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	margin-bottom:.0001pt;
	text-indent:36.0pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;
	font-weight:bold;
	mso-bidi-font-weight:normal;
	font-style:italic;
	mso-bidi-font-style:normal;}
p.MsoBlockText, li.MsoBlockText, div.MsoBlockText
	{mso-style-unhide:no;
	margin-top:0cm;
	margin-right:99.2pt;
	margin-bottom:0cm;
	margin-left:99.25pt;
	margin-bottom:.0001pt;
	text-align:justify;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
a:link, span.MsoHyperlink
	{mso-style-unhide:no;
	mso-style-parent:"";
	color:blue;
	text-decoration:underline;
	text-underline:single;}
a:visited, span.MsoHyperlinkFollowed
	{mso-style-unhide:no;
	mso-style-parent:"";
	color:purple;
	text-decoration:underline;
	text-underline:single;}
em
	{mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-parent:"";
	mso-bidi-font-style:normal;}
p.MsoDocumentMap, li.MsoDocumentMap, div.MsoDocumentMap
	{mso-style-noshow:yes;
	mso-style-unhide:no;
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	mso-pagination:widow-orphan;
	background:navy;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Tahoma","sans-serif";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
	{mso-style-unhide:no;
	margin:0cm;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Courier New";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;}
p
	{mso-style-unhide:no;
	mso-margin-top-alt:auto;
	margin-right:0cm;
	mso-margin-bottom-alt:auto;
	margin-left:0cm;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:SL;
	mso-fareast-language:SL;}
p.MsoCommentSubject, li.MsoCommentSubject, div.MsoCommentSubject
	{mso-style-noshow:yes;
	mso-style-unhide:no;
	mso-style-parent:"Comment Text";
	mso-style-next:"Comment Text";
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;
	font-weight:bold;}
p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
	{mso-style-noshow:yes;
	mso-style-unhide:no;
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	mso-pagination:widow-orphan;
	font-size:8.0pt;
	font-family:"Tahoma","sans-serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.Literatura, li.Literatura, div.Literatura
	{mso-style-name:Literatura;
	mso-style-unhide:no;
	mso-style-parent:Caption;
	margin-top:6.0pt;
	margin-right:5.65pt;
	margin-bottom:0cm;
	margin-left:51.0pt;
	margin-bottom:.0001pt;
	text-indent:-34.0pt;
	mso-pagination:widow-orphan;
	tab-stops:35.45pt;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;}
p.code, li.code, div.code
	{mso-style-name:code;
	mso-style-unhide:no;
	mso-style-link:"code Char";
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:42.55pt;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Courier New";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;
	font-weight:bold;
	mso-bidi-font-weight:normal;}
p.equation, li.equation, div.equation
	{mso-style-name:equation;
	mso-style-unhide:no;
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	text-indent:36.0pt;
	mso-pagination:widow-orphan;
	tab-stops:center 212.65pt right 411.1pt;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.alg, li.alg, div.alg
	{mso-style-name:a_lg;
	mso-style-unhide:no;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:1.0cm;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.code0, li.code0, div.code0
	{mso-style-name:c_ode;
	mso-style-unhide:no;
	mso-style-link:"c_ode Char";
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:85.1pt;
	margin-bottom:.0001pt;
	text-indent:-70.9pt;
	mso-pagination:widow-orphan;
	tab-stops:right 17.0cm;
	font-size:10.0pt;
	font-family:"Courier New";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.eq, li.eq, div.eq
	{mso-style-name:e_q;
	mso-style-unhide:no;
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	text-indent:36.0pt;
	mso-pagination:widow-orphan;
	tab-stops:center 8.0cm right 474.85pt;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.lit, li.lit, div.lit
	{mso-style-name:l_it;
	mso-style-unhide:no;
	mso-style-parent:Caption;
	margin-top:6.0pt;
	margin-right:5.65pt;
	margin-bottom:0cm;
	margin-left:51.0pt;
	margin-bottom:.0001pt;
	text-indent:-34.0pt;
	mso-pagination:widow-orphan;
	tab-stops:49.6pt;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;}
p.sbullet1, li.sbullet1, div.sbullet1
	{mso-style-name:s_bullet1;
	mso-style-unhide:no;
	mso-style-link:"s_bullet1 Char";
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:18.0pt;
	margin-bottom:.0001pt;
	text-align:justify;
	text-indent:-18.0pt;
	mso-pagination:widow-orphan;
	mso-list:l13 level1 lfo4;
	tab-stops:list 18.0pt;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
p.small, li.small, div.small
	{mso-style-name:s_mall;
	mso-style-unhide:no;
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	text-indent:36.0pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	color:black;
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
span.codeChar
	{mso-style-name:"c_ode Char";
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-parent:"";
	mso-style-link:c_ode;
	font-family:"Courier New";
	mso-ascii-font-family:"Courier New";
	mso-hansi-font-family:"Courier New";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	mso-bidi-language:AR-SA;
	layout-grid-mode:line;}
span.codeChar0
	{mso-style-name:"code Char";
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-parent:"";
	mso-style-link:code;
	font-family:"Courier New";
	mso-ascii-font-family:"Courier New";
	mso-hansi-font-family:"Courier New";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	mso-bidi-language:AR-SA;
	layout-grid-mode:line;
	font-weight:bold;
	mso-bidi-font-weight:normal;}
span.sbullet1Char
	{mso-style-name:"s_bullet1 Char";
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-parent:"";
	mso-style-link:s_bullet1;
	mso-ansi-font-size:12.0pt;
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	mso-bidi-language:AR-SA;
	layout-grid-mode:line;}
p.x, li.x, div.x
	{mso-style-name:x;
	mso-style-unhide:no;
	mso-style-link:"x Char";
	margin:0cm;
	margin-bottom:.0001pt;
	text-align:justify;
	text-indent:36.0pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
span.xChar
	{mso-style-name:"x Char";
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-parent:"";
	mso-style-link:x;
	mso-ansi-font-size:12.0pt;
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	mso-bidi-language:AR-SA;
	layout-grid-mode:line;}
p.StyleCaptionNotLatinBold, li.StyleCaptionNotLatinBold, div.StyleCaptionNo=
tLatinBold
	{mso-style-name:"Style Caption + Not \(Latin\) Bold";
	mso-style-unhide:no;
	mso-style-parent:Caption;
	margin-top:6.0pt;
	margin-right:5.65pt;
	margin-bottom:6.0pt;
	margin-left:14.2pt;
	text-indent:14.2pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;}
p.sbullet3, li.sbullet3, div.sbullet3
	{mso-style-name:s_bullet3;
	mso-style-unhide:no;
	margin-top:0cm;
	margin-right:0cm;
	margin-bottom:0cm;
	margin-left:72.0pt;
	margin-bottom:.0001pt;
	text-align:justify;
	text-indent:-18.0pt;
	mso-pagination:widow-orphan;
	mso-list:l11 level1 lfo33;
	tab-stops:list 72.0pt;
	font-size:12.0pt;
	mso-bidi-font-size:10.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-ansi-language:EN-US;
	mso-fareast-language:EN-US;
	layout-grid-mode:line;}
span.SpellE
	{mso-style-name:"";
	mso-spl-e:yes;}
span.GramE
	{mso-style-name:"";
	mso-gram-e:yes;}
 /* Page Definitions */
 @page
	{mso-page-border-surround-header:no;
	mso-page-border-surround-footer:no;
	mso-footnote-separator:url("help_files/header.htm") fs;
	mso-footnote-continuation-separator:url("help_files/header.htm") fcs;
	mso-endnote-separator:url("help_files/header.htm") es;
	mso-endnote-continuation-separator:url("help_files/header.htm") ecs;
	mso-footnote-numbering-restart:each-page;
	mso-endnote-numbering-style:arabic;
	mso-endnote-numbering-restart:each-section;}
@page WordSection1
	{size:21.0cm 842.0pt;
	margin:70.9pt 2.0cm 70.9pt 2.0cm;
	mso-header-margin:2.0cm;
	mso-footer-margin:70.9pt;
	mso-page-numbers:roman-lower;
	mso-page-numbers-chapter-separator:period;
	mso-even-header:url("help_files/header.htm") eh1;
	mso-header:url("help_files/header.htm") h1;
	mso-even-footer:url("help_files/header.htm") ef1;
	mso-footer:url("help_files/header.htm") f1;
	mso-first-header:url("help_files/header.htm") fh1;
	mso-first-footer:url("help_files/header.htm") ff1;
	mso-paper-source:0;}
div.WordSection1
	{page:WordSection1;
	mso-footnote-numbering-restart:each-page;
	mso-endnote-numbering-style:arabic;
	mso-endnote-numbering-restart:each-section;}
@page WordSection2
	{size:21.0cm 842.0pt;
	margin:70.9pt 2.0cm 70.9pt 2.0cm;
	mso-header-margin:2.0cm;
	mso-footer-margin:70.9pt;
	mso-page-numbers:roman-lower;
	mso-page-numbers-chapter-separator:period;
	mso-even-header:url("help_files/header.htm") eh1;
	mso-header:url("help_files/header.htm") h1;
	mso-even-footer:url("help_files/header.htm") ef1;
	mso-footer:url("help_files/header.htm") f2;
	mso-first-header:url("help_files/header.htm") fh1;
	mso-first-footer:url("help_files/header.htm") ff1;
	mso-paper-source:0;}
div.WordSection2
	{page:WordSection2;
	mso-footnote-numbering-restart:each-page;
	mso-endnote-numbering-style:arabic;
	mso-endnote-numbering-restart:each-section;}
@page WordSection3
	{size:21.0cm 842.0pt;
	margin:70.9pt 2.0cm 70.9pt 2.0cm;
	mso-header-margin:2.0cm;
	mso-footer-margin:70.9pt;
	mso-page-numbers:0;
	mso-page-numbers-chapter-separator:period;
	mso-even-header:url("help_files/header.htm") eh1;
	mso-header:url("help_files/header.htm") h3;
	mso-even-footer:url("help_files/header.htm") ef1;
	mso-footer:url("help_files/header.htm") f3;
	mso-first-header:url("help_files/header.htm") fh1;
	mso-first-footer:url("help_files/header.htm") ff1;
	mso-paper-source:0;}
div.WordSection3
	{page:WordSection3;
	mso-footnote-numbering-restart:each-page;
	mso-endnote-numbering-style:arabic;
	mso-endnote-numbering-restart:each-section;}
@page WordSection4
	{size:21.0cm 842.0pt;
	margin:70.9pt 2.0cm 70.9pt 2.0cm;
	mso-header-margin:2.0cm;
	mso-footer-margin:70.9pt;
	mso-page-numbers-chapter-separator:period;
	mso-even-header:url("help_files/header.htm") eh1;
	mso-header:url("help_files/header.htm") h4;
	mso-even-footer:url("help_files/header.htm") ef1;
	mso-footer:url("help_files/header.htm") f3;
	mso-first-header:url("help_files/header.htm") fh1;
	mso-first-footer:url("help_files/header.htm") ff1;
	mso-paper-source:0;}
div.WordSection4
	{page:WordSection4;
	mso-footnote-numbering-restart:each-page;
	mso-endnote-numbering-style:arabic;
	mso-endnote-numbering-restart:each-section;}
 /* List Definitions */
 @list l0
	{mso-list-id:-132;
	mso-list-type:simple;
	mso-list-template-ids:-887315036;}
@list l0:level1
	{mso-level-tab-stop:74.6pt;
	mso-level-number-position:left;
	margin-left:74.6pt;
	text-indent:-18.0pt;}
@list l1
	{mso-list-id:-131;
	mso-list-type:simple;
	mso-list-template-ids:851075528;}
@list l1:level1
	{mso-level-tab-stop:60.45pt;
	mso-level-number-position:left;
	margin-left:60.45pt;
	text-indent:-18.0pt;}
@list l2
	{mso-list-id:-130;
	mso-list-type:simple;
	mso-list-template-ids:-1097163510;}
@list l2:level1
	{mso-level-tab-stop:46.3pt;
	mso-level-number-position:left;
	margin-left:46.3pt;
	text-indent:-18.0pt;}
@list l3
	{mso-list-id:-129;
	mso-list-type:simple;
	mso-list-template-ids:-129234748;}
@list l3:level1
	{mso-level-tab-stop:32.15pt;
	mso-level-number-position:left;
	margin-left:32.15pt;
	text-indent:-18.0pt;}
@list l4
	{mso-list-id:-128;
	mso-list-type:simple;
	mso-list-template-ids:711785850;}
@list l4:level1
	{mso-level-number-format:bullet;
	mso-level-text:\F0B7;
	mso-level-tab-stop:74.6pt;
	mso-level-number-position:left;
	margin-left:74.6pt;
	text-indent:-18.0pt;
	font-family:Symbol;}
@list l5
	{mso-list-id:-127;
	mso-list-type:simple;
	mso-list-template-ids:-286642722;}
@list l5:level1
	{mso-level-number-format:bullet;
	mso-level-text:\F0B7;
	mso-level-tab-stop:60.45pt;
	mso-level-number-position:left;
	margin-left:60.45pt;
	text-indent:-18.0pt;
	font-family:Symbol;}
@list l6
	{mso-list-id:-126;
	mso-list-type:simple;
	mso-list-template-ids:381610272;}
@list l6:level1
	{mso-level-number-format:bullet;
	mso-level-text:\F0B7;
	mso-level-tab-stop:46.3pt;
	mso-level-number-position:left;
	margin-left:46.3pt;
	text-indent:-18.0pt;
	font-family:Symbol;}
@list l7
	{mso-list-id:-125;
	mso-list-type:simple;
	mso-list-template-ids:-123054750;}
@list l7:level1
	{mso-level-number-format:bullet;
	mso-level-text:\F0B7;
	mso-level-tab-stop:32.15pt;
	mso-level-number-position:left;
	margin-left:32.15pt;
	text-indent:-18.0pt;
	font-family:Symbol;}
@list l8
	{mso-list-id:-120;
	mso-list-type:simple;
	mso-list-template-ids:-329499684;}
@list l8:level1
	{mso-level-tab-stop:18.0pt;
	mso-level-number-position:left;
	margin-left:18.0pt;
	text-indent:-18.0pt;}
@list l9
	{mso-list-id:-119;
	mso-list-type:simple;
	mso-list-template-ids:-124764588;}
@list l9:level1
	{mso-level-number-format:bullet;
	mso-level-text:\F0B7;
	mso-level-tab-stop:18.0pt;
	mso-level-number-position:left;
	margin-left:18.0pt;
	text-indent:-18.0pt;
	font-family:Symbol;}
@list l10
	{mso-list-id:-5;
	mso-list-template-ids:990156082;}
@list l10:level1
	{mso-level-style-link:"Heading 1";
	mso-level-text:%1;
	mso-level-tab-stop:22.7pt;
	mso-level-number-position:left;
	margin-left:0cm;
	text-indent:0cm;}
@list l10:level2
	{mso-level-style-link:"Heading 2";
	mso-level-text:"%1\.%2";
	mso-level-tab-stop:0cm;
	mso-level-number-position:left;
	margin-left:0cm;
	text-indent:0cm;}
@list l10:level3
	{mso-level-style-link:"Heading 3";
	mso-level-text:"%1\.%2\.%3";
	mso-level-tab-stop:0cm;
	mso-level-number-position:left;
	margin-left:0cm;
	text-indent:0cm;}
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<body lang=3DEN-US link=3Dblue vlink=3Dpurple style=3D'tab-interval:36.0pt'>

<div class=3DWordSection1>

<p class=3Dequation style=3D'tab-stops:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3Dequation style=3D'tab-stops:36.0pt'><span style=3D'font-size:16.=
0pt;
color:red'>Wo<a name=3D"_Hlt55798112">rk in progress!</a></span><span
style=3D'mso-bookmark:_Hlt55798112'><span style=3D'font-size:16.0pt'><span
style=3D'mso-spacerun:yes'>&nbsp; </span><!--[if gte vml 1]><v:shapetype id=
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5l@4@11@9@11@9@5xe"
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or\www\www\igor\work.gif"/>
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src=3D"help_files/image002.gif"
alt=3D"This page is under construction. Icon is missing." v:shapes=3D"_x000=
0_i1025"><![endif]><o:p></o:p></span></span></p>

<span style=3D'mso-bookmark:_Hlt55798112'></span>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoBodyTextIndent2 style=3D'text-indent:0cm'><a name=3Dmaintitle=
></a><a
name=3D"_Hlt56855137"></a><a name=3D"_Hlt107204618"></a><span class=3DSpell=
E><span
style=3D'mso-bookmark:maintitle'>NeurApp</span></span><span style=3D'mso-bo=
okmark:
maintitle'></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoBodyTextIndent2 style=3D'text-indent:0cm'><span style=3D'font=
-size:
20.0pt;font-style:normal;mso-bidi-font-style:italic'><span
style=3D'mso-spacerun:yes'>&nbsp;</span>Exploring Approximation <o:p></o:p>=
</span></p>

<p class=3DMsoBodyTextIndent2 style=3D'text-indent:0cm'><span class=3DGramE=
><span
style=3D'font-size:20.0pt;font-style:normal;mso-bidi-font-style:italic'>by<=
/span></span><span
style=3D'font-size:20.0pt;font-style:normal;mso-bidi-font-style:italic'>
Artificial Neural Networks<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoBodyTextIndent2 style=3D'text-indent:0cm'><a name=3D"_Hlt5037=
98010"></a><span
style=3D'font-size:20.0pt;font-weight:normal;mso-bidi-font-weight:bold;
font-style:normal;mso-bidi-font-style:italic'>User Manual<o:p></o:p></span>=
</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><i style=3D=
'mso-bidi-font-style:
normal'><span style=3D'font-size:16.0pt'>Version <a name=3Drevision>1.0</a>=
, <a
name=3Dyear>March 201</a>3.</span></i><i style=3D'mso-bidi-font-style:norma=
l'><span
lang=3DSL style=3D'font-size:16.0pt;mso-ansi-language:SL'><o:p></o:p></span=
></i></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span class=
=3DGramE><span
style=3D'font-size:14.0pt'>by</span></span><span style=3D'font-size:14.0pt'=
> <a
name=3Dauthors>Igor </a><span class=3DSpellE><span style=3D'mso-bookmark:au=
thors'>Gre</span></span></span><span
style=3D'mso-bookmark:authors'><span lang=3DSL style=3D'font-size:14.0pt;ms=
o-ansi-language:
SL'>&#353;ovnik &amp; Tadej Kodelja</span></span><span lang=3DSL
style=3D'font-size:14.0pt;mso-ansi-language:SL'> <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><!--[if gte vml=
 1]><v:shapetype
 id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,216=
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</v:shapetype><v:shape id=3D"_x0000_s1031" type=3D"#_x0000_t202" style=3D'p=
osition:absolute;
 margin-left:-.3pt;margin-top:214.95pt;width:486pt;height:162.5pt;z-index:2=
51657728'
 filled=3D"f" stroked=3D"f"/><![endif]--><![if !vml]><span style=3D'mso-ign=
ore:vglayout;
position:absolute;z-index:251657728;margin-left:0px;margin-top:287px;
width:652px;height:220px'>

<table cellpadding=3D0 cellspacing=3D0>
 <tr>
  <td width=3D652 height=3D220 style=3D'vertical-align:top'><![endif]><![if=
 !mso]><span
  style=3D'position:absolute;mso-ignore:vglayout;z-index:251657728'>
  <table cellpadding=3D0 cellspacing=3D0 width=3D"100%">
   <tr>
    <td><![endif]>
    <div v:shape=3D"_x0000_s1031" style=3D'padding:3.6pt 7.2pt 3.6pt 7.2pt'
    class=3Dshape>
    <p class=3DMsoNormal align=3Dright style=3D'text-align:right'><!--[if g=
te vml 1]><v:shape
     id=3D"_x0000_i1039" type=3D"#_x0000_t75" alt=3D"Dragonfly Server&#13;&=
#10;              Logo."
     style=3D'width:96pt;height:72.75pt'>
     <v:imagedata src=3D"help_files/image003.jpg" o:href=3D"http://www2.arn=
es.si/%7Eljc3m2/igor/iglib/dragonfly_server_small.jpg"/>
    </v:shape><![endif]--><![if !vml]><img width=3D128 height=3D97
    src=3D"help_files/image004.jpg" alt=3D"Dragonfly Server&#13;&#10;      =
        Logo."
    v:shapes=3D"_x0000_i1039"><![endif]></p>
    <p class=3DMsoNormal><o:p>&nbsp;</o:p></p>
    <p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span
    style=3D'font-size:10.0pt'>This software is based on the Investigative
    Generic Library (<span class=3DSpellE>IGLib</span>). <o:p></o:p></span>=
</p>
    <p class=3DMsoNormal><span style=3D'font-size:10.0pt'>It was originally=
 created
    as auxiliary tool for authors&#8217; work at COBIK. <o:p></o:p></span><=
/p>
    <p class=3DMsoNormal style=3D'tab-stops:right 467.8pt'><!--[if gte vml =
1]><v:shape
     id=3D"_x0000_i1040" type=3D"#_x0000_t75" alt=3D"CO BIK" style=3D'width=
:111pt;
     height:42pt'>
     <v:imagedata src=3D"help_files/image005.png" o:href=3D"http://www.cobi=
k.si/assets/templates/cobik/images/logo-eng.gif"/>
    </v:shape><![endif]--><![if !vml]><img width=3D148 height=3D56
    src=3D"help_files/image006.jpg" alt=3D"CO BIK" v:shapes=3D"_x0000_i1040=
"><![endif]><span
    style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp; </span><!--[if gte vml 1]><v:shape
     id=3D"_x0000_i1041" type=3D"#_x0000_t75" style=3D'width:133.5pt;height=
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k.si/assets/templates/cobik/images/eu_skladeng.gif"/>
    </v:shape><![endif]--><![if !vml]><img width=3D178 height=3D56
    src=3D"help_files/image008.jpg" v:shapes=3D"_x0000_i1041"><![endif]></p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  </span><![endif]><![if !mso & !vml]>&nbsp;<![endif]><![if !vml]></td>
 </tr>
</table>

</span><![endif]><i><span style=3D'mso-bidi-font-size:12.0pt'><!--[if gte v=
ml 1]><v:shape
 id=3D"_x0000_i1026" type=3D"#_x0000_t75" style=3D'width:288.75pt;height:27=
3pt'>
 <v:imagedata src=3D"help_files/image009.jpg" o:title=3D"neurapp_title_smal=
l"/>
</v:shape><![endif]--><![if !vml]><img width=3D385 height=3D364
src=3D"help_files/image010.jpg" v:shapes=3D"_x0000_i1026"><![endif]></span>=
</i><span
style=3D'mso-bidi-font-size:12.0pt'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

</div>

<span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Time=
s New Roman","serif";
mso-fareast-font-family:"Times New Roman";mso-ansi-language:EN-US;mso-farea=
st-language:
EN-US;mso-bidi-language:AR-SA;layout-grid-mode:line'><br clear=3Dall
style=3D'page-break-before:auto;mso-break-type:section-break'>
</span>

<div class=3DWordSection2><br clear=3Dall style=3D'mso-special-character:li=
ne-break;
page-break-before:always'>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><i style=3D'm=
so-bidi-font-style:
normal'><span style=3D'font-size:16.0pt;mso-bidi-font-size:10.0pt'>Contents=
:<o:p></o:p></span></i></b></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoToc1 style=3D'tab-stops:24.0pt right dotted 481.45pt'><!--[if=
 supportFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>TOC \o &quot;1-3&quot; \h \z \u <sp=
an
style=3D'mso-element:field-separator'></span><![endif]--><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1079">1<span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;color:windowtext;mso-ansi-lang=
uage:
SL;mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;
font-weight:normal;font-style:normal;text-decoration:none;text-underline:no=
ne'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Intr=
oduction<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span></span=
><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821079 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>1</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000370039000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;mso-ansi-language:SL;mso-farea=
st-language:
SL;mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;font-style:
normal;mso-no-proof:yes'><o:p></o:p></span></p>

<p class=3DMsoToc1 style=3D'tab-stops:24.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1080">2<span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;color:windowtext;mso-ansi-lang=
uage:
SL;mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;
font-weight:normal;font-style:normal;text-decoration:none;text-underline:no=
ne'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Shor=
t User
Manual<span style=3D'color:windowtext;display:none;mso-hide:screen;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1 dotted'> </span></=
span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821080 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>1</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380030000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;mso-ansi-language:SL;mso-farea=
st-language:
SL;mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;font-style:
normal;mso-no-proof:yes'><o:p></o:p></span></p>

<p class=3DMsoToc2 style=3D'tab-stops:48.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1081">2.1<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;font-wei=
ght:
normal;text-decoration:none;text-underline:none'><span style=3D'mso-tab-cou=
nt:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Installation and Use<=
span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span></span=
><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821081 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>1</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380031000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;mso-no-proof:
yes'><o:p></o:p></span></p>

<p class=3DMsoToc2 style=3D'tab-stops:48.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1082">2.2<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;font-wei=
ght:
normal;text-decoration:none;text-underline:none'><span style=3D'mso-tab-cou=
nt:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>One Parametric
Approximations<span style=3D'color:windowtext;display:none;mso-hide:screen;
text-decoration:none;text-underline:none'><span style=3D'mso-tab-count:1 do=
tted'>. </span></span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821082 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>2</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380032000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;mso-no-proof:
yes'><o:p></o:p></span></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1083">2.2.1<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Defining
the Approximated Function and Training Data<span style=3D'color:windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-tab-count:1 dotted'>. </span></span><!--[if supportFields]><sp=
an
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821083 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>3</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380033000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1084">2.2.2<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Training
the Neural Network<span style=3D'color:windowtext;display:none;mso-hide:scr=
een;
text-decoration:none;text-underline:none'><span style=3D'mso-tab-count:1 do=
tted'>. </span></span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821084 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>4</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380034000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1085">2.2.3<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Safety
Factors<span style=3D'color:windowtext;display:none;mso-hide:screen;text-de=
coration:
none;text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span><=
/span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821085 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>5</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380035000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1086">2.2.4<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Checking
Results<span style=3D'color:windowtext;display:none;mso-hide:screen;text-de=
coration:
none;text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span><=
/span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821086 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>5</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380036000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc2 style=3D'tab-stops:48.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1087">2.3<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;font-wei=
ght:
normal;text-decoration:none;text-underline:none'><span style=3D'mso-tab-cou=
nt:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Functions of 2 Variab=
les
with 3D Surface Plots<span style=3D'color:windowtext;display:none;mso-hide:=
screen;
text-decoration:none;text-underline:none'><span style=3D'mso-tab-count:1 do=
tted'>. </span></span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821087 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>6</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380037000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;mso-no-proof:
yes'><o:p></o:p></span></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1088">2.3.1<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Defining
the Approximated Function and Training Data<span style=3D'color:windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-tab-count:1 dotted'>. </span></span><!--[if supportFields]><sp=
an
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821088 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>7</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380038000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1089">2.3.2<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Network
Architecture and Training Parameters<span style=3D'color:windowtext;display=
:none;
mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-tab-count:1 dotted'>. </span></span><!--[if supportFields]><sp=
an
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821089 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>7</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000380039000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc3 style=3D'tab-stops:60.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1090">2.3.3<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;text-dec=
oration:
none;text-underline:none'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp=
;&nbsp; </span></span>Showing
Training Data and Results<span style=3D'color:windowtext;display:none;mso-h=
ide:
screen;text-decoration:none;text-underline:none'><span style=3D'mso-tab-cou=
nt:
1 dotted'>. </span></span><!--[if supportFields]><span style=3D'color:windo=
wtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-begin'></span></span><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'> PAG=
EREF
_Toc349821090 \h </span><span style=3D'color:windowtext;display:none;mso-hi=
de:
screen;text-decoration:none;text-underline:none'><span style=3D'mso-element=
:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>8</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000390030000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;mso-no-proof:yes'><o:p></o:p></s=
pan></p>

<p class=3DMsoToc2 style=3D'tab-stops:48.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1091">2.4<span
lang=3DSL style=3D'font-size:12.0pt;color:windowtext;mso-ansi-language:SL;
mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;font-wei=
ght:
normal;text-decoration:none;text-underline:none'><span style=3D'mso-tab-cou=
nt:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Accessing Help and Web
Pages<span style=3D'color:windowtext;display:none;mso-hide:screen;text-deco=
ration:
none;text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span><=
/span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821091 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>11</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000390031000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'font-size:12.0pt;mso-ansi-language:SL;mso-fareast-langua=
ge:SL;
mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;mso-no-proof:
yes'><o:p></o:p></span></p>

<p class=3DMsoToc1 style=3D'tab-stops:24.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1092">3<span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;color:windowtext;mso-ansi-lang=
uage:
SL;mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;
font-weight:normal;font-style:normal;text-decoration:none;text-underline:no=
ne'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Scre=
enshots<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span></span=
><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821092 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>12</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000390032000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;mso-ansi-language:SL;mso-farea=
st-language:
SL;mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;font-style:
normal;mso-no-proof:yes'><o:p></o:p></span></p>

<p class=3DMsoToc1 style=3D'tab-stops:24.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1093">4<span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;color:windowtext;mso-ansi-lang=
uage:
SL;mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;
font-weight:normal;font-style:normal;text-decoration:none;text-underline:no=
ne'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Abou=
t the
Software<span style=3D'color:windowtext;display:none;mso-hide:screen;text-d=
ecoration:
none;text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span><=
/span><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821093 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>16</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000390033000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;mso-ansi-language:SL;mso-farea=
st-language:
SL;mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;font-style:
normal;mso-no-proof:yes'><o:p></o:p></span></p>

<p class=3DMsoToc1 style=3D'tab-stops:24.0pt right dotted 481.45pt'><span
class=3DMsoHyperlink><span style=3D'mso-no-proof:yes'><a href=3D"#_Toc34982=
1094">5<span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;color:windowtext;mso-ansi-lang=
uage:
SL;mso-fareast-language:SL;mso-bidi-language:HE;layout-grid-mode:both;
font-weight:normal;font-style:normal;text-decoration:none;text-underline:no=
ne'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>Sand=
box<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-tab-count:1 dotted'>. </span></span=
><!--[if supportFields]><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'><span style=3D'mso-element:field-begin'></span></span>=
<span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'> PAGEREF _Toc349821094 \h </span><span style=3D'color:=
windowtext;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'color:windowtext;display:none;mso-hide:screen;text-decoration:none;
text-underline:none'>20</span><span style=3D'color:windowtext;display:none;
mso-hide:screen;text-decoration:none;text-underline:none'><!--[if gte mso 9=
]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005400=
6F0063003300340039003800320031003000390034000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'color:window=
text;
display:none;mso-hide:screen;text-decoration:none;text-underline:none'><span
style=3D'mso-element:field-end'></span></span><![endif]--></a></span></span=
><span
lang=3DSL style=3D'mso-bidi-font-size:12.0pt;mso-ansi-language:SL;mso-farea=
st-language:
SL;mso-bidi-language:HE;layout-grid-mode:both;font-weight:normal;font-style:
normal;mso-no-proof:yes'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><!--[if supportFields]><s=
pan
style=3D'mso-element:field-end'></span><![endif]--><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3Dequation style=3D'tab-stops:36.0pt'><o:p>&nbsp;</o:p></p>

</div>

<span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Time=
s New Roman","serif";
mso-fareast-font-family:"Times New Roman";mso-ansi-language:EN-US;mso-farea=
st-language:
EN-US;mso-bidi-language:AR-SA;layout-grid-mode:line'><br clear=3Dall
style=3D'page-break-before:auto;mso-break-type:section-break'>
</span>

<div class=3DWordSection3>

<p class=3Dequation style=3D'tab-stops:36.0pt'><o:p>&nbsp;</o:p></p>

<span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Time=
s New Roman","serif";
mso-fareast-font-family:"Times New Roman";mso-ansi-language:EN-US;mso-farea=
st-language:
EN-US;mso-bidi-language:AR-SA;layout-grid-mode:line'><br clear=3Dall
style=3D'mso-special-character:line-break;page-break-before:always'>
</span>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><a name=3D"_Hlt480655247"=
></a><o:p>&nbsp;</o:p></p>

<p class=3Dequation style=3D'tab-stops:36.0pt'><o:p>&nbsp;</o:p></p>

<h1 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level1 lfo1'><a
name=3D"_Toc349821079"></a><a name=3D"_Toc349256589"></a><a name=3D"_Ref185=
235514"></a><a
name=3D"_Ref162060045"></a><a name=3D"_Ref111196421"></a><a name=3D"_Toc966=
68344"></a><a
name=3D"_Toc96668183"><span style=3D'mso-bookmark:_Toc96668344'><span
style=3D'mso-bookmark:_Ref111196421'><span style=3D'mso-bookmark:_Ref162060=
045'><span
style=3D'mso-bookmark:_Ref185235514'><span style=3D'mso-bookmark:_Toc349256=
589'><span
style=3D'mso-bookmark:_Toc349821079'><![if !supportLists]><span style=3D'fo=
nt-variant:
normal !important;text-transform:uppercase'><span style=3D'mso-list:Ignore'=
>1<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-variant:normal !importan=
t;
text-transform:uppercase'>Introduction</span></span></span></span></span></=
span></span></a><span
style=3D'font-variant:normal !important;text-transform:uppercase'><o:p></o:=
p></span></h1>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><a name=3Dsoftwarename></=
a><span
class=3DSpellE><span style=3D'mso-bookmark:softwarename'>NeurApp</span></sp=
an><span
style=3D'mso-bookmark:softwarename'></span> is an educational software inte=
nded used
for exploring how neural network approximation works on functions of one and
two variables. You can input different functions to be approximated by an
artificial neural networks (ANN), generate training points where the values=
 of
reference function are calculated and used for approximation, set some
parameters of the training procedure, train the neural network on the gener=
ated
data, and compare the obtained model (<span class=3DSpellE>i</span>. e. the
approximation obtained by the trained neural network) to the original funct=
ion
that was used for generation of training data.</p>

<h1 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level1 lfo1'><a
name=3D"_Toc349821080"></a><a name=3D"_Toc349256590"></a><a name=3D"_Hlt967=
52675"></a><![if !supportLists]><span
style=3D'mso-bookmark:_Toc349821080'><span style=3D'mso-bookmark:_Toc349256=
590'><span
style=3D'font-variant:normal !important;text-transform:uppercase'><span
style=3D'mso-list:Ignore'>2<span style=3D'font:7.0pt "Times New Roman"'>&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span></span></span><![endif]><span style=3D'mso-bookmark:_T=
oc349821080'><span
style=3D'mso-bookmark:_Toc349256590'><span style=3D'font-variant:normal !im=
portant;
text-transform:uppercase'>Short User Manual</span></span></span><span
style=3D'font-variant:normal !important;text-transform:uppercase'><o:p></o:=
p></span></h1>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h2 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level2 lfo1'><a
name=3D"_Toc349821081"></a><a name=3D"_Toc349256591"><span style=3D'mso-boo=
kmark:
_Toc349821081'><![if !supportLists]><span style=3D'mso-list:Ignore'>2.1<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span><![endif]>Installation
and Use</span></a></h2>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Installing and using the =
software
is extremely simple. In order to install the software, just grab the archiv=
e,
expand it, and copy the contained file into some directory. Double-click on=
 the
executable file in any file browser (such as the Windows Explorer) in order=
 to
execute the software.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>In order to start using t=
he
software, click either on the &#8221;1D Approximation&#8221; or on the
&#8220;2D Approximation&#8221; tab, dependent on whether you want to
approximate functions of one or two variables. Then, click on the
&#8220;Generate Data&#8221; button, wait a moment until a graph of the model
function with the generated training points is shown, and then click the
&#8220;Start&#8221; button. This will trigger the training procedure and wh=
en
training is finished, the obtained approximated function will be plotted. <=
/p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Training may take a while,
dependent on the value of the number of epochs that are performed. Everythi=
ng
else is quite intuitive; you can change the number of generated training
points, choose or manually insert the approximated function, and adjust
parameters of the training procedure. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>When approximating functi=
ons of 2
variables, graphs of the original function and its approximation will be sh=
own
in a separate window rather than in embedded window. After pressing the
&#8220;Generate Data&#8221; button, wait until the graph window is launched,
then you can view it from different angles and zoom it. Before proceeding
further, close the graph window. After pressing the &#8220;Start&#8221; but=
ton,
wait again until graph is launched, and close the graph window when viewing=
 is
done. You can interact with 3D graphics windows by mouse and keyboard, press
the &#8216;R&#8217; key in order to position the objects in default way, and
the &#8216;T&#8217; button in order to change the interaction mode <span
lang=3DSL style=3D'mso-ansi-language:SL'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h2 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level2 lfo1'><a
name=3D"_Toc349821082"><![if !supportLists]><span style=3D'mso-list:Ignore'=
>2.2<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span><![endif]>One
Parametric Approximations</a></h2>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><span lang=3DSL style=3D'mso-ansi-language:SL'><!--[if=
 gte vml 1]><v:shape
 id=3D"_x0000_i1027" type=3D"#_x0000_t75" style=3D'width:537pt;height:335.2=
5pt'
 o:ole=3D"">
 <v:imagedata src=3D"help_files/image011.emz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D716 height=3D447
src=3D"help_files/image012.gif" v:shapes=3D"_x0000_i1027"><![endif]><!--[if=
 gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Word.Picture.8" ShapeID=3D"_x0000_i1=
027"
  DrawAspect=3D"Content" ObjectID=3D"_1423573356">
 </o:OLEObject>
</xml><![endif]--></span></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>1</span><!--[if supportFields]><span style=3D'mso-element:field-end'><=
/span><![endif]-->:<span
style=3D'font-weight:normal'> GUI for approximation of functions of one var=
iable.
<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>While approximation of fu=
nctions
of a single variable is the least interesting problem in ANN-based modeling,
playing with such approximations is instructive because very clear graphic =
representations
of results can be made. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Exploring 1D ANN-based
approximations in <!--[if supportFields]><span style=3D'mso-element:field-b=
egin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF softwarename \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span class=3DSpel=
lE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->
is intuitive and can be learned in a minute. Clicking on the &#8220;<i>1D
Approximation</i>&#8221; tab on the top of the application&#8217;s form
activates the user interface for 1D <span class=3DGramE>approximations</spa=
n>. To
see how it works, click first on the &#8220;<i>Generate data</i>&#8221; but=
ton
and then on the &#8220;<i>Start</i>&#8221; button, and that&#8217;s it. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Clicking on the &#8220;<i=
>Generate
data</i>&#8221; button samples the function that you want to approximate an=
d is
specified next to the &#8220;<i>f(x) <span class=3DGramE>=3D<span style=3D'=
font-style:
normal'> &#8221;</span></span></i> label, in order to generate function val=
ues
used to train the neural network. After the training data is generated, it =
is
immediately shown on the graph on the right-hand side (together with the
approximated function on the interval where values are sampled), and the
&#8220;<i>Start</i>&#8221; button gets active. Pressing the start button tr=
ains
the neural network on the data that has been generated. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>During the training proce=
dure,
the neural network tries to produce an intrinsic function that fits well the
training data, without knowing anything about the original function used to
generate that data. After training is done, the graph on the top right of t=
he
form shows the approximation generated by the neural network, the training =
data
used to generate this approximation, and the original function used to
generated the data. In this way you can visualize how much the approximated
function deviates from the original one. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>You can vary the number of
sampled function values in the training data, change interval on which trai=
ning
data is generated, modify the approximation function itself, and change neu=
ral
network architecture and training parameters and observe how any of these
circumstances affect the accuracy of the approximation (i.e., how closely t=
he
approximation fits the original function). In further subsections it is
explained how to adjust specific things that influence the approximation. <=
/p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821083"></a><a name=3D"_Ref349776721"><span style=3D'mso-boo=
kmark:
_Toc349821083'><![if !supportLists]><span style=3D'mso-list:Ignore'>2.2.1<s=
pan
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Defining
the Approximated Function and Training Data</span></a></h3>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>When starting the applica=
tion,
there is already a pre-set default function to be approximated. You can cha=
nge
the approximated function by using the input field next to the &#8220;<i>f(=
x) =3D</i>&#8221;
label, and this can be done in two ways. If the checkbox &#8220;<i>Function
defined by user</i>&#8221; is unchecked, you can choose one of the pre-defi=
ned functions
from the drop-down list that opens when clicking on the triangular arrow
positioned on the right-hand side of the text field.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>In order to define at own=
 will an
arbitrary function to be approximated, check the &#8220;<i>Function defined=
 by
user</i>&#8221; checkbox. When the checkbox is checked, you can insert expr=
essions
defining an arbitrary function in a standard symbolic way by using &#8220;<=
i>x</i>&#8221;
for independent variables, standard operators such as +, -, * (multiplicati=
on),
/ (division), a number of standard mathematical functions, and parentheses =
for
grouping expressions and overriding operator precedence in order to define
order of evaluation. There is no operator for powers, and you must used the
function &#8220;<span class=3DSpellE><i>pow</i></span>&#8221;, e.g. the
expression &#8220;<span class=3DSpellE>pow</span>(x<span class=3DGramE>,3</=
span>/2)&#8221;
means the independent variable x raised to the power of 3/2 (which is
equivalent to calculating square root of x and raising the obtained value to
the third power). </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Warning: You can not inse=
rt your
own function definition when the &#8220;<i>Function defined by user</i>&#82=
21;
checkbox is not checked. The text field for inserting functions is green wh=
en
user defined functions are allowed. If you insert an invalid expression that
defines the approximated function (e.g. forget a bracket or use a mathemati=
cal
function that is not defined, the text field will turn orange when you atte=
mpt
to generate the data.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>In the &#8220;<i>Limits</=
i>&#8221;
box, you can define the interval on which the approximated function is samp=
led
in order to generate the training data. Number of function values to be
generated and used in training is defined next to &#8220;Number of training
samples&#8221;. If the &#8220;<i>Random training data</i>&#8221; is checked
then function will be evaluated in randomly chosen points. Otherwise, it is
sampled in equidistant points on the selected interval.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Generation of function va=
lues
used for training (sampling) is triggered by clicking on the &#8220;Generate
Data&#8221; button. Sampled function values are shown as points on the graph
where the original function is shown, too.</p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821084"></a><a name=3D"_Ref349777537"><span style=3D'mso-boo=
kmark:
_Toc349821084'><![if !supportLists]><span style=3D'mso-list:Ignore'>2.2.2<s=
pan
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Training
the Neural Network</span></a></h3>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>The ANN-based approximati=
on of
the original function is calculated by training the neural network on the
sampled values generated before. In this procedure, the internal state of t=
he
neural network is continuously updated in such a way that the discrepancy b=
etween
the training data and the outputs generated by the network are minimized.
Training (generation of the approximation) begins by pressing the &#8220;<i=
>Start</i>&#8221;
button and finishes either when the prescribed accuracy is reached or when =
the
maximal prescribed training time (measured in <i>epochs</i>, i.e. in iterat=
ions
of the training algorithm) elapses. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>The user can define the r=
equired
accuracy by setting a tolerance (a small positive number) on the RMS (root =
mean
square) error, which is inserted next to the &#8220;<i>RMS</i>&#8221; label=
. The
training procedure will stop when the error measure drops below the user
defined tolerance. In order to prevent infinite looping when the tolerance =
can
not be achieved, the maximal number of epochs can be set next to <span
class=3DGramE>the &#8221;</span><i>Max. Epochs</i>&#8221; label. If the tra=
ining
algorithm performs that number of epochs, it will stop even if the required
accuracy is not reached. The box next to &#8220;<i>Epochs in bundle</i>&#82=
21;
just defines granularity of convergence checks, which are not performed aft=
er
every epoch (iteration) of the training procedure, but only after each spec=
ified
number of iterations defined by this parameter. This has no significant eff=
ect
on results in most cases, but speed ups computation by a small factor.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Network architecture can =
be
defined next to the &#8220;<i>Neurons in hidden layers</i>&#8221; label.
Networks with one or two layers of hidden neurons can be used, and the numb=
er
of neurons in each hidden layer can be independently defined in the
corresponding field. The second number can be 0 meaning that a neural netwo=
rk
with a single hidden layer is be used. In general, more neurons in hidden
layers means more connections between neurons, thus more free parameters (w=
eights)
to be adjusted and better fitting capabilities of the network (but also
increased probability for <span class=3DSpellE>overfitting</span> and longer
computation times). Therefore, approximation of more complex functions (e.g.
with wild oscillations or sharp transitions) requires more neurons to achie=
ve
comparable accuracy as with simple functions, provided of course that the
number of training data is also appropriately larger. In a two layer networ=
k,
each neuron of the first hidden layer is connected to each neuron in the se=
cond
layer, meaning that the number of connection increases <span class=3DSpellE=
>quadratically</span>
with simultaneously increasing number of neurons in both layers.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Two parameters of the tra=
ining
procedure, namely the <i>learning rate</i> and the <i>momentum</i>, can be
adjusted in the corresponding text fields. These parameters can be both set=
 to
positive values lesser than 1. Increasing the learning rate means that the
weights and biases are more quickly adjusted in the opposite direction of t=
he
error gradient in order to decrease the error, which means faster decrease =
of
errors at the beginning, but can cause more numerical instability. Momentum
adds inertia to the training procedure, and simply adds a fraction of the
previous weight update to the current one calculated by error back propagat=
ion.
</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821085"><![if !supportLists]><span style=3D'mso-list:Ignore'=
>2.2.3<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Safety
Factors</a></h3>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>In neural networks used, =
output
signals of neurons are transformed by a sigmoid activation function that ha=
s a
range between 0 and 1. In order to approximate different ranges of values,
output of the neural network are scaled by an affine function that maps the
[-1, 1] interval to some other interval, say [<i>a, b</i>]. Only values wit=
hin
that interval are attainable by the neural network approximation. The quest=
ion
that arises is how to appropriately choose the interval. An obvious strategy
would be to choose a very large interval, large enough to include any value
that could be possibly expected to be generated by the approximated functio=
n on
the interval of interest. However, making this interval too large can reduce
the <span class=3DSpellE>approximative</span> capabilities of the neural ne=
twork
due to wasting large portions of the output interval that would never conta=
in
realistic values. The interval attainable by the outputs (and thus the mapp=
ing
function) should therefore be set such that there is some space beyond the
values ever expected to be attained by the original (approximated) function,
yet not too big. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>It is obvious that the in=
terval
should at least contain all the values generated by sampling, i.e. all func=
tion
values contained in the training data. However, since it is likely that some
function values on the sampled interval exceed the interval that contains a=
ll
sampled values, some extension of the interval should be provided beyond th=
at,
and this is what we call the safety factor. User can vary the output safety
factor from 1 upwards by inserting the factor into the text field next to t=
he
&#8220;<i>Output Safety Factor</i>&#8221; label. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>As far as inputs are conc=
erned,
any input form minus to plus infinity can be fed to the neural network to
produce the appropriate output. Inputs are transformed by the sigmoid funct=
ion
before they are sent to the neurons in the next layer. However, since the s=
lope
of the transforming function approaches zero far from 0, it is numerically
desirable that most of the inputs that will be fed to the network fall on t=
he
interval [-1, 1].<span style=3D'mso-spacerun:yes'>&nbsp; </span>Input value=
s are
therefore also scaled in a similar way as outputs, and the mapping function=
 is
specified in such a way that all inputs from the training data are mapped c=
lose
to the interval [-1, 1] before they are fed to the neural network. The input
safety factor defines how much smaller from the reference [-1, 1] interval =
is
the interval to which all inputs from the training data fall when scaled be=
fore
being fed to the network.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821086"></a><a name=3D"_Ref349803946"><span style=3D'mso-boo=
kmark:
_Toc349821086'><![if !supportLists]><span style=3D'mso-list:Ignore'>2.2.4<s=
pan
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Checking
Results</span></a></h3>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>When the training procedu=
re is
completed (after clicking the &#8220;Generate Data&#8221; and then the
&#8220;Start&#8221; buttons), results are shown automatically. The original
function, its neural network approximation calculated by the training
procedure, and the training data on basis of which the model is calculated =
are
plotted on the graph located on the top-right portion of the form. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>On the graph below, insid=
e the
&#8220;<i>Approximation error</i>&#8221; box, the course of different error
measures during the training procedure can be <span class=3DGramE>shown,</s=
pan>
plotted against the number of epochs. By clicking on the appropriate radio
button you can choose which error measure is shown on the graph, while final
values for all error measures are written in the appropriate boxes.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h2 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level2 lfo1'><a
name=3D"_Toc349821087"><![if !supportLists]><span style=3D'mso-list:Ignore'=
>2.3<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span><![endif]>Functions
of 2 Variables with 3D Surface Plots</a></h2>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1028" type=3D"#_x0000_t75" st=
yle=3D'width:472.5pt;
 height:294.75pt' o:ole=3D"">
 <v:imagedata src=3D"help_files/image013.emz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D630 height=3D393
src=3D"help_files/image014.gif" v:shapes=3D"_x0000_i1028"><![endif]><!--[if=
 gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Word.Picture.8" ShapeID=3D"_x0000_i1=
028"
  DrawAspect=3D"Content" ObjectID=3D"_1423573357">
 </o:OLEObject>
</xml><![endif]--></span></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'><a name=3D"_Ref349776038">Fi=
gure </a><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref349776038'></span><span style=3D'mso-element:fiel=
d-begin'></span><span
style=3D'mso-bookmark:_Ref349776038'><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref349776038'><span style=3D'mso-no-proof:yes'>2</sp=
an></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref349776038'></span><span style=3D'mso-element:fiel=
d-end'></span><![endif]--><span
style=3D'mso-bookmark:_Ref349776038'></span>:<span style=3D'font-weight:nor=
mal'>
GUI for approximation of functions of two variables. <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Exploring 2D approximatio=
ns is
just as simple as exploring 2D approximations. You can start without any sp=
ecial
knowledge, just click on the &#8220;<i>2D Approximation</i>&#8221; tab in o=
rder
to display the appropriate panel (<!--[if supportFields]><span
style=3D'mso-element:field-begin'></span> REF _Ref349776038 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->Figure <span
style=3D'mso-no-proof:yes'>2</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003700370036003000330038000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->),
and then the &#8220;<i>Generate Data</i>&#8221; and then the &#8220;<i>Star=
t</i>&#8221;
button. <u>Before clicking on the &#8220;<i>Start</i>&#8221; button, you sh=
ould
wait until the graphic window showing the approximated function and sampled
data is displayed, and close the window.</u> Graphs are shown <span
class=3DGramE>in a separate windows</span> in order to allow better quality=
 and
interaction with 3D graphs. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>When the training procedu=
re
completes, the graph showing the result is open immediately in a new window.
You can interact with the graph (rotate it, zoom in or out, and translate i=
t)
in order to view interesting details from the best perspective, and you sho=
uld
close the graph before performing other actions. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821088"><![if !supportLists]><span style=3D'mso-list:Ignore'=
>2.3.1<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Defining
the Approximated Function and Training Data</a></h3>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>The function to be approx=
imated
is defined similarly as for 1D approximation (see Section <!--[if supportFi=
elds]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349776721 \n \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span lang=3DAR-SA
style=3D'font-size:10.0pt;mso-ansi-font-size:12.0pt'>&#8206;</span>2.2.1<!-=
-[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003700370036003700320031000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->).
In the case of user defined function, the expression defining the function =
can
contain two independent variables denoted by <i>x</i> and <i>y</i>,
respectively. Since there are two variables, four interval bounds must be
defined in the &#8220;<i>Limits</i>&#8221; box.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Everything is similar rat=
her
similar than in 1D <span class=3DGramE>approximation,</span> and some diffe=
rences
will be outlined below. Also the number of sampled values is defined by two
values instead of one. If you clear the &#8220;<i>Random Training Data</i>&=
#8221;
checkbox then values are sampled on a regular grid of points, where the text
field beside &#8220;<i>Samples on X axis</i>&#8221; defines number of point=
s on
the grid in x direction, and &#8220;<i>Samples on Y axis</i>&#8221; defines
number of points on the grid in the perpendicular (y) direction. If the
&#8220;Random Training Data&#8221; checkbox is checked then sampling points=
 are
generated randomly (with uniform distribution) and the two directions are n=
ot
distinguished what concerns the generated points. The total number of the
generated sampling points equals to the product of both numbers, but their
order is interchangeable. </p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821089"><![if !supportLists]><span style=3D'mso-list:Ignore'=
>2.3.2<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Network
Architecture and Training Parameters</a></h3>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Things related to the net=
work
architecture and parameters of the training algorithm are defined in the sa=
me
way as in the case of 1D approximation (see Section <!--[if supportFields]>=
<span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349777537 \n \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span lang=3DAR-SA
style=3D'font-size:10.0pt;mso-ansi-font-size:12.0pt'>&#8206;</span>2.2.2<!-=
-[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003700370037003500330037000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->).
</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Just take into account th=
at in
general, in the case of two independent variables, more degrees of freedom =
are
needed for the same quality of approximation as in 1D. This means that the
number of neurons in each hidden layer should usually be higher than in the=
 1D
case, but consequently also the number of sampling points should be higher.=
 To
be precise, this is a bit simplified and overly generalized statement since=
 the
optimal number of neurons varies from case to case and depends primarily on=
 the
complexity of the function to be approximated. However, on average over a l=
arge
range of functions, the statement is valid. </p>

<h3 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level3 lfo1'><a
name=3D"_Toc349821090"><![if !supportLists]><span style=3D'mso-list:Ignore'=
>2.3.3<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span><![=
endif]>Showing
Training Data and Results</a></h3>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:36.0=
pt'><i><span
style=3D'mso-bidi-font-size:12.0pt'><!--[if gte vml 1]><v:shape id=3D"_x000=
0_i1029"
 type=3D"#_x0000_t75" style=3D'width:288.75pt;height:273pt'>
 <v:imagedata src=3D"help_files/image009.jpg" o:title=3D"neurapp_title_smal=
l"/>
</v:shape><![endif]--><![if !vml]><img width=3D385 height=3D364
src=3D"help_files/image015.jpg" v:shapes=3D"_x0000_i1029"><![endif]></span>=
</i><span
style=3D'mso-bidi-font-size:12.0pt'><span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span><!--[if gte vml 1]><v:=
shape
 id=3D"_x0000_i1030" type=3D"#_x0000_t75" style=3D'width:110.25pt;height:13=
8pt'>
 <v:imagedata src=3D"help_files/image016.png" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D147 height=3D184
src=3D"help_files/image017.jpg" v:shapes=3D"_x0000_i1030"><![endif]></span>=
</p>

<p class=3DMsoCaption style=3D'margin-top:0cm'><a name=3D"_Ref349805353">Fi=
gure </a><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref349805353'></span><span style=3D'mso-element:fiel=
d-begin'></span><span
style=3D'mso-bookmark:_Ref349805353'><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref349805353'><span style=3D'mso-no-proof:yes'>3</sp=
an></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref349805353'></span><span style=3D'mso-element:fiel=
d-end'></span><![endif]--><span
style=3D'mso-bookmark:_Ref349805353'></span>:<span style=3D'font-weight:nor=
mal'> Results
of a 2 parametric approximation are shown as 3D graph. Right-hand side: win=
dow
that shows the original function sand training data. 3D graphics is rendere=
d by
the VTK graphical engine. <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Training data and the
approximated function are shown, after clicking on the &#8220;Generate
data&#8221;, in a separate interactive 3D window. In a similar way, the
resulting approximation is shown, together with the approximated function a=
nd
training data, after clicking the &#8220;Start&#8221; button (<!--[if suppo=
rtFields]><span
style=3D'mso-element:field-begin'></span> REF _Ref349805353 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->Figure <span
style=3D'mso-no-proof:yes'>3</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003800300035003300350033000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->).
You user can interact with 3D graphs by mouse and keyboard in order to adju=
st
the viewing angles, position and zoom as desired. Close the window after
viewing is done, since failing to do so may result in undesirable effects,
depending on the operating system. </p>

<h4 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level4 lfo1'><![i=
f !supportLists]><span
style=3D'mso-list:Ignore'>2.3.3.1<span style=3D'font:7.0pt "Times New Roman=
"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span><![endif]>Interaction with the 3D Graphic Windows</h4>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>You can interact with the=
 graphs
by using mouse and keyboards. Click on the window in order to make it active
and interact with it. The relevant commands are listed below:</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b>r</b> &#8211; <span class=3DGramE><u>r</u=
>esets</span>
the viewpoint along the viewing direction such that all graphic objects are=
 within
the viewing areal. This centers and scales the view appropriately. If the
graphics window opens and nothing is visible, press the <i>r</i> key because
objects may just be out of scope.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>j</b></span> / <b>t</=
b> &#8211;
toggles between <u>j</u>oystick or <u>t</u>rackball mode. In joystick mode,
motion occurs continuously as long as mouse button is pressed. In trackball
mode, motion occurs only during dragging (when the mouse button is pressed =
and
the mouse cursor moves). The trackball mode is more suitable for finely
adjusting the view.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>left</b></span><b> mo=
use button</b>
&#8211; rotates the camera (in the camera mode, switched on by pressing the=
 <i>c</i>
key) or graphic objects (in the actor mode, switched on by pressing <i>a</i=
>). The
camera is rotated around the focal point (which can be repositioned by pres=
sing
the <i>f</i> key over a graphic primitive). In trackball mode, you must pre=
ss
the button and move the mouse cursor, while in joystick mode pressing the
button is enough (switch between the two modes by pressing the <i>t</i> or =
the <i>j</i>
key).</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b>Ctrl + left mouse button</b> &#8211; rota=
tes
the camera (in camera mode, switched on by <span class=3DSpellE>presing</sp=
an>
the <i>c</i> key) or graphic objects (or actors, switched on by pressing <s=
pan
class=3DGramE>the <i>a</i></span> keys) around the axis perpendicular to the
projection plane.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b>Shift + left mouse button</b> &#8211; pans
the camera (moves it parallel to the projection plane) in camera mode or
translates the graphic objects (actors) in actor mode. Does the same as the
middle mouse button.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b>middle mouse button</b> &#8211; pans the
camera (moves it parallel to the projection plane) in camera mode (switched=
 on
by pressing the <i>c</i> key) or translates the graphic objects (actors) in
actor mode (the <i>a</i> key). In joystick mode, translation is from the ce=
nter
of viewport toward the mouse cursor position (toggled by pressing <i>j</i> =
for
joystick and <i>t</i> for trackball mode). Camera mode is switched on by
pressing the <i>c</i> key and actor mode by pressing <span class=3DGramE>th=
e <i>a</i></span>
key.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>right</b></span><b> m=
ouse
button</b> &#8211; zooms the camera (in camera mode, switched on by pressing
the <i>c</i> key) or the graphic objects (actors). In joystick mode (switch=
ed
on by pressing the <i>j</i> key) the direction of zoom depends on whether t=
he
mouse cursor is located in the top half of the window or viewport (zooms in=
) or
in the lower half (zooms out) while the zoom speed depends on the distance =
from
the horizontal centerline.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>mouse</b></span><b> w=
heel</b>
&#8211; zooms in or out, dependent on the direction of rotation.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol;mso-bidi-font-weight:bold'><span style=3D'mso-list:Ignore'>&middot;<=
span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;
</span></span></span><![endif]><b>f</b> &#8211; <span class=3DGramE><u>f</u=
>lies</span>
to the point under the mouse cursor, and sets the focal point on it (rotati=
ons
then occur around that point). This command works only when the mouse curso=
r is
located closely enough over a graphic primitive (auxiliary objects such as =
axes
do not count). It centers the graph <span class=3DGramE>around</span> the p=
oint
under the mouse cursor. If later on the graph is translated, the point of
rotation still remains on the same point until the next &#8221; fly to&#822=
1;
operation is performed.<b><o:p></o:p></b></p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>c</b></span> / <b>a</=
b> &#8211;
toggles between <u>c</u>amera and <u>a</u>ctor modes. In camera mode, user
interaction affects the camera position and focal point, while in actor mod=
e it
affects the object (&#8220;actor&#8221; in VTK terminology) under the mouse
pointer. Therefore in actor mode one can rotate and translate different obj=
ects
independently. This enables e.g. separation of different graphic objects. Y=
ou
can press <i>a</i>, then click on the graph of the original function with t=
he
middle mouse button and drag it away from other objects, then press <i>c</i>
and center the view around the graphs of the approximation and sampled poin=
ts
in order to view them together, without the original function.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b>p</b> &#8211; <span class=3DGramE>pick</s=
pan>
operation. This shows a wire frame around the object under the mouse cursor.
This may turn useful in rare occasions in order to see to which object the
graphic primitive under the cursor belongs, e.g. when separating objects in
actor mode.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>s</b></span> / <b>w</=
b> &#8211;
all objects become represented as surfaces / in wire frame. You will seldom
need this command.</p>

<p class=3Dsbullet3 style=3D'mso-list:l11 level1 lfo33'><![if !supportLists=
]><span
style=3D'font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-fa=
mily:
Symbol'><span style=3D'mso-list:Ignore'>&middot;<span style=3D'font:7.0pt "=
Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span class=3DGramE><b>e</b></span> / <b>q</=
b> &#8211;
exits / quits the graphic window. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>User interaction capabili=
ties can
be used to precisely position the view in order to make interesting details
appear more obvious, but also for achieving some special effect. <!--[if su=
pportFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349820886 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->Figure <span
style=3D'mso-no-proof:yes'>4</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003800320030003800380036000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->
demonstrates, for example, how actor mode (switched on by pressing the <i>a=
</i>
key and switched off by pressing the <i>c</i> key to go back to camera mode)
can be used to move the graph of the approximation apart from the graphs of=
 the
approximated function and sampled values used for training. This has been d=
one
in the following way. First the trackball mode was switched on by pressing =
<i>t</i>.
Then the graph was rotated (<i>left mouse button</i>, with holding the <i>C=
trl</i>
key for rotation in the projection plane), translated (<i>Shift + left mouse
button</i>) and zoomed (<i>right mouse button</i> or <i>mouse wheel</i>) in
order to achieve the appropriate view. Then, the actor mode was switched on=
 by
pressing the <i>a</i> key, and the approximation (the colored surface) was
moved away from the original location to the right by pressing and holding =
the <i>Shift</i>
key and pressing the <i>left mouse button</i> and moving the mouse to the
right. Finally, the <i>c</i> key was pressed in order to get back to the ca=
mera
mode and finely tune the whole graph by translation of the camera. Since
objects were not zoomed while in the actor mode and since rotations were not
performed since entering the actor mode, one can see the realistic ratios
between the original function (blue wireframe) and its approximation (color=
ed
surface) and it is obvious that the approximation has lesser total span tha=
n the
original.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>In the camera mode (switc=
hed on
by pressing the <i>c</i> key), all graphic objects stand still and the came=
ra
rotates and translates around. In the actor mode (switched on by pressing <=
span
class=3DGramE>the <i>a</i></span> key), camera remains still and the select=
ed
graphic object (which may consist of many graphic primitives, such as the w=
hole
surface in the above described case) moves and rotates (thus it can also ch=
ange
position with respect to other objects).</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><!--[if gte vml 1]><v:sha=
pe id=3D"_x0000_i1031"
 type=3D"#_x0000_t75" style=3D'width:403.5pt;height:309.75pt'>
 <v:imagedata src=3D"help_files/image018.png" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D538 height=3D413
src=3D"help_files/image019.jpg" v:shapes=3D"_x0000_i1031"><![endif]></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'><a name=3D"_Ref349820886">Fi=
gure </a><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref349820886'></span><span style=3D'mso-element:fiel=
d-begin'></span><span
style=3D'mso-bookmark:_Ref349820886'><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref349820886'><span style=3D'mso-no-proof:yes'>4</sp=
an></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref349820886'></span><span style=3D'mso-element:fiel=
d-end'></span><![endif]--><span
style=3D'mso-bookmark:_Ref349820886'></span>:<span style=3D'font-weight:nor=
mal'>
Separation of the graph of the original function and sampling points (left-=
hand
side) and approximation (right-hand side) by using the actor mode. Case is =
the
same as shown in </span><!--[if supportFields]><span style=3D'font-weight:n=
ormal'><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349805353 \h <span
style=3D'mso-spacerun:yes'>&nbsp;</span>\* MERGEFORMAT <span style=3D'mso-e=
lement:
field-separator'></span></span><![endif]--><span style=3D'font-weight:norma=
l'>Figure
<span style=3D'mso-no-proof:yes'>3</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003800300035003300350033000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'font-weight:=
normal'><span
style=3D'mso-element:field-end'></span></span><![endif]--><span style=3D'fo=
nt-weight:
normal'>. <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt;tab-stops:292.4pt'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp; </span></p>

<h4 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level4 lfo1'><![i=
f !supportLists]><span
style=3D'mso-list:Ignore'>2.3.3.2<span style=3D'font:7.0pt "Times New Roman=
"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span><![endif]>Showing Convergence Path</h4>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>This is equivalent as in =
1D case (Section
<!--[if supportFields]><span style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349803946 \n \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span lang=3DAR-SA
style=3D'font-size:10.0pt;mso-ansi-font-size:12.0pt'>&#8206;</span>2.2.4<!-=
-[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003800300033003900340036000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->).
Final values of different error measures are shown in the &#8220;<i>Approxi=
mation
error</i>&#8221; box and course of the selected error measure is shown on t=
he
graph on the right of error values. Radio buttons are used to select the er=
ror
measure to be shown on the graph.</p>

<h2 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level2 lfo1'><a
name=3D"_Toc349821091"></a><a name=3D"_Toc349256594"><span style=3D'mso-boo=
kmark:
_Toc349821091'><![if !supportLists]><span style=3D'mso-list:Ignore'>2.4<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span><![endif]>Accessing
Help and Web Pages</span></a></h2>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1032" type=3D"#_x0000_t75" st=
yle=3D'width:472.5pt;
 height:294.75pt' o:ole=3D"">
 <v:imagedata src=3D"help_files/image020.emz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D630 height=3D393
src=3D"help_files/image021.gif" v:shapes=3D"_x0000_i1032"><![endif]><!--[if=
 gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Word.Picture.8" ShapeID=3D"_x0000_i1=
032"
  DrawAspect=3D"Content" ObjectID=3D"_1423573359">
 </o:OLEObject>
</xml><![endif]--></span></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>5</span><!--[if supportFields]><span style=3D'mso-element:field-end'><=
/span><![endif]-->:<span
style=3D'font-weight:normal'> Accessing help and other information. <o:p></=
o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<h1 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level1 lfo1'><a
name=3D"_Toc349821092"></a><a name=3D"_Toc349256595"><span style=3D'mso-boo=
kmark:
_Toc349821092'><![if !supportLists]><span style=3D'font-variant:normal !imp=
ortant;
text-transform:uppercase'><span style=3D'mso-list:Ignore'>3<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-variant:normal !importan=
t;
text-transform:uppercase'>Screenshots</span></span></a><span style=3D'font-=
variant:
normal !important;text-transform:uppercase'><o:p></o:p></span></h1>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1033" type=3D"#_x0000_t75" st=
yle=3D'width:438.75pt;
 height:273pt' o:ole=3D"">
 <v:imagedata src=3D"help_files/image013.emz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D585 height=3D364
src=3D"help_files/image022.gif" v:shapes=3D"_x0000_i1033"><![endif]><!--[if=
 gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Word.Picture.8" ShapeID=3D"_x0000_i1=
033"
  DrawAspect=3D"Content" ObjectID=3D"_1423573360">
 </o:OLEObject>
</xml><![endif]--></span></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>6</span><!--[if supportFields]><span style=3D'mso-element:field-end'><=
/span><![endif]-->:<span
style=3D'font-weight:normal'> </span><!--[if supportFields]><span
style=3D'font-weight:normal'><span style=3D'mso-element:field-begin'></span=
><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF softwarename \h <span
style=3D'mso-spacerun:yes'>&nbsp;</span>\* MERGEFORMAT <span style=3D'mso-e=
lement:
field-separator'></span></span><![endif]--><span style=3D'font-weight:norma=
l'><span
class=3DSpellE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'font-weight:=
normal'><span
style=3D'mso-element:field-end'></span></span><![endif]--><span style=3D'fo=
nt-weight:
normal'> has a very intuitive user interface. All you have to remember is to
press the &#8220;Generate Data&#8221; and then the &#8220;Start&#8221; butt=
on.
Other things are for changing parameters of the training procedure, bounds =
for
the training data, and the function to be approximated.<o:p></o:p></span></=
p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1034" type=3D"#_x0000_t75" st=
yle=3D'width:202.5pt;
 height:140.25pt' o:ole=3D"">
 <v:imagedata src=3D"help_files/image023.emz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D270 height=3D187
src=3D"help_files/image024.gif" v:shapes=3D"_x0000_i1034"><![endif]><!--[if=
 gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Word.Picture.8" ShapeID=3D"_x0000_i1=
034"
  DrawAspect=3D"Content" ObjectID=3D"_1423573361">
 </o:OLEObject>
</xml><![endif]--></span></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>7</span><!--[if supportFields]><span style=3D'mso-element:field-end'><=
/span><![endif]-->:<span
style=3D'font-weight:normal;mso-bidi-font-weight:bold'> After generation of=
 data,
you can immediately see the graph of the original function and data that wi=
ll
be used for training.</span><span style=3D'font-weight:normal'><o:p></o:p><=
/span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><span lang=3DSL style=3D'=
mso-ansi-language:
SL'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1035" type=3D"#_x0000_t75" st=
yle=3D'width:399pt;
 height:238.5pt' o:ole=3D"">
 <v:imagedata src=3D"help_files/image025.emz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D532 height=3D318
src=3D"help_files/image026.gif" v:shapes=3D"_x0000_i1035"><![endif]><!--[if=
 gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Word.Picture.8" ShapeID=3D"_x0000_i1=
035"
  DrawAspect=3D"Content" ObjectID=3D"_1423573362">
 </o:OLEObject>
</xml><![endif]--></span></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>8</span><!--[if supportFields]><span style=3D'mso-element:field-end'><=
/span><![endif]-->:<span
style=3D'font-weight:normal;mso-bidi-font-weight:bold'> After pressing the
&#8220;Start&#8221; button, training of the neural network begins, and the
result is shown immediately after training is complete. It is easy to compa=
re
the generated ANN model with the original function. Smaller graph shows how
error was reduced during the training procedure, making possible to correct
some parameters such as tolerances and maximal number of epochs if results =
are
not as expected.</span><span style=3D'font-weight:normal'><o:p></o:p></span=
></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><!--[if gte vml 1]><v:sha=
pe id=3D"_x0000_i1036"
 type=3D"#_x0000_t75" style=3D'width:481.5pt;height:387pt'>
 <v:imagedata src=3D"help_files/image027.png" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D642 height=3D516
src=3D"help_files/image028.jpg" v:shapes=3D"_x0000_i1036"><![endif]></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>9</span><!--[if supportFields]><span style=3D'mso-element:field-end'><=
/span><![endif]-->:<span
style=3D'font-weight:normal;mso-bidi-font-weight:bold'> Example 3D plot of =
the
original function of 2 variables and the generated training data on the sur=
face
of the function graph.</span><span style=3D'font-weight:normal'><o:p></o:p>=
</span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><!--[if gte vml 1]><v:sha=
pe id=3D"_x0000_i1037"
 type=3D"#_x0000_t75" style=3D'width:336pt;height:342.75pt'>
 <v:imagedata src=3D"help_files/image029.png" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D448 height=3D457
src=3D"help_files/image030.jpg" v:shapes=3D"_x0000_i1037"><![endif]></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>10</span><!--[if supportFields]><span style=3D'mso-element:field-end'>=
</span><![endif]-->:<span
style=3D'font-weight:normal;mso-bidi-font-weight:bold'> After training of t=
he
neural network is complete, a surface plot of the approximated function is
shown together with the original function and with the generated training d=
ata.
Error magnitude is shown in color scale.</span><span style=3D'font-weight:n=
ormal'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><!--[if gte vml 1]><v:sha=
pe id=3D"_x0000_i1038"
 type=3D"#_x0000_t75" style=3D'width:438pt;height:394.5pt'>
 <v:imagedata src=3D"help_files/image031.png" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D584 height=3D526
src=3D"help_files/image032.jpg" v:shapes=3D"_x0000_i1038"><![endif]></p>

<p class=3DMsoCaption style=3D'margin-top:0cm'>Figure <!--[if supportFields=
]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>SEQ Figure \* ARABIC <span
style=3D'mso-element:field-separator'></span><![endif]--><span style=3D'mso=
-no-proof:
yes'>11</span><!--[if supportFields]><span style=3D'mso-element:field-end'>=
</span><![endif]-->:<span
style=3D'font-weight:normal;mso-bidi-font-weight:bold'> One can interactive=
ly
adjust the viewing angle and zoom in order to inspect properties of the
approximation in detail.</span><span style=3D'font-weight:normal'><o:p></o:=
p></span></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt;tab-stops:224.85pt'><o:p>&=
nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt;tab-stops:224.85pt'><o:p>&=
nbsp;</o:p></p>

<h1 style=3D'margin-left:0cm;text-indent:0cm;mso-list:l10 level1 lfo1'><a
name=3D"_Toc349821093"></a><a name=3D"_Toc349256596"><span style=3D'mso-boo=
kmark:
_Toc349821093'><![if !supportLists]><span style=3D'font-variant:normal !imp=
ortant;
text-transform:uppercase'><span style=3D'mso-list:Ignore'>4<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;
</span></span></span><![endif]><span style=3D'font-variant:normal !importan=
t;
text-transform:uppercase'>About the Software</span></span></a><span
style=3D'font-variant:normal !important;text-transform:uppercase'><o:p></o:=
p></span></h1>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Software was developed by=
 Igor <span
class=3DSpellE>Gre&#353;ovnik</span> and <span class=3DSpellE>Tadej</span> =
<span
class=3DSpellE>Kodelja</span> as an easy to use and intuitive tool for expl=
oring
features of approximation by the artificial neural networks (ANN). Authors =
have
developed the software while working on ANN-based model of process paramete=
rs
in material production in the Centre of Excellence for Biosensors,
Instrumentation and Process Control (<a
href=3D"http://www.cobik.si/index?lang=3Deng">COBIK</a>). In the scope of h=
is work
at COBIK, <span class=3DSpellE>Tadej</span> <span class=3DSpellE>Kodelja</s=
pan> was
also working on his Ph.D. thesis under supervision of Prof. <span class=3DS=
pellE>Bo&#382;idar</span>
<span class=3DSpellE>&#352;arler</span> and Igor <span class=3DSpellE>Gre&#=
353;ovnik</span>.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>The software is based on =
the <i>Investigative
Generic Library</i> (<span class=3DSpellE><i>IGLib</i></span>), a framework
library for development of technical applications. The library itself is ba=
sed
on the .NET framework and relies on a number of third party libraries. It h=
as
been used by several commercial software projects as well as in research
projects. Among the others, it serves as code base for the software for
industrial ANN-based modeling, which is developed by the authors of <!--[if=
 supportFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF softwarename \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span class=3DSpel=
lE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->.
This is <span class=3DGramE>a complex</span> software used as support to ta=
ckle
most challenging ANN modeling problems in industry. It requires some expert=
ise
and skills to use that software, but with the benefit of a powerful and
flexible problem solving tool. The software is used internally for performi=
ng
research and providing services to industry, but authors are open for all k=
inds
of collaboration where the software can be utilized.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Motivation for developmen=
t of the
software came partially from authors&#8217; personal needs, since authors
wanted to gain better insight in features and function of the ANN-based
approximations, gained from practical experience and on fast and intuitive =
way.
Therefore they devised a software where one can conceive arbitrary function=
s of
one and two variables, input these functions through a graphical user inter=
face
and set them as the reference functions for ANN-based models, sample functi=
on
values on a regular grid or in randomly distributed values, train the neura=
l network
to obtain an approximate model, and inspect properties of the obtained mode=
l by
observing various statistics and by visual comparison of the model and the
original reference function. In this way, it is easy to develop an intuitive
feeling for the capabilities and limitations of the ANN-based modeling. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Additional motivation was=
 in creating
a tool that could be easily utilized to demonstrate some features of the
artificial neural networks to our colleagues. Often people have wrong
expectations about the ANN-based modeling. Many times they heavily overesti=
mate
the capabilities of the neural network modeling, considering this tool as a
kind of Panacea, an almighty remedy for all problems. It is sometimes diffi=
cult
to explain that ANNs are just an ordinary (though very strong in some aspec=
ts)
utility for black box modeling. As such, it crucially depends on the
availability and quality of data, thus being susceptible to many kinds of d=
ata
deficiency and absolutely adherent to the &#8220;garbage in, garbage out&#8=
221;
principle. By a tool such as <!--[if supportFields]><span style=3D'mso-elem=
ent:
field-begin'></span><span style=3D'mso-spacerun:yes'>&nbsp;</span>REF
softwarename \h <span style=3D'mso-element:field-separator'></span><![endif=
]--><span
class=3DSpellE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->,
it is easier to plastically demonstrate how ANN-based modeling works.</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

</div>

<span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Time=
s New Roman","serif";
mso-fareast-font-family:"Times New Roman";mso-ansi-language:EN-US;mso-farea=
st-language:
EN-US;mso-bidi-language:AR-SA;layout-grid-mode:line'><br clear=3Dall
style=3D'page-break-before:auto;mso-break-type:section-break'>
</span>

<div class=3DWordSection4>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Time=
s New Roman","serif";
mso-fareast-font-family:"Times New Roman";mso-ansi-language:EN-US;mso-farea=
st-language:
EN-US;mso-bidi-language:AR-SA;layout-grid-mode:line'><br clear=3Dall
style=3D'mso-special-character:line-break;page-break-before:always'>
</span>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><a name=3Dreferences></a>=
<a
name=3D"_Hlt96670121"></a><span style=3D'mso-bookmark:references'><b
style=3D'mso-bidi-font-weight:normal'><i style=3D'mso-bidi-font-style:norma=
l'><span
style=3D'font-size:14.0pt;mso-bidi-font-size:10.0pt'>Some References</span>=
</i></b></span><b
style=3D'mso-bidi-font-weight:normal'><i style=3D'mso-bidi-font-style:norma=
l'><span
style=3D'font-size:14.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></i>=
</b></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>Below there is a collecti=
on of
selected references and links that are in some way related to the <!--[if s=
upportFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF softwarename \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span class=3DSpel=
lE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->
software. They are mainly related to the authors&#8217; past work that brou=
ght
to the situation where <!--[if supportFields]><span style=3D'mso-element:fi=
eld-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF softwarename \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span class=3DSpel=
lE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->
was created. References <!--[if supportFields]><span style=3D'mso-element:f=
ield-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref342050823 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>1</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340032003000350030003800320033000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]
- <!--[if supportFields]><span style=3D'mso-element:field-begin'></span><sp=
an
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref342050851 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>3</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340032003000350030003800350031000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]
are some papers published within the scope of our work at <span class=3DGra=
mE>the
.</span> <!--[if supportFields]><span style=3D'mso-element:field-begin'></s=
pan><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref343474114 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>4</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340033003400370034003100310034000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]
- <!--[if supportFields]><span style=3D'mso-element:field-begin'></span><sp=
an
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349458151 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>9</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003400350038003100350031000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]
are references related to optimization shell <i>Inverse</i>, which is a com=
plex
industrial &amp; research optimization software written in C that preceded =
the <span
class=3DSpellE><i>IGLib</i></span> library, and where many concepts and ide=
as
used in the <span class=3DSpellE><i>IGLib</i></span> library (a framework l=
ibrary
for development of technical applications reference developed by Igor <span
class=3DSpellE>Gre</span><span lang=3DSL style=3D'mso-ansi-language:SL'>&#3=
53;ovnik,
reference</span><span lang=3DSL> </span><!--[if supportFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref342050944 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>10</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340032003000350030003900340034000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->])
come from. Aforge.Net (reference <!--[if supportFields]><span style=3D'mso-=
element:
field-begin'></span><span style=3D'mso-spacerun:yes'>&nbsp;</span>REF
_Ref340767727 \h <span style=3D'mso-element:field-separator'></span><![endi=
f]-->[<span
style=3D'mso-no-proof:yes'>11</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340030003700360037003700320037000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->])
is a library that is used as neural networks computation engine in <!--[if =
supportFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF softwarename \h <span
style=3D'mso-element:field-separator'></span><![endif]--><span class=3DSpel=
lE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->.
</p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>References <!--[if suppor=
tFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349458686 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>12</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003400350038003600380036000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]
and <!--[if supportFields]><span style=3D'mso-element:field-begin'></span><=
span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF _Ref349458689 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>13</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340039003400350038003600380039000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]
are links to the institution <span style=3D'mso-bidi-font-size:14.0pt'>Cent=
re of
Excellence for biosensors, instrumentation and process control </span>(COBI=
K)
and the laboratory where the authors currently work. Within COBIK, authors =
are
developing methodologies for application of artificial neural networks to
modeling of industrial processes. The problem solving software developed in=
 the
scope of this work is based on the <span class=3DSpellE>IGLib</span> (<!--[=
if supportFields]><span
style=3D'mso-element:field-begin'></span> REF _Ref342050944 \h <span
style=3D'mso-element:field-separator'></span><![endif]-->[<span style=3D'ms=
o-no-proof:
yes'>10</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200=
650066003300340032003000350030003900340034000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->]).
This is also the case with <!--[if supportFields]><span style=3D'mso-elemen=
t:
field-begin'></span><span style=3D'mso-spacerun:yes'>&nbsp;</span>REF
softwarename \h <span style=3D'mso-element:field-separator'></span><![endif=
]--><span
class=3DSpellE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000D00000073006F00=
6600740077006100720065006E0061006D0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]-->,
which is just a side product of the above work initially developed as a sim=
ple
tool for authors&#8217; training in basic features of ANN-based approximati=
on. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'>The more professional sof=
tware
used for actual research &amp; industrial work is quite complex and require=
s a
high level of expertise from the user, and it is interpreter - centered rat=
her
than a GUI - based. It is used internally for performing research tasks and=
 to
offer services to industry, with interfaces to a number of partner software=
 and
with some specialized interfaces for users in partner institutions. This
software is designed to be highly flexible and quickly adaptable to new
problems and customer requirements. It does not <span class=3DGramE>targete=
d</span>
any specific range of tasks, but is a good base for a wide range of special=
ized
modules or applications for specific and well defined tasks. The software is
not available for purchase, but authors will welcome any suggestion for
collaboration on research, development or industrial projects or request for
development of software needed, where they can provide reliable and
professional service. </p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><a name=3D"_Ref78865871"></a><a
name=3D"_Ref472079565"></a><a name=3D"_Ref343779729"></a><a name=3D"_Ref342=
050823"></a><a
name=3D"_Hlt81754371"></a><span style=3D'mso-bookmark:_Ref78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref343779=
729'><span
style=3D'mso-bookmark:_Ref342050823'>[</span></span></span></span><!--[if s=
upportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref343779729'><span style=3D'mso-bookmark:_Ref342050=
823'></span></span></span></span><span
style=3D'mso-element:field-begin'></span><span style=3D'mso-bookmark:_Ref78=
865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref343779=
729'><span
style=3D'mso-bookmark:_Ref342050823'> SEQ [ \* ARABIC <span style=3D'mso-el=
ement:
field-separator'></span></span></span></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref343779729'><span style=3D'mso-bookmark:_Ref342050=
823'><span
style=3D'mso-no-proof:yes'>1</span></span></span></span></span><!--[if supp=
ortFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref343779729'><span style=3D'mso-bookmark:_Ref342050=
823'></span></span></span></span><span
style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-bookm=
ark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso=
-bookmark:
_Ref343779729'><span style=3D'mso-bookmark:_Ref342050823'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref343779729'><span class=3DSpellE><span style=3D'ms=
o-bidi-font-size:
12.0pt'>Gre&#353;ovnik</span></span></span></span></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref343779729'><span style=3D'mso-bidi-font-size:12.0=
pt'>, <st1:place
w:st=3D"on">I.</st1:place>; <span class=3DSpellE>Kodelja</span>, T.; <span
class=3DSpellE>Vertnik</span>, R.; <span class=3DSpellE>&#352;arler</span>,=
 B.
(2012): A software Framework for Optimization Parameters in Material
Production. Applied Mechanics and <span class=3DSpellE>Materialds</span>, v=
ol.
101-102, pp. 838-841. <span class=3DGramE>Trans Tech Publications, <st1:pla=
ce
w:st=3D"on"><st1:country-region w:st=3D"on">Switzerland</st1:country-region=
></st1:place>.</span></span></span></span></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bidi-font-size:12.0pt'><o:p></o:p></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
78865871'><span
style=3D'mso-bookmark:_Ref472079565'><a name=3D"_Ref341342485">[</a></span>=
</span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref341342485'></span></span></span><span style=3D'ms=
o-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref341342=
485'>
SEQ [ \* ARABIC <span style=3D'mso-element:field-separator'></span></span><=
/span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref341342485'><span style=3D'mso-no-proof:yes'>2</sp=
an></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref341342485'></span></span></span><span style=3D'ms=
o-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref78865871'><sp=
an
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref341342=
485'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
class=3DSpellE><span style=3D'mso-bidi-font-size:12.0pt'>Gre&#353;ovnik</sp=
an></span></span></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bidi-font-size:12.0pt'>, <st1:place w:st=3D"on">I.</st1:place>=
; <span
class=3DSpellE>Kodelja</span>, T.; <span class=3DSpellE>Vertnik</span>, R.;=
 <span
class=3DSpellE>&#352;arler</span>, B. (2012): </span>Application of artific=
ial
neural networks to improve steel production process. <span class=3DSpellE><=
span
class=3DGramE>Bruzzone</span></span><span class=3DGramE>, A. G.; <span
class=3DSpellE>Hamza</span>, M. H. Proceedings of the 15th International
Conference on Artificial Intelligence and Soft Computing, <st1:place w:st=
=3D"on"><st1:City
 w:st=3D"on">Napoli</st1:City>, <st1:country-region w:st=3D"on">Italy</st1:=
country-region></st1:place>,
pp. 249-255.</span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
78865871'><span
style=3D'mso-bookmark:_Ref472079565'><a name=3D"_Ref340647856"></a><a
name=3D"_Ref342050851"><span style=3D'mso-bookmark:_Ref340647856'>[</span><=
/a></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref342050851'><span style=3D'mso-bookmark:_Ref340647=
856'></span></span></span></span><span
style=3D'mso-element:field-begin'></span><span style=3D'mso-bookmark:_Ref78=
865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref342050=
851'><span
style=3D'mso-bookmark:_Ref340647856'> SEQ [ \* ARABIC <span style=3D'mso-el=
ement:
field-separator'></span></span></span></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref342050851'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-no-proof:yes'>3</span></span></span></span></span><!--[if supp=
ortFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref342050851'><span style=3D'mso-bookmark:_Ref340647=
856'></span></span></span></span><span
style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-bookm=
ark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso=
-bookmark:
_Ref342050851'><span style=3D'mso-bookmark:_Ref340647856'></span></span><sp=
an
style=3D'mso-bookmark:_Ref340647856'>]<span style=3D'mso-tab-count:1'>&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
class=3DSpellE>Gre&#353;ovnik</span>, <st1:place w:st=3D"on">I.</st1:place>=
; <span
class=3DSpellE>Kodelja</span>, T.; <span class=3DSpellE>Vertnik</span>, R.;=
 <span
class=3DSpellE>Sen&#269;i&#269;</span>. B.; <span class=3DSpellE>Kova&#269;=
i&#269;</span>,
M.; <span class=3DSpellE>&#352;arler</span>, B. (2012): Application of arti=
ficial
neural networks in design of steel production path. Computers, Materials and
Continua, vol. 30, pp. 19-38.</span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'><a
name=3D"_Ref343474114">[</a></span></span></span><!--[if supportFields]><sp=
an
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref343474=
114'></span></span></span></span><span
style=3D'mso-element:field-begin'></span><span style=3D'mso-bookmark:_Ref78=
865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref343474114'> SEQ [ \* ARABIC <span style=3D'mso-el=
ement:
field-separator'></span></span></span></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref343474=
114'><span
style=3D'mso-no-proof:yes'>4</span></span></span></span></span><!--[if supp=
ortFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref343474=
114'></span></span></span></span><span
style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-bookm=
ark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso=
-bookmark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref343474114'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
class=3DSpellE>Gresovnik</span>, I. (2000): A General Purpose Computational=
 Shell
for Solving Inverse and <span class=3DSpellE>Optimisation</span> Problems -
Applications to Metal Forming Processes, Ph. D. thesis, University of Wales
Swansea, U.K.</span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'>[</span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'></span></span></span><span style=3D'ms=
o-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'>
SEQ [ \* ARABIC <span style=3D'mso-element:field-separator'></span></span><=
/span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-no-proof:yes'>5</sp=
an></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'></span></span></span><span style=3D'ms=
o-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref78865871'><sp=
an
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span class=3DSpellE><span style=3D'ms=
o-fareast-font-family:
KaiTi_GB2312'>Gre&#353;ovnik</span></span></span></span></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-fareast-font-family=
:KaiTi_GB2312'>,
<st1:place w:st=3D"on">I.</st1:place> (2012): Optimization shell Inverse, <=
/span></span></span></span><a
href=3D"http://www2.arnes.si/~ljc3m2/inverse/"><span style=3D'mso-bookmark:=
_Ref78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>http://www2.arnes.si/~ljc3m2=
/inverse/</span></span></span></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'></span></span></span></a><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-fareast-font-family=
:KaiTi_GB2312'>.</span></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'><a
name=3D"_Ref342050943">[</a></span></span></span><!--[if supportFields]><sp=
an
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref342050=
943'></span></span></span></span><span
style=3D'mso-element:field-begin'></span><span style=3D'mso-bookmark:_Ref78=
865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref342050943'> SEQ [ \* ARABIC <span style=3D'mso-el=
ement:
field-separator'></span></span></span></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref342050=
943'><span
style=3D'mso-no-proof:yes'>6</span></span></span></span></span><!--[if supp=
ortFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref342050=
943'></span></span></span></span><span
style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-bookm=
ark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso=
-bookmark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref342050943'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an></span><a
name=3D"_Ref295434474"><span style=3D'mso-bookmark:_Ref340647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></span></a><span
class=3DSpellE><span style=3D'mso-bookmark:_Ref295434474'><span style=3D'ms=
o-bookmark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'ms=
o-bookmark:
_Ref78865871'><span style=3D'mso-fareast-font-family:KaiTi_GB2312'>Gre&#353=
;ovnik</span></span></span></span></span></span><span
style=3D'mso-bookmark:_Ref295434474'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>, <st1:place w:st=3D"on">I.<=
/st1:place>
(2012): <span class=3DSpellE>IoptLib</span> User Manual. </span>Available a=
t:</span></span></span></span><span
style=3D'mso-bookmark:_Ref295434474'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'> </span></span></span></span=
></span><a
href=3D"http://www2.arnes.si/~ljc3m2/igor/ioptlib/doc/optlib.pdf"><span
style=3D'mso-bookmark:_Ref295434474'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>http://www2.arnes.si/~ljc3m2=
/igor/ioptlib/doc/optlib.pdf</span></span></span></span></span><span
style=3D'mso-bookmark:_Ref295434474'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></span></span></a><span
style=3D'mso-bookmark:_Ref295434474'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>.</span></span></span></span=
></span><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
340647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'>[</span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'></span></span></span><span style=3D'mso=
-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref340647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'> SEQ
[ \* ARABIC <span style=3D'mso-element:field-separator'></span></span></spa=
n></span><![endif]--><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-no-proof:yes'>7</spa=
n></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'></span></span></span><span style=3D'mso=
-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref340647856'><s=
pan
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an></span><a
name=3D"_Ref295434476"><span style=3D'mso-bookmark:_Ref78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'></span></span></span></a><span
class=3DSpellE><span style=3D'mso-bookmark:_Ref295434476'><span style=3D'ms=
o-bookmark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso=
-bookmark:
_Ref340647856'><span style=3D'mso-fareast-font-family:KaiTi_GB2312'>Gre&#35=
3;ovnik</span></span></span></span></span></span><span
style=3D'mso-bookmark:_Ref295434476'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>, <st1:place w:st=3D"on">I.<=
/st1:place>
(2007): The use of moving least squares for a smooth approximation of sampl=
ed data.
Journal of Mechanical Engineering, vol. 9, pp. 582-598.</span></span></span=
></span></span><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'>[</span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'></span></span></span><span style=3D'ms=
o-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref78865871'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'>
SEQ [ \* ARABIC <span style=3D'mso-element:field-separator'></span></span><=
/span></span><![endif]--><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-no-proof:yes'>8</sp=
an></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref4720795=
65'><span
style=3D'mso-bookmark:_Ref340647856'></span></span></span><span style=3D'ms=
o-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref78865871'><sp=
an
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref340647=
856'>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an></span><a
name=3D"_Ref295434555"><span style=3D'mso-bookmark:_Ref340647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></span></a><span
class=3DSpellE><span style=3D'mso-bookmark:_Ref295434555'><span style=3D'ms=
o-bookmark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'ms=
o-bookmark:
_Ref78865871'><span style=3D'mso-fareast-font-family:KaiTi_GB2312'>Gre&#353=
;ovnik</span></span></span></span></span></span><span
style=3D'mso-bookmark:_Ref295434555'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>, <st1:place w:st=3D"on">I.<=
/st1:place>
(2009): Simplex Algorithms for Nonlinear Constrained Optimization Problems,
technical report. Available at: </span></span></span></span></span><a
href=3D"http://www2.arnes.si/~ljc3m2/igor/doc/rep/optalgsimplex.pdf"><span
style=3D'mso-bookmark:_Ref295434555'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>http://www2.arnes.si/~ljc3m2=
/igor/doc/rep/optalgsimplex.pdf</span></span></span></span></span><span
style=3D'mso-bookmark:_Ref295434555'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></span></span></a><span
style=3D'mso-bookmark:_Ref295434555'><span style=3D'mso-bookmark:_Ref340647=
856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-fareast-font-family:KaiTi_GB2312'>.</span></span></span></span=
></span><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
340647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><a
name=3D"_Ref349458151">[</a></span></span></span><!--[if supportFields]><sp=
an
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494581=
51'></span></span></span></span><span
style=3D'mso-element:field-begin'></span><span style=3D'mso-bookmark:_Ref34=
0647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458151'> SEQ [ \* ARABIC <span style=3D'mso-el=
ement:
field-separator'></span></span></span></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494581=
51'><span
style=3D'mso-no-proof:yes'>9</span></span></span></span></span><!--[if supp=
ortFields]><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494581=
51'></span></span></span></span><span
style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-bookm=
ark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'ms=
o-bookmark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref349458151'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></sp=
an></span><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span class=3DSpellE><span style=3D'mso=
-fareast-font-family:
KaiTi_GB2312'>Gre&#353;ovnik</span></span></span></span></span><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-fareast-font-family:=
KaiTi_GB2312'>,
<st1:place w:st=3D"on">I.</st1:place> (2012): </span><span class=3DSpellE>I=
OptLib</span>
&#8211; library for solving inverse and optimization problems. Available at=
: </span></span></span><a
href=3D"http://www2.arnes.si/~ljc3m2/igor/ioptlib/"><span style=3D'mso-book=
mark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'ms=
o-bookmark:
_Ref78865871'>http://www2.arnes.si/~ljc3m2/igor/ioptlib/</span></span></spa=
n><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'></span></span></span></a><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'> </span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
340647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><a
name=3D"_Ref342050944">[</a></span></span></span><!--[if supportFields]><sp=
an
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3420509=
44'></span></span></span></span><span
style=3D'mso-element:field-begin'></span><span style=3D'mso-bookmark:_Ref34=
0647856'><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref342050944'> SEQ [ \* ARABIC <span style=3D'mso-el=
ement:
field-separator'></span></span></span></span></span><![endif]--><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3420509=
44'><span
style=3D'mso-no-proof:yes'>10</span></span></span></span></span><!--[if sup=
portFields]><span
style=3D'mso-bookmark:_Ref340647856'><span style=3D'mso-bookmark:_Ref472079=
565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3420509=
44'></span></span></span></span><span
style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-bookm=
ark:
_Ref340647856'><span style=3D'mso-bookmark:_Ref472079565'><span style=3D'ms=
o-bookmark:
_Ref78865871'><span style=3D'mso-bookmark:_Ref342050944'></span></span></sp=
an></span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp; </span><span class=3DSpellE>Gr=
e&#353;ovnik</span>,
<st1:place w:st=3D"on">I.</st1:place> (2012): IGLib.net - investigative gen=
eric
library. Available at: </span></span><a
href=3D"http://www2.arnes.si/~ljc3m2/igor/iglib/"><span style=3D'mso-bookma=
rk:_Ref472079565'><span
style=3D'mso-bookmark:_Ref78865871'>http://www2.arnes.si/~ljc3m2/igor/iglib=
/</span></span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></a><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'>. </span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
472079565'><span
style=3D'mso-bookmark:_Ref78865871'><a name=3D"_Ref340767727">[</a></span><=
/span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref340767727'></span></span></span><span style=3D'ms=
o-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref472079565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3407677=
27'> SEQ
[ \* ARABIC <span style=3D'mso-element:field-separator'></span></span></spa=
n></span><![endif]--><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref340767727'><span style=3D'mso-no-proof:yes'>11</s=
pan></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref340767727'></span></span></span><span style=3D'ms=
o-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref472079565'><s=
pan
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3407677=
27'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp; </span></span></span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bidi-font-size:14.0pt'>Aforge.Net. (2012): Artificial intellig=
ence
library. Available at: </span></span></span><a href=3D"http://www.aforgenet=
.com/"><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bidi-font-size:14.0pt'>http://www.aforgenet.com/</span></span>=
</span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></a><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bidi-font-size:14.0pt'>.<o:p></o:p></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt'><span style=3D'mso-bookmark:_Ref=
472079565'><span
style=3D'mso-bookmark:_Ref78865871'><a name=3D"_Ref349458686">[</a></span><=
/span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458686'></span></span></span><span style=3D'ms=
o-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref472079565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494586=
86'> SEQ
[ \* ARABIC <span style=3D'mso-element:field-separator'></span></span></spa=
n></span><![endif]--><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458686'><span style=3D'mso-no-proof:yes'>12</s=
pan></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458686'></span></span></span><span style=3D'ms=
o-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref472079565'><s=
pan
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494586=
86'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp; </span></span></span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bidi-font-size:14.0pt'>Centre of Excellence for biosensors,
instrumentation and process control (COBIK) </span></span></span><a
href=3D"http://www.cobik.si/index?lang=3Deng"><span style=3D'mso-bookmark:_=
Ref472079565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bidi-font-size:14.0p=
t'>http://www.cobik.si/index?lang=3Deng</span></span></span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></a><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bidi-font-size:14.0pt'>.<o:p></o:p></span></span></span></p>

<p class=3Dlit style=3D'tab-stops:49.65pt 217.35pt'><span style=3D'mso-book=
mark:_Ref472079565'><span
style=3D'mso-bookmark:_Ref78865871'><a name=3D"_Ref349458689">[</a></span><=
/span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458689'></span></span></span><span style=3D'ms=
o-element:
field-begin'></span><span style=3D'mso-bookmark:_Ref472079565'><span
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494586=
89'> SEQ
[ \* ARABIC <span style=3D'mso-element:field-separator'></span></span></spa=
n></span><![endif]--><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458689'><span style=3D'mso-no-proof:yes'>13</s=
pan></span></span></span><!--[if supportFields]><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'><span
style=3D'mso-bookmark:_Ref349458689'></span></span></span><span style=3D'ms=
o-element:
field-end'></span><![endif]--><span style=3D'mso-bookmark:_Ref472079565'><s=
pan
style=3D'mso-bookmark:_Ref78865871'><span style=3D'mso-bookmark:_Ref3494586=
89'></span>]<span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp; </span><span style=3D'mso-tab-=
count:
1'> </span>Laboratory for Advanced Materials Systems, COBIK: </span></span>=
<a
href=3D"http://www.cobik.si/laboratoriji/laboratorij-za-sisteme-z-naprednim=
i-materiali?lang=3Deng"><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'>http://www.cobik.si/laboratoriji/laboratorij-za-sisteme-z-naprednimi-ma=
teriali?lang=3Deng</span></span><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></a><span
style=3D'mso-bookmark:_Ref472079565'><span style=3D'mso-bookmark:_Ref788658=
71'></span></span></p>

<span style=3D'mso-bookmark:_Ref78865871'></span><span style=3D'mso-bookmar=
k:_Ref472079565'></span>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-indent:36.0pt'><o:p>&nbsp;</o:p></p>

</div>

</body>

</html>

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r'><![if !supportFootnotes]>

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<div style=3D'mso-element:footnote-continuation-separator' id=3Dfcs>

<p class=3DMsoNormal><span style=3D'mso-special-character:footnote-continua=
tion-separator'><![if !supportFootnotes]>

<hr align=3Dleft size=3D1>

<![endif]></span></p>

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<div style=3D'mso-element:endnote-separator' id=3Des>

<p class=3DMsoNormal><span style=3D'mso-special-character:footnote-separato=
r'><![if !supportFootnotes]>

<hr align=3Dleft size=3D1 width=3D"33%">

<![endif]></span></p>

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<div style=3D'mso-element:endnote-continuation-separator' id=3Decs>

<p class=3DMsoNormal><span style=3D'mso-special-character:footnote-continua=
tion-separator'><![if !supportFootnotes]>

<hr align=3Dleft size=3D1>

<![endif]></span></p>

</div>

<div style=3D'mso-element:header' id=3Deh1>

<div style=3D'mso-element:frame;mso-element-wrap:around;mso-element-anchor-=
vertical:
paragraph;mso-element-anchor-horizontal:margin;mso-element-left:center;
mso-element-top:.05pt;mso-height-rule:exactly'>

<table cellspacing=3D0 cellpadding=3D0 hspace=3D0 vspace=3D0 align=3Dcenter>
 <tr>
  <td valign=3Dtop align=3Dleft style=3D'padding-top:0cm;padding-right:0cm;
  padding-bottom:0cm;padding-left:0cm'>
  <p class=3DMsoHeader style=3D'tab-stops:right 404.0pt;mso-element:frame;
  mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element=
-anchor-horizontal:
  margin;mso-element-left:center;mso-element-top:.05pt;mso-height-rule:exac=
tly'><span
  style=3D'font-size:3.0pt;mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></sp=
an></p>
  <p class=3DMsoHeader style=3D'tab-stops:right 404.0pt;mso-element:frame;
  mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element=
-anchor-horizontal:
  margin;mso-element-left:center;mso-element-top:.05pt;mso-height-rule:exac=
tly'><span
  style=3D'font-size:3.0pt;mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></sp=
an></p>
  <p class=3DMsoHeader align=3Dleft style=3D'margin-right:-.05pt;text-align=
:left;
  tab-stops:right 17.0cm;mso-element:frame;mso-element-wrap:around;mso-elem=
ent-anchor-vertical:
  paragraph;mso-element-anchor-horizontal:margin;mso-element-left:center;
  mso-element-top:.05pt;mso-height-rule:exactly'><!--[if supportFields]><sp=
an
  style=3D'mso-element:field-begin'></span><span
  style=3D'mso-spacerun:yes'>&nbsp;</span>STYLEREF &quot;Heading 1&quot;\n<=
span
  style=3D'mso-spacerun:yes'>&nbsp; </span>\* MERGEFORMAT <span style=3D'ms=
o-element:
  field-separator'></span><![endif]--><span lang=3DAR-SA style=3D'font-size=
:10.0pt;
  mso-ansi-font-size:12.0pt;mso-no-proof:yes'>&#8206;</span><span
  style=3D'mso-no-proof:yes'>1</span><!--[if supportFields]><span
  style=3D'mso-element:field-end'></span><![endif]-->. <!--[if supportField=
s]><span
  style=3D'mso-element:field-begin'></span><span
  style=3D'mso-spacerun:yes'>&nbsp;</span>STYLEREF &quot;Heading 1&quot; \*=
 MERGEFORMAT
  <span style=3D'mso-element:field-separator'></span><![endif]--><span
  style=3D'mso-no-proof:yes'>Introduction</span><!--[if supportFields]><span
  style=3D'mso-element:field-end'></span><![endif]--><span style=3D'mso-tab=
-count:
  1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><!--[if sup=
portFields]><span
  style=3D'mso-element:field-begin'></span> STYLEREF &quot;Heading 2&quot;\=
n<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>\* MERGEFORMAT <span style=3D'ms=
o-element:
  field-separator'></span><![endif]--><span lang=3DAR-SA style=3D'font-size=
:10.0pt;
  mso-ansi-font-size:12.0pt;mso-no-proof:yes'>&#8206;</span><span
  style=3D'mso-no-proof:yes'>2.1</span><!--[if supportFields]><span
  style=3D'mso-element:field-end'></span><![endif]-->. <!--[if supportField=
s]><span
  style=3D'mso-element:field-begin'></span><span
  style=3D'mso-spacerun:yes'>&nbsp;</span>STYLEREF &quot;Heading 2&quot; \*
  MERGEFORMAT <span style=3D'mso-element:field-separator'></span><![endif]-=
-><span
  style=3D'mso-no-proof:yes'>Installation and Use</span><!--[if supportFiel=
ds]><span
  style=3D'mso-element:field-end'></span><![endif]--></p>
  <div style=3D'mso-element:para-border-div;border:none;border-bottom:solid=
 windowtext 2.25pt;
  padding:0cm 0cm 1.0pt 0cm'>
  <p class=3DMsoHeader style=3D'tab-stops:36.0pt;border:none;mso-border-bot=
tom-alt:
  solid windowtext 2.25pt;padding:0cm;mso-padding-alt:0cm 0cm 1.0pt 0cm;
  mso-element:frame;mso-element-wrap:around;mso-element-anchor-vertical:par=
agraph;
  mso-element-anchor-horizontal:margin;mso-element-left:center;mso-element-=
top:
  .05pt;mso-height-rule:exactly'><span style=3D'font-size:3.0pt;mso-bidi-fo=
nt-size:
  10.0pt'><o:p>&nbsp;</o:p></span></p>
  </div>
  <p class=3DMsoHeader style=3D'tab-stops:36.0pt;mso-element:frame;mso-elem=
ent-wrap:
  around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizonta=
l:
  margin;mso-element-left:center;mso-element-top:.05pt;mso-height-rule:exac=
tly'><span
  style=3D'font-size:6.0pt;mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></sp=
an></p>
  </td>
 </tr>
</table>

</div>

<p class=3DMsoHeader><o:p>&nbsp;</o:p></p>

</div>

<div style=3D'mso-element:header' id=3Dh1>

<p class=3DMsoHeader style=3D'tab-stops:right 404.0pt'><span style=3D'font-=
size:3.0pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoHeader style=3D'tab-stops:right 404.0pt'><span style=3D'font-=
size:3.0pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoHeader align=3Dleft style=3D'margin-right:-.05pt;text-align:l=
eft;
tab-stops:right 474.9pt'><!--[if supportFields]><span style=3D'mso-bidi-fon=
t-size:
12.0pt'><span style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF authors \h <span
style=3D'mso-spacerun:yes'>&nbsp;</span>\* MERGEFORMAT <span style=3D'mso-e=
lement:
field-separator'></span></span><![endif]--><span style=3D'mso-bidi-font-siz=
e:
12.0pt'>Igor <span class=3DSpellE>Gre&#353;ovnik</span></span><span lang=3D=
SL
style=3D'mso-bidi-font-size:12.0pt;mso-ansi-language:SL'> &amp; Tadej</span=
><span
lang=3DSL style=3D'font-size:14.0pt;mso-ansi-language:SL'> Kodelja</span><s=
pan
style=3D'mso-bidi-font-size:12.0pt'><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000800000061007500=
740068006F00720073000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'mso-bidi-fon=
t-size:
12.0pt'><span style=3D'mso-element:field-end'></span></span><![endif]--><sp=
an
style=3D'mso-bidi-font-size:12.0pt'>: </span><!--[if supportFields]><span
style=3D'mso-bidi-font-size:12.0pt'><span style=3D'mso-element:field-begin'=
></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF maintitle \h <span
style=3D'mso-spacerun:yes'>&nbsp;</span>\* MERGEFORMAT <span style=3D'mso-e=
lement:
field-separator'></span></span><![endif]--><span style=3D'mso-bidi-font-siz=
e:
12.0pt'><span class=3DSpellE>NeurApp</span><!--[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000A0000006D006100=
69006E007400690074006C0065000000</w:data>
</xml><![endif]--></span><!--[if supportFields]><span style=3D'mso-bidi-fon=
t-size:
12.0pt'><span style=3D'mso-element:field-end'></span></span><![endif]--><sp=
an
style=3D'mso-bidi-font-size:12.0pt'><o:p></o:p></span></p>

<div style=3D'mso-element:para-border-div;border:none;border-bottom:solid w=
indowtext 2.25pt;
padding:0cm 0cm 1.0pt 0cm'>

<p class=3DMsoHeader style=3D'tab-stops:36.0pt;border:none;mso-border-botto=
m-alt:
solid windowtext 2.25pt;padding:0cm;mso-padding-alt:0cm 0cm 1.0pt 0cm'><span
style=3D'font-size:3.0pt;mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span=
></p>

</div>

<p class=3DMsoHeader style=3D'tab-stops:36.0pt'><o:p>&nbsp;</o:p></p>

</div>

<div style=3D'mso-element:footer' id=3Def1>

<div style=3D'mso-element:frame;mso-element-wrap:around;mso-element-anchor-=
vertical:
paragraph;mso-element-anchor-horizontal:margin;mso-element-left:center;
mso-element-top:.05pt;mso-height-rule:exactly'>

<table cellspacing=3D0 cellpadding=3D0 hspace=3D0 vspace=3D0 align=3Dcenter>
 <tr>
  <td valign=3Dtop align=3Dleft style=3D'padding-top:0cm;padding-right:0cm;
  padding-bottom:0cm;padding-left:0cm'>
  <p class=3DMsoFooter style=3D'mso-element:frame;mso-element-wrap:around;
  mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:margi=
n;
  mso-element-left:center;mso-element-top:.05pt;mso-height-rule:exactly'><!=
--[if supportFields]><span
  class=3DMsoPageNumber><span style=3D'mso-element:field-begin'></span>PAGE=
<span
  style=3D'mso-spacerun:yes'>&nbsp; </span><span style=3D'mso-element:field=
-separator'></span></span><![endif]--><span
  class=3DMsoPageNumber><span style=3D'mso-no-proof:yes'>2</span></span><!-=
-[if supportFields]><span
  class=3DMsoPageNumber><span style=3D'mso-element:field-end'></span></span=
><![endif]--><span
  class=3DMsoPageNumber><o:p></o:p></span></p>
  </td>
 </tr>
</table>

</div>

<p class=3DMsoFooter style=3D'margin-right:18.0pt'><o:p>&nbsp;</o:p></p>

</div>

<div style=3D'mso-element:footer' id=3Df1>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

<div style=3D'mso-element:para-border-div;border:none;border-top:solid wind=
owtext 1.5pt;
padding:1.0pt 0cm 0cm 0cm'>

<p class=3DMsoFooter style=3D'border:none;mso-border-top-alt:solid windowte=
xt 1.5pt;
padding:0cm;mso-padding-alt:1.0pt 0cm 0cm 0cm'><span style=3D'font-size:3.0=
pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

</div>

<p class=3DMsoFooter align=3Dcenter style=3D'text-align:center'><!--[if sup=
portFields]><span
class=3DMsoPageNumber><span style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>PAGE <span style=3D'mso-element:fie=
ld-separator'></span></span><![endif]--><span
class=3DMsoPageNumber>i</span><!--[if supportFields]><span class=3DMsoPageN=
umber><span
style=3D'mso-element:field-end'></span></span><![endif]--></p>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

</div>

<div style=3D'mso-element:header' id=3Dfh1>

<p class=3DMsoHeader style=3D'tab-stops:right 404.0pt'><span style=3D'font-=
size:3.0pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoHeader style=3D'tab-stops:right 404.0pt'><span style=3D'font-=
size:3.0pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoHeader align=3Dleft style=3D'margin-right:-.05pt;text-align:l=
eft;
tab-stops:right 411.1pt'><!--[if supportFields]><span style=3D'mso-element:=
field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>REF maintitle \h <span style=3D'mso=
-element:
field-separator'></span><![endif]--><span class=3DSpellE>NeurApp</span><!--=
[if gte mso 9]><xml>
 <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000A0000006D006100=
69006E007400690074006C0065000000</w:data>
</xml><![endif]--><!--[if supportFields]><span style=3D'mso-element:field-e=
nd'></span><![endif]--></p>

<div style=3D'mso-element:para-border-div;border:none;border-bottom:solid w=
indowtext 2.25pt;
padding:0cm 0cm 1.0pt 0cm'>

<p class=3DMsoHeader style=3D'tab-stops:36.0pt;border:none;mso-border-botto=
m-alt:
solid windowtext 2.25pt;padding:0cm;mso-padding-alt:0cm 0cm 1.0pt 0cm'><span
style=3D'font-size:3.0pt;mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span=
></p>

</div>

<p class=3DMsoHeader style=3D'tab-stops:36.0pt'><span style=3D'font-size:6.=
0pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoHeader style=3D'tab-stops:36.0pt'><o:p>&nbsp;</o:p></p>

</div>

<div style=3D'mso-element:footer' id=3Dff1>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

<div style=3D'mso-element:para-border-div;border:none;border-top:solid wind=
owtext 1.5pt;
padding:1.0pt 0cm 0cm 0cm'>

<p class=3DMsoFooter style=3D'border:none;mso-border-top-alt:solid windowte=
xt 1.5pt;
padding:0cm;mso-padding-alt:1.0pt 0cm 0cm 0cm'><span style=3D'font-size:3.0=
pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

</div>

<p class=3DMsoFooter align=3Dcenter style=3D'text-align:center'><!--[if sup=
portFields]><span
style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>PAGE<span style=3D'mso-spacerun:yes=
'>&nbsp;
</span>\* MERGEFORMAT <span style=3D'mso-element:field-separator'></span><!=
[endif]--><span
style=3D'mso-no-proof:yes'>1</span><!--[if supportFields]><span style=3D'ms=
o-element:
field-end'></span><![endif]--></p>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

</div>

<div style=3D'mso-element:footer' id=3Df2>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

<div style=3D'mso-element:para-border-div;border:none;border-top:solid wind=
owtext 1.5pt;
padding:1.0pt 0cm 0cm 0cm'>

<p class=3DMsoFooter style=3D'border:none;mso-border-top-alt:solid windowte=
xt 1.5pt;
padding:0cm;mso-padding-alt:1.0pt 0cm 0cm 0cm'><span style=3D'font-size:3.0=
pt;
mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span></p>

</div>

<p class=3DMsoFooter align=3Dcenter style=3D'text-align:center'><!--[if sup=
portFields]><span
class=3DMsoPageNumber><span style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>PAGE <span style=3D'mso-element:fie=
ld-separator'></span></span><![endif]--><span
class=3DMsoPageNumber><span style=3D'mso-no-proof:yes'>ii</span></span><!--=
[if supportFields]><span
class=3DMsoPageNumber><span style=3D'mso-element:field-end'></span></span><=
![endif]--></p>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoFooter><span style=3D'font-size:3.0pt;mso-bidi-font-size:10.0=
pt'><o:p>&nbsp;</o:p></span></p>

</div>

<div style=3D'mso-element:header' id=3Dh3>

<p class=3DMsoHeader style=3D'tab-stops:right 404.0pt 432.0pt'><span
style=3D'font-size:3.0pt;mso-bidi-font-size:10.0pt'><o:p>&nbsp;</o:p></span=
></p>

<p class=3DMsoHeader align=3Dleft style=3D'margin-right:-.05pt;text-align:l=
eft;
tab-stops:right 474.9pt'><!--[if supportFields]><span style=3D'mso-bidi-fon=
t-size:
12.0pt'><span style=3D'mso-element:field-begin'></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>STYLEREF &quot;Heading 1&quot;\n<sp=
an
style=3D'mso-spacerun:yes'>&nbsp; </span>\* MERGEFORMAT <span style=3D'mso-=
element:
field-separator'></span></span><![endif]--><span style=3D'mso-bidi-font-siz=
e:
12.0pt'><span style=3D'mso-no-proof:yes'>4</span></span><!--[if supportFiel=
ds]><span
style=3D'mso-bidi-font-size:12.0pt'><span style=3D'mso-element:field-end'><=
/span></span><![endif]--><span
style=3D'mso-bidi-font-size:12.0pt'>. </span><!--[if supportFields]><span
style=3D'mso-bidi-font-size:12.0pt'><span style=3D'mso-element:field-begin'=
></span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>STYLEREF &quot;Heading 1&quot; \*
MERGEFORMAT <span style=3D'mso-element:field-separator'></span></span><![en=
dif]--><span
style=3D'mso-bidi-font-size:12.0pt'><span style=3D'mso-no-proof:yes'>About =
the
Software</span></span><!--[if supportFields]><span style=3D'mso-bidi-font-s=
ize:
12.0pt'><span style=3D'mso-element:field-end'></span></span><![endif]--><sp=
an
style=3D'mso-bidi-font-size:12.0pt'><span style=3D'mso-spacerun:yes'>&nbsp;=
 </span><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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------=_NextPart_01CE15CE.E49F3B50
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------=_NextPart_01CE15CE.E49F3B50--
