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style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12"> <b>Простые примеры построения равнозначных алгоритмов</b> </f> </p> </text> </region> <region region-id="24" left="24" top="48.75" width="74.25" height="13.5" align-x="24" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Алгоритм №1</f> </p> </text> </region> <region region-id="23" left="378" top="48.75" width="74.25" height="13.5" align-x="378" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text 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width="74.25" height="13.5" align-x="72" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Алгоритм №3</f> </p> </text> </region> <region region-id="44" left="354" top="288.75" width="74.25" height="13.5" align-x="354" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Алгоритм №4</f> </p> </text> </region> <region region-id="137" left="294" 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hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">E3</ml:id> </ml:apply> <ml:symResult> <ml:matrix rows="1" cols="2"> <ml:real>4</ml:real> <ml:real>5</ml:real> </ml:matrix> </ml:symResult> </ml:symEval> </math> <rendering item-idref="8"/> </region> <region region-id="140" left="324" top="576.75" width="99" height="21.75" align-x="351.75" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">E4</ml:id> </ml:apply> <ml:symResult> <ml:matrix rows="1" cols="4"> <ml:real>4</ml:real> <ml:real>5</ml:real> <ml:real>6</ml:real> <ml:real>7</ml:real> </ml:matrix> </ml:symResult> </ml:symEval> </math> <rendering item-idref="9"/> </region> <region region-id="55" left="36" top="606.75" width="451.5" height="27" align-x="36" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Все эти алгоритмы № 1-4 дают один и тот же результат и, в этом смысле, являются </f> <f family="Arial Cyr" charset="204" size="12">равнозначными. </f> </p> </text> </region> <region region-id="118" left="42" top="696.75" width="414.75" height="13.5" align-x="42" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Приведём равнозначные схемы алгоритмов Y<sp count="2"/>и Y1 (u=1..0 - так работает?):</f> </p> </text> </region> <region region-id="104" left="48" top="726.75" width="30.75" height="15.75" align-x="62.25" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">p</ml:id> <ml:real>3</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="103" left="102" top="726.75" width="33" height="15.75" align-x="118.5" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id 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<ml:id xml:space="preserve">s</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:sequence> </ml:apply> <ml:real>4</ml:real> </ml:apply> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:localDefine> </ml:ifThen> </ml:program> </ml:for> <ml:break/> <ml:id xml:space="preserve">y</ml:id> </ml:program> </ml:for> <ml:id xml:space="preserve">y</ml:id> </ml:program> </ml:ifThen> </ml:program> </ml:for> <ml:id xml:space="preserve">y</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="132" left="66" top="1581.75" width="90" height="57.75" align-x="88.5" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y1</ml:id> <ml:symResult> <ml:matrix rows="3" cols="3"> <ml:real>2</ml:real> <ml:real>3</ml:real> <ml:real>3</ml:real> <ml:real>6</ml:real> <ml:real>9</ml:real> <ml:real>9</ml:real> <ml:real>12</ml:real> <ml:real>18</ml:real> <ml:real>18</ml:real> </ml:matrix> </ml:symResult> </ml:symEval> </math> <rendering item-idref="17"/> </region> <region region-id="86" left="42" top="1740.75" width="312.75" height="13.5" align-x="42" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Приведём примеры алгоритмов с опцией "пока или while"</f> </p> </text> </region> <region region-id="142" left="96" top="1771.5" width="195.75" height="201" align-x="156" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">Newton</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">ps</ml:id> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">r</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">x</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">rnew</ml:id> <ml:apply> <ml:plus/> 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</ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:while> <ml:id xml:space="preserve">rnew</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="155" left="54" top="1990.5" width="128.25" height="33.75" align-x="114.75" align-y="2010" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">Newton</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:symResult> <ml:apply> <ml:div/> <ml:real>708158977</ml:real> <ml:real>408855776</ml:real> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="19"/> </region> <region region-id="154" left="216" top="1998.75" width="102.75" height="15.75" align-x="276" align-y="2010" show-border="false" show-highlight="false" 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