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</ml:provenance> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>50</ml:real> </result> </ml:eval> </math> <rendering item-idref="6"> <element-image-map> <box left="1.5" top="0.75" width="14.25" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="89" left="36" top="108.75" width="242.25" height="13.5" align-x="36" align-y="120" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">и установим диапазоны изменения индексов</f> </p> </text> </region> <region region-id="90" left="306" top="108.75" width="54.75" height="15.75" align-x="319.5" align-y="120" show-border="false" 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version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">84edddacea5aecb061dd7e49f47678cf</contentHash> <ml:define warning="WarnRedefinedBIUnit"> <ml:id xml:space="preserve">m</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N2</ml:id> </ml:range> </ml:define> </ml:provenance> </math> <rendering item-idref="8"> <element-image-map> <box left="1.5" top="0.75" width="56.25" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="93" left="36" top="144.75" width="310.5" height="13.5" align-x="36" align-y="156" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">В качестве параметра анимации выберем константу С1:</f> </p> </text> </region> <region region-id="94" left="378" top="136.5" width="75.75" height="33.75" align-x="400.5" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">5580ea4f8b2d41c94d46991ee46bccb5</contentHash> <ml:define> <ml:id xml:space="preserve">C1</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">FRAME</ml:id> <ml:real>10</ml:real> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="9"> <element-image-map> <box left="1.5" top="0.75" width="74.25" height="32.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="97" left="36" top="174.75" width="210" height="13.5" align-x="36" align-y="186" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Перейдем к дискретным переменным:</f> </p> </text> </region> <region region-id="96" left="270" top="174" width="72" height="18" align-x="288.75" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d346d55921bdb855355a5cb8d032ba65</contentHash> <ml:define> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="10"> <element-image-map> <box left="1.5" top="0.75" width="70.5" height="16.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="116" left="372" top="174.75" width="75.75" height="17.25" align-x="393.75" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">1273893b714cd9ae74693146d4d63d62</contentHash> <ml:define> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:real>-1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="11"> <element-image-map> <box left="1.5" top="0.75" width="74.25" height="15.75" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="110" left="36" top="198" width="444.75" height="30.75" align-x="36" align-y="210" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Одна из которых </f> <f family="Arial Cyr" charset="204" size="12"> <i>x</i> </f> <f family="Arial Cyr" charset="204" size="12"> <sub>n</sub> </f> <f family="Arial Cyr" charset="204" size="12"> соответствует оси абсцисс, а другая </f> <f family="Arial Cyr" charset="204" size="12"> <i>y</i> </f> <f family="Arial Cyr" charset="204" size="12"> <sub>m </sub> </f> <f family="Arial Cyr" charset="204" size="12">(здесь не участвует в построении графиков)</f> <f family="Arial Cyr" charset="204" size="12"> - оси ординат.</f> </p> </text> </region> <region region-id="112" left="36" top="240.75" width="473.25" height="46.5" align-x="36" align-y="252" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Кроме этого введем сложный индекс V</f> <f family="Arial Cyr" charset="204" size="12"> <sub>n</sub> </f> <f family="Arial Cyr" charset="204" size="12"> элементов массива матриц Y1 и Y2, который</f> </p> <p 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">позволяет </f> <f family="Arial Cyr" charset="204" size="12">задать дискретные направляющую цилиндрической поверхности и </f> <f family="Arial Cyr" charset="204" size="12">аппли- кату</f> <f family="Arial Cyr" charset="204" size="12"> cos(x</f> <f family="Arial Cyr" charset="204" size="12"> <sub>n</sub> </f> <f family="Arial Cyr" charset="204" size="12">) образующей, перпендикулярной к направляющей. </f> </p> </text> </region> <region region-id="106" left="54" top="303" width="148.5" height="35.25" align-x="72.75" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="a0dacfc4-4545-4d8d-b153-69087aae9308" version-id="416fbb14-7da9-4510-a6b1-c51461e09c37" branch-id="00000000-0000-0000-0000-000000000000" revision-num="13" is-modified="true" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\изд-во\ЧислМетРешЗадДиффузии\ДопУпражн\УпрК_стр7.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">789ffc1b389d8c4db4be2bd4b1684ee3</contentHash> <ml:define> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">C1</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="12"> <element-image-map> <box left="1.5" top="0.75" width="147" height="33.75" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="105" left="240" top="312.75" width="201.75" height="13.5" align-x="240" align-y="324" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Теперь запишем элементы матрицы:</f> </p> </text> </region> <region region-id="66" left="66" top="354.75" width="92.25" height="22.5" align-x="110.25" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y1</ml:id> <ml:sequence> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="67" left="276" top="354.75" width="167.25" height="17.25" align-x="318" align-y="366" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">Y2</ml:id> <ml:sequence> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:notEqual/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> <ml:real>-1</ml:real> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="107" left="42" top="390.75" width="411" height="13.5" align-x="42" align-y="402" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">и построим поверхности, отличающиеся друг от друга только константой -1.</f> </p> </text> </region> <region region-id="68" left="24" top="438" width="229.5" height="252" align-x="138" align-y="438" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="62e334b8-fdda-4b2b-9bb4-48def95f2af1" item-idref="15" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math20">Y1</ml:id> </inputs> <outputs/> </component> <rendering item-idref="16"/> </region> <region region-id="118" left="276" top="438" width="232.5" height="246" align-x="391.5" align-y="438" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="62e334b8-fdda-4b2b-9bb4-48def95f2af1" item-idref="17" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math20">Y2</ml:id> </inputs> <outputs/> </component> <rendering item-idref="18"/> </region> <region region-id="165" left="60" top="714.75" width="445.5" height="43.5" align-x="60" align-y="726" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Построим поверхности трех взаимно перпендикулярных цилиндров, имеющих</f> </p> <p 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">зависимости: x</f> <f family="Arial Cyr" charset="204" size="12"> <sup>2</sup> </f> <f family="Arial Cyr" charset="204" size="12">+y</f> <f family="Arial Cyr" charset="204" size="12"> <sup>2</sup> </f> <f family="Arial Cyr" charset="204" size="12">=1, z</f> <f family="Arial Cyr" charset="204" size="12"> <sup>2</sup> </f> <f family="Arial Cyr" charset="204" size="12">+y</f> <f family="Arial Cyr" charset="204" size="12"> <sup>2</sup> </f> <f family="Arial Cyr" charset="204" size="12">=1, </f> <f family="Arial Cyr" charset="204" size="12">x</f> <f family="Arial Cyr" charset="204" size="12"> <sup>2</sup> </f> <f family="Arial Cyr" charset="204" size="12">+z</f> <f family="Arial Cyr" charset="204" size="12"> <sup>2</sup> </f> <f family="Arial Cyr" charset="204" size="12">=1. Поверхности, как дискретные, записыва-</f> </p> <p 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">ются в матрицы соответственно B и S, Н, А.</f> </p> </text> </region> <region region-id="176" left="60" top="768.75" width="164.25" height="13.5" align-x="60" align-y="780" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Зададим число точек отсчета:</f> </p> </text> </region> <region region-id="175" left="240" top="768.75" width="39" height="15.75" align-x="256.5" align-y="780" 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">U</ml:id> <ml:real>80</ml:real> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="178" left="300" top="768.75" width="144.75" height="13.5" align-x="300" align-y="780" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Выберем дискретный шаг:</f> </p> </text> </region> <region region-id="177" left="462" top="768.75" width="45.75" height="15.75" align-x="476.25" align-y="780" 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">q</ml:id> <ml:real>0.05</ml:real> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="182" left="60" top="798.75" width="244.5" height="13.5" align-x="60" align-y="810" 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">Число точек отсчета в диаметре окружности:</f> </p> </text> </region> <region region-id="184" left="324" top="790.5" width="72" height="33.75" align-x="341.25" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:real>2</ml:real> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="185" left="420" top="798.75" width="44.25" height="15.75" align-x="436.5" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>40</ml:real> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="187" left="60" top="828.75" width="225" height="13.5" align-x="60" align-y="840" 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="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Зададим диапазоны изменения индексов</f> </p> </text> </region> <region region-id="188" left="306" top="828.75" width="49.5" height="15.75" align-x="320.25" align-y="840" 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">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="189" left="378" top="828.75" width="48" height="15.75" align-x="391.5" align-y="840" 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">u</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">U</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="197" left="60" top="852.75" width="243" height="13.5" align-x="60" align-y="864" 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">Запишем дискретные значения переменных:</f> </p> </text> </region> <region region-id="196" left="318" top="852.75" width="71.25" height="17.25" align-x="336.75" align-y="864" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:real>-1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">q</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="195" left="408" top="852.75" width="70.5" height="17.25" align-x="426.75" align-y="864" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">u</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:real>-1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">q</ml:id> <ml:id xml:space="preserve">u</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="205" left="60" top="876" width="365.25" height="14.25" align-x="60" align-y="888" 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">Запишем матрицы полуцилиндров с осями 0</f> <f family="Arial Cyr" charset="204" size="12"> <i>y</i> </f> <f family="Arial Cyr" charset="204" size="12"> и 0</f> <f family="Arial Cyr" charset="204" size="12"> <i>x</i> </f> <f family="Arial Cyr" charset="204" size="12"> соответственно:</f> </p> </text> </region> <region region-id="210" left="84" top="905.25" width="114" height="24.75" align-x="133.5" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:sequence> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>20</ml:real> </ml:apply> <ml:id xml:space="preserve">u</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="215" left="234" top="905.25" width="114" height="24.75" align-x="283.5" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:id xml:space="preserve">u</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>20</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="213" left="60" top="942" width="432" height="28.5" align-x="60" align-y="954" 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">Запишем матрицы полуцилиндров с осью 0</f> <f family="Arial Cyr" charset="204" size="12"> <i>z. </i> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal">Для чего определим соответству-</inlineAttr> </f> </p> <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"> <inlineAttr font-style="normal">ющие им индексы</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <i> <sp/> </i> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal">таким образом</inlineAttr> </f> </p> </text> </region> <region region-id="216" left="60" top="985.5" width="117" height="42.75" align-x="77.25" align-y="1014" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="217" left="210" top="985.5" width="124.5" height="42.75" align-x="228" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="218" left="60" top="1038.75" width="358.5" height="13.5" align-x="60" align-y="1050" 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">Длину полуцилиндров зададим как любую константу, например, 2: </f> </p> </text> </region> <region region-id="219" left="66" top="1062.75" width="84.75" height="22.5" align-x="134.25" align-y="1074" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>20</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:real>40</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="220" left="240" top="1062.75" width="84.75" height="22.5" align-x="308.25" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:sequence> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>20</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> 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