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</ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="22"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="591" left="116.25" top="258.75" width="48.75" height="33.75" align-x="145.5" align-y="278.25" 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:real>1</ml:real> <ml:id xml:space="preserve">r</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12"> . Выведем их значения на экран:</f> </p> </text> </region> <region region-id="592" left="18" top="306.75" width="159.75" height="15.75" align-x="31.5" align-y="318" 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">b</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="7"> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>1.5</ml:real> <ml:real>2</ml:real> <ml:real>2.5</ml:real> <ml:real>3</ml:real> <ml:real>3.5</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="593" left="198" top="306.75" width="180" height="15.75" align-x="213.75" align-y="318" 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">A</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="7"> <ml:real>15</ml:real> <ml:real>12</ml:real> <ml:real>10.5</ml:real> <ml:real>9</ml:real> <ml:real>7.5</ml:real> <ml:real>5.9999999999999982</ml:real> <ml:real>4.4999999999999991</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="594" left="402" top="302.25" width="69" height="20.25" align-x="431.25" align-y="318" 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:apply> <ml:matcol/> <ml:id xml:space="preserve">A</ml:id> <ml:real>1</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="1"> <ml:real>15</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="624" left="24" top="336" width="435.75" height="18" align-x="24" align-y="348" 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">Вычислим начальные условия ФПО (причём, должно выполняться </f> <region region-id="641" left="387.75" top="336.75" width="61.5" height="17.25" align-x="417" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:greaterOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="27"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> )</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">:</f> </p> </text> </region> <region region-id="625" left="48" top="378.75" width="295.5" height="187.5" align-x="62.25" align-y="390" 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">b</ml:id> <ml:program> <ml:for> <ml:id xml:space="preserve">n</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> </ml:ifThen> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> 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<ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">b</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="640" left="360" top="396.75" width="105.75" height="30" align-x="360" align-y="408" 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">Коррекция вектора ограничений b</f> <f family="Arial Cyr" charset="204" size="12"> <sub>1,n</sub> </f> <f family="Arial Cyr" charset="204" size="12"> .</f> </p> </text> </region> <region region-id="663" left="36" top="582.75" width="297" height="16.5" align-x="36" align-y="594" 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">Здесь Н</f> <f family="Arial Cyr" charset="204" size="12"> <sub>n</sub> </f> <f family="Arial Cyr" charset="204" size="12"> высота свободного подъёма ФПО участка n.</f> </p> </text> </region> <region region-id="642" left="30" top="612.75" width="332.25" height="13.5" align-x="30" align-y="624" 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">Выведем<sp count="2"/>значения скорректированного вектора b на экран:</f> </p> </text> </region> <region region-id="626" left="18" top="650.25" width="284.25" height="36.75" align-x="31.5" align-y="672" 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">b</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="7"> <ml:real>0</ml:real> <ml:real>24.919711073766486</ml:real> <ml:real>1</ml:real> <ml:real>17.206013460415519</ml:real> <ml:real>1.5</ml:real> <ml:real>12.566887678033892</ml:real> <ml:real>2</ml:real> <ml:real>9.6078989564673449</ml:real> <ml:real>2.5</ml:real> <ml:real>7.26643669957423</ml:real> <ml:real>3</ml:real> <ml:real>5.2454080372939824</ml:real> <ml:real>3.5</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="627" left="336" top="660.75" width="51.75" height="17.25" align-x="366" align-y="672" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="628" left="420" top="660.75" width="72.75" height="17.25" align-x="450" align-y="672" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>24.919711073766486</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="629" left="54" top="708.75" width="195.75" height="13.5" align-x="54" align-y="720" 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">Вычислим начальные условия ФПА:</f> </p> </text> </region> <region region-id="630" left="66" top="750.75" width="294.75" height="173.25" align-x="79.5" align-y="762" 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">a</ml:id> <ml:program> <ml:for> <ml:id xml:space="preserve">n</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">k</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:apply> <ml:vectorize/> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> </ml:program> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="631" left="66" top="950.25" width="301.5" height="36.75" align-x="78.75" align-y="972" 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">a</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="7"> <ml:real>15</ml:real> <ml:real>-26</ml:real> <ml:real>12</ml:real> <ml:real>-15.708382475608367</ml:real> <ml:real>10.5</ml:real> <ml:real>-8.3773752147077669</ml:real> <ml:real>9</ml:real> <ml:real>-2.6262266055854426</ml:real> <ml:real>6.7049807521756515</ml:real> <ml:real>0</ml:real> <ml:real>5.1911876813924174</ml:real> <ml:real>0</ml:real> <ml:real>4.4023601160911472</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="634" left="24" top="1020.75" width="498.75" height="31.5" align-x="24" align-y="1032" 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="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">В алгоритме вычисления матрицы "а" возможно применение следующих равнозначных операторов: </f> <region region-id="596" left="95.25" top="1035" width="146.25" height="17.25" align-x="102" align-y="1046.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </math> <rendering item-idref="34"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> или<sp count="2"/> </inlineAttr> </f> <region region-id="597" left="269.25" top="1035" width="83.25" height="17.25" align-x="285" align-y="1046.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">H</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </math> <rendering item-idref="35"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> .</inlineAttr> </f> </p> </text> </region> <region region-id="637" left="18" top="1066.5" width="486.75" height="87" align-x="18" align-y="1086" 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">Так как<sp count="2"/> </f> <region region-id="600" left="63" top="1067.25" width="368.25" height="24.75" align-x="103.5" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="36"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>и подкоренное выражение всегда неотрицательно, то </inlineAttr> </f> <region region-id="601" left="306.75" top="1092.75" width="56.25" height="17.25" align-x="347.25" align-y="1104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="37"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> всегда действительное число. Поэтому, чтобы избежать комплексных значений (а таковые появляются с очень малыми значениями 10</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sup>-8</sup> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ) , приходится вводить операцию векторизации матрицы<sp count="2"/>"а" и (или) модуля матрицы Т. </inlineAttr> </f> </p> </text> </region> <region region-id="659" left="18" top="1164.75" width="434.25" height="13.5" align-x="18" align-y="1176" 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">Закрытая/открытая область. Определение не совсем корректных ограничений.</f> </p> </text> </region> <region region-id="643" left="0" top="1197" width="6008.25" align-x="8.25" align-y="1206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="308.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="643" bottom-lock-id="644" bottom-tag=""> <region region-id="650" left="30" top="1224.75" width="173.25" height="143.25" align-x="52.5" align-y="1236" 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">m1</ml:id> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">n</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:break/> </ml:ifThen> <ml:localDefine> <ml:id xml:space="preserve">mm</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:return> <ml:str xml:space="preserve">OK</ml:str> </ml:return> </ml:ifThen> <ml:otherwise> <ml:id xml:space="preserve">mm</ml:id> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="656" left="276" top="1284.75" width="198.75" height="27" align-x="276" align-y="1296" 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">Работает<sp count="2"/>вегда правильно и тогда, </f> </p> <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">когда m1 не число!</f> </p> </text> </region> <region region-id="657" left="318" top="1332.75" width="64.5" height="15.75" align-x="339.75" align-y="1344" 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:provenance expr-id="1"> <originRef doc-id="60c21e0a-0cc7-4672-870f-342ec20d9585" version-id="340e4472-1a8e-4ae4-add2-324ff78e428d" branch-id="00000000-0000-0000-0000-000000000000" revision-num="5" is-modified="false" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\Компьют технол\СлушателиФПКП\РаботаС_if_break.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="60c21e0a-0cc7-4672-870f-342ec20d9585" version-id="340e4472-1a8e-4ae4-add2-324ff78e428d" branch-id="00000000-0000-0000-0000-000000000000" revision-num="5" is-modified="false" region-id="0" href="C:\Documents and Settings\Konstantin\Мои документы\Компьют технол\СлушателиФПКП\РаботаС_if_break.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">56b978be29728c3c5985f7242d1490d3</contentHash> <ml:id xml:space="preserve">m1</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:str xml:space="preserve">OK</ml:str> </result> </ml:eval> </math> <rendering item-idref="39"> <element-image-map> <box left="1.5" top="0.75" width="13.5" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="653" left="42" top="1410.75" width="327.75" height="36.75" align-x="64.5" align-y="1422" 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">m2</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">m1</ml:id> <ml:str xml:space="preserve">OK</ml:str> </ml:apply> <ml:return> <ml:str xml:space="preserve">OK</ml:str> </ml:return> </ml:ifThen> <ml:otherwise> <ml:return> <ml:parens> <ml:str xml:space="preserve">íåêîððåêòíû îãðàíè÷åíèÿ ñ ¹ m1</ml:str> </ml:parens> </ml:return> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="654" left="36" top="1470.75" width="64.5" height="15.75" align-x="57.75" align-y="1482" 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">m2</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:str xml:space="preserve">OK</ml:str> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> </area> <rendering item-idref="42"/> </region> <region region-id="537" left="30" top="1524.75" width="402.75" height="16.5" align-x="30" align-y="1536" 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">Вычисляем моменты времени начала (конца) фаз ФПА (Т</f> <f family="Arial Cyr" charset="204" size="12"> <sub>1,n</sub> </f> <f family="Arial Cyr" charset="204" size="12">) и ФПО (T</f> <f family="Arial Cyr" charset="204" size="12"> <sub>2,n</sub> </f> <f family="Arial Cyr" charset="204" size="12">):</f> </p> </text> </region> <region region-id="536" left="36" top="1572.75" width="366.75" height="137.25" align-x="51" align-y="1584" 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">T</ml:id> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">n</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">T</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="664" left="30" top="1728.75" width="468" height="40.5" align-x="30" align-y="1740" 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 этот алгоритм определения Т можно включить (так и было первоначально)<sp count="2"/> </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">вычисления матриц a и b. Однако, логичнее это сделать порозень. Выведем на экран полученные моменты времени начала фаз ФПА и ФПО.</f> </p> </text> </region> <region region-id="551" left="60" top="1790.25" width="285" height="36.75" align-x="74.25" align-y="1812" 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">T</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="7"> <ml:real>0</ml:real> <ml:real>0.52493770053089761</ml:real> <ml:real>1.0635954965814611</ml:real> <ml:real>1.6547406902523103</ml:real> <ml:real>2.3412131104389373</ml:real> <ml:real>3.0885356774964903</ml:real> <ml:real>4.0349275654732573</ml:real> <ml:real>4.9914665145047294</ml:real> <ml:real>5.9708649810151622</ml:real> <ml:real>6.8967616043044373</ml:real> <ml:real>7.6374789029358574</ml:real> <ml:real>8.3058540351088936</ml:real> <ml:real>8.8405541408473223</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="550" left="342" top="1806.75" width="73.5" height="17.25" align-x="372.75" align-y="1818" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:real>4</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>4.9914665145047294</ml:real> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="667" left="36" top="1848.75" width="234" height="13.5" align-x="36" align-y="1860" 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">Далее, как и прежде, введем обозначения:</f> </p> </text> </region> <region region-id="552" left="72" top="1878" width="54" height="18" align-x="92.25" align-y="1890" 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">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="554" left="162" top="1878.75" width="50.25" height="17.25" align-x="178.5" align-y="1890" 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">t</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="555" left="264" top="1878.75" width="58.5" height="17.25" align-x="279.75" align-y="1890" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>5</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>5.9708649810151622</ml:real> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="556" left="348" top="1878" width="62.25" height="18" align-x="367.5" align-y="1890" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.6547406902523103</ml:real> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="96" left="18" top="1902.75" width="369.75" height="14.25" align-x="18" align-y="1914" 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"> <b>Фаза падения мяча. </b> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal">Зададим функцию Хевисайда для этой фазы:</inlineAttr> </f> </p> </text> </region> <region region-id="236" left="156" top="1938" width="51.75" height="20.25" align-x="156" align-y="1938" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="50"/> <rendering item-idref="51"/> </region> <region region-id="225" left="18" top="1986" width="170.25" height="18" align-x="65.25" align-y="1998" 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">Fp</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="52"/> </region> <region region-id="224" left="276" top="1971.75" width="117" height="50.25" align-x="312.75" align-y="1998" 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">FP</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">Fp</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:bounds> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="91" left="18" top="2112" width="184.5" height="155.25" align-x="18" align-y="2112" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="54"/> <rendering item-idref="55"/> </region> <region region-id="94" left="228" top="2112" width="246" height="155.25" align-x="228" align-y="2112" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="56"/> <rendering item-idref="57"/> </region> <region region-id="239" left="36" top="2286.75" width="445.5" height="27" align-x="36" align-y="2298" 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">Функция FP(x) выделяет участки падения мяча на </f> <f family="Arial Cyr" charset="204" size="12">оси </f> <f family="Arial Cyr" charset="204" size="12">времени<sp count="2"/>в виде единичных</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">прямоугольных импульсов рис.1,2.</f> </p> </text> </region> <region region-id="97" left="30" top="2328.75" width="492.75" height="44.25" align-x="30" align-y="2340" 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="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">Динамику падения мяча на каждом участке n (x принадлежит отрезку [</f> <f family="Arial Cyr" charset="204" size="12">t</f> <f family="Arial Cyr" charset="204" size="12"> <sub>n,</sub> </f> <f family="Symbol" charset="2" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">q</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <sub>n</sub> </f> <f family="Arial Cyr" charset="204" size="12">]</f> <f family="Arial Cyr" charset="204" size="12">) можно получить, дважды интегрируя (1) с учётом начальных условий (2). Решение (1) будет</f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">иметь вид: </f> </p> </text> </region> <region region-id="375" left="42" top="2388.75" width="136.5" height="17.25" align-x="87.75" align-y="2400" 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">y1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">g</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="100" left="36" top="2422.5" width="215.25" height="33.75" align-x="75.75" align-y="2442" 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">y</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">a</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">g</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="114" left="24" top="2472.75" width="429" height="13.5" align-x="24" align-y="2484" 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="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12">На всех участках д</f> <f family="Arial Cyr" charset="204" size="12">инамика падения мяча будет </f> <f family="Arial Cyr" charset="204" size="12">описывается уравнением:</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> </p> </text> </region> <region region-id="115" left="36" top="2493.75" width="156" height="50.25" align-x="67.5" align-y="2520" 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">Y</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">Fp</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:bounds> </ml:apply> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="116" left="36" top="2562.75" width="272.25" height="13.5" align-x="36" align-y="2574" 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">Графическое подтверждение тому дано на рис. 3.</f> </p> </text> </region> <region region-id="118" left="48" top="2604" width="281.25" height="155.25" align-x="48" align-y="2604" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="61"/> <rendering item-idref="62"/> </region> <region region-id="121" left="42" top="2814.75" width="462" height="54.75" align-x="42" align-y="2826" 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"> <b>Фаза подъёма мяча. </b> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal"> <sp/> </inlineAttr> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal">По-прежнему возьмём уранение (1) и начальные условия (3). Аналогично тому как это было сделано при описании фазы падения </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal">мяча, запишем для данной фазы функции Хевисайда и, собственно, набора высоты.</inlineAttr> </f> </p> </text> </region> <region region-id="384" left="294" top="2886" width="57.75" height="18" align-x="294" align-y="2886" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="63"/> <rendering item-idref="64"/> </region> <region region-id="381" left="42" top="2886.75" width="223.5" height="13.5" align-x="42" align-y="2898" 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">Переменная<sp count="2"/>x принадлежит интервалу: </f> </p> </text> </region> <region region-id="124" left="30" top="2934" width="181.5" height="18" align-x="77.25" align-y="2946" 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">Fb</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="418" left="294" top="2919.75" width="117.75" height="50.25" align-x="331.5" align-y="2946" 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">FB</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">Fb</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">N</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="419" left="462" top="2934.75" width="21.75" height="15.75" align-x="471.75" align-y="2946" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>15</ml:real> </ml:parens> </math> <rendering item-idref="67"/> </region> <region region-id="569" left="72" top="3000" width="184.5" height="133.5" align-x="72" align-y="3000" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="68"/> <rendering item-idref="69"/> </region> <region region-id="138" left="42" top="3156" width="318" height="133.5" align-x="42" align-y="3156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="70"/> <rendering item-idref="71"/> </region> <region region-id="426" left="426" top="3204.75" width="33" height="13.5" align-x="426" align-y="3216" 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">Рис. 4</f> </p> </text> </region> <region region-id="416" left="42" top="3336.75" width="371.25" height="13.5" align-x="42" align-y="3348" 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">Уравнения, описывающие динамику фазы подъёма на n-м<sp count="3"/>участке:</f> </p> </text> </region> <region region-id="417" left="48" top="3372" width="147" height="18" align-x="99.75" align-y="3384" 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">yb1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">g</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="72"/> </region> <region region-id="572" left="48" top="3406.5" width="230.25" height="33.75" align-x="93.75" align-y="3426" 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">yb</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">g</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="73"/> </region> <region region-id="422" left="42" top="3462.75" width="285" height="13.5" align-x="42" align-y="3474" 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">Уравнение, описывающее динамику фазы подъёма:</f> </p> </text> </region> <region region-id="134" left="42" top="3519.75" width="169.5" height="50.25" align-x="81" align-y="3546" 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">YB</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">Fb</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">yb</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">N</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:define> </math> <rendering item-idref="74"/> </region> <region region-id="423" left="438" top="3534.75" width="21.75" height="15.75" align-x="447.75" align-y="3546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>18</ml:real> </ml:parens> </math> <rendering item-idref="75"/> </region> <region region-id="424" left="54" top="3582.75" width="315" height="13.5" align-x="54" align-y="3594" 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">Общая картина прыгающего мяча представлена на рис. 5</f> </p> </text> </region> <region region-id="427" left="48" top="3636" width="387.75" height="203.25" align-x="48" align-y="3636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="76"/> <rendering item-idref="77"/> </region> <region region-id="665" left="54" top="3852.75" width="409.5" height="27" align-x="54" align-y="3864" 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">Надо сказать, что функции Хевисайда "засоряют" график рис. 5. Как от них избавиться?</f> </p> </text> </region> <region region-id="616" left="54" top="3888.75" width="243.75" height="13.5" align-x="54" align-y="3900" 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">По другому эту картинку можно записать так:</f> </p> </text> </region> <region region-id="573" left="42" top="3933.75" width="369" height="50.25" align-x="79.5" align-y="3960" 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">Y2</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">b</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">n</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">g</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">N</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="78"/> </region> <region region-id="578" left="84" top="4014" width="171" height="133.5" align-x="84" align-y="4014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="79"/> <rendering item-idref="80"/> </region> <region region-id="668" left="330" top="4050.75" width="138" height="13.5" align-x="330" align-y="4062" 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">Однако, "мусор" остался.</f> </p> </text> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNvQ6CQBCEdzlQwd/GGhMbj9InsCBWJj6CnvifEA1SWPrm5+yCvUf2GGa/ 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