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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Расчет скользящей средней и тренда временного ряда объема продаж фирмы.</f> <f family="Arial Cyr" charset="204" size="10">Услоные обозначения: j - номер квартала, J - количество кварталов в рассматриваемом периоде, </f> <region region-id="31" left="48" top="759" width="10.5" height="18" align-x="52.5" align-y="768" 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:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </math> <rendering item-idref="20"/> </region> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> - объем продаж в квартале j, </inlineAttr> </f> <region region-id="32" left="195.75" top="759" width="10.5" height="18" align-x="200.25" align-y="768" 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:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </math> <rendering item-idref="21"/> </region> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> - сользящая средняя, </inlineAttr> </f> <region region-id="33" left="312.75" top="759" width="9.75" height="18" align-x="316.5" align-y="768" 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:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </math> <rendering item-idref="22"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="10"> - тренд, </f> </inlineAttr> <region region-id="34" left="363.75" top="759" width="9.75" height="18" align-x="367.5" align-y="768" 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:indexer/> <ml:id xml:space="preserve">R</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </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="10"> -процентное отношение </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">объема продаж к тренду. U - матрица результатов.</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="10"> <sp/> </f> </text> </region> <region region-id="59" left="48" top="810.75" width="343.5" height="13.5" align-x="48" align-y="822" 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"> <f family="Arial Cyr" charset="204" size="12">Зададим вектор объема продаж Q<sp count="2"/>и количество кварталов:</f> </text> </region> <region region-id="132" left="402" top="813" width="26.25" height="12.75" align-x="411.75" align-y="822" 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">J</ml:id> <ml:real>16</ml:real> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="133" left="450" top="813" width="32.25" height="12.75" align-x="459" align-y="822" 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">j</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">J</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="80" left="48" top="840.75" width="60.75" height="13.5" align-x="48" align-y="852" 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"> <f family="Arial Cyr" charset="204" size="12">Константы:</f> </text> </region> <region region-id="81" left="126" top="842.25" width="69" height="13.5" align-x="138" align-y="852" 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">β</ml:id> <ml:apply> <ml:plus/> <ml:real>3</ml:real> <ml:id xml:space="preserve">FRAME</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="75" left="198" top="912.75" width="207" height="72.75" align-x="198" align-y="924" 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"> <f family="Arial Cyr" charset="204" size="12">Формулы расчета:</f> <region region-id="72" left="198" top="927" width="57" height="58.5" align-x="213" align-y="973.5" 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">S</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:id xml:space="preserve">q</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">q</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:bounds> </ml:apply> <ml:real>4</ml:real> </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> <region region-id="73" left="264.75" top="952.5" width="67.5" height="33" align-x="280.5" align-y="973.5" 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">T</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">q</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="28"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> , </inlineAttr> </f> <region region-id="74" left="342" top="952.5" width="59.25" height="38.25" align-x="356.25" align-y="973.5" 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">R</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="29"/> </region> </text> </region> <region region-id="77" left="480" top="981" width="12.75" height="12.75" align-x="485.25" align-y="990" 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>1</ml:real> </ml:parens> </math> <rendering item-idref="30"/> </region> <region region-id="127" left="66" top="887.25" width="48" height="260.25" align-x="78.75" align-y="1020" 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:matrix rows="16" cols="1"> <ml:real>64</ml:real> <ml:real>75</ml:real> <ml:real>80</ml:real> <ml:real>157</ml:real> <ml:real>68</ml:real> <ml:real>80</ml:real> <ml:real>86</ml:real> <ml:real>170</ml:real> <ml:real>69</ml:real> <ml:real>83</ml:real> <ml:real>91</ml:real> <ml:real>188</ml:real> <ml:real>72</ml:real> <ml:real>86</ml:real> <ml:real>97</ml:real> <ml:real>202</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="78" left="192" top="1038.75" width="269.25" height="13.5" align-x="192" 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="true"> <f family="Arial Cyr" charset="204" size="12">Исходя из формул (1), найдем последовательно: </f> </text> </region> <region region-id="79" left="180" top="1087.5" width="278.25" height="43.5" align-x="195" align-y="1110" 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">T</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:or/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">J</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real font="0">0</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:bounds> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="112" left="486" top="1101" width="12.75" height="12.75" align-x="491.25" align-y="1110" 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>2</ml:real> </ml:parens> </math> <rendering item-idref="33"/> </region> <region region-id="82" left="180" top="1155" width="54.75" height="12.75" align-x="213" align-y="1164" 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:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>16</ml:real> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="85" left="42" top="1211.25" width="461.25" height="39.75" align-x="58.5" align-y="1230" 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:transpose/> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="16"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>94.5</ml:real> <ml:real>95.625</ml:real> <ml:real>97</ml:real> <ml:real>99.375</ml:real> <ml:real>101.125</ml:real> <ml:real>101.625</ml:real> <ml:real>102.625</ml:real> <ml:real>105.5</ml:real> <ml:real>108.125</ml:real> <ml:real>108.875</ml:real> <ml:real>110</ml:real> <ml:real>112.5</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <general precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> <table item-idref="35"/> </resultFormat> </math> <rendering item-idref="36"/> </region> <region region-id="86" left="48" top="1281" width="168" height="38.25" align-x="63" align-y="1302" 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">R</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:or/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">J</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>0</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="89" left="246" top="1293" width="54.75" height="12.75" align-x="279" align-y="1302" 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:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>16</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="90" left="330" top="1287.75" width="38.25" height="18" align-x="354" align-y="1302" 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:matcol/> <ml:id xml:space="preserve">U</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">Q</ml:id> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="98" left="384" top="1287.75" width="37.5" height="18" align-x="408" align-y="1302" 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:matcol/> <ml:id xml:space="preserve">U</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">T</ml:id> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="99" left="450" top="1287.75" width="37.5" height="18" align-x="474" align-y="1302" 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:matcol/> <ml:id xml:space="preserve">U</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">R</ml:id> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="130" left="48" top="1344.75" width="173.25" height="13.5" align-x="48" align-y="1356" 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"> <f family="Arial Cyr" charset="204" size="12">Введем переменную "время" t :</f> </text> </region> <region region-id="131" left="240" top="1347" width="22.5" height="18" align-x="252" align-y="1356" 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">j</ml:id> </ml:apply> <ml:id xml:space="preserve">j</ml:id> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="108" left="240" top="1512" width="258" height="131.25" align-x="240" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="43"/> <rendering item-idref="44"/> </region> <region region-id="109" left="36" top="1434" width="174" height="218.25" align-x="48" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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<f family="Arial Cyr" charset="204" size="12">Популярный, самый простой и эффективный метод сглаживания.</f> </text> </region> <region region-id="40" left="42" top="45" width="49.5" height="12.75" align-x="79.5" align-y="54" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">ORIGIN</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="41" left="102" top="45" width="29.25" height="12.75" align-x="114.75" align-y="54" 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:real>17</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="42" left="162" top="45" width="36.75" height="12.75" align-x="172.5" align-y="54" 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>1</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="43" left="210" top="45" width="30" height="18" align-x="228" align-y="54" 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:id xml:space="preserve">k</ml:id> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="35" left="144" top="89.25" width="351.75" height="39.75" align-x="162" align-y="108" 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:transpose/> <ml:id xml:space="preserve">X</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="17"> <ml:real>1</ml:real> <ml:real>2</ml:real> <ml:real>3</ml:real> <ml:real>4</ml:real> <ml:real>5</ml:real> <ml:real>6</ml:real> <ml:real>7</ml:real> <ml:real>8</ml:real> <ml:real>9</ml:real> <ml:real>10</ml:real> <ml:real>11</ml:real> <ml:real>12</ml:real> <ml:real>13</ml:real> <ml:real>14</ml:real> <ml:real>15</ml:real> <ml:real>16</ml:real> <ml:real>17</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="6"/> </resultFormat> </math> <rendering item-idref="7"/> </region> <region region-id="122" left="156" top="153" width="70.5" height="12.75" align-x="169.5" align-y="162" 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">w</ml:id> <ml:apply> <ml:plus/> <ml:real>3</ml:real> <ml:id xml:space="preserve">FRAME</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="123" left="312" top="152.25" width="88.5" height="13.5" align-x="312" align-y="162" 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"> <f family="Arial Cyr" charset="204">Интервал </f> <region region-id="57" left="357" top="153" width="42.75" height="12.75" align-x="385.5" align-y="162" 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:lessOrEqual/> <ml:real>2</ml:real> <ml:id xml:space="preserve">w</ml:id> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </math> <rendering item-idref="9"/> </region> </text> </region> <region region-id="124" left="156" top="192.75" width="311.25" height="27" align-x="156" align-y="204" 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"> <f family="Arial Cyr" charset="204" size="12">Здесь: length - число компонент и<sp count="3"/>last - номер последней компоненты<sp count="2"/>вектора</f> </text> </region> <region region-id="126" left="42" top="87" width="45" height="276.75" align-x="54" align-y="228" 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">Y</ml:id> <ml:matrix rows="17" cols="1"> <ml:real>4.1</ml:real> <ml:real>2.4</ml:real> <ml:real>3</ml:real> <ml:real>4.3</ml:real> <ml:real>3.6</ml:real> <ml:real>5.2</ml:real> <ml:real>5.9</ml:real> <ml:real>5</ml:real> <ml:real>4.7</ml:real> <ml:real>4</ml:real> <ml:real>3.5</ml:real> <ml:real>3.9</ml:real> <ml:real>3</ml:real> <ml:real>2.7</ml:real> <ml:real>3.7</ml:real> <ml:real>4.8</ml:real> <ml:real>5.9</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="46" left="156" top="249" width="48.75" height="12.75" align-x="169.5" align-y="258" 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">N</ml:id> <ml:apply> <ml:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">Y</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="54" left="222" top="249" width="66" height="12.75" align-x="266.25" align-y="258" 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:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">Y</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>17</ml:real> </result> </ml:eval> </math> <rendering item-idref="12"/> </region> <region region-id="55" left="300" top="249" width="34.5" height="12.75" align-x="312.75" align-y="258" 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">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>17</ml:real> </result> </ml:eval> </math> <rendering item-idref="13"/> </region> <region region-id="48" left="378" top="249" width="35.25" height="12.75" align-x="386.25" align-y="258" 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">i</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="135" left="138" top="294.75" width="342" height="46.5" align-x="138" align-y="306" 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"> <f family="Arial Cyr" charset="204" size="12">По этой формуле всегда берутся две позиции i-1, i (Y</f> <f family="Arial Cyr" charset="204" size="12"> i-1 </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr>,Y</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> i </f> <f family="Arial Cyr" charset="204" size="12">), и их</f> <f family="Arial Cyr" charset="204" size="12">среднее значение, которое записывается под номером i</f> <f family="Arial Cyr" charset="204" size="12">как M</f> <f family="Arial Cyr" charset="204" size="12"> i </f> <inlineAttr> <f family="Arial Cyr" charset="204" size="12">.</f> </inlineAttr> </text> </region> <region region-id="125" left="198" top="379.5" width="160.5" height="58.5" align-x="215.25" align-y="426" 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">M</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">w</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">i</ml:id> </ml:bounds> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">w</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:bounds> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">w</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="25" left="102" top="447.75" width="351" height="28.5" align-x="121.5" align-y="462" 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:transpose/> <ml:id xml:space="preserve">M</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="17"> <ml:real>4.1</ml:real> <ml:real>3.25</ml:real> <ml:real>2.7</ml:real> <ml:real>3.65</ml:real> <ml:real>3.95</ml:real> <ml:real>4.4</ml:real> <ml:real>5.5500000000000007</ml:real> <ml:real>5.45</ml:real> <ml:real>4.85</ml:real> <ml:real>4.35</ml:real> <ml:real>3.75</ml:real> <ml:real>3.7</ml:real> <ml:real>3.45</ml:real> <ml:real>2.85</ml:real> <ml:real>3.2</ml:real> <ml:real>4.25</ml:real> <ml:real>5.35</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="16"/> </resultFormat> </math> <rendering item-idref="17"/> </region> <region region-id="27" left="54" top="498" width="327" height="183.75" align-x="54" align-y="498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="18"/> <rendering item-idref="19"/> </region> <region region-id="30" left="48" top="732.75" width="449.25" height="56.25" align-x="48" align-y="744" 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"> <f family="Arial Cyr" charset="204" size="12">Расчет скользящей средней и тренда временного ряда объема продаж фирмы.</f> <f family="Arial Cyr" charset="204" size="10">Услоные обозначения: j - номер квартала, J - количество кварталов в рассматриваемом периоде, </f> <region region-id="31" left="48" top="759" width="10.5" height="18" align-x="52.5" align-y="768" 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:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </math> <rendering item-idref="20"/> </region> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> - объем продаж в квартале j, </inlineAttr> </f> <region region-id="32" left="195.75" top="759" width="10.5" height="18" align-x="200.25" align-y="768" 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:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </math> <rendering item-idref="21"/> </region> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> - сользящая средняя, </inlineAttr> </f> <region region-id="33" left="312.75" top="759" width="9.75" height="18" align-x="316.5" align-y="768" 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:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </math> <rendering item-idref="22"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="10"> - тренд, </f> </inlineAttr> <region region-id="34" left="363.75" top="759" width="9.75" height="18" align-x="367.5" align-y="768" 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:indexer/> <ml:id xml:space="preserve">R</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </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="10"> -процентное отношение </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">объема продаж к тренду. U - матрица результатов.</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="10"> <sp/> </f> </text> </region> <region region-id="59" left="48" top="810.75" width="343.5" height="13.5" align-x="48" align-y="822" 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"> <f family="Arial Cyr" charset="204" size="12">Зададим вектор объема продаж Q<sp count="2"/>и количество кварталов:</f> </text> </region> <region region-id="132" left="402" top="813" width="26.25" height="12.75" align-x="411.75" align-y="822" 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">J</ml:id> <ml:real>16</ml:real> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="133" left="450" top="813" width="32.25" height="12.75" align-x="459" align-y="822" 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">j</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">J</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="80" left="48" top="840.75" width="60.75" height="13.5" align-x="48" align-y="852" 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"> <f family="Arial Cyr" charset="204" size="12">Константы:</f> </text> </region> <region region-id="81" left="126" top="842.25" width="69" height="13.5" align-x="138" align-y="852" 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">β</ml:id> <ml:apply> <ml:plus/> <ml:real>3</ml:real> <ml:id xml:space="preserve">FRAME</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="75" left="198" top="912.75" width="207" height="72.75" align-x="198" align-y="924" 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"> <f family="Arial Cyr" charset="204" size="12">Формулы расчета:</f> <region region-id="72" left="198" top="927" width="57" height="58.5" align-x="213" align-y="973.5" 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">S</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:id xml:space="preserve">q</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">q</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:bounds> </ml:apply> <ml:real>4</ml:real> </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> <region region-id="73" left="264.75" top="952.5" width="67.5" height="33" align-x="280.5" align-y="973.5" 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">T</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">S</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">q</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="28"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> , </inlineAttr> </f> <region region-id="74" left="342" top="952.5" width="59.25" height="38.25" align-x="356.25" align-y="973.5" 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">R</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="29"/> </region> </text> </region> <region region-id="77" left="480" top="981" width="12.75" height="12.75" align-x="485.25" align-y="990" 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>1</ml:real> </ml:parens> </math> <rendering item-idref="30"/> </region> <region region-id="127" left="66" top="887.25" width="48" height="260.25" align-x="78.75" align-y="1020" 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:matrix rows="16" cols="1"> <ml:real>64</ml:real> <ml:real>75</ml:real> <ml:real>80</ml:real> <ml:real>157</ml:real> <ml:real>68</ml:real> <ml:real>80</ml:real> <ml:real>86</ml:real> <ml:real>170</ml:real> <ml:real>69</ml:real> <ml:real>83</ml:real> <ml:real>91</ml:real> <ml:real>188</ml:real> <ml:real>72</ml:real> <ml:real>86</ml:real> <ml:real>97</ml:real> <ml:real>202</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="78" left="192" top="1038.75" width="269.25" height="13.5" align-x="192" 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="true"> <f family="Arial Cyr" charset="204" size="12">Исходя из формул (1), найдем последовательно: </f> </text> </region> <region region-id="79" left="180" top="1087.5" width="278.25" height="43.5" align-x="195" align-y="1110" 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">T</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:or/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">J</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real font="0">0</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:bounds> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="112" left="486" top="1101" width="12.75" height="12.75" align-x="491.25" align-y="1110" 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>2</ml:real> </ml:parens> </math> <rendering item-idref="33"/> </region> <region region-id="82" left="180" top="1155" width="54.75" height="12.75" align-x="213" align-y="1164" 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:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>16</ml:real> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="85" left="42" top="1211.25" width="461.25" height="39.75" align-x="58.5" align-y="1230" 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:transpose/> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="16"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>94.5</ml:real> <ml:real>95.625</ml:real> <ml:real>97</ml:real> <ml:real>99.375</ml:real> <ml:real>101.125</ml:real> <ml:real>101.625</ml:real> <ml:real>102.625</ml:real> <ml:real>105.5</ml:real> <ml:real>108.125</ml:real> <ml:real>108.875</ml:real> <ml:real>110</ml:real> <ml:real>112.5</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <general precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> <table item-idref="35"/> </resultFormat> </math> <rendering item-idref="36"/> </region> <region region-id="86" left="48" top="1281" width="168" height="38.25" align-x="63" align-y="1302" 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">R</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:or/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">J</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>0</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">T</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="89" left="246" top="1293" width="54.75" height="12.75" align-x="279" align-y="1302" 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:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>16</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="90" left="330" top="1287.75" width="38.25" height="18" align-x="354" align-y="1302" 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:matcol/> <ml:id xml:space="preserve">U</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">Q</ml:id> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="98" left="384" top="1287.75" width="37.5" height="18" align-x="408" align-y="1302" 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:matcol/> <ml:id xml:space="preserve">U</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">T</ml:id> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="99" left="450" top="1287.75" width="37.5" height="18" align-x="474" align-y="1302" 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:matcol/> <ml:id xml:space="preserve">U</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">R</ml:id> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="130" left="48" top="1344.75" width="173.25" height="13.5" align-x="48" align-y="1356" 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"> <f family="Arial Cyr" charset="204" size="12">Введем переменную "время" t :</f> </text> </region> <region region-id="131" left="240" top="1347" width="22.5" height="18" align-x="252" align-y="1356" 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">j</ml:id> </ml:apply> <ml:id xml:space="preserve">j</ml:id> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="108" left="240" top="1512" width="258" height="131.25" align-x="240" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="43"/> <rendering item-idref="44"/> </region> <region region-id="109" left="36" top="1434" width="174" height="218.25" align-x="48" align-y="1542" 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">U</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="16" cols="3"> <ml:real>64</ml:real> <ml:real>75</ml:real> <ml:real>80</ml:real> <ml:real>157</ml:real> <ml:real>68</ml:real> <ml:real>80</ml:real> <ml:real>86</ml:real> <ml:real>170</ml:real> <ml:real>69</ml:real> <ml:real>83</ml:real> <ml:real>91</ml:real> <ml:real>188</ml:real> <ml:real>72</ml:real> <ml:real>86</ml:real> <ml:real>97</ml:real> <ml:real>202</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>94.5</ml:real> <ml:real>95.625</ml:real> <ml:real>97</ml:real> <ml:real>99.375</ml:real> <ml:real>101.125</ml:real> <ml:real>101.625</ml:real> <ml:real>102.625</ml:real> <ml:real>105.5</ml:real> <ml:real>108.125</ml:real> <ml:real>108.875</ml:real> <ml:real>110</ml:real> <ml:real>112.5</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>84.656084656084658</ml:real> <ml:real>164.1830065359477</ml:real> <ml:real>70.103092783505147</ml:real> <ml:real>80.503144654088061</ml:real> <ml:real>85.043263288009882</ml:real> <ml:real>167.28167281672816</ml:real> <ml:real>67.235079171741774</ml:real> <ml:real>78.672985781990519</ml:real> <ml:real>84.161849710982665</ml:real> <ml:real>172.67508610792191</ml:real> <ml:real>65.454545454545453</ml:real> <ml:real>76.444444444444443</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> <table item-idref="45"/> </resultFormat> </math> <rendering item-idref="46"/> </region> <region region-id="114" left="36" top="1704.75" width="309.75" height="57.75" align-x="36" align-y="1716" 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"> <f family="Arial Cyr" charset="204" size="12">Вместо (2) м. б. применена формула: </f> <region region-id="120" left="36" top="1719" width="306" height="43.5" align-x="51" align-y="1741.5" 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">j</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:or/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id 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