运算符
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矩阵运算符
> 示例：矢量化运算符
示例：矢量化运算符
矢量化运算符会影响其所应用到的表达式中的所有运算符。请考虑以下表达式：
<region id="ID0E6R6R" actualWidth="75.73" actualHeight="44.2" top="38.400000000000006" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="9"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve">Q</id> <matrix rows="2" cols="2"> <real>1</real> <real>1</real> <real>2</real> <real>1</real> </matrix> </define> </math> </region>
<region id="ID0EPS6R" actualWidth="110.87666666666668" actualHeight="44.2" top="115.20000000000002" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="10"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve">A</id> <eval> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <unitOverride> <placeholder /> </unitOverride> </eval> </define> </math> </region>
<region id="ID0E6S6R" actualWidth="154.66666666666666" actualHeight="44.2" top="192.00000000000003" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="11"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve">B</id> <eval> <apply> <transpose /> <apply> <pow /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <real>-1</real> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </define> </math> </region>
<region id="ID0EPT6R" actualWidth="123.91666666666666" actualHeight="44.2" top="268.80000000000007" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="12"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <vectorize /> <apply> <mult /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">A</id> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">B</id> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </math> </region>
但是
<region id="ID0EEU6R" actualWidth="137.93333333333334" actualHeight="46.382000000000005" top="345.6" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="13"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <vectorize /> <apply> <mult /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <apply> <transpose /> <apply> <pow /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <real>-1</real> </apply> </apply> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </math> </region>
且
<region id="ID0EZU6R" actualWidth="150.26666666666668" actualHeight="46.382000000000005" top="422.40000000000009" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="14"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <vectorize /> <apply> <mult /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <parens> <apply> <transpose /> <apply> <pow /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <real>-1</real> </apply> </apply> </parens> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </math> </region>
与中间变量不同，矢量化适用于表达式中的所有运算符。请考虑以下表达式：
<region id="ID0EOV6R" actualWidth="189.13666666666668" actualHeight="44.2" top="499.20000000000005" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="15"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve">InverseQ</id> <eval> <apply> <vectorize /> <apply> <pow /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Q</id> <real>-1</real> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </define> </math> </region>
<region id="ID0E5V6R" actualWidth="316.70333333333332" actualHeight="44.2" top="576.00000000000011" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="16"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve">TransposedInverseQ</id> <eval> <apply> <vectorize /> <apply> <transpose /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">InverseQ</id> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </define> </math> </region>
<region id="ID0EOW6R" actualWidth="247.78000000000003" actualHeight="44.2" top="652.80000000000007" left="0" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="17"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <vectorize /> <apply> <mult /> <id labels="VARIABLE" xml:space="preserve">Q</id> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">TransposedInverseQ</id> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </math> </region>
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矢量化运算符
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