函數
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雜項函數
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範例：將弧度轉換為「度-分-秒」
範例：將弧度轉換為「度-分-秒」
使用
DMS
函數可將弧度轉換為「度-分-秒」(反之亦然)。
1.
調用
DMS
函數將「度-分-秒」值的向量轉換為弧度。
<region id="ID0E3SXLB" actualWidth="118.08666666666667" actualHeight="62.800000000000004" top="153.60000000000002" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="18" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">R</id> <apply xml:lang="zh_TW"> <id labels="UNIT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">DMS</id> <matrix rows="3" cols="1" xml:lang="zh_TW"> <real xml:lang="zh_TW">26</real> <real xml:lang="zh_TW">17</real> <real xml:lang="zh_TW">13</real> </matrix> </apply> </define> </math> </region>
2.
計算變數 R。
<region id="ID0ERUXLB" actualWidth="79.803333333333327" actualHeight="25.6" top="249.60000000000002" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="20" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">R</id> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> </math> </region>
3.
將
DMS
單位插入到佔位符，以此將上述結果轉回至
DMS
。
<region id="ID0EQWXLB" actualWidth="106.91666666666667" actualHeight="62.800000000000004" top="345.6" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="22" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">R</id> <unitOverride xml:lang="zh_TW"> <id labels="UNIT" xml:space="preserve" xml:lang="zh_TW">DMS</id> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
4.
定義函數以將
DMS
值的列向量轉換為弧度。
<region id="ID0EKYXLB" actualWidth="272.07333333333338" actualHeight="60.42" top="460.80000000000007" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="24" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <function xml:lang="zh_TW"> <id labels="*" xml:space="preserve" xml:lang="zh_TW">dms2rad</id> <boundVars xml:lang="zh_TW"> <id labels="*" xml:space="preserve" xml:lang="zh_TW">v</id> </boundVars> </function> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> <real xml:lang="zh_TW">180</real> </apply> <parens xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <indexer xml:lang="zh_TW" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">v</id> <sequence xml:lang="zh_TW"> <real xml:lang="zh_TW">0</real> <real xml:lang="zh_TW">0</real> </sequence> </apply> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <indexer xml:lang="zh_TW" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">v</id> <sequence xml:lang="zh_TW"> <real xml:lang="zh_TW">0</real> <real xml:lang="zh_TW">1</real> </sequence> </apply> <real xml:lang="zh_TW">60</real> </apply> </apply> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <indexer xml:lang="zh_TW" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">v</id> <sequence xml:lang="zh_TW"> <real xml:lang="zh_TW">0</real> <real xml:lang="zh_TW">2</real> </sequence> </apply> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <real xml:lang="zh_TW">60</real> <real xml:lang="zh_TW">2</real> </apply> </apply> </apply> </parens> </apply> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
5.
使用函數將
DMS
轉換為弧度。
<region id="ID0EE1XLB" actualWidth="219.65333333333334" actualHeight="25.6" top="556.80000000000007" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="26" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">dms2rad</id> <matrix rows="1" cols="3" xml:lang="zh_TW"> <real xml:lang="zh_TW">26</real> <real xml:lang="zh_TW">17</real> <real xml:lang="zh_TW">13</real> </matrix> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
6.
使用
floor
函數定義函數，將弧度轉換為
DMS
值的列向量。
<region id="ID0EU3XLB" actualWidth="149.66000000000003" actualHeight="25.6" top="633.60000000000014" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="28" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <function xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">G</id> <boundVars xml:lang="zh_TW"> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> </boundVars> </function> <parens xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <minus xml:lang="zh_TW" /> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">floor</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> </apply> </apply> </parens> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
<region id="ID0EG4XLB" actualWidth="66.78" actualHeight="27.620000000000005" top="672.00000000000011" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="30" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve" xml:lang="zh_TW">ε</id> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <real xml:lang="zh_TW">10</real> <real xml:lang="zh_TW">-13</real> </apply> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
<region id="ID0EY4XLB" actualWidth="576.99333333333334" actualHeight="47.2" top="710.40000000000009" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="32" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <function xml:lang="zh_TW"> <id labels="*" xml:space="preserve" xml:lang="zh_TW">rad2dms</id> <boundVars xml:lang="zh_TW"> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> </boundVars> </function> <matrix rows="1" cols="3" xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">floor</id> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <real xml:lang="zh_TW">180</real> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">ε</id> </apply> </apply> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">floor</id> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">60</real> <apply xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">G</id> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <real xml:lang="zh_TW">180</real> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">ε</id> </apply> </apply> </apply> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">60</real> <apply xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">G</id> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">60</real> <parens xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <real xml:lang="zh_TW">180</real> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">x</id> </apply> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">ε</id> </apply> </parens> </apply> </apply> </apply> </matrix> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
7.
使用上述函數將弧度轉換為
DMS
。
<region id="ID0ES6XLB" actualWidth="194.57" actualHeight="25.6" top="806.40000000000009" left="38.400000000000006" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="34" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">rad2dms</id> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">R</id> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
複製運算式
