誤差函數與互補誤差函數

函數 > 特殊函數 > 其他特殊函數 > 誤差函數與互補誤差函數

誤差函數與互補誤差函數

• erf(x) - 傳回誤差函數。

按一下以複製此運算式

<region id="ID0EHRAFB" top="57.600000000000009" left="38.400000000000006" xml:lang="zh_TW" height="65.980000193993263" width="101.28266663690408" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="3" xml:lang="zh_TW">
    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <mult xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <real xml:lang="zh_TW">2</real>
        <apply xml:lang="zh_TW">
          <nthRoot xml:lang="zh_TW" />
          <placeholder xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">n</id>
        </apply>
      </apply>
      <apply xml:lang="zh_TW">
        <integral xml:lang="zh_TW" />
        <lambda xml:lang="zh_TW">
          <boundVars xml:lang="zh_TW">
            <id xml:space="preserve" xml:lang="zh_TW">t</id>
          </boundVars>
          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <apply xml:lang="zh_TW">
              <neg xml:lang="zh_TW" />
              <apply xml:lang="zh_TW">
                <pow xml:lang="zh_TW" />
                <id xml:space="preserve" xml:lang="zh_TW">t</id>
                <real xml:lang="zh_TW">2</real>
              </apply>
            </apply>
          </apply>
        </lambda>
        <lowerBound xml:lang="zh_TW">
          <real xml:lang="zh_TW">0</real>
        </lowerBound>
        <upperBound xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">x</id>
        </upperBound>
      </apply>
    </apply>
  </math>
</region>

• erfc(x) - 傳回互補誤差函數。

按一下以複製此運算式

<region id="ID0EATAFB" top="153.60000000000002" left="38.400000000000006" xml:lang="zh_TW" height="65.980000193993263" width="101.43266663690409" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="5" xml:lang="zh_TW">
    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <mult xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <real xml:lang="zh_TW">2</real>
        <apply xml:lang="zh_TW">
          <nthRoot xml:lang="zh_TW" />
          <placeholder xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">n</id>
        </apply>
      </apply>
      <apply xml:lang="zh_TW">
        <integral xml:lang="zh_TW" />
        <lambda xml:lang="zh_TW">
          <boundVars xml:lang="zh_TW">
            <id xml:space="preserve" xml:lang="zh_TW">t</id>
          </boundVars>
          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <apply xml:lang="zh_TW">
              <neg xml:lang="zh_TW" />
              <apply xml:lang="zh_TW">
                <pow xml:lang="zh_TW" />
                <id xml:space="preserve" xml:lang="zh_TW">t</id>
                <real xml:lang="zh_TW">2</real>
              </apply>
            </apply>
          </apply>
        </lambda>
        <lowerBound xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">x</id>
        </lowerBound>
        <upperBound xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">∞</id>
        </upperBound>
      </apply>
    </apply>
    <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>

誤差函數與互補誤差函數的關係如下：

erfc(x) = 1 −erf(x)

引數

• x 是無維度的複數純量。