Funzioni logaritmiche

Fare clic per copiare questa espressione

<region id="ID0E3AZGB" top="96.000000000000014" left="38.400000000000006" xml:lang="it" actualWidth="193.25666666666666" actualHeight="78.4" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="6" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">dilog</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <integral xml:lang="it" />
        <lambda xml:lang="it">
          <boundVars xml:lang="it">
            <id xml:space="preserve" xml:lang="it">τ</id>
          </boundVars>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <apply xml:lang="it">
              <div xml:lang="it" />
              <real xml:lang="it">1</real>
              <apply xml:lang="it">
                <minus xml:lang="it" />
                <real xml:lang="it">1</real>
                <id xml:space="preserve" xml:lang="it">τ</id>
              </apply>
            </apply>
            <apply xml:lang="it">
              <id xml:space="preserve" xml:lang="it">ln</id>
              <id xml:space="preserve" xml:lang="it">τ</id>
            </apply>
          </apply>
        </lambda>
        <lowerBound xml:lang="it">
          <real xml:lang="it">1</real>
        </lowerBound>
        <upperBound xml:lang="it">
          <id xml:space="preserve" xml:lang="it">x</id>
        </upperBound>
      </apply>
    </apply>
  </math>
</region>

<region id="ID0EVCZGB" top="172.8" left="38.400000000000006" xml:lang="it" actualWidth="156.34333333333336" actualHeight="51.910666666666671" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="8" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">polylog</id>
        <sequence xml:lang="it">
          <id xml:space="preserve" xml:lang="it">n</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </sequence>
      </apply>
      <apply xml:lang="it">
        <summation xml:lang="it" />
        <lambda xml:lang="it">
          <boundVars xml:lang="it">
            <id xml:space="preserve" xml:lang="it">k</id>
          </boundVars>
          <apply xml:lang="it">
            <div xml:lang="it" />
            <apply xml:lang="it">
              <pow xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
              <id xml:space="preserve" xml:lang="it">k</id>
            </apply>
            <apply xml:lang="it">
              <pow xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">k</id>
              <id xml:space="preserve" xml:lang="it">n</id>
            </apply>
          </apply>
        </lambda>
        <lowerBound xml:lang="it">
          <real xml:lang="it">1</real>
        </lowerBound>
        <upperBound xml:lang="it">
          <id xml:space="preserve" xml:lang="it">∞</id>
        </upperBound>
      </apply>
    </apply>
  </math>
</region>

<region id="ID0EWDZGB" top="249.60000000000002" left="76.800000000000011" xml:lang="it" actualWidth="190.97000000000003" actualHeight="25.6" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="10" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">polylog</id>
        <sequence xml:lang="it">
          <real xml:lang="it">2</real>
          <id xml:space="preserve" xml:lang="it">x</id>
        </sequence>
      </apply>
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">dilog</id>
        <apply xml:lang="it">
          <minus xml:lang="it" />
          <real xml:lang="it">1</real>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>