Esempio: utilizzo di angoli polari

Fare clic per copiare questa espressione

<region id="ID0EKLZX" top="288.00000000000006" left="38.400000000000006" height="81.4" width="184.29000000000002" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="33" xml:lang="it">
    <define xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <id labels="FUNCTION" xml:space="preserve" xml:lang="it">a</id>
      <eval xml:lang="it">
        <apply xml:lang="it">
          <id labels="FUNCTION" xml:space="preserve" xml:lang="it">angle</id>
          <sequence xml:lang="it">
            <id labels="VARIABLE" xml:space="preserve" xml:lang="it" label-is-contextual="true">x</id>
            <id labels="VARIABLE" xml:space="preserve" xml:lang="it" label-is-contextual="true">y</id>
          </sequence>
        </apply>
        <unitOverride xml:lang="it">
          <placeholder xml:lang="it" />
        </unitOverride>
      </eval>
    </define>
    <resultFormat xml:lang="it">
      <matrix size="6,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

La funzione atan2 non è definita in corrispondenza di (0,0).

<region id="ID0EXPZX" top="556.80000000000007" left="19.200000000000003" height="331.19999999999993" width="331.19999999999993" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white" xml:lang="it">
    <polarPlot xml:lang="it">
      <title class="- topic/title " xml:lang="it" toc="yes" wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
      <legend xml:lang="it" />
      <traces xml:lang="it">
        <trace resultRef="41" xml:lang="it">
          <traceStyle color="#FF00008B" symbol="x" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
      </traces>
      <graph-size width="231.2" height="231.2" xml:lang="it" />
      <axes xml:lang="it">
        <angularAxis rank="1" legend-position="PlotBoundaryBottom" start="0" end="360" xml:lang="it">
          <axisLine position="origin" positionticmark="6" legendWidth="36.1266666666667" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">13</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math resultRef="42" xml:lang="it">
                <id xml:space="preserve" xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">a</id>
              </math>
            </plotEquation>
          </plotEquations>
          <angularDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </angularDomain>
        </angularAxis>
        <radialAxis rank="1" legend-position="PlotBoundaryRight" start="0" end="5" xml:lang="it">
          <axisLine position="origin" positionticmark="2" legendWidth="59.48" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">6</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math resultRef="45" xml:lang="it">
                <id xml:space="preserve" xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">r</id>
              </math>
              <math resultRef="46" xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <radialDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue resultRef="44" xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">0</real>
            </startValue>
            <endValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </radialDomain>
        </radialAxis>
      </axes>
    </polarPlot>
  </plot>
</region>

<region id="ID0EDSZX" top="1036.8000000000002" left="38.400000000000006" height="331.2" width="331.2" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white" xml:lang="it">
    <polarPlot xml:lang="it">
      <title class="- topic/title " xml:lang="it" toc="yes" wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
      <legend xml:lang="it" />
      <traces xml:lang="it">
        <trace resultRef="53" xml:lang="it">
          <traceStyle color="#FF00008B" symbol="x" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
      </traces>
      <graph-size width="231.2" height="231.2" xml:lang="it" />
      <axes xml:lang="it">
        <angularAxis rank="1" legend-position="PlotBoundaryBottom" start="0" end="360" xml:lang="it">
          <axisLine position="origin" positionticmark="6" legendWidth="35.3633333333333" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">13</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math resultRef="54" xml:lang="it">
                <id xml:space="preserve" xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">b</id>
              </math>
            </plotEquation>
          </plotEquations>
          <angularDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </angularDomain>
        </angularAxis>
        <radialAxis rank="1" legend-position="PlotBoundaryRight" start="0" end="5" xml:lang="it">
          <axisLine position="origin" positionticmark="2" legendWidth="67.46" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">6</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math resultRef="57" xml:lang="it">
                <id xml:space="preserve" xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">r2</id>
              </math>
              <math resultRef="58" xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <radialDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue resultRef="56" xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">0</real>
            </startValue>
            <endValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </radialDomain>
        </radialAxis>
      </axes>
    </polarPlot>
  </plot>
</region>