1 変数関数と 2 変数関数の 3D プロットの比較

プロット > 3D プロット > 1 変数関数と 2 変数関数の 3D プロットの比較

1 変数関数または 2 変数関数を 3D プロット領域にプロットできます。

このトピックでは、このような関数のプロットを比較します。

1 変数関数のプロット

1 変数関数 f1(x) を定義してプロットします。

f1(x) に対するデフォルトの 3D プロットは左側で、直線のトレースが示されています。右側のプロットは同じプロットですが、トレースが実際に直線であることを確かめるために回転されています。

デフォルトの軸位置	回転された軸
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デフォルトの軸位置

回転された軸

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        <trace3D resultRef="174" num-of-points="41">
          <traceStyle color="#FFED1D2F" automaticStyle="true">curve</traceStyle>
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      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <axes>
        <xAxis rank="1" start="-10" end="10">
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            <endValue />
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        <yAxis rank="1" start="-1" end="1">
          <axisLine />
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            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
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          <math>
            <placeholder xmlns="http://schemas.mathsoft.com/math50" />
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          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
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          <Cell>1</Cell>
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          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
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      <traces>
        <trace3D resultRef="177" num-of-points="41">
          <traceStyle color="#FF2E3192" automaticStyle="true">curve</traceStyle>
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      </traces>
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <axes>
        <xAxis rank="1" start="-10" end="10">
          <axisLine />
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          <axisLine />
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            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
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          <axisLabel />
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        <plotEquation>
          <math>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f1</id>
          </math>
          <math>
            <placeholder xmlns="http://schemas.mathsoft.com/math50" />
          </math>
        </plotEquation>
      </plotEquations>
      <CameraTransformMatrix Columns="4" Rows="4">
        <Cells>
          <Cell>0.97392039271312958</Cell>
          <Cell>0.0042824428894279939</Cell>
          <Cell>0.22684957425660363</Cell>
          <Cell>0</Cell>
          <Cell>-0.070292004431413369</Cell>
          <Cell>0.95632519314437225</Cell>
          <Cell>0.28372726176804614</Cell>
          <Cell>0</Cell>
          <Cell>-0.21572691712096964</Cell>
          <Cell>-0.29227347748346583</Cell>
          <Cell>0.93168562916318742</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
</region>

次に示すように、3D 領域への 1 変数関数 f1(x) のプロットは、1 変数のみを指定した 2 変数関数 f2(u,v) のプロットと同じです。

デフォルトの軸位置	回転された軸
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デフォルトの軸位置

回転された軸

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      <traces>
        <trace3D resultRef="182" num-of-points="41">
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            <startValue />
            <endValue />
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        </xAxis>
        <yAxis rank="1" start="-1" end="1">
          <axisLine />
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            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
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            <tickMarks display="true" />
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          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
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          <math>
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          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
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        <trace3D resultRef="185" num-of-points="41">
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          <axisLine />
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            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
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            <startValue />
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      <plotEquations>
        <plotEquation>
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            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f2</id>
          </math>
          <math>
            <placeholder xmlns="http://schemas.mathsoft.com/math50" />
          </math>
        </plotEquation>
      </plotEquations>
      <CameraTransformMatrix Columns="4" Rows="4">
        <Cells>
          <Cell>0.97392039271312958</Cell>
          <Cell>0.0042824428894279939</Cell>
          <Cell>0.22684957425660363</Cell>
          <Cell>0</Cell>
          <Cell>-0.070292004431413369</Cell>
          <Cell>0.95632519314437225</Cell>
          <Cell>0.28372726176804614</Cell>
          <Cell>0</Cell>
          <Cell>-0.21572691712096964</Cell>
          <Cell>-0.29227347748346583</Cell>
          <Cell>0.93168562916318742</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
</region>

2 変数関数のプロット

1 つの変数を使用して、2 変数関数 f3(x,y) を定義します。

f3(x,y) に対するデフォルトの 3D プロットは左側で、平面が示されています。右側のプロットは同じプロットですが、トレースが実際に平面であることを確かめるために回転されています。

デフォルトの軸位置	回転された軸
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デフォルトの軸位置

回転された軸

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次に示すように、3D 領域への 1 変数関数 f3(x,y) のプロットは、2 つの変数を指定した 2 変数関数 f4(u,v) のプロットと同じです。

デフォルトの軸位置	回転された軸
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デフォルトの軸位置

回転された軸

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