例:多項式関数

エルミート多項式

1. Her関数を使用して、x のさまざまな値に対してエルミート多項式の値をプロットします。

<region id="ID0ET6JAB" top="153.60000000000002" left="38.400000000000006" height="307.2" width="576" xmlns="http://schemas.mathsoft.com/worksheet50">
 <plot background-type="white" origin-positioning="true">
 <xyPlot>
 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
 <legend />
 <traces>
 <trace resultRef="244">
 <traceStyle color="#FFED1D2F" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="245">
 <traceStyle color="#FF008000" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="246">
 <traceStyle color="#FF0000FF" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="247">
 <traceStyle color="#FF662D91" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 </traces>
 <graph-size width="418.4" height="230.4" />
 <axes>
 <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-2" end="2">
 <axisLine position="origin" positionticmark="3" legendWidth="66.5166666666667" />
 <axisGrid>
 <gridFrequency>3</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="252">
 <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript>
 </id>
 </math>
 <math resultRef="253">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </startValue>
 <secondTickValue resultRef="249">
 <real xmlns="http://schemas.mathsoft.com/math50">0</real>
 </secondTickValue>
 <endValue resultRef="251">
 <real xmlns="http://schemas.mathsoft.com/math50">2</real>
 </endValue>
 </xyDomain>
 </xAxis>
 <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-30" end="30">
 <axisLine position="origin" positionticmark="1" legendWidth="124.143333333333" />
 <axisGrid>
 <gridFrequency>7</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="260">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Her</id>
 <sequence>
 <real>1</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="261">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="262">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Her</id>
 <sequence>
 <real>2</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="263">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="264">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Her</id>
 <sequence>
 <real>3</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="265">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="266">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Her</id>
 <sequence>
 <real>4</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="267">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="255">
 <real xmlns="http://schemas.mathsoft.com/math50">-30</real>
 </startValue>
 <secondTickValue resultRef="257">
 <real xmlns="http://schemas.mathsoft.com/math50">-20</real>
 </secondTickValue>
 <endValue resultRef="259">
 <real xmlns="http://schemas.mathsoft.com/math50">30</real>
 </endValue>
 </xyDomain>
 </yAxis>
 </axes>
 </xyPlot>
 </plot>
</region>

ラゲール多項式

1. Lag関数を使用して、x のさまざまな値に対してラゲール多項式の値をプロットします。

<region id="ID0ETCKAB" top="883.20000000000016" left="38.400000000000006" height="307.20000000000005" width="576.00000000000023" xmlns="http://schemas.mathsoft.com/worksheet50">
 <plot background-type="white" origin-positioning="true">
 <xyPlot>
 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
 <legend />
 <traces>
 <trace resultRef="285">
 <traceStyle color="#FFED1D2F" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="286">
 <traceStyle color="#FF068149" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="287">
 <traceStyle color="#FF2E3192" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="288">
 <traceStyle color="#FF662D91" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 </traces>
 <graph-size width="418.4" height="230.4" />
 <axes>
 <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-1" end="5">
 <axisLine position="origin" positionticmark="2" legendWidth="66.5166666666667" />
 <axisGrid>
 <gridFrequency>7</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="295">
 <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript>
 </id>
 </math>
 <math resultRef="296">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="290">
 <real xmlns="http://schemas.mathsoft.com/math50">-1</real>
 </startValue>
 <secondTickValue resultRef="292">
 <real xmlns="http://schemas.mathsoft.com/math50">0</real>
 </secondTickValue>
 <endValue resultRef="294">
 <real xmlns="http://schemas.mathsoft.com/math50">5</real>
 </endValue>
 </xyDomain>
 </xAxis>
 <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-4" end="4">
 <axisLine position="origin" positionticmark="1" legendWidth="122.943333333333" />
 <axisGrid>
 <gridFrequency>5</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="303">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Lag</id>
 <sequence>
 <real>1</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="304">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="305">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Lag</id>
 <sequence>
 <real>2</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="306">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="307">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Lag</id>
 <sequence>
 <real>3</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="308">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="309">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Lag</id>
 <sequence>
 <real>4</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="310">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="298">
 <real xmlns="http://schemas.mathsoft.com/math50">-4</real>
 </startValue>
 <secondTickValue resultRef="300">
 <real xmlns="http://schemas.mathsoft.com/math50">-2</real>
 </secondTickValue>
 <endValue resultRef="302">
 <real xmlns="http://schemas.mathsoft.com/math50">4</real>
 </endValue>
 </xyDomain>
 </yAxis>
 </axes>
 </xyPlot>
 </plot>
</region>

ルジャンドルの多項式

1. Leg関数を使用して、x のさまざまな値に対してルジャンドルの多項式の値をプロットします。

<region id="ID0ETFKAB" top="1363.2000000000003" left="38.400000000000006" height="307.2" width="576" xmlns="http://schemas.mathsoft.com/worksheet50">
 <plot background-type="white" origin-positioning="true">
 <xyPlot>
 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
 <legend />
 <traces>
 <trace resultRef="329">
 <traceStyle color="#FFED1D2F" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="330">
 <traceStyle color="#FF068149" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="331">
 <traceStyle color="#FF2E3192" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="332">
 <traceStyle color="#FF662D91" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 </traces>
 <graph-size width="418.4" height="230.4" />
 <axes>
 <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-1" end="1">
 <axisLine position="origin" positionticmark="1" legendWidth="66.5166666666667" />
 <axisGrid>
 <gridFrequency>3</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="339">
 <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </math>
 <math resultRef="340">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="334">
 <real xmlns="http://schemas.mathsoft.com/math50">-1</real>
 </startValue>
 <secondTickValue resultRef="336">
 <real xmlns="http://schemas.mathsoft.com/math50">0</real>
 </secondTickValue>
 <endValue resultRef="338">
 <real xmlns="http://schemas.mathsoft.com/math50">1</real>
 </endValue>
 </xyDomain>
 </xAxis>
 <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-1" end="1">
 <axisLine position="origin" positionticmark="1" legendWidth="122.136666666667" />
 <axisGrid>
 <gridFrequency>3</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="347">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Leg</id>
 <sequence>
 <real>1</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="348">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="349">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Leg</id>
 <sequence>
 <real>2</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="350">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="351">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Leg</id>
 <sequence>
 <real>3</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="352">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="353">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Leg</id>
 <sequence>
 <real>4</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="354">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="342">
 <real xmlns="http://schemas.mathsoft.com/math50">-1</real>
 </startValue>
 <secondTickValue resultRef="344">
 <real xmlns="http://schemas.mathsoft.com/math50">0</real>
 </secondTickValue>
 <endValue resultRef="346">
 <real xmlns="http://schemas.mathsoft.com/math50">1</real>
 </endValue>
 </xyDomain>
 </yAxis>
 </axes>
 </xyPlot>
 </plot>
</region>

第 1 種および第 2 種チェビシェフ多項式

1. Tcheb関数を使用して、x のさまざまな値に対して第 1 種チェビシェフ多項式の値をプロットします。

<region id="ID0EFIKAB" top="1824.0000000000002" left="38.400000000000006" height="307.20000000000005" width="577.19999999999993" xmlns="http://schemas.mathsoft.com/worksheet50">
 <plot background-type="white" origin-positioning="true">
 <xyPlot>
 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
 <legend />
 <traces>
 <trace resultRef="371">
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 </trace>
 <trace resultRef="372">
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 </trace>
 <trace resultRef="373">
 <traceStyle color="#FF2E3192" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="374">
 <traceStyle color="#FF662D91" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 </traces>
 <graph-size width="400.4" height="230.4" />
 <axes>
 <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-1" end="1">
 <axisLine position="origin" positionticmark="5" legendWidth="66.5166666666667" />
 <axisGrid>
 <gridFrequency>3</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="377">
 <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </math>
 <math resultRef="378">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </startValue>
 <secondTickValue resultRef="376">
 <real xmlns="http://schemas.mathsoft.com/math50">0</real>
 </secondTickValue>
 <endValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </endValue>
 </xyDomain>
 </xAxis>
 <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-1" end="1">
 <axisLine position="origin" positionticmark="1" legendWidth="137.8" />
 <axisGrid>
 <gridFrequency>11</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="379">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Tcheb</id>
 <sequence>
 <real>1</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="380">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="381">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Tcheb</id>
 <sequence>
 <real>2</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="382">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="383">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Tcheb</id>
 <sequence>
 <real>3</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="384">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="385">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Tcheb</id>
 <sequence>
 <real>4</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="386">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </startValue>
 <endValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </endValue>
 </xyDomain>
 </yAxis>
 </axes>
 </xyPlot>
 </plot>
</region>

2. Ucheb関数を使用して、x のさまざまな値に対して第 2 種チェビシェフ多項式の値をプロットします。

<region id="ID0EKKKAB" top="2265.6000000000004" left="38.400000000000006" height="307.2" width="595.2" xmlns="http://schemas.mathsoft.com/worksheet50">
 <plot background-type="white" origin-positioning="true">
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 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
 <legend />
 <traces>
 <trace resultRef="398">
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 </trace>
 <trace resultRef="399">
 <traceStyle color="#FF068149" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="400">
 <traceStyle color="#FF2E3192" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="401">
 <traceStyle color="#FF662D91" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 <trace resultRef="402">
 <traceStyle color="#FF000000" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
 </traces>
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 <axes>
 <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-1" end="1">
 <axisLine position="origin" positionticmark="3" legendWidth="66.5166666666667" />
 <axisGrid>
 <gridFrequency>5</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="405">
 <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </math>
 <math resultRef="406">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </startValue>
 <secondTickValue resultRef="404">
 <real xmlns="http://schemas.mathsoft.com/math50">-0.50</real>
 </secondTickValue>
 <endValue>
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </endValue>
 </xyDomain>
 </xAxis>
 <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-6" end="6">
 <axisLine position="origin" positionticmark="2" legendWidth="138.516666666667" />
 <axisGrid>
 <gridFrequency>7</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="413">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Ucheb</id>
 <sequence>
 <real>1</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="414">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="415">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Ucheb</id>
 <sequence>
 <real>2</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="416">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="417">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Ucheb</id>
 <sequence>
 <real>3</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="418">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="419">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Ucheb</id>
 <sequence>
 <real>4</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="420">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="421">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Ucheb</id>
 <sequence>
 <real>5</real>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">3</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="422">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 </plotEquations>
 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="408">
 <real xmlns="http://schemas.mathsoft.com/math50">-6</real>
 </startValue>
 <secondTickValue resultRef="410">
 <real xmlns="http://schemas.mathsoft.com/math50">-4</real>
 </secondTickValue>
 <endValue resultRef="412">
 <real xmlns="http://schemas.mathsoft.com/math50">6</real>
 </endValue>
 </xyDomain>
 </yAxis>
 </axes>
 </xyPlot>
 </plot>
</region>

ヤコビの多項式

1. Jac関数を使用して、パラメータ a および b で x のさまざまな値に対してヤコビの多項式の値をプロットします。

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 <graph-size width="399.187878787879" height="230.4" />
 <axes>
 <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-1.5" end="1.5">
 <axisLine position="origin" positionticmark="2" legendWidth="66.5166666666667" />
 <axisGrid>
 <gridFrequency>4</gridFrequency>
 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
 </axisGrid>
 <axisLabel />
 <markers />
 <plotEquations>
 <plotEquation>
 <math resultRef="453">
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 <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
 <axisLine position="origin" positionticmark="2" legendWidth="152.25" />
 <axisGrid>
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 <gridLabels display="true" />
 <gridLines />
 <tickMarks display="true" />
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 <axisLabel />
 <markers />
 <plotEquations>
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 <math resultRef="461">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Jac</id>
 <sequence>
 <real>1</real>
 <id xml:space="preserve">a</id>
 <id xml:space="preserve">b</id>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">4</Subscript>
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 <math resultRef="462">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
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 </plotEquation>
 <plotEquation>
 <math resultRef="463">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Jac</id>
 <sequence>
 <real>2</real>
 <id xml:space="preserve">a</id>
 <id xml:space="preserve">b</id>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">4</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="464">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
 <plotEquation>
 <math resultRef="465">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Jac</id>
 <sequence>
 <real>3</real>
 <id xml:space="preserve">a</id>
 <id xml:space="preserve">b</id>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">4</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="466">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
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 </plotEquation>
 <plotEquation>
 <math resultRef="467">
 <apply xmlns="http://schemas.mathsoft.com/math50">
 <id xml:space="preserve">Jac</id>
 <sequence>
 <real>4</real>
 <id xml:space="preserve">a</id>
 <id xml:space="preserve">b</id>
 <id xml:space="preserve">
 x<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">4</Subscript>
 </id>
 </sequence>
 </apply>
 </math>
 <math resultRef="468">
 <placeholder xmlns="http://schemas.mathsoft.com/math50" />
 </math>
 </plotEquation>
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 <xyDomain scale-type="linear" auto-scale="true">
 <startValue resultRef="456">
 <real xmlns="http://schemas.mathsoft.com/math50">-10</real>
 </startValue>
 <secondTickValue resultRef="458">
 <real xmlns="http://schemas.mathsoft.com/math50">-5</real>
 </secondTickValue>
 <endValue resultRef="460">
 <real xmlns="http://schemas.mathsoft.com/math50">10</real>
 </endValue>
 </xyDomain>
 </yAxis>
 </axes>
 </xyPlot>
 </plot>
</region>