예제: 다항 함수

에르미트 다항식

1. Her 함수를 사용하여 여러 x 값에서 에르미트 다항식의 값을 도표화합니다.

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 <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>
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 <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>

라게르 다항식

1. Lag 함수를 사용하여 여러 x 값에서 라게르 다항식의 값을 도표화합니다.

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 <xyPlot>
 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
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 <trace resultRef="287">
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 <trace resultRef="288">
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 <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>

르장드르 다항식

1. Leg 함수를 사용하여 여러 x 값에서 르장드르 다항식의 값을 도표화합니다.

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 <trace resultRef="330">
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 <trace resultRef="331">
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 <trace resultRef="332">
 <traceStyle color="#FF662D91" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle>
 </trace>
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 <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>
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 <real xmlns="http://schemas.mathsoft.com/math50">1</real>
 </endValue>
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 </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>

제1종 및 제2종 체비셰프 다항식

1. Tcheb 함수를 사용하여 여러 x 값에서 제1종 체비셰프 다항식의 값을 도표화합니다.

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 <xyPlot>
 <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
 <legend />
 <traces>
 <trace resultRef="371">
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 <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 함수를 사용하여 여러 x 값에서 제2종 체비셰프 다항식의 값을 도표화합니다.

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 <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>
 <graph-size width="418.4" height="230.4" />
 <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" />
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 <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">
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야코비 다항식

1. Jac 함수를 사용하여 여러 x 값에서 매개변수가 a 및 b인 야코비 다항식을 도표화합니다.

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