예제: 제2종 수정 베셀 함수

함수 > 특수 함수 > 베셀 함수 > 예제: 제2종 수정 베셀 함수

예제: 제2종 수정 베셀 함수

K0, K1 및 Kn 함수 간의 관계를 보여줍니다. 또한 이러한 함수와 해당 함수의 배율 적용된 버전 간의 관계도 보여줍니다.

1. 두 단계 범위 변수를 정의합니다.

2. K0 및 K1 함수를 도표화합니다. 2차 함수 Kn을 도표에 추가합니다.

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3. 5차 및 8차 함수 Kn을 도표화합니다.

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• Kn 함수의 차수가 높을수록 함수가 오른쪽으로 더 많이 이동합니다.

• Kn 함수의 모든 차수는 x=0에서 무한대에 근접합니다.

4. m에서 작은 차이가 있는 함수 Kn을 도표화하여 같은 속도로 무한에 근접함을 보여줍니다.

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5. K0(y)=Kn(0,y)를 표시하는 도표를 만듭니다. 자세히 살펴보기 위해 X축을 확대하는 틱 표시 값을 재설정합니다.

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6. K1(y)=Kn(1,y)를 표시하는 도표를 만듭니다. 자세히 살펴보기 위해 X축을 확대하는 틱 표시 값을 재설정합니다.

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7. 기호 연산을 사용하여 각 함수와 배율 적용된 버전 간의 관계를 보여줍니다.

8. 다음을 표시하는 도표를 만듭니다.

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          <traceStyle color="#FF662D91" symbol="circle" line-weight="1" line-style="None">lines</traceStyle>
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        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="0" end="5">
          <axisLine position="origin" positionticmark="0" legendWidth="60.74" />
          <axisGrid>
            <gridFrequency>6</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <plotEquations>
            <plotEquation>
              <math resultRef="404">
                <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">y</id>
              </math>
              <math resultRef="405">
                <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="403">
              <real xmlns="http://schemas.mathsoft.com/math50">1</real>
            </secondTickValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="0" end="2">
          <axisLine position="origin" positionticmark="0" legendWidth="119.66" />
          <axisGrid>
            <gridFrequency>3</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <plotEquations>
            <plotEquation>
              <math resultRef="412">
                <apply xmlns="http://schemas.mathsoft.com/math50">
                  <mult />
                  <apply>
                    <id labels="FUNCTION" xml:space="preserve">K0</id>
                    <id xml:space="preserve">y</id>
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                  <apply>
                    <pow />
                    <id xml:space="preserve">e</id>
                    <id xml:space="preserve">y</id>
                  </apply>
                </apply>
              </math>
              <math resultRef="413">
                <placeholder xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation>
              <math resultRef="414">
                <apply xmlns="http://schemas.mathsoft.com/math50">
                  <id labels="FUNCTION" xml:space="preserve">K0.sc</id>
                  <id xml:space="preserve">y</id>
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              </math>
              <math resultRef="415">
                <placeholder xmlns="http://schemas.mathsoft.com/math50" />
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            </plotEquation>
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      </axes>
    </xyPlot>
  </plot>
</region>

제2종 수정 베셀 함수에는 피크가 없습니다.