예제: 제1종 베셀 함수

함수 > 특수 함수 > 베셀 함수 > 예제: 제1종 베셀 함수

예제: 제1종 베셀 함수

J0, J1 및 Jn 함수 간의 관계를 보여줍니다. 또한 이러한 함수와 해당 함수의 배율 적용된 버전 간의 관계도 보여줍니다.

1. 두 단계 범위 변수를 정의합니다.

2. J0 및 J1 함수를 도표화합니다. 2차 함수 Jn을 도표에 추가합니다.

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3. J0(y)=Jn(0,y)를 표시하는 도표를 만듭니다. 자세히 살펴보기 위해 X축을 확대하는 틱 표시 값을 재설정합니다.

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4. J1(y)=Jn(1,y)를 표시하는 도표를 만듭니다. 자세히 살펴보기 위해 X축을 확대하는 틱 표시 값을 재설정합니다.

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5. 기호 연산을 사용하여 제1종 베셀 함수와 배율 적용된 버전 간의 관계를 표시합니다.

6. 다음을 표시하는 도표를 만듭니다.

J0.sc는 복소수 요소를 포함하므로 먼저 Re 함수를 적용하여 숫자의 실수부만 표시합니다.

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7. J1의 첫 두 피크의 좌표를 계산합니다. augment 및 localmax 함수를 사용하여 지정된 범위 안에 있는 피크를 식별합니다.

localmax 함수에는 열이 두 개인 입력 행렬이 필요합니다. 함수 augment가 이러한 행렬을 만드는 데 사용됩니다.

8. match 함수를 사용하여 피크의 수평 좌표를 구합니다. TOL 값을 줄여 더 정확한 결과를 구합니다.

9. 도표에 첫 두 피크를 표시하는 마커를 추가합니다.

단계 범위 변수의 단계는 0.1입니다. 즉, 함수 match로 식별된 요소 지수의 1/10 또는 각각 1.8 및 8.5에서 피크가 발생한다는 의미입니다.

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