조건 명령

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조건 명령

이 글은 GeoGebra 명령 에 관한 것입니다.

명령 분류 (모든 명령)

• 대수
• 차트
• 원뿔곡선(이차곡선)
• 이산수학
• 함수와 미적분
• 기하
• GeoGebra
• 리스트
• 논리
  • 세기조건
  • 조건
  • 정의여부
  • 영역포함여부
  • 정수여부
  • 유지조건
  • 관계
• 최적화 명령
• 확률
• 스크립트 명령
• 스프레드시트
• 통계
• 텍스트
• 변환
• 벡터와 행렬
• CAS 전용 명령

If( <Condition>, <Then> )

Yields a copy of the object Then if the condition evaluates to true, and an undefined object if it evaluates to false.

예:

• Let n = 3. If(n==3, x + y = 4) yields line x + y = 4, because the condition on number n is met.
• Let n = 4. If(n==3, x + y = 4) creates an undefined object, because the condition on number n is not met .

If( <Condition>, <Then>, <Else> )

Yields a copy of object Then if the condition evaluates to true, and a copy of object Else if it evaluates to false. Both objects must be of the same type.

예: Let n be a number. If(n==3, x + y = 4, x - y = 4) yields line x + y = 4 when n = 3, and line x - y = 4 for all n not equal to 3.

If( <Condition 1>, <Then 1>, <Condition 2>, <Then 2>, ... , <Else (optional)> )

Yields a copy of "Then 1" when first condition is satisfied, "Then 2" if second condition is satisfied etc. If none of the conditions are satisfied and Else is given, this command yields a copy of Else. Otherwise undefined is returned.

예: If(a ≟ 1, "Matthew", a ≟ 2,"Larry", a ≟ 3, "Vivian", "Alex") When a=1 this returns the text "Matthew", for a=2' it returns "Larry", for a=3 "Vivian" and for all other values of a it yields "Alex".

Conditional Functions

The If command can be used to create conditional functions. Such conditional functions may be used as arguments in any command that takes a function argument, such as Derivative, Integral, and Intersect.

예:

• f(x) = If(x < 3, sin(x), x^2) yields a piecewise function that equals sin(x) for x < 3 and x² for x ≥ 3.
• f(x) = If(0 <= x <= 3, sin(x)) yields a function that equals sin(x) for x between 0 and 3 (and undefined otherwise).

노트: A shorter syntax for this is f(x) = sin(x), 0 <= x <= 3

• f(x) =If(x<-1,x²,-1<=x<=1,1,-x²+2) yields the piecewise function f(x) = \left\{\begin{matrix}{} x^{2}& : &x < -1\\ 1& :& -1 ≤ x ≤ 1\\ -x^{2} + 2& : &\text{otherwise} \end{matrix}\right .

노트:

• Derivative of If(condition, f(x), g(x)) gives If(condition, f'(x), g'(x)). It does not do any evaluation of limits at the critical points.
• See section: Boolean values for the symbols used in conditional statements.

If Command in Scripting

If command can be used in scripts to perform different actions under certain conditions.

예: Let n be a number, and A a point. The command If(Mod(n, 7) == 0, SetCoords(A, n, 0), SetCoords(A, n, 1)) modifies the coordinates of point A according to the given condition. In this case it would be easier to use SetCoords(A, n, If(Mod(n, 7) == 0,0,1)).

노트: Arguments of If must be Objects or Scripting Commands, not assignments. Syntax b = If(a > 1, 2, 3) is correct, but b = 2 or b = 3 would not be accepted as parameters of If.