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How to perform differentiation in MATLAB?

조회 수: 2 (최근 30일)
ANANTA BIJOY BHADRA
ANANTA BIJOY BHADRA 2022년 9월 14일
답변: Ganesh Gudipati 2022년 9월 21일
I have the following function.
The F is a 1*4 matrix and it is given. w=2*pi*f where f=50 Hz. I need to find out the value of i. How can I write the code in MATLAB?
  댓글 수: 24
Torsten
Torsten 2022년 9월 16일
편집: Torsten 2022년 9월 16일
It's the general convention - the independent variable (limit of integration) is always x (or t).
The form of integral is often used in measure theory where integration usually is with respect to general measures, not only with respect to Lebesgue-measure (which is the usual integration (dx)).
E.g. for a random variable X with cumulative distribution function F(x), one often writes
P(X<=x) = integral_{y=-oo}^{y=x} dF(y)
which means
P(X<=x) = integral_{y=-oo}^{y=x} f(y) dy
where f = F' is the probability density function of the random variable X.
But I doubt that the OP had this in mind - in my opinion, omega*t is just meant as one compact integration variable u:
integral_{omega*t=0}^{omega*t=pi/2} i^2(omega*t) d(omega*t) = integral_{u=0}^{u=pi/2} i^2(u) du
Torsten
Torsten 2022년 9월 16일
Maybe you could show us how you compute F given i
(e.g. for your example F=[0 0.4409 1.1809 3.1570], i=[0 0.6235 2.7238 7.2487]) )

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답변 (1개)

Ganesh Gudipati
Ganesh Gudipati 2022년 9월 21일
Hi,
You can rewrite the equation you have in order to find "i". Then you use diff function.
Since "F" is an array in this case you have to perform for each element individually. So "i" will also end up as an array.
You can refer the Differentiation documentation.
I hope this resolves your issue.
Thanks.

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