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How to perform differentiation in MATLAB?

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ANANTA BIJOY BHADRA
ANANTA BIJOY BHADRA le 14 Sep 2022
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?
  24 commentaires
Torsten
Torsten le 16 Sep 2022
Modifié(e) : Torsten le 16 Sep 2022
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 le 16 Sep 2022
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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Réponses (1)

Ganesh Gudipati
Ganesh Gudipati le 21 Sep 2022
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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