How to implement such function?

Asked by Eray Tunç YILMAZ

Eray Tunç YILMAZ (view profile)

on 23 May 2019
Latest activity Answered by James Tursa

James Tursa (view profile)

on 23 May 2019
I am trying to write a script to implemet a function such as this one
function[output1, output2, ....] = my_function(constant, coefficient_vector, xValue)
where a0=contant, a1=coefficient_vector(1), a2=coefficient_vector(2), ... and so on.
coefficient_vector may vary in size and content i.e it could be [ 1 ] or it could be [ 1 2 1 3 1 ] or [ 0 7 5 0 6 4 .......] positive integers only, without any size restriction. Also, constant could be any integer.
In case of [ 1 ], script should print out f(x) = cos(x). In case of [ 1 1 1 1 1 ], print out f(x) = cos(x) + 2*cos(2*x) + cos(3*x) + 3*cos(4*x) + cos(5*x) and so on...
Then calculate the value of f(xValue)
I have already did it as using symbolic function but the task is to do without symbolics
syms f(x);
f(x)=0;
for i=1:n
f(x) = coeffVector(i) * cos(i*x) + f(x);
end
f(x) = f(x) + constant; So, how can I do this?

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Answer by James Tursa

James Tursa (view profile)

on 23 May 2019

Basically, just replace f(x) with f. E.g.,
f = constant;
:
f = coeffVector(i) * cos(i*x) + f;
You could also do this without a loop.