How to select a column with a specific value of interest and include it into equations.

How can i write the equation below into matlab? Alpha is given and Vinfinity is also given. The part that i'm confused about is the si, si-1, thetai and thetai-1. I have a list of 100 values in a column and i want to write a code that selects a value that i will enter to be selected as si. Then whatever row in that column that value was it will minus the value in the previous row (this will be si-1). Same principle for the theta's. Please see below for the equation.

Answer 1

[Matt J]

f=@(t) sqrt(t-t.^2);

theta=acos(1-2*s);
G=alpha*Vinfinity*diff(theta+2*f(s));

[Avenger2020]

I'm still a bit not clear.

Lets say i have a matrix and i want to extract the value 0.5 as si. How would that fit into this equation? Also i don't see the sqrt(si-1-si-1^2) part of the equation

a= linspace(0,1,100);

[Matt J]

The code I gave you computes Gi for all i, given your input vector s.

[Avenger2020]

I'm so confused. Is vector s suppose to be 1-100? and what does the f=@(t) mean?

[Matt J]

Yes, s is meant to be a vector of length 100, or however many values you have. The result, G, will be a length-99 vector because there are ninety-nine differences . The expression,

f=@(t) sqrt(t-t.^2);

is an anonymous function. It is just a quick way of defining a short function. In hindsight, I could just as well have written,

theta=acos(1-2*s);
G=alpha*Vinfinity*diff(theta+2*sqrt(s-s.^2));