Question

2. (15 pts) Let b (1) n! 20 1) (5pts) Compute b and b 2) (5pts)Let Sb and S-b find the least N in natural numer s.t k-1 S -S 0.01 3) (5pts) Plot the constant function which image is S and plot the graph of Sn where n is from 1 to N(from 2-2)

MATLAB ONLY

MATLAB ONLY

Answer 1

Try using diff(S,1,dim) to get the difference between sequential elements in the matrix S. Each entry in diff(S) is (x_{n} - x_{n-1}, y_{n} - y_{n-1}, z_{n} - z_{n-1}). Then you can square each element of diff(S): (diff(S)).^2. Finally, sum and take the square root: sqrt(sum(diff(S)).^2),dim). In each of these cases, dim is the dimension along which the operation is to take place. So, for the sake of discussion, let's assume S is nx3 (n columns and 3 rows).

diffS = diff(S,1,1);

squaredDiffS = diff.^2;

output = sqrt(sum(squaredDiffS,2));

The output of this code is (n-1)x1, because one column is lost in the diff command.