GNU Octave

Time for action – putting together mathematical functions

1. Let us try to calculate the range of the function:
   

   (3.3)

   octave:12> x = 0.5;
   
   octave:13> f = exp(-5*sqrt(x))*sin(2*pi*x)
   
   f = 3.5689e-018
   

2. In a more useful vector form:

   octave:14> x = [0:0.1:1];
   
   octave:15> f = exp(-5*sqrt(x)).*sin(2*pi*x)
   
   f =
     Columns 1  through   7:
   0.00000    0.12093   0.10165   0.01650  0.02488  0.00000  -0.01222
     Columns 8  through  11:
   -0.01450  -0.01086  -0.00512  -0.00000
   

What just happened?

It should be clear what Commands 12 and 13 do. In Command 15, we must use the element-wise .* operator. Had we not done so, Octave would try to perform a matrix multiplication between the vectors given ...