In numpy how would be convert values internally

Question

I am new to numpy library.
How values are converted to get below output and internally how the values are changed?

 >>> np.convolve([1, 2, 3], [0, 1, 0.5])

     o/p: array([ 0. ,  1. ,  2.5,  4. ,  1.5])

Answer 1

np.convolve(a, v, mode='full') function just pushes the first array a sliding on the second array v step by step from left to right. On every step, we just calculate v[i]*a and get v[i]a[0], v[i]a[1], ..., v[i]a[n]. We get len(v) arrays/lists, adding them together.

The result of np.convolve([1, 2, 3], [0, 1, 0.5]) is calculated as following:
step 1:

  1,  2,  3    
          0,  1, 0.5  
a=0,  0,  0,

step two:

      1,  2,  3 
          0,  1, 0.5  
b=0,  1,  2,  3,  

step three:

           1,  2,   3 
           0,  1, 0.5  
c=0,  0, 0.5,  1, 1.5

finally, adding a, b, and c:

  0,  0,   0,  
+ 0,  1,   2,  3,   
+ 0,  0, 0.5,  1, 1.5
  -------------------
= 0,  1, 2.5,  4, 1.5