What does the convolution operation do for two vectors?

Question

Neural networks

In the literature on neutron networks I read:

During operation, each neuron of the recognition layer computes the convolution of the eigenweight vector and the input vector C. The neuron with weights closest to the vector C will have the largest output, thereby winning the competition and simultaneously slowing down all other neurons in the layer.

What does this operation do? How can it be programmed?
vector of own weights - vector of real numbers
vector C - vector containing only zeros or ones

Answer 1

sum = 0
for i = 1 to K
  sum += C[i]*N[i]