tributive and associative properties to the product of sums of powers. The order

of the product is given by the sum of the orders of the polynomial operands,

and the k-th coefficient of the product is obtained by the coefficients a

of indices i, j that sum up to k.

damental in digital signal processing.

a direction (e.g., forces or velocities). These arrows, sometimes called vectors,

are oriented according to the direction of the physical quantity and their length

is proportional to the intensity. These vectors can be located in the plane (or

the 3D space) as if they were departing from the origin. In this way, they can be

represented by the couple (or triple) of coordinates of their second extremity.

This representation allows to perform the sum of vectors and the multiplication

of a vector by a constant as the usual algebraic operations done with each

separate coordinate: