... convolution integrals, and Fourier or Laplacetransforms, all of which are standard fare in present-day electrical and computer engineering curricula. Engineering past Engineering present Engineering futureChristopher ... If x ∈ X and a ∈ K, then the product of a and x is ax,andax ∈ X.(V7) If x, y ∈ X,anda ∈ K, then a(x + y) = ax +ay.(V8) If a, b ∈ K,andx ∈ X, then (a + b)x = ax +bx.(V9) If a, b ∈ K,andx ∈ X, ... understanding of functional analysis is a tremendousaid to understanding other subjects such as quantum physics, probability theory and random processes, digital communications system analysis and...