The Math behind Neural Networks: Part 1 - The Rosenblatt Perceptron

In it we said the perceptron takes some input value \([x_1, x_2, ..., x_i, ..., x_n]\), also called features, some weights \([w_1, w_2, ..., w_i, ..., w_n]\), multiplies them with each other and takes the sum of these multiplications: This is the definition of a Linear Combination: it is the sum of some terms multiplied by constant values. In our case the terms are the features and the constants are the weights.