The document describes the construction of a support vector machine (SVM) that calculates the kernel function using four input-output pairs: [1, 1] (negative), [1, +1] (positive), [+1, 1] (positive), and [+1, +1] (negative). It involves mapping the inputs into a new space defined by x1 and x1x2, plotting the input points, and identifying the maximum margin separator. The document also inquires about the value of the margin.