Spigelian Line

Spigelian line ***Spigelian lines*** are critical lines for a given function, in particular for a quadratic function or a polynomial in general. The line is named after the German mathematician Victor Spigel, who was the first to describe its properties. History of the discovery Spigelius, by describing the critical values ​​of functions, revolutionized mathematics in the early and mid-19th century. In particular, his work concerned critical values ​​for rational functions. Spigelius showed that the critical values ​​for a rational differential equation with a rational function depend on the coefficients and powers of the numerator and denominator. It was found that the curve is a hyperbola or ellipse intersected by pairs of axes, and a tangent to it can be constructed at any angle using the two values ​​f(x) and f'(x). Using a Function In computer science, functions with critical lines are used to find global maxima or minima. For this purpose the function