"4.1 explain, for polynomial and simple rational functions, the difference between the solution to an equation in one variable and the solution to an inequality in one variable, and demonstrate that ...

A rational function is just a quotient of two polynomials. By finding the zeros of the numerator you can locate the zeros of the rational function. By finding the zeros of the denominator you can ...

Abstract: It is shown that if a rational function F (s) does not change when 1/ s is substituted instead of s then F (s) is the rational function of s + (1/ s). If the transfer function is a ratio of ...

Rational Activations are a novel learnable activation functions. Rationals encode activation functions as rational functions, trainable in an end-to-end fashion using backpropagation and can be ...

Abstract: This paper presents a new methodology for synthesis of broadband equivalent circuits for multi-port high speed interconnect systems from numerically obtained and/or measured frequency-domain ...

Proceedings of the American Mathematical Society, Vol. 139, No. 11 (NOVEMBER 2011), pp. 4063-4072 (10 pages) We prove two results with regard to rational inner functions in the Schur-Agier class of ...