Introduction: The domain of a function is the set of all possible input values (x-values) for which the function is defined. Understanding the domain is crucial for solving mathematical problems and ...

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others. You’re sitting at the end of a long conference table, ...

A horizontal asymptote is a horizontal line that a function approaches as the input variable (usually denoted as x) goes towards infinity or negative infinity. Understanding how to find horizontal ...

How an input series enters the model is called its transfer function. Thus, ARIMA models with input series are sometimes referred to as transfer function models. In the preceding regression and ...

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 ...

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 ...

For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...

Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria, P.O. Box 35285, Menlo Park, Pretoria 0102, South Africa Article Views are the COUNTER-compliant sum of full ...