Tropical geometry has recently found several applications in the analysis of neural networks with piecewise linear activation functions. This article presents a new look at the problem of tropical ...

Polynomial division can also be performed when there is a remainder. In such cases, the remainder can be written as a term divided by the divisor, forming a rational expression.

This letter introduces a novel method for decomposing high-order filter transfer matrices using the Bezout theorem, ensuring numerical stability. By employing polynomial division and remainder ...

Abstract We propose an unbounded fully homomorphic encryption scheme, i.e. a scheme that allows one to compute on encrypted data for any desired functions without needing to decrypt the data or ...

Arbitrary precision rational number class Here is the class signature, so you can see what it supports, but suffice it to say it supports all the typical arithmetic operations one would expect from an ...

Learn what the remainder theorem is, how to prove it, and how to apply it to polynomial division problems.

In the polynomial division, the original data forms the input polynomial, a predefined polynomial serves as the divisor, and the remainder polynomial gives the final check value. An n -bit CRC ...