Within this framework, polynomial threshold functions ... A significant development is the design of improved #SAT algorithms for small constant-depth Boolean circuits composed of PTF gates.

Hermite polynomials: A sequence of orthogonal polynomials associated with the weight function exp(–x²), widely used in probability, physics and signal analysis.

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that ...

A new activation function called Polynomial Linear Unit (PolyLU) is proposed in this paper to improve some of the shortcomings of the existing activation functions. The PolyLU meets the following ...

Your core self may have a home: the Default Mode Network. This marvel of nature creates your sense of self, runs an inner simulation of consciousness, and may hold keys to healing.

This paper proves the existence of polynomial Lyapunov functions for rationally stable vector fields. For practical purposes the existence of polynomial Lyapunov functions plays a significant role ...

Reality is reality and fantasy is fantasy. Pretending fantasy is reality only works insofar as others are willing to tolerate ...

Scientific American is the essential guide to the most awe-inspiring advances in science and technology, explaining how they change our understanding of the world and shape our lives.

Pure Julia Implementation of Geometrically Exact Beam Theory. Author: Taylor McDonnell. GXBeam is a pure Julia implementation of Geometrically Exact Beam Theory, originally based on the open source ...

poly_add() – Returns the polynomial sum of adding two polynomials. poly_roots() – Returns all complex valued roots of the given real polynomial. real_roots() – Returns all real roots of the given real ...