Abstract: Nowadays, the resistance against algebraic attacks and fast algebraic attacks are considered as an important cryptographic property for Boolean functions used in stream ciphers. Both attacks ...

Abstract: In this paper we introduce and study the algebraic generalization of non commutative convolutional neural networks. We leverage the theory of algebraic signal processing to model ...

American Journal of Mathematics, Vol. 79, No. 4 (Oct., 1957), pp. 825-856 (32 pages) ...

One of the main open problems of mathematical physics is to consistently quantize Yang–Mills gauge theory. If such a consistent quantization were to exist, it is reasonable to expect a “Wightman ...

We study the Wigner Function in non-commutative quantum mechanics. By solving the time independent Schr\'{o}dinger equation both on a non-commutative (NC) space and a non-commutative phase space, we ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

The algebraic mind : integrating connectionism and cognitive science by Marcus, Gary F. (Gary Fred) Publication date 2001 Topics Mental representation, Cognition, Connectionism, Cognitive science ...

Thank you so much for helping us close out our 2025 fundraiser. With your support, we'll accomplish even more in 2026. Have a wonderful New Year, and enjoy the archive! By submitting, you agree to ...

Earlier this month the Mathematics Institute at Uppsala University hosted a conference called Categorification in Algebra and Topology, clearly a theme close to our collective heart. As yet there are ...

Our work group represents the fields of operator algebras and noncommutative geometry in teaching and research. The current focus of our research is structure of C * algebras and more general ...

Dec 7, 2025 There are two ways to stick SU(2) × SU(3) in Spin(10). One is good for physics; the other, alas, is easily obtained using the octonions.

Exercise is important for keeping the musculoskeletal system healthy. Bones support the body and protect vital organs. Skeletal muscles help move parts of the body by contracting. The musculoskeletal ...