Results 61 to 70 of about 268,040 (278)
AI in chemical engineering: From promise to practice
AIChE Journal, EarlyView.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
wiley +1 more source
Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
doaj +1 more source
Acoustic realization of projective mirror Chern insulators
Communications Physics, 2023 Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological ...
Tianzi Li +3 more
doaj +1 more source
AIChE Journal, EarlyView.Abstract In pharmaceutical industries, continuous manufacturing methods have already been well established to improve productivity and process intensification. However, to better understand the trade‐offs of continuous crystallizers over the existing batch production systems, a robust technoeconomic cost and sustainability analysis is necessary to ...
Jungsoo Rhim, Zoltan K. Nagy
wiley +1 more source
RELATIVE COMPLETE REDUCIBILITY AND NORMALIZED SUBGROUPS
Forum of Mathematics, Sigma, 2020 We study a relative variant of Serre’s notion of $G$-complete reducibility for a reductive algebraic group $G$. We let $K$ be a reductive subgroup of $G$, and consider subgroups of $G$ that normalize the identity component $K^{\circ }$. We show that such
MAIKE GRUCHOT +2 more
doaj +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Free W*-Dynamical Systems From p-Adic Number Fields and the Euler Totient Function
Mathematics, 2015 In this paper, we study relations between free probability on crossed product W * -algebras with a von Neumann algebra over p-adic number fields
Ilwoo Cho, Palle E. T. Jorgensen
doaj +1 more source
Deterministic Algorithms for Solving Boolean Polynomial Equations Based on Channel Coding Theory
IEEE Access, 2020 Solving the satisfiability problems of Boolean polynomial equations is still an open challenge in the fields of mathematics and computer science.
Guangfu Wu +5 more
doaj +1 more source
Equidistribution of Algebraic Numbers of Norm One in Quadratic Number Fields [PDF]
, 2010 Given a fixed quadratic extension K of Q, we consider the distribution of elements in K of norm 1 (denoted N). When K is an imaginary quadratic extension, N is naturally embedded in the unit circle in C and we show that it is equidistributed with respect
Petersen, Kathleen L. +1 more
core
On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
doaj +1 more source