Results 61 to 70 of about 250,497 (280)
A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
AIChE Journal, EarlyView.Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
wiley +1 more source
Electronic Journal of Differential Equations, 2019 We classify the phase portraits of quadratic polynomial differential systems having some relevant classic quartic algebraic curves as invariant algebraic curves, i.e. these curves are formed by orbits of the quadratic polynomial differential system.
Rebiha Benterki, Jaume Llibre
doaj
C∗-algebraic Gauss-Lucas Theorem and C∗-algebraic Sendov’s Conjecture
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiBuilding on a foundational result established by Robertson [Proc. Edinburgh Math. Soc., 1976], we develop a framework for differentiation of maps defined on specific classes of unital commutative C∗-algebras.
Krishna, K.M.
doaj +1 more source
Symmetries and reversing symmetries of polynomial automorphisms of the plane
, 2004 The polynomial automorphisms of the affine plane over a field K form a group which has the structure of an amalgamated free product. This well-known algebraic structure can be used to determine some key results about the symmetry and reversing symmetry ...
Baake, Michael, Roberts, John A. G.
core +2 more sources
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
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Ingeniería y Ciencia, 2020 In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes +1 more
doaj +1 more source
Comparison Between Algebraic Cryptanalysis on DES and NTRU
InPrime, 2023 Algebraic cryptanalysis is a cryptanalysis method that aims to exploit the algebraic structure of an encryption algorithm to obtain the secret key. Algebraic cryptanalysis becomes interesting because it uses a small amount of known plaintext, which in ...
Fadila Paradise, Kiki Ariyanti Sugeng
doaj +1 more source
The Thom Conjecture for proper polynomial mappings [PDF]
, 2015 Let $f,g:X \to Y$ be continuous mappings. We say that $f$ is topologically equivalent to $g$ if there exist homeomorphisms $\Phi : X\to X$ and $\Psi: Y\to Y$ such that $\Psi\circ f\circ \Phi=g.$ Let $X,Y$ be complex smooth irreducible affine varieties ...
Jelonek, Zbigniew
core
Hopf Algebras and the Penrose Polynomial
European Journal of Combinatorics, 2001 Let \(G\) be a plane 2-4-graph, that is, all degrees are \(2\) or \(4\). A Eulerian decomposition of \(G\) is a partition of the edge set of \(G\) into circuits. A transition system of \(G\) is a system of coupling the edges in each star of \(G\). The main result of the paper interprets the Penrose polynomial of \(G\) on negative integers in terms of ...
openaire +2 more sources