Results 71 to 80 of about 94,460 (146)
Irreducible skew polynomials over domains
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible.
Brown C., Pumplün S.
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Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles
Software: Practice and Experience, Volume 56, Issue 6, Page 615-642, June 2026.ABSTRACT The ability to reliably explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably without redundant information, called minimal explanations.
John Törnblom +2 more
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The GCD property and irreduciable quadratic polynomials
International Journal of Mathematics and Mathematical Sciences, 1986 The proof of the following theorem is presented: If D is, respectively, a Krull domain, a Dedekind domain, or a Prüfer domain, then D is correspondingly a UFD, a PID, or a Bezout domain if and only if every irreducible quadratic polynomial in D[X] is a ...
Saroj Malik +2 more
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Negacyclic Codes of Length
IEEE Access, 2019 Let $F_{q}$ be a finite field of odd order $q$ . Let $m$ be a positive integer such that $X^{2^{m}}+1$ factors completely into degree-one factors in $F_{q^{2}}[X]$ . The polynomial generators of all negacyclic codes of length $2^{m}p^{n}$ over
Jing Huang
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
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On irreducible polynomial remainder codes [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 A general class of polynomial remainder codes is considered. These codes are very flexible in rate and length and include Reed-Solomon codes as a special case. In general, the code symbols of such codes are polynomials of different degree, which leads to two different notions of weights and of distances.
Jiun-Hung Yu, Hans-Andrea Loeliger
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Euler‐Top Gaussian Modes: Structured Beams From Quadratic Angular Momentum Dynamics
Nanophotonics, Volume 15, Issue 9, 13 May 2026.A new family of structured Gaussian light beams are introduced: Euler‐top Gaussian modes. Their ray‐orbital paths on the Gaussian Poincaré sphere correspond to the polhodes of the Euler top in classical angular momentum theory. This geometric and algebraic construction reveals a nonseparable mode family extending the familiar Hermite‐, Laguerre‐ and ...
Mark R. Dennis, Kerr Maxwell
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Irreducibility of random polynomials of bounded degree
Discrete Analysis, 2021 Irreducibility of random polynomials of bounded degree, Discrete Analysis 2021:7, 16 pp. This paper contributes to a substantial literature on the subject of random polynomials and their behaviour, considerably generalizing known results that show that ...
Huy Tuan Pham, Max Wenqiang Xu
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Prime Numbers and Irreducible Polynomials [PDF]
The American Mathematical Monthly, 2002 (2002). Prime Numbers and Irreducible Polynomials. The American Mathematical Monthly: Vol. 109, No. 5, pp. 452-458.
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Advanced Photonics Research, Volume 7, Issue 5, May 2026.Commercial finite element method solvers are distilled into a practical workflow for nanoparticle‐on‐mirror cavity simulations. Geometry construction, perfectly matched layer settings, adaptive meshing, convergence tests, mode identification, and spectral matching to single‐particle dark‐field data are integrated into a reproducible route that links ...
Jaewon Lee +3 more
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