Results 71 to 80 of about 9,944 (204)
An Algebraic Approach to Number Theory using Unique Factorization [PDF]
, 2013 Though it may seem non-intuitive, abstract algebra is often useful in the study of number theory. In this thesis, we explore some uses of abstract algebra to prove number theoretic statements.
Sullivan, Mark
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Deep Spatially Varying Coefficient Model for Interpolation of Non‐Stationary Meteorological Data
Environmetrics, Volume 37, Issue 6, September 2026.ABSTRACT In spatial statistics, the spatially varying coefficient model (SVCM) is widely applied in the analysis and interpolation of non‐stationary spatial data. By incorporating spatially varying coefficients, the model can capture spatial heterogeneity and provide an attractive interpretation of response‐covariate associations.
Tong Wu, Nan Chen, Zhi‐Sheng Ye
wiley +1 more source
International Journal of Mathematical Combinatorics, Vol.5 [PDF]
, 2011 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
The elementary theory of e-free PAC domains [PDF]
, 2000 We prove that the theory of all sentences in the language of rings which are true in Z̃∩Q̃(σ) for almost all σ∈G(Q)e is decidable. Here Q̃ is the field of all algebraic numbers; Z̃ is the ring of all algebraic integers; G(Q) is the absolute Galois group ...
Razon, Aharon, Aharon Razon
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
, 2012 Algebraic equations on complex numbers and functional equations on generating functions are often used to solve combinatorial problems. But the introduction of common arithmetic operators such as subtraction and division always causes panic in the world ...
Chen, Wei
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Curves over number fields and their rings of integers. [PDF]
, 2013 In this document, the author collected his work that ranges through the years 2006-2013. The common theme that occurs in its five separate parts is that of families of algebraic curves defined over the rational numbers with points over a number field or ...
Zinevičius, Albertas,
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Quasi-perfect Geometrically Uniform Codes Derived From Graphs Over Gaussian Integer Rings [PDF]
, 2015 In this paper we present a generalization of the perfect codes derived from the quotient rings of Gaussian integers. We call this class of codes quasi-perfect, which in addition to preserving the property of being geometrically uniform codes they are ...
Quilles C., Palazzo Jr. R.
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