Results 61 to 70 of about 4,224,396 (192)
Multivariate discrete splines and linear Diophantine equations [PDF]
Transactions of the American Mathematical Society, 1993 In this paper we investigate the algebraic properties of multivariate discrete splines. It turns out that multivariate discrete splines are closely related to linear diophantine equations. In particular, we use a solvability condition for a system of linear diophantine equations to obtain a necessary and sufficient condition for the integer translates ...
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New results on embeddings of self‐similar sets via renormalization
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract For self‐similar sets X,Y⊆R$X,Y\subseteq \mathbb {R}$, we obtain new results toward the affine embeddings conjecture of Feng–Huang–Rao (2014), and the equivalent weak intersections conjecture. We show that the conjecture holds when the defining maps of X,Y$X,Y$ have algebraic contraction ratios, and also for arbitrary Y$Y$ when the maps ...
Amir Algom, Michael Hochman, Meng Wu
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Forum of Mathematics, SigmaWe establish large sets of Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on Zd $\mathbb Z^d$ double struck upper Z Superscript d , thus extending Anderson localization from the linear (cf. Bourgain [Geom.
Yunfeng Shi, Wei-Min Wang
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Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations [PDF]
Formal Methods in System Design, 2008 Abstract: "The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interpolants in rational and real linear arithmetic. We focus on subsets of integer linear arithmetic.
Himanshu Jain +2 more
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Kripke on Gödel Incompleteness
Theoria, Volume 92, Issue 3, June 2026.ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
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AppliedMathThis paper introduces a digital adaptive control framework for large-scale multivariable systems, integrating matrix linear Diophantine equations with block pole placement.
Belkacem Bekhiti +4 more
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Observability of string vibrations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Transversal vibrations $u=u(x,t)$ of a string of length $l$ under three essential boundary conditions are studied, where $u$ is governed by the Klein--Gordon equation: $$u_{tt}(x,t) = a^2u_{xx}(x,t) - cu(x,t), (x,t) \in [0,l]\times \mathbb{R}; \ 0 < a ...
András Szijártó, Jenő Hegedűs
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NOTE ON THE DIOPHANTINE EQUATION [PDF]
, 2000 NOTE ON THE DIOPHANTINE ...
Atanassov, Krassimir +2 more
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Generalized free wreath products and their operator algebras
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
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Sum of Squares of Mulatu Numbers That Are Powers of 2
International Journal of Mathematics and Mathematical SciencesIn this work, we fully characterize all nonnegative integer solutions n,m,a to the Diophantine equation Mn2+Mm2=2a, where Mkk≥0 is the Mulatu sequence.
Ahmed Gaber +2 more
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