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We propose a modification of the Kuramoto model to account for the effective change in the coupling constant among the oscillators, as suggested by some experiments on Josephson junction, laser arrays and mechanical systems, where the…

Statistical Mechanics · Physics 2007-05-23 G. Filatrella , N. F. Pedersen , K. Wiesenfeld

We define a relation that describes the ternary commutator for congruence modular varieties. Properties of this relation are used to investigate the theory of the higher commutator for congruence modular varieties.

Rings and Algebras · Mathematics 2018-08-07 Andrew Moorhead

This note generalizes factorization for formulas with multiplicities and conjectures that the connection method along with this feature is computationally as powerful as resolution, also seen from a complexity point of view.

Logic in Computer Science · Computer Science 2024-03-18 Wolfgang Bibel

The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].

General Mathematics · Mathematics 2009-09-15 Shaohua Zhang

Probably we have observed a new simple phenomena dealing with approximations to two real numbers.

Number Theory · Mathematics 2009-10-14 Igor D. Kan , Nikolay G. Moshchevitin

Assuming that there exist operators which form an irreducible representation of the q-superoscillator algebra, it is proved that any two such representations are equivalent, related by a uniquely determined superunitary transformation. This…

funct-an · Mathematics 2009-10-22 M. Chaichian , R. Gonzalez Felipe , P. Presnajder

In [8], P. Lecomte conjectured the existence of a natural and projectively equivariant quantization. In [1], M. Bordemann proved this existence using the framework of Thomas-Whitehead connections. In [9], we gave a new proof of the same…

Differential Geometry · Mathematics 2009-11-11 F. Radoux

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

General Mathematics · Mathematics 2017-01-13 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

We report about the state of the art on complex and real generic identifiability of tensors, we describe some of our recent results obtained in [6] and we present perspectives on the subject.

Algebraic Geometry · Mathematics 2018-11-06 Elena Angelini

In this paper we look at which Alexander and Markov theories can be defined for generalized knot theories

Geometric Topology · Mathematics 2019-02-13 Andrew Bartholomew , Roger Fenn

Welded knotted objects are a combinatorial extension of knot theory, which can be used as a tool for studying ribbon surfaces in $4$-space. A finite type invariant theory for ribbon knotted surfaces was developped by Kanenobu, Habiro and…

Geometric Topology · Mathematics 2025-04-18 Adrien Casejuane , Jean-Baptiste Meilhan

We give a combinatorial proof of Guo's multi-generalization of Munarini's identity, answering a question of Guo.

Combinatorics · Mathematics 2010-11-30 Dan-Mei Yang

We give new proofs on Arnold Chord Conjecture and Weinstein Conjecture in M\times C which generalizes the previous works.

Symplectic Geometry · Mathematics 2007-05-23 Renyi Ma

Under a slightly stronger hypothesis, one improves a connectedness result of Debarre [D] for a product of two projective spaces in terms of the extension problem of formal-rational functions (see Theorems 1.3 and 1.4 of the introduction)

Algebraic Geometry · Mathematics 2008-12-16 Lucian Bădescu

We prove some generalizations of the sum formula for multiple zeta values by using Hiroyuki Ochiai's method of proving the sum formula.

Number Theory · Mathematics 2022-06-03 Masahiro Igarashi

We introduce super Yangian double $DY_\hbar[gl(m|n)]$ and its central extension $\widehat{DY_\hbar[gl(m|n)]}$. We give their defining relations in terms of current generators and obtain Drinfeld comultiplication.

q-alg · Mathematics 2009-10-30 Yao-Zhong Zhang

We generalize Pappus chain theorem and give an analogue to this theorem.

History and Overview · Mathematics 2018-06-04 Hiroshi Okumura

In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is…

Algebraic Geometry · Mathematics 2014-09-21 Bo Berndtsson , Mihai Păun

We prove a general theorem on overpartitions with difference conditions that unifies generalisations of Schur's theorem due to Alladi-Gordon, Andrews, Corteel-Lovejoy and the author. This theorem also allows one to give companions and…

Combinatorics · Mathematics 2016-07-01 Jehanne Dousse

A new general all terminal network reliability factorization theorem is stated. We relegate the proof to a forthcoming second part paper.

Probability · Mathematics 2016-03-22 Juan Manuel Burgos , Franco Robledo