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We axiomatically characterize the Tsallis entropy of a finite quantum system. In addition, we derive a continuity property of Tsallis entropy. This gives a generalization of the Fannes inequality.

Quantum Physics · Physics 2010-01-12 Shigeru Furuichi , Kenjiro Yanagi , Ken Kuriyama

In this paper we give a new proof of Riemann's well known mapping theorem. The suggested method permits to prove an analog of that theorem for the three dimensional case.

Complex Variables · Mathematics 2011-01-05 Ashot Vagharshakyan

In this short paper, we give a $p$-adic analogue of the Hard Leftschetz Theorem.

Algebraic Geometry · Mathematics 2015-01-30 Daniel Caro

In this paper we give a generalization of a result of Wei.

Combinatorics · Mathematics 2008-02-19 Nedyalko Nenov

We begin with recalling the correspond theorem of induced modules and global sections of vector bundles. After that, we give a generalization of this theorem. Finally, we apply the result to branching laws, and give some concrete examples.

Representation Theory · Mathematics 2013-12-09 Haian He

We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined in \cite{berzel}. In the case of rank two, we extend some structural results from the…

Quantum Algebra · Mathematics 2017-01-23 Liqian Bai , Xueqing Chen , Ming Ding , Fan Xu

In this paper we go on to discuss about Stanley's theorem in Integer partitions. We give two different versions for the proof of the generalization of Stanley's theorem illustrating different techniques that may be applied to profitably…

Combinatorics · Mathematics 2016-10-07 Suprokash Hazra

We prove a generalization of Istvan F\'ary's celebrated theorem to higher dimension.

Geometric Topology · Mathematics 2025-03-13 Karim Adiprasito , Zuzana Patáková

In this paper, we first propose a natural generalization of the well-known compare-and-swap object, one that replaces the equality comparison with an arbitrary comparator. We then present a simple wait-free universal construction using this…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-28 Vassos Hadzilacos , Myles Thiessen , Sam Toueg

The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.

Functional Analysis · Mathematics 2015-11-25 Ligia L. Cristea , Milan Pasteka

We prove a generalization of the well known Routh's triangle theorem. As a consequence, we get a unification of the theorems of Ceva and Menelaus. A connection to Feynman's triangle is also given.

Metric Geometry · Mathematics 2012-08-08 Arpad Benyi , Branko Curgus

We prove a generalization of one of Lie's Theorems in the context of Lie-like algebras$^{2-nd}$.

Rings and Algebras · Mathematics 2008-02-28 Keqin Liu

A new generalization of the classical separate algebraicity theorem is suggested and proved.

alg-geom · Mathematics 2008-02-03 R. A. Sharipov , E. N. Tzyganov

I give a simpler proof of the generalisation of Engel's Theorem to Leibniz algebras.

Rings and Algebras · Mathematics 2011-07-12 Donald W. Barnes

We give a generalization of Fujisawa's theorem in [F]. Our proof of the generalized theorem is purely algebraic and it is simpler than his proof.

Algebraic Geometry · Mathematics 2025-03-19 Yukiyoshi Nakkajima

In this paper we prove a generalization of famous Larchr's theorem concerning good lattice points.

Number Theory · Mathematics 2012-03-15 Dmitry Ushanov

We consider an analogue of the well-known Riemann Hypothesis based on quantum walks on graphs with the help of the Konno-Sato theorem. Furthermore, we give some examples for complete, cycle, and star graphs.

Quantum Physics · Physics 2024-01-23 Norio Konno

We give a simple proof of Dorronsoro's theorem and use similar ideas to establish an equivalence for embeddings of vector fields.

Classical Analysis and ODEs · Mathematics 2015-06-23 Dmitriy Stolyarov

We present a multivariable generalization of the digital binomial theorem from which a q-analog is derived as a special case.

Number Theory · Mathematics 2015-06-29 Toufik Mansour , Hieu D. Nguyen

This paper states and proves a generalization of the well-known Desargues involution theorem from plane projective geometry.

History and Overview · Mathematics 2022-05-11 Nicholas Phat Nguyen