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We provide a simple proof of Kamp's theorem.

Logic in Computer Science · Computer Science 2015-07-01 Alexander Rabinovich

In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.

Differential Geometry · Mathematics 2019-09-27 Chao Li , Xi Zhang , QiZhi Zhao

This paper provides theorems aimed at shedding light on issues in the foundations of quantum mechanics. These theorems can be used to propose new interpretations to the theory, or to better understand, evaluate and improve current…

Quantum Physics · Physics 2022-02-04 Roberto H. Schonmann

We prove a central limit theorem with aassumptions which are many weak than classical conditions

Probability · Mathematics 2007-05-23 René Blacher

We give a new proof of a lemma by L. Shepp, that was used in connection to random coverings of a circle.

Classical Analysis and ODEs · Mathematics 2014-11-21 Tomas Persson

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

Algebraic Geometry · Mathematics 2007-05-23 Ivan V. Losev

In this paper we develop some new KAM-technique to prove two general KAM theorems for nearly integrable hamiltonian systems without assuming any non-degeneracy condition. Many of KAM-type results (including the classical KAM theorem) are…

Dynamical Systems · Mathematics 2016-03-23 Junxiang Xu , Xuezhu Lu

We give a proof of Cox's Theorem on the product rule and sum rule for conditional plausibility without assuming continuity or differentiablity of plausibility. Instead, we extend the notion of plausibility to apply to unknowns giving them…

Probability · Mathematics 2007-05-23 Maurice J. Dupre , Frank J. Tipler

We present a general fixed point theorem which can be seen as the quintessence of the principles of proof for Banach's Fixed Point Theorem, ultrametric and certain topological fixed point theorems. It works in a minimal setting, not…

Commutative Algebra · Mathematics 2013-04-02 Katarzyna Kuhlmann , Franz-Viktor Kuhlmann

The assumptions needed to prove Cox's Theorem are discussed and examined. Various sets of assumptions under which a Cox-style theorem can be proved are provided, although all are rather strong and, arguably, not natural.

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern

We prove a limit theorem for quantum stochastic differential equations with unbounded coefficients which extends the Trotter-Kato theorem for contraction semigroups. From this theorem, general results on the convergence of approximations…

Mathematical Physics · Physics 2008-05-08 Luc Bouten , Ramon van Handel , Andrew Silberfarb

If a non-periodic sequence $X$ is the image by a morphism of a fixed point of both a primitive substitution $\sigma$ and a primitive substitution $\tau$, then the dominant eigenvalues of the matrices of $\sigma$ and of $\tau$ are…

Combinatorics · Mathematics 2008-07-23 Fabien Durand

We prove a new theorem on additive Levy processes and show that this theorem implies several proved theorems and a hard conjectured theorem.

Probability · Mathematics 2007-07-13 Ming Yang

We prove the theorems which are equivalent to the Roland's results such that a new form of them allows to consider some generalizations. In particular, we give generators of primes more than a fixed prime.

Number Theory · Mathematics 2010-03-03 Vladimir Shevelev

We give a new proof of the Krohn-Rhodes Theorem using local divisors. The proof provides nearly as good a decomposition in terms of size as the holonomy decomposition of Eilenberg, avoids induction on the size of the state set, and works…

Group Theory · Mathematics 2011-11-08 Volker Diekert , Manfred Kufleitner , Benjamin Steinberg

The goal of this note is to give a variant of the generic fibration theorem for Waldhausen K-theory without assuming the factorization axiom.

K-Theory and Homology · Mathematics 2015-08-07 Satoshi Mochizuki

Using nonstandard analysis, an intuitive and very short proof of the Radon-Nikodym theorem is provided

Logic · Mathematics 2026-05-12 Takashi Matsunaga

We develop a new method leading to an elementary proof of a generalization of Gromov's theorem about non existence of H\"older embeddings into the Heisenberg group.

Geometric Topology · Mathematics 2023-12-22 Piotr Hajłasz , Armin Schikorra

I give a proof of the uniform boundedness theorem that is elementary (i.e. does not use any version of the Baire category theorem) and also extremely simple.

Functional Analysis · Mathematics 2011-05-03 Alan D. Sokal

A version of the vacuum conservation theorem is proved which does not assume the existence of a time function nor demands stronger properties than the dominant energy condition. However, it is shown that a stronger stable version plays a…

General Relativity and Quantum Cosmology · Physics 2015-04-10 E. Minguzzi
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