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We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On the other hand, the basic integral theorems can be obtained…

Classical Analysis and ODEs · Mathematics 2007-12-05 Ágnes M. Backhausz , Vilmos Komornik , Tivadar Szilágyi

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

Commutative Algebra · Mathematics 2008-02-12 Satoshi Murai , Takayuki Hibi

This document is an addendum to "One-point remapping of Lagrangian perturbation theory in the mildly non-linear regime of cosmic structure formation" (arXiv:1305.4642).

Cosmology and Nongalactic Astrophysics · Physics 2015-08-03 Florent Leclercq , Jens Jasche , Benjamin Wandelt

We study existence, uniqueness and regularity of solutions for linear equations in infinitely many derivatives. We develop a natural framework based on Laplace transform as a correspondence between appropriate $L^p$ and Hardy spaces: this…

Mathematical Physics · Physics 2017-05-10 Alan Chavez , Humberto Prado , Enrique G. Reyes

This paper is withdrawn because its results have been previously reported in arxiv hep-th/0507200.

High Energy Physics - Theory · Physics 2008-03-03 D. Grumiller , R. Jackiw

In these notes we provide the foundation for the deformation theoretic parts of arXiv:0807.3753 and arXiv:math/0102005.

Rings and Algebras · Mathematics 2010-10-07 Michel Van den Bergh

In this paper, a generalised integral called the Laplace integral is defined on unbounded intervals, and some of its properties, including necessary and sufficient condition for differentiating under the integral sign, are discussed. It is…

Classical Analysis and ODEs · Mathematics 2022-02-22 S. Mahanta , S. Ray

We consider a class of stochastic processes containing the classical and well-studied class of Squared Bessel processes. Our model, however, allows the dimension be a function of the time. We first give some classical results in a larger…

Probability · Mathematics 2013-04-25 Gabriel Faraud , Stéphane Goutte

This paper has been withdrawn since its content is included in the more general version arXiv:0804.1882

General Relativity and Quantum Cosmology · Physics 2008-04-11 Hakan Andreasson

This paper has been withdrawn by the author due to new results to be added.

High Energy Physics - Phenomenology · Physics 2007-05-23 Tsung-Wen Yeh

This paper has been withdrawn by the author.

Computation and Language · Computer Science 2015-03-14 Juan-Manuel Torres Moreno , Silvia Fernandez , Eric SanJuan

The paper has been withdrawn by the author.

High Energy Physics - Theory · Physics 2008-02-03 D. Song

This paper has been withdrawn by the author; a revised version is part of the author's phd-thesis "Quasi-logarithmic structures" (Zurich, 2007).

Combinatorics · Mathematics 2008-06-29 Bruno Nietlispach

We identify conditions giving large natural classes of partial differential operators for which it is possible to construct a complete set of Laplace invariants. In order to do that we investigate general properties of differential…

Mathematical Physics · Physics 2020-12-22 David Hobby , Ekaterina Shemyakova

This paper has been withdrawn by the author.

General Physics · Physics 2011-08-04 Paul Bird

This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.

Mathematical Physics · Physics 2007-05-23 Z. C. Tu

This preprint has been withdrawn. It is because I will never publish this preprint since everything has been contained in my new preprint: arXiv:0907.1506. Please refer to arXiv:0907.1506. Please do not cite this preprint any more.

Algebraic Geometry · Mathematics 2009-10-01 Osamu Fujino

This paper has been withdrawn by the author. This draft is withdrawn for its poor quality in english, unfortunately produced by the author when he was just starting his science route. Look at the ICML version instead:…

Machine Learning · Computer Science 2012-06-11 Yao HengShuai

Pre-publication version withdrawn at the request of the journal. Final version now available in Reviews of Particle Physics at http://pdg.lbl.gov/2004/reviews/contents_sports.html

High Energy Physics - Phenomenology · Physics 2007-05-23 Ofer Lahav , Andrew R Liddle

The article has been withdrawn by the author.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Jellal
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