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Related papers: Remarks on weakly pseudoconvex boundaries: Erratum

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We present some new lower bound estimates for certain numbers in Laver table theory and introduce several related structures of interest.

Logic · Mathematics 2025-11-18 Renrui Qi

We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.

Metric Geometry · Mathematics 2012-01-04 Dmitry Ryabogin , Vlad Yaskin

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2012-01-16 Mevlut Tunc , S. Ugur Kirmaci

There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…

Mathematical Physics · Physics 2025-06-23 Bernard S. Kay

In this short note we provide clarification to the comments made in Z. Angew. Math. Phys. (2018) 69:64 on our work "Finiteness of corner vortices" [ Z. Angew. Math. Phys. (2018) 69:37].

Fluid Dynamics · Physics 2018-07-03 Jiten C Kalita

The uniqueness argument in the proof of Theorem 5, p. 483, of "Small noise asymptotics for invariant densities for a class of diffusions: a control theoretic view, J. Math. Anal. and Appl. (2009) " is flawed. We give here a corrected proof.

Probability · Mathematics 2011-07-13 Anup Biswas , Vivek S. Borkar

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.

Functional Analysis · Mathematics 2011-02-14 Thabet Abdeljawad , Erdal Karapınar

In a recent paper on wormholes (gr-qc/0503097), the author of that paper demonstrated that he didn't know what he was talking about. In this paper I correct the author's naive erroneous misconceptions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leonard Susskind

We correct the proof in the unoriented case of Theorem 1.2 in the paper "Cobordisms of maps with singularities of given class"

Geometric Topology · Mathematics 2009-11-10 Yoshifumi Ando

A bound on the error introduced by truncating a quantum addition is given. This bound shows that only a few controlled rotation gates will be necessary to get a reliable computation.

Quantum Physics · Physics 2007-05-23 Nathan W. Panike

In this paper we give refinements of some convex and log-convex moment inequalities of the first and second order using a special kind of positive semi-definite form. An open problem concerning eight parameter refinement of second order is…

Information Theory · Computer Science 2016-05-16 Slavko Simic

In this paper, we consider the boundary M of a weakly pseudoconvex domain in a Stein manifold. We point out a striking difference between the local cohomology and the global cohomology of M, and illustrate this with an example. We also…

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

We consider some critical claims concerning our above paper, and reply to these claims.

Optimization and Control · Mathematics 2019-05-22 Andrei Dmitruk , Ivan Samylovskiy

This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

Functional Analysis · Mathematics 2024-06-27 Giuliano Basso

We present a brief survey of existing mistake bounds and introduce novel bounds for the Perceptron or the kernel Perceptron algorithm. Our novel bounds generalize beyond standard margin-loss type bounds, allow for any convex and Lipschitz…

Machine Learning · Computer Science 2013-07-24 Mehryar Mohri , Afshin Rostamizadeh

Minor corrections made and several references changed.

High Energy Physics - Theory · Physics 2010-11-01 J. Baez , W. Taylor

The purpose of this note is to correct statements of some assertions in \cite{l}.

Algebraic Topology · Mathematics 2007-06-13 Bo Chen , Zhi Lü

We provide a very simple case showing that the weak form of the Heisenberg limit can be beaten while the prior information is improved without bias.

Quantum Physics · Physics 2017-03-16 Alfredo Luis

We give some new refinements and reverses Young inequalities in both additive-type and multiplicative-type for two positive numbers/operators. We show our advantages by comparing with known results. A few applications are also given. Some…

Functional Analysis · Mathematics 2018-03-26 Shigeru Furuichi , Hamid Reza Moradi