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This erratum corrects a number of formulae containing mistakes in the paper 'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS, v. 381, p.1548. The corrections do not alter any of the conclusions in the original…

Astrophysics · Physics 2009-11-13 Christian R. Kaiser , Philip N. Best

Introduction: Thorough maintenance of the scientific record is needed to ensure the trustworthiness of its content. This can be undermined by a stealth correction, which is at least one post-publication change made to a scientific article,…

Digital Libraries · Computer Science 2025-02-25 Rene Aquarius , Floris Schoeters , Nick Wise , Alex Glynn , Guillaume Cabanac

In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally continuous map between digital images. We also reveal…

Algebraic Topology · Mathematics 2021-03-02 Melih Is , Ismet Karaca

Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images represented as histograms of oriented gradients. Viewing a…

Computational Geometry · Computer Science 2019-03-29 Herbert Edelsbrunner , Ziga Virk , Hubert Wagner

The proof of Theorem 11 of the paper M. Scheepers, Remarks on countable tightness, Topology and its Applications 161 (2014), 407 - 432 relies on Lemma 10 of that paper. The offered proof of Lemma 10 had shortcomings, and I was recently…

General Topology · Mathematics 2015-10-01 Marion Scheepers

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

This is a corrected version of our paper published in Osaka Journal of Mathematics 51(2014), 673-693. We correct Theorem~1.1, Proposition~3.3 and their proofs.

Differential Geometry · Mathematics 2015-05-12 Guangcun Lu , Xiaomin Chen

The purpose of this note is make Theorem 13 in the article "On Biautomaticity of Non-Homogenous Small-Cancellation Groups" more accessible. Restatements of the theorem already appeared in few of the authors' succeeding works but with no…

Group Theory · Mathematics 2010-09-29 Uri Weiss

This is a list of the typographic and other errors that occur in `Automorphisms of first-order structures', by R. W. Kaye and H. D. Macpherson (eds), Oxford University Press, 1994.

Logic · Mathematics 2016-09-06 Richard Kaye

The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to our article ``Hadamard spaces with isolated flats'' math.GR/0411232, which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that…

Group Theory · Mathematics 2014-11-11 G. Christopher Hruska , Bruce Kleiner

We correct the statements of two theorems and two corollaries in our paper [On subgroup perfect codes in Cayley graphs, European J. Combin. 91 (2021) 103228]. Proofs of these theorems and three other results are given as well.

Combinatorics · Mathematics 2022-01-21 Junyang Zhang , Sanming Zhou

In a recent paper, two multi-representations for the measurable sets in a computable measure space have been introduced, which prove to be topologically complete w.r.t. certain topological properties. In this contribution, we show them…

Computational Complexity · Computer Science 2010-06-03 Yongcheng Wu

A formalism for quantum error correction based on operator algebras was introduced in [1] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quantum-classical…

Quantum Physics · Physics 2009-11-13 Cedric Beny , Achim Kempf , David W. Kribs

The proliferation of digital carriers that can be exploited to conceal arbitrary data has greatly increased the number of techniques for implementing network steganography. As a result, the literature overlaps greatly in terms of concepts…

The goal of this paper is to experiment new math concepts and theories, especially if they run counter to the classical ones. To prove that contradiction is not a catastrophe, and to learn to handle it in an (un)usual way. To transform the…

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327

Algebraic Geometry · Mathematics 2010-01-14 Mario Maican

Language representations are known to carry stereotypical biases and, as a result, lead to biased predictions in downstream tasks. While existing methods are effective at mitigating biases by linear projection, such methods are too…

Computation and Language · Computer Science 2021-09-14 Sunipa Dev , Tao Li , Jeff M Phillips , Vivek Srikumar

The aim of this note is to point out some inaccuracies in our paper \cite{HD} and to fix them. Some new notions are introduced and properties of them are investigated.

General Mathematics · Mathematics 2014-04-30 Kostaq Hila , Jani Dine

This is an addendum to our earlier paper on the defect of an ample divisor of an abelian variety. It modifies an argument of the original paper to handle one difficulty there. At the same time the modification improves the result in the…

Complex Variables · Mathematics 2007-05-23 Yum-Tong Siu , Sai-Kee Yeung

We propose a compositional approach to construct subspaces consisting entirely of r-uniform states, including the ones in heterogeneous systems. The approach allows one to construct new objects from old ones: it combines encoding isometries…

Quantum Physics · Physics 2023-01-10 K. V. Antipin
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