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The long-standing problem of minimal projections is addressed from a computational point of view. Techniques to determine bounds on the projection constants of univariate polynomial spaces are presented. The upper bound, produced by a…

Numerical Analysis · Mathematics 2018-01-15 Simon Foucart , Jean-Bernard Lasserre

This is a brief technical note to clarify the state of lower bounds on regret for reinforcement learning. In particular, this paper: - Reproduces a lower bound on regret for reinforcement learning, similar to the result of Theorem 5 in the…

Machine Learning · Statistics 2016-08-10 Ian Osband , Benjamin Van Roy

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

For $\lambda$ inaccessible, we may consider $(< \lambda)$-support iteration of some specific $(<\lambda)$-complete $\lambda^+$-c.c. forcing notion. But this fails a "preservation by restricting to a sub-sequence of the forcing, we "correct"…

Logic · Mathematics 2022-09-07 Saharon Shelah

This paper presents an iterative scheme that converges to the solution of a pseudo-monotone variational inequality problem in the setting of $\mathbb{R}^{n}$. Traditional methods often require projections onto the feasible set…

Optimization and Control · Mathematics 2025-09-09 Watanjeet Singh , Sumit Chandok

We have discovered errors in the calculation of some of the Einstein coefficients in Table 5 and some plots in Figure 3. Due to the errors, the square-root section of the curves of growth of Fe xxvi Ka and Kb, and Ni xxviii Ka in Figure 3…

A few typos in Mamajek, Meyer, & Liebert (2002, AJ, 124, 1670) have been corrected in this erratum (including two stellar misidentifications and an incorrect power in the units of a slope). The most significant is the correction of a sign…

Astrophysics · Physics 2008-11-26 E. E. Mamajek , M. R. Meyer , J. Liebert

In our paper "Dendroidal sets as models for homotopy operads" (J. Topol. 4 (2011), no. 2, 257-299, and arXiv:0902.1954), we made the wrong claim about the behaviour of the tensor product with respect to cofibrations of dendroidal sets. We…

Algebraic Topology · Mathematics 2014-03-27 Denis-Charles Cisinski , Ieke Moerdijk

We identify and correct an error in the paper "Excess Optimism: How Biased is the Apparent Error of an Estimator Tuned by SURE?" This correction allows new guarantees on the excess degrees of freedom--the bias in the error estimate of…

Statistics Theory · Mathematics 2021-12-30 Maxime Cauchois , Alnur Ali , John Duchi

The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.

Algebraic Geometry · Mathematics 2007-05-23 Stefan Schroeer

Withdrawn due to a mistake in jets' Doppler factor modeling. An updated version will appear after revisiting this work.

Astrophysics · Physics 2007-05-23 Bartosz Lew , Boudewijn F. Roukema , Silke Britzen , Marcin P. Gawronski

In this paper, a detrimental mathematical mistake is pointed out in the proof of \textit{Theorem 1} presented in the paper\textit{ [Generalization of the gradient method with fractional order gradient direction, J. Franklin Inst., 357…

Optimization and Control · Mathematics 2020-09-14 Abdul Wahab , Shujaat Khan

We find it necessary to advise the interested and active instructor of Physics on the wrongness of some computations in the aforementioned article. Surprisingly, the Journal refuses to even publish an erratum on the paper, which naturally…

General Physics · Physics 2011-02-08 Rojas Sergio

This note refers to our previous paper "The emergence of torsion in the continuum limit of distributed edge-dislocations". It identifies and fixes an error in the notion of convergence of Weitzenb\"ock manifolds defined in the paper, and in…

Differential Geometry · Mathematics 2018-02-23 Raz Kupferman , Cy Maor

We correct one erroneous statement made in our recent paper "Medial axis and singularities".

Metric Geometry · Mathematics 2017-06-08 Lev Birbrair , Maciej P. Denkowski

Erratum to cond-mat 9309014

Condensed Matter · Physics 2007-05-23 A. V. Balatsky , E. Abrahams , D. J. Scalapino , J. R. Schrieffer

We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.

Number Theory · Mathematics 2025-10-23 Jan Hendrik Bruinier , Martin Raum

Let $\Theta$ denote the supremum of the real parts of the zeros of the Riemann zeta function. We demonstrate that $\Theta=1$, which entails the existence of infinitely many Riemann zeros off the critical line (thus disproving the Riemann…

General Mathematics · Mathematics 2026-02-19 Tatenda Kubalalika

It is shown that the condition of Theorem 1 in [1] never holds in practice and that Theorem 2 is incorrect under the stated condition. Extra assumptions or/and modifications are needed to make the conclusions of Theorem 1 and 2 above valid,…

Information Theory · Computer Science 2020-02-20 S. Loyka , M. Khojastehnia

In this note, we demonstrate that an incorrect statement has been propagated in multiple papers, stemming from the substitution of ``lim'' with ``limsup'' for a sequence in Lemma 1.3 of the paper [J. Schu: Weak and strong convergence to…

Optimization and Control · Mathematics 2024-08-26 R. I. Bot , C. Zalinescu
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