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Related papers: A Reply to "On Salum's Algorithm for X3SAT"

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In their reply arXiv:1408.2230, the authors corrected some inappropriate sentences and clarified misleading descriptions in their original manuscript arXiv:1407.5194v1.

Exactly Solvable and Integrable Systems · Physics 2014-08-13 Takayuki Tsuchida

This is a comment on a recent publication claiming to have found a ``quantum optimization'' algorithm which outperforms known algorithms for minimizing some ``cost function''. Unfortunately, this algorithm is no better than choosing a state…

Quantum Physics · Physics 2022-02-04 Christof Zalka , Todd A. Brun

We would like to congratulate the authors of "A Bayesian Conjugate Gradient Method" on their insightful paper, and welcome this publication which we firmly believe will become a fundamental contribution to the growing field of probabilistic…

Computation · Statistics 2019-08-09 Francois-Xavier Briol , Francisco A. Diaz De la O , Peter O. Hristov

This paper is to explore a model of the ABS Algorithms for dealing with a class of systems of linear stochastic equations A xi=eta satisfying eta sim N_m(v, I_{m}). It is shown that the iteration step alpha_{i} is N(V,\pi) and approximation…

Numerical Analysis · Mathematics 2025-10-20 Hai-Shan Han , Zun-Quan Xia , Antonino Del Popolo

For some $\epsilon > 10^{-36}$ we give a randomized $3/2-\epsilon$ approximation algorithm for metric TSP.

Data Structures and Algorithms · Computer Science 2023-10-26 Anna R. Karlin , Nathan Klein , Shayan Oveis Gharan

We proposed an algorithm that covers some cases of Hamilton Circuit Problem.

Data Structures and Algorithms · Computer Science 2018-11-01 Hanlin Liu

A Comment on the paper "Conservative Quantum Computing" by M. Ozawa, Phys. Rev. Lett. 89, 057902 (2002). The author replies in Phys. Rev. Lett. 91, 089802 (2003).

Quantum Physics · Physics 2009-11-10 Daniel A. Lidar

In this paper, we introduce an iterative numerical method to solve systems of nonlinear equations. The third-order convergence of this method is analyzed. Several examples are given to illustrate the efficiency of the proposed method.

Dynamical Systems · Mathematics 2009-04-23 M. Eshaghi Gordji , A. Ebadian , M. B. Ghaemi , J. Shokri

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

High Energy Physics - Theory · Physics 2007-05-23 Robert Carroll

This is a comment on Chen et al Letter PRL,100, 232002 (2008).

General Physics · Physics 2008-07-08 S. C. Tiwari

In this article we determine several theorems and methods for solving linear congruences and systems of linear congruences, and we find the number of distinct solutions. Many examples of solving congruences are given.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

An error in the author's paper (Functiones et Approximatio, 37 . pp. 203-211) is corrected.

Number Theory · Mathematics 2010-09-24 D. R. Heath-Brown

We have reviewed the comment in [3], posted on arXiv.org concerning our recent work in [1]. We reply to the comment in this paper.

Quantum Physics · Physics 2012-05-08 D. Li , X. Li , H. Huang , X. Li

We give an endorsement for Cornacchia's famous algorithm. Thus we do not claim anything new but an approach which is supposed to be simpler than those of previous works written with the same aim.

Number Theory · Mathematics 2015-05-26 Yoichi Motohashi

This is a complementary document for the paper titled "Asynchronous Distributed Gaussian Process Regression for Online Learning and Dynamical Systems".

Machine Learning · Computer Science 2024-12-17 Zewen Yang , Xiaobing Dai , Sandra Hirche

The results of computational experiments with ABS algorithms for KKT linear systems are reported.

Numerical Analysis · Mathematics 2025-10-20 E. Bodon , A. Del Popolo , L. Luksan , E. Spedicato

We demonstrate that any logical problem can be solved by Bayesian inference. In this approach, the distinction between complexity classes vanishes. The method is illustrated by solving the 3-SAT problem in polynomial time. Beyond this,…

Computational Complexity · Computer Science 2020-02-05 Michel Feldmann

The SOM algorithm is very astonishing. On the one hand, it is very simple to write down and to simulate, its practical properties are clear and easy to observe. But, on the other hand, its theoretical properties still remain without proof…

Statistics Theory · Mathematics 2007-05-23 Marie Cottrell , Jean-Claude Fort , Gilles Pagès

In this note, we want to highlight and correct an error in the paper "On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems" [Comm. Pure Appl. Anal. 15 (2016), 299-317] written by the authors.

Analysis of PDEs · Mathematics 2018-11-21 Francesco Della Porta , Maurizio Grasselli

Remarks on reply (cond-mat/0206368) to Johansen's comment (cond-mat/0205249)

Condensed Matter · Physics 2007-05-23 Anders Johansen