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We show how to reduce a general, strictly-feasible LP problem, into a min-max problem, which can be solved by the algorithm from the third section of my thesis.

Computational Geometry · Computer Science 2013-11-22 Carmi Grushko

The paper describes our experience collecting a new dataset for the light source estimation problem in a single image. The analysis of existing color targets is presented along with various technical and scientific aspects essential for…

Computer Vision and Pattern Recognition · Computer Science 2020-06-08 E. I. Ershov , A. V. Belokopytov , A. V. Savchik

Eighteenth century Japan was a time of isolation and peace, where education and the arts blossomed. Originally posted before 1749 by an unknown author, the sangaku (mathematical tablet) that became known as the Gion Shrine problem, has…

History and Overview · Mathematics 2018-07-04 Melissa Holly

One of the main open problems in the context of extensions of Hilbert's tenth problem (HTP) is the case of the ring of complex entire functions in one variable. Our main result provides a step towards an answer: For every $\rho\ge 0$, we…

Complex Variables · Mathematics 2024-06-19 Hector Pasten

In this short paper we present an algorithm for finding a solution to a generalized Sudoku.

General Mathematics · Mathematics 2011-04-07 Florentin Smarandache

In this note, we investigate a condition related to the characterization of Hankel measures on Hardy space. We address a problem mentioned by J. Xiao in 2000.

Complex Variables · Mathematics 2018-05-10 Guanlong Bao , Fangqin Ye

Sudoku is a puzzle well-known to the scientific community with simple rules of completion, which may require a com-plex line of reasoning. This paper addresses the problem of partitioning the Sudoku image into a 1-D array, recognizing…

Machine Learning · Computer Science 2019-05-28 Aditya Narayanaswamy , Yichuan Philip Ma , Piyush Shrivastava

We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm $H^{1}$. The main tool are new endpoint estimates of the perturbed Dirac flow for a class of radial-type initial data.

Analysis of PDEs · Mathematics 2011-05-24 Federico Cacciafesta

In this paper, I propose some problems, of topological nature, on the energy functional associated to the Dirichlet problem -\Delta u = f(x,u) in Omega, u restricted to the boundary of Omega is 0. Positive answers to these problems would…

Analysis of PDEs · Mathematics 2013-10-09 Biagio Ricceri

In this paper, we focus on the solution of a hard single machine scheduling problem by new heuristic algorithms embedding techniques from machine learning field and scheduling theory. These heuristics transform an instance of the hard…

Optimization and Control · Mathematics 2021-01-05 Axel Parmentier , Vincent T'Kindt

We consider the problem of jointly estimating the attitude and spin-rate of a spinning spacecraft. Psiaki (J. Astronautical Sci., 57(1-2):73--92, 2009) has formulated a family of optimization problems that generalize the classical…

Optimization and Control · Mathematics 2017-01-03 James Saunderson , Pablo A. Parrilo , Alan S. Willsky

For an integer $b\ge 0$, a $b$-matching in a graph $G=(V,E)$ is a set $S\subseteq E$ such that each vertex $v\in V$ is incident to at most $b$ edges in $S$. We design a fully polynomial-time approximation scheme (FPTAS) for counting the…

Data Structures and Algorithms · Computer Science 2024-07-09 Kun He , Zhidan Li , Guoliang Qiu , Chihao Zhang

We present some questions and suggestion on the second part of the Hilbert 16th problem

Dynamical Systems · Mathematics 2023-02-13 Ali Taghavi

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

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

Over 300 sequences and many unsolved problems and conjectures related to them are presented herein together with theorems corollaries, formulae, examples, mathematical criteria, etc. (about integer sequences, numbers, quotients, residues,…

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

Let $\eta$ be a quadratic irrationality. The variant of Hua Loo Keng's problem involving primes such that $a<\{\eta p^2\}<b$, where $a$ and $b$ are arbitrary real numbers of the interval $(0,1)$, solved in this paper.

Number Theory · Mathematics 2008-12-31 Sergey A. Gritsenko , Natalya N. Motkina

Using Langer's variation on the Bogomolov-Miyaoka-Yau inequality \cite[Theorem 0.1]{Langer} we provide some Hirzebruch-type inequalities for curve arrangements in the complex projective plane.

Algebraic Geometry · Mathematics 2017-04-18 Piotr Pokora

This document is an exposition of an assortment of open problems arising from the exact enumeration of (perfect) matchings of finite graphs. Roughly half have been solved at the time of this writing; see the document "Twenty Open Problems…

Combinatorics · Mathematics 2007-05-23 James Propp

From: Yasushi Watanabe <[email protected]> Date: Thu, 10 Apr 2003 08:34:09 EDT Subject: withdrawal of R.Naboulsi's papers ------------ Dear sirs: I am a professor at Tokyo Institute of Technology. I wished to help a…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ramy Naboulsi

A convergent iterative process is constructed for solving any solvable linear equation in a Hilbert space.

Numerical Analysis · Mathematics 2007-05-23 A. G. Ramm
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