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It is constructed a formal normal form, using an iterative normalization procedure, for a large class of Real-Smooth Hypersurfaces in Complex Spaces.

Complex Variables · Mathematics 2021-08-24 Valentin Burcea

A k-magic square of order n is an arrangement of the numbers from 0 to kn-1 in an n by n matrix, such that each row and each column has exactly k filled cells, each number occurs exactly once, and the sum of the entries of any row or any…

Combinatorics · Mathematics 2018-05-01 Abdollah Khodkar , David Leach

We look at sets of tiles that can tile any region of size greater than 1 on the square grid. This is not the typical tiling question, but relates closely to it and therefore can help solve other tiling problems -- we give an example of…

Combinatorics · Mathematics 2015-11-11 Anne Kenyon , Martin Tassy

A 5x5 board is the smallest board on which one can set up all kind of chess pieces as a start position. We consider Gardner's minichess variant in which all pieces are set as in a standard chessboard (from Rook to King). This game has…

Computer Science and Game Theory · Computer Science 2013-07-29 Mehdi Mhalla , Frederic Prost

This article explains the way in which, with the help of Action Script 3 in combination with Flash, a method of solving Sudoku game was implemented, through searching for the certain numbers and after that trying to guess for the squares…

Other Computer Science · Computer Science 2009-05-27 Alasu Paul Sabrin

In this article, we determine the existing condition of cylinders in smooth minimal geometrically rational surfaces over a perfect field. Furthermore, we show that for any birational map between smooth projective surfaces, one contains a…

Algebraic Geometry · Mathematics 2023-04-26 Masatomo Sawahara

In this short paper we have produced different kinds of upside down magic squares based on a palindromic day 11.02.2011. In this day appear only the algorisms 0, 1 and 2. Some of the magic squares are bimagic and some are palindromic. Magic…

History and Overview · Mathematics 2011-02-15 Inder Jeet Taneja

Let R be a ring. A construction method for flexible quadratic algebras with scalar involution over R is presented which unifies various classical constructions in the literature, in particular those to construct composition algebras.

Rings and Algebras · Mathematics 2007-05-23 S. Pumpluen

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

General Topology · Mathematics 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

We present a review of selected topics concerning the creation and evolution of child universes, together with a concise account of some recent progress in the field.

General Relativity and Quantum Cosmology · Physics 2007-12-10 Stefano Ansoldi , Eduardo I. Guendelman , Idan Shilon

Following the solution to the One-Round Voronoi Game in arXiv:2011.13275, we naturally may want to consider similar games based upon the competitive locating of points and subsequent dividing of territories. In order to appease the tears of…

Computational Geometry · Computer Science 2022-11-15 Thomas Byrne

In this paper we use the minimax inequalities obtained by S. Park (2011) to prove the existence of weighted Nash equilibria and Pareto Nash equilibria of a multiobjective game defined on abstract convex spaces.

Optimization and Control · Mathematics 2013-04-02 Monica Patriche

We calculate the area of the smallest triangle and the area of the smallest virtual triangle for many known lattice surfaces. We show that our list of the lattice surfaces for which the area of the smallest virtual triangle greater than .05…

Dynamical Systems · Mathematics 2016-03-08 Chenxi Wu

A slip on a paper concerning near-vector spaces is fixed. New characterization of near-vector spaces determined by finite fields is provided and the number (up to the isomorphism) of these spaces is exhibited.

Commutative Algebra · Mathematics 2016-12-12 Kijti Rodtes , Wilasinee Chomjun

Previously, Wilson surface observables were interpreted as a class of Poisson sigma models. We profit from this construction to define and study the super version of Wilson surfaces. We provide some `proof of concept' examples to illustrate…

High Energy Physics - Theory · Physics 2024-03-18 Olga Chekeres , Vladimir Salnikov

This note presents new results for the squarefree value sets of quartic polynomials over the integers.

General Mathematics · Mathematics 2023-10-27 N. A. Carella

Main papers on quantum games are written by physicists for physicists, and the inevitable exploitation of physics jargon may create difficulties for mathematicians or economists. Our goal here is to make clear the physical content and to…

Optimization and Control · Mathematics 2019-09-11 Vassili Kolokoltsov

The twistor construction is applied for obtaining examples of generalized complex structures (in the sense of N. Hitchin) that are not induced by a complex or a symplectic structure.

Differential Geometry · Mathematics 2009-11-11 Johann Davidov , Oleg Mushkarov

Spherically complete ball spaces provide a framework for the proof of generic fixed point theorems. For the purpose of their application it is important to have methods for the construction of new spherically complete ball spaces from given…

General Topology · Mathematics 2018-10-23 René Bartsch , Katarzyna Kuhlmann , Franz-Viktor Kuhlmann

This paper is intended to help the readers to understand the article: Y. Hirashita, Least-Squares Prices of Games, Preprint (arXiv:math.OC/0703079).

Optimization and Control · Mathematics 2007-05-23 Yukio Hirashita