We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for various examples. This algorithm relies solely on interference and scales exponentially. 4 Author to whom any correspondence should be addressed. New Journal of Physics 13 (2011) 103007 1367-2630/11/103007+37$33.00 © IOP Pu...

About twelve years ago, I learned that paper folding or elementary origami could be used to demonstrate all the Euclidean constructions; the booklet, [9], gives postulates and detailed the methods for high school teachers. Since then, I have noticed a number of papers on origami and variations, [3], [2] and even websites [7]. What are a good set of axioms and what should be constructible all ca...

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i

Traditional computers work with finite numbers. Situations where the usage of infinite or infinitesimal quantities is required are studied mainly theoretically. In this paper, a recently introduced computational methodology (that is not related to the non-standard analysis) is used to work with finite, infinite, and infinitesimal numbers numerically. This can be done on a new kind of a computer...

Physicists, engineers and mathematicians are accustomed to the combination of elegance, rigour and utility that characterise mathematical models. They are familiar with the need to dip into their mathematical toolbox to select the technique of choice. However, medicine and biology have not been characterised, in general, by a mathematical formalism. The relative paucity of mathematical models i...

Fuzzy linear programming problem occur in many elds such as mathematical modeling, Control theory and Management sciences, etc. In this paper we focus on a kind of Linear Programming with fuzzy numbers and variables namely Fully Fuzzy Linear Programming (FFLP) problem, in which the constraints are in inequality forms. Then a new method is proposed to ne the fuzzy solution for solving (FFLP). Nu...

Optimization problems in the fuzzy environment are widely studied literature. We restrict our attention to mathematical programming with coefficients and/or decision variables expressed by numbers. Since review of recent literature on shows that extension principle is present through arithmetic but much less involved foundations solution concepts, we believe efforts rehabilitate idea following ...

This paper focuses on the problem of 5G network cell planning. In addition, it presents an example a rough estimation required number cells or base stations in certain area for arbitrary users who are provided with bandwidth per user within these cells. The is initial step and essence planning implementation area. It helpful operators to create take into account business plans order fully imple...