this research was an attempt to study reasons for creation of some of the important and sacred numbers and their reflection in architectural and urban spaces. this subject matter is important because significant and sacred numbers were used in design and construction of a number of historical spaces. the research objective was to discover some of the reasons for formation of important and sacre...

In this paper fully fuzzy linear programming (FFLP) problem with both equality and inequality constraints is considered where all the parameters and decision variables are represented by non-negative trapezoidal fuzzy numbers. According to the current approach, the FFLP problem with equality constraints first is converted into a multi–objective linear programming (MOLP) problem with crisp const...

New physical and mathematical applications of recently invented fractional Poisson probability distribution have been presented. As a physical application, a new family of quantum coherent states have been introduced and studied. Mathematical applications are related to the number theory. We have developed fractional generalization of the Bell polynomials, the Bell numbers, and the Stirling num...

We compare the numeric performance of C, C# and Java on three small cases.

This paper describes a construction of the real numbers in the HOL theorem-prover by strictly deenitional means using a version of Dedekind's method. It also outlines the theory of mathematical analysis that has been built on top of it and discusses current and potential applications in veriication and computer algebra. 1 The real numbers For some mathematical tasks, the natural numbers N = f0;...

BACKGROUND Cobeljić et al. recently reported a numeric table method to provide precise rotational osteotomy which is a well established orthopaedic procedure. The numeric table requires four pages in length that is rather inconvenient during performing an osteotomy operation. METHODS We thus develop our own method by summarizing the data of the four-page table into a small ruler, which is eas...

The RSA-768 (270 decimal digits) was factored by Kleinjung et al. on December 12, 2009, while the RSA-704 (212 decimal digits) was factored by Bai et al. on July 2, 2012. The RSA-200 (663 bits) was factored by Bahr et al. on May 9, 2005, while he RSA-210 (696 bits) was factored by Propper on September 26, 2013. In this paper the author will discuss an estimation method to approach the lower/upp...