In this paper we obtain some statistical approximation results for a general class of maxproduct operators including the paused linear positive operators.

     Community detection is an important and interesting topic for better understanding and analyzing complex network structures. Detecting hidden partitions in complex networks is proven to be an NP-hard problem that may not be accurately resolved using traditional methods. So it is solved using evolutionary computation methods and modeled in the literature as an optimization problem.  In recent years, many researchers have directed their research efforts toward addressing the problem of community structure detection by developing different algorithms and making use of single-objective optimization methods. In this study, we have continued that research line by improving the Particle Swarm Optimization (PSO) algorithm using a local

The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , it shown that ,for any the inequality , is satisfied ,finally, similar result for chebyshev partition and weighted Ditzian –Totik moduli of smoothness are also obtained.

The legal protection of the human genome is an ethical issue related to the future of human existence.  After the disclosure of the human genetic map, scientific practices and research related to the human genome increased, especially the negative applications of genetic engineering that violates basic human rights, especially the right to human dignity, and pose real challenges to the existence and diversity of  Present and future generations. Therefore, the existence of legal rules at the national and international levels is an absolute necessity to prohibit these threats and to arrange civil and criminal liability for those who violate them.

The main objective of this work is to introduce and investigate fixed point (F. p) theorems for maps that satisfy contractive conditions in weak partial metric spaces (W.P.M.S), and give some new generalization of the fixed point theorems of Mathews and Heckmann. Our results extend, and unify a multitude of (F. p) theorems and generalize some results in (W.P.M.S). An example is given as an illustration of our results.

The Arabs took care of the Arabic language, collected it, and set standards governing it; This is for fear of melody, in order to preserve the language of the Noble Qur’an from distortion, after many of those who are not fluent in Arabic entered Islam; There were many reasons for setting linguistic standards, but although scholars set these standards, we see them often deviate from them, as well as the language’s departure from these restrictions that they set, because language cannot be restricted, as it is subject to the law of use

The Arabs took care of the Arabic language, collected it, and set standards governing it; This is for fear of melody, in order to preserve the language of the Noble Qur’an from distortion, after many of those who are not fluent in Arabic entered Islam; There were many reasons for setting linguistic standards, but although scholars set these standards, we see them often deviate from them, as well as the language’s departure from these restrictions that they set, because language cannot be restricted, as it is subject to the law of use.

This work aims to detect the associations of C-peptide and the homeostasis model assessment of beta-cells function (HOMA2-B%) with inflammatory biomarkers in pregnant-women in comparison with non-pregnant women. Sera of 28 normal pregnant women at late pregnancy versus 27 matched age non-pregnant women (control), were used to estimate C-peptide, triiodothyronine (T3), and thyroxin (T4) by Enzyme-linked-immunosorbent assay (ELISA), fasting blood sugar (FBS) by automatic analyzer Biolis 24i, hematology-tests by hematology analyzer and the calculation of HOMA2-B% and homeostasis model assessment of insulin sensitivity (HOMA2-S%) by using C-peptide values instead of insulin. The comparisons, correlations, regression analysis tests were perfo

The study of fixed points on the  maps fulfilling certain contraction requirements has several applications and has been the focus of numerous research endeavors. On the other hand, as an extension of the idea of the best approximation, the best proximity point (ƁƤƤ) emerges. The best approximation theorem ensures the existence of an approximate solution; the best proximity point theorem is considered for addressing the problem in order to arrive at an optimum approximate solution. This paper introduces a new kind of proximal contraction mapping and establishes the best proximity point theorem for such mapping in fuzzy normed space ( space). In the beginning, the concept of the best proximity point was introduced. The concept of prox