In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test. Moreover, new modifications are suggested in order to eliminate pseudoprimes. The study covers random primes such as Mersenne primes and Proth primes. Finally, these tests are arranged from the best to the worst according to strength, speed, and effectiveness based on the results obtained through programs prepared and operated by Mathematica, and the results are presented through tables and graphs.
In this review paper, several research studies were surveyed to assist future researchers to identify available techniques in the field of infectious disease modeling across complex networks. Infectious disease modelling is becoming increasingly important because of the microbes and viruses that threaten people’s lives and societies in all respects. It has long been a focus of research in many domains, including mathematical biology, physics, computer science, engineering, economics, and the social sciences, to properly represent and analyze spreading processes. This survey first presents a brief overview of previous literature and some graphs and equations to clarify the modeling in complex networks, the detection of soc
... Show MoreEmotion could be expressed through unimodal social behaviour’s or bimodal or it could be expressed through multimodal. This survey describes the background of facial emotion recognition and surveys the emotion recognition using visual modality. Some publicly available datasets are covered for performance evaluation. A summary of some of the research efforts to classify emotion using visual modality for the last five years from 2013 to 2018 is given in a tabular form.
Synthesis and study liquid crystalline properties of novel Benzimidazol-8-hydroxyquinoline complexes by reaction of a-Chloro acetic acid with 3,3'-dimethylbiphenyl-4,4'-diamine in 10% aqueous sodium hydroxide to synthesized compound [I] then the later compound reacted with o-phenylenediamine in 4N Hydrochloric acid to synthesized compound N4,N4'-bis((1H-benzo[d]imidazol-2-yl)methyl)-3,3'-dimethyl-[1,1'-biphenyl]-4,4'-diamine =[II] . While the complexes [III],[IV],[V],[VI] and [VII] synthesized from reacted compound [II] , 8-hydroxyquinoline with metal(II) salts { M= Mn(II), Fe(II), Ni (II), Cu(II),and Zn(II)}. Newly synthesized compounds were characterized using melting points, FT-IR, UV-Vis spectra, and some of them 1H NMR spectroscopy. ma
... Show MoreOptimization of gas lift plays a substantial role in production and maximizing the net present value of the investment of oil field projects. However, the application of the optimization techniques in gas lift project is so complex because many decision variables, objective functions and constraints are involved in the gas lift optimization problem. In addition, many computational ways; traditional and modern, have been employed to optimize gas lift processes. This research aims to present the developing of the optimization techniques applied in the gas lift. Accordingly, the research classifies the applied optimization techniques, and it presents the limitations and the range of applications of each one to get an acceptable level of accura
... Show MoreThis paper is intended to focus on the existing relation between 'logic' and 'meaning', and how 'meaning' is looked at through logical perspective. Besides, this paper adopts simple logical symbols to represent some aspects of meaning.
Since meaning is still regarded as a thorny area that needs further study to determine its nature and borderline, this paper proposes to resort to logic and logical rules. This paper points out how logical rules are used and how they clarify some oblique sentences. The paper also sheds light on how meaningful sentences are logically symbolized and how logic can define the borderline of meaning in an adequate manner. This paper hypothesizes that logic, l
... Show MoreNowadays, there are a huge number of video colorization methods. This is because in the gray scale image one value (gray) must be converted into three corresponding values (RGB). In this paper, some of these methods have been presented and discussed. Then, different comparisons have been established between these methods and the results demonstrate the efficiency of each method.
In this review paper, several research studies were surveyed to assist future researchers to identify available techniques in the field of infectious disease modeling across complex networks. Infectious disease modelling is becoming increasingly important because of the microbes and viruses that threaten people’s lives and societies in all respects. It has long been a focus of research in many domains, including mathematical biology, physics, computer science, engineering, economics, and the social sciences, to properly represent and analyze spreading processes. This survey first presents a brief overview of previous literature and some graphs and equations to clarify the modeling in complex networks, the detection of societie
... Show MoreThe Internet is the hallmark of the age of technology and this technology is complemented by the presence of software which is one of the basic components of the operation of the network and it is used in almost all daily life aspects such as industry, commerce and others. Because the digital documents and objects can be easily replicated and distributed at an economically low cost and as the software is a type of digital object, the problem of software watermarking risen as related to how to protect data from piracy. Therefore, various techniques have been developed to protect codes from misusing and unauthorized alteration. Each of them is known as watermarking technology that protects data by inserting secret information into software
... Show MoreIn this paper the chain length of a space of fuzzy orderings is defined, and various properties of this invariant are proved. The structure theorem for spaces of finite chain length is proved. Spaces of Fuzzy Orderings Throughout X = (X,A) denoted a space of fuzzy orderings. That is, A is a fuzzy subgroup of abelian group G of exponent 2. (see [1] (i.e. x 2 = 1,  x  G), and X is a (non empty) fuzzy subset of the character group ï£ (A) = Hom(A,{1,–1}) satisfying: 1. X is a fuzzy closed subset of ï£ (A). 2.  an element e  A such that ï³(e) = – 1  ï³ ïƒŽ X. 3. Xïž :={a  A\ ï³(a) = 1  ï³ ïƒŽ X} = 1. 4. If f and g are forms over A and if x  D(
... Show MoreAbstract
The perpetuity of the Quranic discourse required being suitable for all ages.
Accordingly, the method of the Glorious Quran a pre request for the conscious
investigation and realization in order to detect the core of the texts, as the Quranic
discourse is considered a general address for the humanity as a whole. For this
reason, the progress of the concerned studies neceiated that it should cope with the
current development in the age requirements and its cultural changes within ages.
The texts of the Glorious Quran lightened the human reason as being the
Creator’s miracle for it is characterized by certain merits that makes it different from
poetry and prose. It is a unique texture in its rheto
... Show More