# Research Journal of Mathematics and Computer Science

## An Algorithmic Random-Integer Generator based on the Distribution of Prime Numbers

Research Article of Research Journal of Mathematics and Computer Science An Algorithmic Random-Integer Generator based on the Distribution of Prime Numbers Bertrand Teguia Tabuguia Ph.D. student, Computer Algebra, Mathematics and Natural Sciences, University of Kassel, Germany, Heinrich-Plett-Str.40, 34132 Kassel We talk about random when it is not possible to determine a pattern on the observed out-comes. A computer follows a sequence of ﬁxed instructions to give any of its output, hence the diﬃculty of choosing numbers randomly from algorithmic approaches. However, some algorithms like the Linear Congruential algorithm and the Lagged Fibonacci generator appear to produce “true” random sequences to anyone who does not know the secret initial input [1]. Up to now, we cannot rigorously answer the question on the randomness of prime numbers [2, page 1] and this highlights a connection between random number generator and the distribution of primes. From [3] and [4] one sees that it is quite naive to expect good random reproduction with prime numbers. We are, however, interested in the properties underlying the distribution of prime numbers, which emerge as suﬃcient or insuﬃcient arguments to conclude a proof by contradiction which tends to show that prime numbers are not randomly distributed. To achieve this end, we use prime gap sequence variation. Our algorithm makes possible to deduce, in a binary choice case, a uniform behavior in the individual consecutive occurrence of primes, and no uniformity trait when the occurrences are taken collectively. Keywords: Pseudo random-number generator, Prime numbers ...

## An Analysis of Cybercrime Awareness Amongst First Year Students in Nigerian Private University

Research Article of Research Journal of Mathematics and Computer Science An Analysis of Cybercrime Awareness Amongst First Year Students in Nigerian Private University Balogun O*, Hinmikaiye J, Adegbenle A.A, Oyebode A.A, Akinshola J, Nzenwata U.J Department of Computer Science, Babcock University, Nigeria The prevalence of Cybercrime the World over threatens to destroy the very fabric of peace. From financial fraud to theft identity, the ways in which this act continue to evolve and penetrate the most secure of digital entities calls for worry. A more disturbing trend is the perception of Nigerians being the purveyor of such acts. This study therefore seeks to find out what young Nigerians actually know about cybercrimes in order to gain an insight into what actually drives it and if possible, to discourage such acts from a tender age. Results show the perception of the World is not unfounded and recommendations that may go a long way in making this venture unattractive is highlighted. Keywords: Cybercrime Awareness, First Year Students, Nigerian Private University ...

## The series of Semigroup Theory via Functional Calculus

Research Article of Research Journal of Mathematics and Computer Science The series of Semigroup Theory via Functional Calculus Simon Joseph a,* , Ahmed Sufyan b aUniversity of Bahr El-Ghazal , Faculty of Education , Department of Mathematics , South Sudan . bMinistry of Education , Department of Mathematics , Sultanate Oman . Present panorama of the sequence of operators classes with their associated functional calculi , relevant in semigroup theory : the sequence of operators of halfplane , strip ,sector and parabola-type . It is shown that the basic results in the theory of C0-semigroup (the Hille-Yosida and the Trotter-kato theorem) follow easily from general functional calculus principles by Markus Haase [9] . The introduction of parabola-type sequence of operators allows to treat cosine the sequence of operators functions by functional calculus methods . Keywords:C0-semigroup , Functional calculus , Hille – Yosida , Trotter – Kato ...

## A Neuro-Fuzzy System For Diagnosis of Soya-Beans Diseases

Research Article of Research Journal of Mathematics and Computer Science A Neuro-Fuzzy System For Diagnosis of Soya-Beans Diseases Rahmon,I.A, Adebola Akinsanya and Eze, M.O Department of Computer Science, Babcock University,Ilishan-Remo, Ogun State, Nigeria. Soyabean is an important legume crop, extensively cultivated for food on which low-income population highly depend because of its proteineous nutrient on daily basis for food.The efforts of farmers to specifically identify the specific pests responsible for damaging of plants segment such as petioles, roots, stem, pod and leaves still remain vague and imprecise to many farmers. In this work, a neuro-fuzzy system will be built with MATLAB version 8 with 100 rules on five input parameters as linguistic variables or symptoms into the system to determine the disease type either as fungi or bacteria or virus, and to also determine intensity rate as the output in form of a crisp. The output of the system will produce results for the decision maker to provide solution regarding the treatment of the infected plant for bountiful and quality harvest. Keywords: Neuro-fuzzy system,crisp,matlab ...

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