PURKH (E-Journals)
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Garay’s Condition of Deformed Cylindrical and Translation Surfaces in E3
Get PDFThe motivation of the present work is to develop the finiteness property in our work [1, 2, 3, 4] by using Garay’s condition [5]. The mean curvature flow and the finiteness property of the cylindrical surfaces in E3 are investigated. Additionally, the linear deformation of such surfaces is studied. Finally, the translation surfaces are discussed
An Introduction To Complex Arithmetic and an Original Reformulation of the Goldbach Conjecture
No full textIn this paper, we give an original reformulation of the Goldbach conjecture via complex arithmetic calculus. This reformulation shows that the Goldbach conjecture can be attacked without using strong investigations that have been on this conjecture in the past
Study of Einstein Solutions And Symmetries of Type N Pure Radiation Field
Get PDFIn the present research paper, we study Einstein solitons with a physical interpretation of the notion of the vector field associated with Einstein solitons. We investigate the geometrical symmetries of Petrov type N pure radiation fields along the vector field also associated with Einstein solitons
Definition Of Derivative Function:Logical Error In Mathematics
Get PDFThe critical analysis of the foundations of the differential calculus is proposed. Methodological basis of the analysis is the unity of formal logic and of rational dialectics. It is shown that differential calculus is fictitious mathematical theory because the concept of the limiting process is the starting point for definition of the derivative function. The passage to the limit “zero” in the definition of the derivative function signifies that the variable quantity takes the only essential value “zero”. This fact leads to the following errors. (1) The definition of the derivative function is based on the violation of the necessary and sufficient condition for the validity of the relationship between the increment of the function argument and the increment of the function because the increment of the function is divided by the zero increment of the argument in the case of the limiting process. (2) The definition of the derivative function is based on the contradiction which is that the increment of the argument is both zero and not zero in the same relationship. This contradiction represents a violation of the formal-logical law of identity and of the formal-logical law of the lack of contradiction. (3) The definition of the differential of function is based on two contradictory (mutually exclusive) features: the differential of the argument is not zero while the increment of the argument in the definition of the derivative function is zero
Product of Polycyclic-By-Finite Groups (PPFG)
Get PDFIn this paper we show that If the soluble-by-finite group G=AB is the product of two polycyclic-by-finite subgroups A and B, then G is polycyclic-by-finit
Weak and Strong Convergence of Implicit and Explicit Algorithms for Total Asymptotically Nonexpansive Mappings
Get PDFIn this paper, we prove weak and strong convergence of implicit and explicit iterative algorithms for approximation of common fixed point of a finite family of total asymptotically nonexpansive mappings. Our recursion formulas seem more efficient than those recently announced by several authors for the same problem. Our theorems improve, generalize and extend several recently announced results
Annual Reviewer Acknowledgement
No full textThe Editorial team of the journal would like to thank the following reviewers for their work in refereeing manuscripts during 201
Editorial, Volume 4 (2019)
Get PDFOn behalf of the Editorial Board, it is with great pride and sincere privilege that I am writing this message to present the volume 4 (2019) of the MathLAB JOURNAL. The issue comes from a long process, and we took all the necessary steps to make it a high-caliber scientific publication. We are relying on the collaboration of all our Editors, reviewers, and contributors to make it a contemporary, lively, and relevant publication
A Mean Reverting Stochastic Process (MRSP) using an AR(n) Model and a Kalman Filter for Generating Intravalues for the Daily DJIA Time Series
Get PDFThis paper presents a model for generating intravalues of time-series. The model uses a mean reverting stochastic process (MRSP). The deterministic or mean part of the process is forecasted by an autoregressive of order n, AR(n), model. The unobservable AR(n) coefficients are calculated by a Kalman Filter using n time series observations. The stochastic part of the process is a Brownian motion multiplied by a volatility term. Measures of the Kalman filter covariance matrix along with the process itself are used to capture the volatility dynamics for the intravalues of the time-series. The MRSP model also provides for the evolution of the intravalues of the time series. Experimental results are presented demonstrating the applicability of the model using daily data from the Dow Jones Industrial Average (DJIA) time series
Social Network Infusion Model in Nigerian Tertiary Institutions
No full textThis study identified the Social Media that were most commonly used by students of tertiary institutions across south-western Nigeria. Structured questionnaires were used to collect information about the Social Media that were adopted by students of tertiary institutions in Nigeria. The results of the study showed that social media adopted were: Facebook, Twitter, Instagram, SnapChat, WhatsApp, LinkedIn, WeChat, ResearchGate, Academia and Line; the most commonly used social media included: Facebook, SnapChat, Twitter and Instagram by at least 55% of the students while ResearchGate, Line, Academia, WeChat and LinkedIn accessed only when there were notifications. The results also showed that the earliest adopted social media included: Facebook in 2007 with 1 user, Twitter in 2009 with 3 users, Instagram and WhatsApp in 2010 with 1 and 8 users respectively. The impact of social media showed that at least 67% of the students suggested it had good impacts on their productivity and functionality as students. This study concluded that among the identified social media, about 55% of students agreed that Facebook, Twitter, Instagram, SnapChat, LinkedIn, Line and ResearchGate were more presently in use. This study showed that using a polynomial model of degree m, the total number of students of higher institutions adopting social media from the year of adoption can be estimated based on the value of the number of years after social media adoption, n (in years)