Indexing

Abstract: The purpose of this study was to investigate the effects of leadership strategies on performance of Uasin Gishu County. The study was guided by the following specific objectives; to evaluate the effect of work environment on performance in Uasin Gishu County. The study was guided by Transformational Leadership Theory. A descriptive survey research design was employed with a target population of 95 respondents consisting of the county executive committee members, county chief officers, county directors, chief principals, and principals. The data collection instrument was questionnaires both closed and open ended.  Piloting was done to test the validity and reliability of the data collection instrument. Data collected using questionnaires was entered and analyzed using Statistical Package for Social Science (SPSS) software. In addition, inferential statistics that include Analysis of variance, Pearson correlation and multiple regression analysis was used establishing the nature and extent of relationship between variables. To ascertain the relationship between the independent variables and the dependent variable, a regression model was used. In conclusion basing on the findings, the study concluded that working environment has a significant effect on performance of Uasin Gishu county government. The study recommended that the management of the county government of Uasin Gishu should provide their employees a fair and conducive working condition to enable high performance. Due to an ever changing environment, the county government of Uasin Gishu should embrace regular trainings to enhance high and required competencies that facilitates good county government performance. The management of the county government of Uasin Gishu should establish a good relationship with their stakeholders through provision of good reception to enhance customer satisfaction. The study is useful to all the stakeholders in the County governments.

Keywords: Working Environment, Organizational Performance.

Title: LEADERSHIP STRATEGIES ON PERFOMANCE IN COUNTY GOVERNMENT OF UASIN GISHU, KENYA

Author: Jack Wainaina Kariuki, Dr.  Elizabeth Nambuswa Makokha, Dr.  Duncan Nyaberi

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 37-53

Paper Publications

Website: www.paperpublications.org

Published Date: 22-September-2022

Abstract: This paper will examine the broad idea of the metaverse, identify key concepts, distinguish between terms used in the metaverse, and discuss the space's implementation, cybersecurity, and historical aspects. Additionally, covered in the paper are Web 3.0's introduction to the metaverse and how blockchain has evolved into a key building block for a successful metaverse project. The paper defined haptics and described its crucial function in the immersive AR/VR experience. It draws attention to contentious cybersecurity concerns with the Metaverse, including identity as the new perimeter and privacy issues there. The study addresses the metaverse's economic implications and how they will change how people live and work globally. Additionally, it highlights the significance of the metaverse and how this technological breakthrough will affect the labor market in the future. The study briefly discusses the metaverse's major phases at this crucial juncture in human history. The best ways to safeguard yourself in the metaverse are also covered in the study.

Keywords: Metaverse FORTNITE MINECRAFT RUNESCAPE SECOND LIFE Web 2.0 Web 3.0.

Title: What is The Metaverse?

Author: Alfraih, Mohammed, Essa, Abdullah

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 34-36

Paper Publications

Website: www.paperpublications.org

Published Date: 09-September-2022

Abstract: This study is focused on the encrypting and decrypting of messages using the Linear Diophantine Equation: ax+by=c  where gcda,b=1 , that is the integers a  and b  are relatively prime. Like any encrypting and decrypting process, a number code, the integers  a  and b , and the flow of the process must be known to both the messenger and the receiver of the message. In this particular study, the message is encrypted by using the number code that results when the values of x  and  y  are solved from the equations: 1  x=x0+bt   and   2   y=y0-at  , where t ∈Z   and  x0,y0  is a particular solution of the Linear Diophantine Equation (ax+by=c  where gcda,b=1 ). The values of x  and  y  are solved by substituting t  with the specific number code assigned to each letter in the message. Since the encrypted message is dependent on the coding agreed both by the messenger and the receiver, the receiver is able to decrypt the message by finding the value of  t  and use the corresponding number code, and the schematic diagram.

Keywords: cryptography, linear Diophantine equation, encrypt, decrypt, encode, decode.

Title: Cryptography Using Linear Diophantine Equation

Author: Mark Kenneth C. Engcot

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 28-33

Paper Publications

Website: www.paperpublications.org

Published Date: 08-August-2022

Abstract: The author used steps to show that all number using 3n + 1 conjecture will fall to 4, 2 and eventually 1. And that only one cycle exists. The positive integers may lie to patterns. These could be called traps. A flowchart was used. Each number will have a particular ID dictated by the flowchart. Then an analysis explaining that it ends in 1 and only having one cycle – the 4, 2 and 1 cycle. The number could reach “infinity” but still has a tail.

Keywords: Collatz conjecture, Flowchart, Generalized Collatz Conjecture, Identification, Inequality.

Title: Proof of Collatz Conjecture: The Traps, a Flowchart, Their IDs (Number Identification), a Table or Summary, Collatz Conjecture Inequality and Analysis

Author: Ismael Tabuñar Fortunado

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 20-27

Paper Publications

Website: www.paperpublications.org

Published Date: 18-July-2022

Abstract: This paper illustrates the process of obtaining different sets of non-zero distinct integer solutions to the non-homogeneous ternary quadratic Diophantine equations given by x²+y²=z²-2k².

Keywords:  non-homogeneous quadratic, ternary quadratic, integer solutions.

Title: On finding Integral Solutions of Ternary Quadratic Equation

Author: S.Vidhyalakshmi, M.A.Gopalan

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 16-19

Paper Publications

Website: www.paperpublications.org

Published Date: 20-June-2022

Abstract: In this paper, based on Jumarie’s modified Riemann Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we study some fractional integral problems. The main methods we used are the trigonometric substitution method and change of variables for fractional calculus. In fact, these results we obtained are generalizations of those in traditional calculus. On the other hand, some examples are provided to illustrate how to use these methods to evaluate the fractional integrals.

Keywords: Jumarie’s modified R-L fractional calculus, new multiplication, fractional analytic functions, fractional integral, trigonometric substitution method, change of variables.

Title: Using Trigonometric Substitution Method to Solve Some Fractional Integral Problems

Author: Chii-Huei Yu

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 10-15

Paper Publications

Website: www.paperpublications.org

Published Date: 30-May-2022

Abstract: Nowadays, smartphones, camcorders, and security cameras are extensively used in many areas of daily life, such as offices, traffic lights, houses, dormitories, and more. Besides that, video content editing software like Window Movie Maker, Video Editor, Adobe Photoshop, Adobe After Effect, etc., are also widely available. They have many methods for editing video content easily. So, anyone can edit video content at their willing; even edited content contrast with original content. Recently, the rapid development of deep learning-based techniques have created deepfake videos with characters' faces replaced by other faces automatically, such as FakeApp, Faceswap, etc. That leads to "seeing is no longer believing.". Also, an authentic video provides stronger evidence in court. Therefore, video forgery detection proves that video authenticity has become an urgent requirement today.

Keywords: Video forgery detection; Video forensic; Deepfake video detection; Deep learning; convolutional neural network.

Title: Video Forgery Detection: State-of-The-Art Review

Author: Xuan Hau Nguyen, Thai Son Tran

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 9, Issue 1, April 2022 - September 2022

Page No: 1-9

Paper Publications

Website: www.paperpublications.org

Published Date: 10-May-2022