African Diaspora Journal of Mathematics ISSN: 1539-854X, Multidisciplinary UGC CARE GROUP I

The Distribution of Prime Numbers

Dr. Vikash Sharma — Thu, 06 Jun 2024 00:00:00 +0000

Prime numbers are the building blocks of integers. Yet, despite their fundamental importance, their distribution within the number system remains a mystery. This paper will explore the concept of prime numbers and delve into the ongoing exploration of their distribution, including the Riemann Hypothesis, a famous unsolved problem in mathematics.

The Classification of Surfaces and the Möbius Strip

Karuna — Thu, 06 Jun 2024 00:00:00 +0000

Topology is a branch of mathematics concerned with the properties of shapes that persist under continuous deformations, like stretching or twisting. This paper will explore the concept of surfaces in topology, focusing on the classification of surfaces and the unique properties of the Möbius strip, a fascinating one-sided surface.

The Applications of Calculus in Optimization

Manav Thakur — Thu, 06 Jun 2024 00:00:00 +0000

Calculus is a fundamental tool for understanding change. This paper will explore how calculus is applied in optimization problems, where we seek the minimum or maximum value of a function. We will delve into concepts like derivatives and second derivatives to understand how calculus helps us find optimal solutions in various fields.

Plane Gravitational Waves with Wet Dark Energy in Bimetric Relativity

Sulbha R. Suple and S. D. Deo — Thu, 18 Jul 2024 00:00:00 +0000

In this paper, Z =- type plane gravitational wave is studied with source Wet Dark Energy in Rosen’s Bimetric theory of relativity. It is shown that there is nil contribution of Wet Dark Energy in this theory. Only vacuum model can be constructed.

NEW FIXED POINT THEOREMS FOR INTEGRAL TYPE COMPATIBLE MAPPINGS IN CONE METRIC SPACE

Deepak Kumar Tiwari1, Sangeeta Pandey2, Sunil Kumar Gupta3, Avinash Kumar4 — Tue, 03 Sep 2024 00:00:00 +0000

The study of fixed-point theory is very vast area for researchers. It has huge applications in many disciplines of pure and applied part of Mathematics along with Physics, Chemistry, Biology, Computer fields etc. Here we are trying to establish a fixed-point theorem for integral type compatible mapping satisfying integral type contractive inequality in Cone metric space.