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S.No Particular Pdf Page No.
1

Reema Bishnoi

Abstract:
In algebraic geometry, the geometric properties of the solutions of systems of polynomial equations are examined using methods from algebra, geometry, and number theory. This robust framework allows us to understand and characterize the geometry of algebraic varieties, which are collections of points in a multi-dimensional space characterized by polynomial equations. The richness and diversity of algebraic geometry stem from its connections to other areas of mathematics, such as complex analysis and topology. One of the main focuses of algebraic geometry is algebraic varieties, which are geometric objects that satisfy a set of polynomial equations. These varieties can be described over a broad variety of fields, from the complex numbers to the real numbers to the finite fields. Discovering more about the dimensions, singular points, and crossings of these varieties is the goal of algebraic geometry.


1-15
2

Amrendra Kumar Dr. Purushottam

Abstract:
The present paper provides the boundary layer equation for the two-dimensional flow of a power law fluid along with solutions of free stream velocity u(x) and scaling function g(x). We have also discussed here the theory of similar solutions of the boundary layer equations for power low fluids on the same lines as is usually done for Newtonian fluids.


16-27
3

Kusumbar Baishya

Abstract:
In this paper, we use Lyapunov exponents to confirm the chaotic region and look at the graphs of time series analysis to back up our periodic orbits of periods 20, 21, 22 and so on, as well as the chaotic behavior on nonlinear discrete model: µ: [0,4] →[0,4], µ(x) = cx2 -dx in which c = -1 and d is a tunable parameter in the range of [-4, -1].


41-48
4

BIPUL KUMAR

Abstract:
This article discusses the generalization of classical derivations to ring theory derivations. This generalization, created by Chinese mathematician Chen defined on a ring R and preserved only certain algebraic structures. We review the various definitions, properties, and applications of generalized derivations in prime semiprime rings. Key results include characterizing a generalized derivation by how it acts on ideals as well as commutators; and linking them with other algebraic notions. After introducing examples and theorems that suggest new questions for study, such as their behavior inside nonassociative rings or when extended to modules as endomorphisms of an algebraic structure, we set out to lay the groundwork needed so that others, interested in algebraic derivations and their generalizations can benefit from it.\r\n


49-53
5

Dr. Sujit Kumar

Abstract:
In the present paper we have investigated interior solution for an electric and scalar charged fluid sphere using some suitable assumptions in general theory of relativity. We have also found and discussed pressure, mass density, charge density and scalar charge density along with their values at the centre.


54-59
6

Dr. Ramesh Kumar

Abstract:
\\r\\nIn the present paper we have deals with interior solutions for spherical symmetry in Einstein-Maxwell theory for higher dimensions. \\r\\n Here we have found various solutions in different cases. The parameters appearing in these solutions can be evaluated by matching the solutions to the exterior Reissner-Nordstrom metric in higher dimensions. The higher dimensional spherically symmetric metric is taken in the form \\r\\n


60-65
7

Binod Kumar Tiwari , Dr. Pratibha Yadav

Abstract:
In this paper we establish the Wintner oscillation criterion for system by using matrix Riccati type transformation, the generalized averaging pairs and positive linear functional. By using the positive linear functional, including the general means and Riccati technique, some new oscillation criteria are established for the second order matrix differential equations


66-80
8

Dr. Anju Sharma,

Abstract:
A characterization of the Varshamov-Gilbert bound for linear cyclic codes over finite fields involves demonstrating that these codes, or specific subclasses thereof, can achieve or closely approach this bound. Research in this area focuses on constructing families of cyclic codes with good parameters, showing they are "good" codes (i.e., they meet the Gilbert-Varshamov bound) by using finite field properties and probabilistic methods. Studies investigate the existence of such codes, their asymptotic behavior, and how they relate to other types of codes like quasi-cyclic codes. The theoretical tool used to prove the Varshamov-Gilbert bound, which demonstrates the existence of codes with desired properties without explicitly constructing them. The codes produce quantum codes that encode a single state with n q-ary qubits and have a minimum distance proportional to n. They are self-dual with regard to the symplectic inner product.


81-92
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