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** Authors are invited to submit manuscripts for December 2019 issue.

** November 2019 issue of AARF Journals is officially released.

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S.No Particular Pdf Page No.
1
  • ON THE NON-HOMOGENEOUS CUBIC EQUATION WITH FIVE UNKNOWNS EQUATION


S.Vidhyalakshmi, M. A. Gopalan, K. Lakshmi

Abstract:
We obtain infinitely many non-zero integer solutions (x, y, z,w,T) satisfying the nonhomogeneous cubic equation with five unknowns given by 2 2 3 x  xy  y  z w T .


1-8
2
  • SPECTRAL CHARACTERIZATIONS OF ELEMENTS IN SEMISIMPLE BANACH ALGEBRAS


Dr. Naresh Kumar Aggarwal, Mangat Ram

Abstract:
We recall some definitions and properties of spectrum and spectral radius in Banach algebras and introduce some spectral characterizations of elements in semisimple Banach algebras.


9-15
3
  • CONSTRUCTION OF D(5)– DIO QUADRUPLES


S. Vidhyalakshmi, A.Kavitha, M.A.Gopalan

Abstract:
The problem of constructing the sets with property that the product of any two of its distinct elements is one less than a square has a very long history and such sets were studied by Diophantus [5].


16-20
4
  • DISCRIMINATORS OF EXCEL USERS WITH ADVANCED AND AVERAGE LEVEL SKILLS IN MANAGEMENT AND RESEARCH INSTITUTES


Jignasu Yagnik

Abstract:
Microsoft office is the most widely used Office productivity software worldwide. Over the time, its applications viz. Word, Excel, and PowerPoint have grown immensely, in terms of features and functionalities, a majority of features remain unused by a vast majority of users possessing basic or average level skills.


21-28
5
  • SPECIAL PYTHAGOREAN TRIANGLES AND 5-DIGIT DHURUVA NUMBERS


M. A. Gopalan, S. Vidhyalakshmi, E. Premalatha, K. Presenna

Abstract:
Pythagorean triangles, each with a leg represented by a 5-digit Dhuruva number are obtained. A few interesting results are given.


29-33
6
  • MOUFANG ELEMENTS AND THEIR AUTOTOPISM PROPERTIES


Ademola, Lois Adewoye,

Abstract:
An inverse property Loop 𝐿, such that its elements satisfy the property 𝑢𝑥 𝑦𝑢 =[𝑢 𝑥𝑦 𝑢] for all 𝑥,𝑦∈𝐿 is called a Moufang loop and its elements are called Moufang elements.


34-38
7
  • LOAD FLOW STUDIES ON NIGERIA 330KV NATIONAL GRID SYSTEM, USING NEWTON-RAPHSON’S METHOD


IBEKWE, B.E. Nwobodo Harmony Nnenna Engr. Eyisi R.O.

Abstract:
Reactive power and voltage control constitute part of the major challenges in power system industry. Compensation in power system is very essential to eradicate the problem of constant power failure and outage in Nigeria power system


39-51
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