Paper's Title:

Integer Sums of Powers of Trigonometric Functions (MOD p), for prime p

Author(s):

G. J. Tee

Department of Mathematics, University of Auckland, Auckland,
New Zealand
tee@math.auckland.ac.nz

Abstract:

Many multi--parameter families of congruences (mod p) are found for integer sums of  q^th powers of the trigonometric functions over various sets of equidistant arguments, where p is any prime factor of q. Those congruences provide sensitive tests for the accuracy of software for evaluating trigonometric functions to high precision.

Paper's Title:

ℵ0 Algebra and its Novel Application in Edge Detection

Author(s):

G. E. Chatzarakis¹, S. Dickson², S. Padmasekaran², S. L. Panetsos¹, and J. Ravi³

¹Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr, spanetsos@aspete.gr

²Mathematics, Periyar University,
Periyar Palkalai Nagar, Salem, 636011, Tamilnadu,
India.
E-mail: dix.bern@gmail.com, padmasekarans@periyaruniversity.ac.in

³Department of Mathematics, Amity University,
Bengaluru, Karnataka,
India.
E-mail: jravistat@gmail.com
 

Abstract:

In this paper a new type of ℵ₀-algebra has been defined. With its help, the fuzzy cross subalgebra and the fuzzy η-relation on the ℵ₀-algebra are introduced and their respective properties are derived. Moreover, the fuzzy cross ℵ₀-ideal of the ℵ₀-algebra is defined with some theorems and intuitionistic fuzzy ℵ₀-ideals of the ℵ₀-algebra are introduced. This fuzzy algebra concept is applied in image processing to detect edges. This ℵ₀-algebra is a novelty in the field of research.

Paper's Title:

SQIRV Model for Omicron Variant with Time Delay

Author(s):

S. Dickson, S. Padmasekaran, G. E. Chatzarakis and S. L. Panetsos

Mathematics, Periyar University, Periyar Palkalai Nagar, Salem,
636011, Tamilnadu,
India.
E-mail: dickson@periyaruniversity.ac.in, padmasekarans@periyaruniversity.ac.in

Electrical and Electronic Engineering Educators, School of
Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr, spanetsos@aspete.gr

Abstract:

In order to examine the dynamics of the Omicron variant, this paper uses mathematical modelling and analysis of a SQIRV model, taking into account the delay in the conversion of susceptible individuals into infected individuals and infected individuals into recovered individuals. The pandemic was eventually controlled as a result of the massive delays. To assure the safety of the host population, this concept incorporates quarantine and the COVID-19 vaccine. Both local and global stability of the model are examined. It is found that the fundamental reproduction number affects both local and global stability conditions. Our findings show that asymptomatic cases caused by an affected population play an important role in increasing Omicron infection in the general population. The most recent data on the pandemic Omicron variant from Tamil Nadu, India, is verified.

Search and serve lasted 0 second(s).