Research Highlights in Mathematics and Computer Science Vol. 2

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Editor(s)
Dr. Luigi Giacomo Rodino
Professor, Department of Mathematics, University of Turin, Italy.

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ISBN 978-93-5547-911-2 (Print)
ISBN 978-93-5547-912-9 (eBook)
DOI: 10.9734/bpi/rhmcs/v2

This book covers key areas of Mathematics and Computer Science. The contributions by the authors include finite difference, mathematical induction, integral order, positive powers, reproductive property, approximations, autoregression, edgeworth expansions, unitary roots, time series, adjacency matrix, linear feedback shift register, logical XOR, encryption, decryption, manual and automated scalable solutions, integer factorization, boolean-equation solving, modular karnaugh map, algorithmic implementation, cryptography, encryption-decryption algorithms, gaussian primes, cyclic symmetric matrix, difference equations, stochastic perturbations, lyapunov functions, linear matrix inequalities, asymptotic mean square stability, stability in probability, numerical simulations, fourier transform, bras and ket in hilbert space, principles of quantum mechanics, schrödinger equations, photons of bohr, Pascal's theorem and computational methods in geometry. This book contains various materials suitable for students, researchers and academicians in the field of Mathematics and Computer Science.

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Published: 2022-10-31

Chapters

Order of Integral Perfect Powers: A Mathematical Approach

Ladan Umaru Ibrahim, Ukwu Chukwunenye, Apine Elijah

1-10
Approximations to the Distribution of the Sample Autocorrelation Coefficient in the Presence of Unit Roots

Juan Carlos Abril, María De Las Mercedes Abril

11-24
Double Fold Encryption Algorithm Using Adjacency Matrix and Linear Feedback Shift Register (LFSR) as Diffusion

Ch Suneetha

25-36
A Scalable Hardware Circuit for Factoring an n-bit Integer: Analytic and Computational Perspectives

Ali Muhammad Rushdi, Sultan Sameer Zagzoog, Ahmed Said Balamesh

37-64
A Cryptographic Algorithm Based on Large Gaussian Primes and Primes

G. Janaki, A. Gowri Shankari

65-78
Stability Investigation of Systems of Nonlinear Stochastic Difference Equations

Leonid Shaikhet

79-92
A Concise Study about Fourier Transform and Principles of Quantum Mechanics

Do Tan Si

93-103
Computational Proof of Pascal's Hexagon Theorem and Some Applications

Nedeljko Stefanovic

104-115
Modelling Seasonal Volatility and Level Shift in Fractionally Integrated Processes

Lawrence Dhliwayo, Florance Matarise , Charles Chimedza

116-142

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