Mathematics Research Perspectives de Michael C. Leung

Mathematics Research Perspectives

Michael C. Leung

This book presents and discusses topical research in the study of mathematical equations and algebraic theorems. Topics discussed include an effective factorisation procedure for matrices; generalised derivations and commutativity of rings; the generalised quasilinearisation method for impulsive non-linear non-local boundary value problems; commutativity formulas for fundamental group entropy and finite groups.

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Cuprins

Preface; A Simple & Effective Factorization Procedure for Matrices; On The Growth Sequence of The Free Products of Some Copies of PSL; On Generalized Derivations & Commutativity of Rings; On Nilpotency in Five Dimensional Almost Jordan Right Nilalgebras; On Nilpotency of Almost-Jordan Right-Nilalgebras; Recent Progress on Minimal Ring Extensions & Related Concepts; On Strongly B-I-irresolute Functions; An Ishikawa Iteration for Finding a Common Random Fixed Point; Imaginary Cubic Oscillator & Its Square-Well Approximations in x- & p- Representation; Towards a Characterization of the Linear Groups Over the Binary Field; The Generalized Quasilinearization Method for Impulsive Nonlinear Nonlocal Boundary Value Problems; Bayesian Communication Leading to a Nash Equilibrium; An Algorithm for the Evaluation of the Gamma Function & Ramifications: PART I; Various Addressing Techniques in a Pointerless Quadtree Representation; Biderivations of Upper Triangular Matrix Algebras Over Commutative Rings; Commutativity Formulas for Fundamental Group Entropy; Some Properties of Finitely Presented Groups with Topological Viewpoints; Finite Groups With Some Subgroups Weakly C Star-Normal Subgroups & p-nilpotency; Grom Quotient Operation Toward a Proportional Calculus; GOD Almighty's Grand Unified Theorem (GAGUT), Gij.j = 0: Recognized as the Holy Grail Grand Unified Field Theorem of Everything is Proved to be the Only Absolutely Perfectly Correct Universal Equation That Answers Age Old Questions & All Others; Index