“…Harmonic mean is suitable for algebraic calculation and other mathematical treatments and also suitable for directly aggregated negative indicators. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The nonlinear system of differential equations for the model is represented using Atangana–Baleanu fractional derivative in Caputo sense and the Jacobi spectral collocation method is used to convert this system into an algebraic system of equations, which is then solved using inexact Newton’s method. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Furthermore, the metric cone over the Sasakian manifold is a conifold algebraically embedded in some C^p. The ring of chiral primary fields is defined as the coordinate ring of C^p modded by the ideal generated by the embedding equations; this ideal has a nice characterization by means of representation theory. …”
Enlace del recurso
Enlace del recurso

“…I address these questions by leveraging an algebraic continuous system for word meaning that is itself constrained by two fundamental parameters: control-asymmetry and connectedness. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The supporting information covers novel extensions of quaternion methods to the 4D Euclidean spatial-coordinate alignment and 4D orientation-frame alignment problems, some miscellaneous topics, and additional details of the quartic algebraic eigenvalue problem.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. …”
Enlace del recurso
Enlace del recurso

“…A cyclic cohomology theory for operator algebras is developed in the book, based on Connes' work on noncommutative geometry. …”
Enlace del recurso
Enlace del recurso

“…We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.…”
Enlace del recurso
Enlace del recurso

“…The C.I.M.E. session in Diophantine Approximation, held in Cetraro (Italy) June 28 - July 6, 2000 focused on height theory, linear independence and transcendence in group varieties, Baker's method, approximations to algebraic numbers and applications to polynomial-exponential diophantine equations and to diophantine theory of linear recurrences. …”
Enlace del recurso
Enlace del recurso

“…Besides many enhancements and  new paragraphs,  new sections on Geometric and Coordinate Transformations, Quaternions and Applications, and Lie Groups and Lie Algebras were added for the sixth edition.…”
Enlace del recurso
Enlace del recurso

“…The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics.…”
Enlace del recurso

“…The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. …”
Enlace del recurso
Enlace del recurso

“…The deceptive simplicity of this statement hides immensely rich mathematical properties, connecting dynamical systems, algebraic geometry, Coxeter groups, topology, special functions theory, and mathematical physics. …”
Enlace del recurso

“…Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis. …”
Enlace del recurso
Enlace del recurso

“…It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution. …”
Enlace del recurso

“…This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. …”
Enlace del recurso

“…It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds. Another important tool in our approach is the Chow norm introduced by Zhang. …”
Enlace del recurso
Enlace del recurso

“…This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. …”
Enlace del recurso
Enlace del recurso

“…However, in pursuit of the solution of the Pioneer Anomaly and other anomalies, the paper of 1905 is analyzed line for line, and several highly important algebraic errors are discovered. The end result of rerunning Einstein's equation's without these errors is the fine-tuning of the famous transformation term gamma, and the discovery of heretofore overlooked first-degree transforms. …”
Enlace del recurso

“…The special example in which the flow has period six is worked out in more detail, and we show that in that case the boundary of the rough disordered region is an algebraic curve of degree eight.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso