Algebraic constructions

The study studies the problem naturally through relatively elementary results, including those from number theory and quadratic forms, to construct the formula to calculate the number of solutions of the aforementioned congruence.

8p visergeyne 18-06-2024 1 0   Download

Part 1 of ebook "Finite frames: Theory and applications" provides readers with contents including: Chapter 1 - Introduction to finite frame theory; Chapter 2 - Constructing finite frames with a given spectrum; Chapter 3 - Spanning and independence properties of finite frames; Chapter 4 - Algebraic geometry and finite frames; Chapter 5 - Group frames; Chapter 6 - Gabor frames in finite dimensions;...

250p giangdongdinh 28-05-2024 4 2   Download

The structure sense is a part that must be learned in order to help understand and construct connection in abstract algebra. This study aimed at building the pattern of a structure sense as a profile of the structure sense in group property. Using a qualitative study, the structure sense of group property was explored through lecturing activity of abstract algebra course from two individual assignments given to the students.

11p viarnault 25-04-2024 2 1   Download

Ebook "Many-body methods for atoms, molecules and clusters" provides an introduction to many-body methods for applications in quantum chemistry. These methods, originating in field-theory, offer an alternative to conventional quantum-chemical approaches to the treatment of the many-electron problem in molecules.

330p tracanhphuonghoa1007 22-04-2024 4 3   Download

Part 1 of ebook "Category theory for programmers" provides readers with contents including: category the essence of composition; categories great and small; simple algebraic data types; natural transformations; declarative programming; free monoids; representable functors; the yoneda lemma; yoneda embedding;...

270p tieulangtran 28-09-2023 4 1   Download

The paper extends author’s method of modular distributions to arithmetic automorphic L functions on general classical groups. Main resultat gives a p-adic interpolation of their critical L values in the form of integrals of distributions constructed from a given eigen function of Hecke algebras by applying BGG modules.

26p vioracle 25-09-2023 7 2   Download

In 1850, Puiseux solved the problem of finding roots of complex polynomials in two variables and proved that the field of these series is algebraically closed. His proof provided an algorithm constructing the roots.

13p viberkshire 09-08-2023 7 4   Download

Continued part 1, part 2 of ebook "Guide to scientific computing in C++ (Second edition)" has presents the following content: templates; errors, exceptions and testing; developing classes for linear algebra calculations; an introduction to parallel programming using MPI; designing object-oriented numerical libraries; linear algebra; other programming constructs you might meet; solutions to exercises;....

139p dieptieuung 20-07-2023 10 5   Download

(BQ) Ebook From current algebra to quantum chromodynamics: A case for structural realism – Part 2 presents the following content: Theorizations of scaling; the advent of QCD; early justifications and explorations; structural realism and the construction of QCD; structural realism and the construction of the CA-QCD narrative.

203p runordie7 30-08-2022 14 5   Download

This paper studies categories of definable subassignments with some category equivalences to semialgebraic and constructible subsets of arc spaces of algebraic varieties. These equivalences lead to the identity of certain Grothendieck rings, which allows us to compare the motivic measure of Cluckers-Loeser with that of Denef-Loeser for certain classes of definable subassignments.

27p viangelamerkel 18-07-2022 7 2   Download

Lecture Compiler construction: Lesson 12 - Sohail Aslam. The main topics covered in this chapter include: Parse trees, precedence and these two derivations point out a problem with the grammar, xreate a non-terminal for each level of precedence, isolate corresponding part of grammar,...

54p youzhangjing_1909 28-04-2022 12 1   Download

A method for constructing a blind signature scheme based on a hidden discrete logarithm problem defined in finite non-commutative associative algebras is proposed. Blind signature protocols are constructed using four-dimensional and six-dimensional algebras defined over a ground finite field GF(p) and containing a global two-sided unit as an algebraic support. The basic properties of the used algebra, which determine the choice of protocol parameters, are described.

15p spiritedaway36 25-11-2021 12 1   Download

For example, we still don’t know if it has the structure of an algebraic group of infinite dimension. In this paper, we will construct the Cremona group functor, calculate its Lie algebra and show that its Lie algebra is simple.

11p tamynhan9 02-12-2020 5 1   Download

The main contents of this chapter include all of the following: Functions, basic types of functions, constructing a table of signs, operations on functions, piecewise-defined functions, functions as mathematical models.

46p larachdumlanat122 26-11-2020 10 0   Download

The main contents of the chapter consist of the following: The relational algebra, unary relational operations, relational algebra operations from set theory, binary relational operations, ER-to-Relational mapping algorithm, mapping EER model constructs to relations.

40p nanhankhuoctai10 23-07-2020 16 2   Download

We find an extension of the q-deformed Virasoro algebra. This deformation includes on an equal footing the usual q-deformed oscillators and the “quons” of infinite statistics. Various representations of Virasoro algebra, both differential and oscillator representation, are considered. A new realization of the generalized q-deformed centerless Virasoro algebra is constructed by introducing a so-called power raising operator.

5p 12120609 01-06-2020 8 1   Download

Let G be a connected real semisimple Lie group with finite center and θ be a Cartan involution of G. Suppose that K is the maximal compact subgroup of G corresponding to the Cartan involution θ. The coset space X = G/K is then a Riemannian symmetric space. Denote by g the Lie algebra of G and g = k + p the Cartan decomposition of g into eigenspaces of θ. Let a be a maximal abelian subspace in p and Σ be the corresponding restricted root system.

9p covid19 11-05-2020 13 0   Download

This paper investigates the potential of non-binary LDPC codes to replace widely used Reed-Solomon (RS) codes for applications in communication and storage systems for combating mixed types of noise and interferences. The investigation begins with presentation of four algebraic constructions of RS-based non-binary quasi-cyclic (QC)-LDPC codes.

11p son248 23-04-2020 59 0   Download

An over-parametrized (three-parametric) R-matrix satisfying a graded Yang-Baxter equation is introduced. It turns out that such an over-parametrization is very helpful. Indeed, this R-matrix with one of the parameters being auxiliary, thus, reducible to a two-parametric R-matrix, allows the construction of quantum supergroups GLp,q(1/1) and Up,q[gl(1/1)] which, respectively, are two-parametric deformations of the supergroup GL(1/1) and the universal enveloping algebra U[gl(1/1)].

9p capheny 28-02-2020 16 0   Download

Integral inequality is part of the inequality. This is a difficult content. It attracts many mathematicians interested in, research and development. Integral inequalities are widely used in optimization problems, calculus, differential equations, integral equations, etc. In this paper, using the order-preserving property of the limit, we describe the construction of some integral inequalities from some known algebraic inequalities.

6p mangamanga 29-02-2020 79 0   Download