Vectors spaces
The definition of real and complex vector spaces. The calculation of the reference type. Rules of addition and multiplication of scalars. The concept of subset. The direct sum of two subspaces. The calculation of the projection of the vector on the area.
Подобные документы
The fundamentals of the theory of automata, formal languages, and regular, context-free grammar. Discussion of the principle of Turing, which formalize the concept of soluble and insoluble problems, the definition of time and space evaluation algorithms.
книга, добавлен 18.09.2012Writing interactive math tests in the LaTeX system. Using the system for writing interactive tests on the theory of probabilities in distance learning. Creation of tasks of the type "True/False", "Short answer", "Essay" ("Clarifying the definition").
статья, добавлен 19.03.2024Solving Linear Systems with the Inverse. Transposes and Symmetric Matrices. General Linear Systems. The Fundamental Matrix Subspaces. Minimization of Quadratic Functions. Computations in Orthogonal Bases. Orthogonal Polynomials and Least Squares.
учебное пособие, добавлен 25.11.2013Characterization of symmetric linear functionals as the simplest polynomials. The proof of the theory that every symmetric continuous linear functional on the complex space L (0,1) can be represented as the Lebesgue integral, multiplied by a constant.
статья, добавлен 25.03.2016Consideration the results of simulation definition spectral analysis of signals, which consist of harmonic signals with noninteger periods. Studied the change of spectral components by changing width of Fourier transformation by discarding samples.
статья, добавлен 29.01.2016- 31. Auto-Associative Models, Nonlinear Principal Component Analysis, Manifolds and Projection Pursuit
Auto-associative models as a new tool for building nonlinear principal component analysis methods. The successive approximations of a dataset by manifolds of increasing dimensions. The theoretical comparison between PCA and auto-associative models.
статья, добавлен 08.02.2013 Putnam argues that, by reinterpretation, the Axiom of Constructibility can be saved from empirical refutation. This paper contends that this argument fails, which leaves Putnam’s sweeping appeal to the Lowenheim - Skolem Theorem inadequately motivated.
статья, добавлен 10.09.2012Further examples of population dynamics. Representation of real numbers in an arbitrary base. A geometrical model for continued fractions. The idea of computational complexity. Elementary applications of congruence. The fundamental theorem of arithmetic.
книга, добавлен 08.03.2014The mathematization of scientific knowledge. The role of mathematization process as precondition of transformation of science into direct productive force of the industrial society. Factor of scientific communication complementarity in knowledge society.
статья, добавлен 31.08.2018Studying of the enumerative geometry of orbits of multidimensional toric action on projective algebraic varieties. Develop a new cyclic diferential-graded operad, conjecturally governing the real version of the enumerative geometry of these toric orbits.
статья, добавлен 30.07.2016The definitions which characterize a problem of parameters of DL-based assumptions related to discrete logarithms and impact of granularity of them. Difficulties of the generic model that identify the parameters relevant to cryptographic assumptions.
научная работа, добавлен 15.09.2012Korobov polynomials as paradeterminants of triangular matrices. Some of the formulas of interpolation of functions of many variables and the discrete analogue of the summation formula of Euler - basic use of mathematical polynomials of this type.
статья, добавлен 25.03.2016The study of optimal control problems for linear parabolic equations with unbounded coefficients in the main part of elliptic operator. The peculiarities of this type of equations. Setting of the optimal control problem and its preliminary analysis.
статья, добавлен 23.06.2016Arithmetic operations and properties of decimals, proportion and percents. Fundamental concepts of algebra, functions and graphs. The fundamental operations with complex numbers. Limits of function values, one-sided limits, infinitesimal functions.
учебное пособие, добавлен 11.10.2014Studies objects of geometric nature by means of some algebraic invariants defined over the category of these objects. Algebraic K-theory spectrum of DG-category. Definding the different versions of cyclic homology are via the mixed complex functor.
курсовая работа, добавлен 27.08.2016Characteristic of a Krull–Schmidt Theorem for nonassociative algebras. Definition of the upper annihilating series. Study of some families of nilpotent evolution algebras. Classification of four- and five-dimensional nilpotent evolution algebras.
статья, добавлен 24.01.2017The order and lower order of an entire function. Using the Fourier series method to study the properties of subharmonic functions. The subharmonic function in the complex plane. The finite system of rays. The class of delta-subharmonic functions.
статья, добавлен 27.06.2016- 43. Equation
The concept, nature and purpose of mathematics. The process of identifying the "unknowns" in the process of solving the equation. Characteristic and distinctive features of types of equations, examples of possible solutions. Features Diophantine equation.
презентация, добавлен 07.11.2016 The uniqueness problem of meromorphic functions having the same pole sharing of a nite set with the aid of weighted sharing of sets we. Meromorphic functions in whole complex plane. Standard notations of the Nevanlinna theory of meromorphic functions.
статья, добавлен 27.06.2016Modeling the static deformation of a circular plate with discrete variable thickness. The use of a matrix green type and algebraic matrices to create an algorithm for compact computing solutions for deformation of circular plates of variable thickness.
статья, добавлен 24.11.2016Definition of artinian-by-(finite rank). Characteristic of features of artinian-by-(finite rank). Study of the structure of generalized soluble groups and nilpotent-by-finite modules. Analysis of the structure of artinian-by-(finite rank) modules.
статья, добавлен 30.10.2016