Scientific computing
Approximations in Scientic Computation, сomputer Arithmetic, mathematical Software. Linear Systems, solving Linear Systems, Iterative Methods for Linear Systems. Linear Least Squares, eigenvalues and Singular Values, Nonlinear Equations, optimization.
Подобные документы
Methods of rapid information. Reduce time of realization of cryptographic RSA transformations. Application of the principle of ring shift in the module number system. Increasing the speed of realization of cryptographic transformations with the open key.
статья, добавлен 14.07.2016Boolean algebra as a mathematical language of thought. Demonstration of the role of Boolean logic in computer science through the development of design schemes, its use in cryptography as a significant example of the role of logic in modern computing.
статья, добавлен 29.05.2022Comparative analysis for the algorithm for solving two-parameter game models. Comparison of the values of the game price and the probabilities of strategies. The accuracy and reliability of the results are analyzed with the help of a numeric example.
статья, добавлен 11.07.2018Korobov 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 25.03.2016Evidence the well-posedness of Fourier problems for anisotropic parabolic equations with variable exponents of nonlinearity without any assumptions on the solution behavior and growth of the initial data as time variable tends to minus in nity.
статья, добавлен 19.02.2016One of the effective methods for solving such problems in case of piecewise-homogeneous environments is a one of hybrid integral transforms. It solves the problem of torsion of semi-bounded piecewise homogeneous elastic cylinder with various features.
статья, добавлен 25.08.2016The 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 31.08.2018The basics of cryptography and its levels of reliability. Secret key cryptosystem and symmetric ciphers, message authentication codes. Fundamentals of discrete mathematics, homomorphisms and isomorphisms. Modular arithmetic and function Euler's Totient.
учебное пособие, добавлен 19.03.2014The 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 18.09.2012The spectral properties of a fourth-order functional-differential operator with a summable potential are studied. The boundary conditions are separated. The solution of the functional-differential equation. The solution of the Volterra integral equation.
статья, добавлен 14.08.2020Forgotten motives: varieties of scientific experience. Motives and homological algebra, physics. Early history of motives. Determination of the category of (pure) motives. Preservation algebraic-geometric objects, projective varieties over a Wark field.
статья, добавлен 12.07.2021The results of the participants of the scientific seminar "Problems of elementary divisor rings" concerning the Bezout rings of finite stable range. The conditions under which these rings are elementary divisor rings. These rings introduced Kaplansky.
статья, добавлен 19.02.2016Basic Concepts, examples of Floating Point Calculations. Gaussian Elimination with Partial Pivoting. Bisection, Newton’s Method, and the Secant Rule. Basic Quadrature Rules. Some Elements of the Theory. Special Devices for Integration and case study.
учебное пособие, добавлен 25.11.2013The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Ampere’s law with displacement current and Faraday’s law. Transformation properties of the connection: the Lorentz transformation.
статья, добавлен 11.09.2012List of the adopted abbreviations and designations. The complexity of configurations. Architecture – models and their appendices. Extreme constructive possibilities. The complexity of finite configurations. Formal discrete models of self reproduction.
учебное пособие, добавлен 09.05.2014Study of the content of Galileo's revolution in science, which introduced into science the analytical method typical of the general modern thinking. Familiarization with the method of determining the laws of motion of objects using time functions.
статья, добавлен 10.04.2023Basic formulas of combinatorial analysis. Theorem of addition of probabilities of incompatible events. Theorem of multiplication of probabilities. Bayes’s formulas. Mathematical operations over random variables. Properties of a distribution function.
курс лекций, добавлен 27.10.2013Study recurrent factions fourth order. Contacting algebra fourth order. Building a sustainable rate calculation algorithms recurrent factions. Definition of communication between periodic recurrent about fractions and real positive roots of equations.
статья, добавлен 25.03.2016Overview of constraint solving. Term algebra. Attacker model. Constraint generation. Subterms and product closures. Well-defined protocols and constraint sequences. Ground derivability. Conservative solutions. Decision procedure for symbolic constraints.
статья, добавлен 15.09.2012Modeling 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 24.11.2016Role of Euler`s number in differential and integral calculus, in algebra. Consideration of a new limit for the number e and giving its rigorous proof using the apparatus of mathematical analysis. Combinatorial interpretation is given for Euler’s number.
статья, добавлен 28.08.2020Measure theory, discrete time martingales and discrete time option pricing. Continuous time martingales. Stochastic integrals, calculus and differential equations. Option pricing in continuous time. Random measures, stochastic calculus (characteristics).
книга, добавлен 13.01.2013The textbook includes topics of discrete mathematics. Relations: binary relations, pictorial representatives of relations, inverse relation, functional relation. Mathematical logic: propositions and compound statements, basic laws of logical operations.
учебное пособие, добавлен 11.10.2014Ways of representation of functions of two variables. Partial increment and derivatives of the first order. Application of the total differential to approximate calculations. Description of the largest and smallest values of a function of two variables.
учебное пособие, добавлен 11.10.2014Reducing the cardinality of the set shared by f and g from 7 to 6 under weaker condition on ramification index. Noise-power distribution multitude values 4 and weakening ramification index enter Saving with Banerjee. Notion of weighted sharing of sets.
статья, добавлен 19.02.2016