Discrete Mathematics
The 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.
Подобные документы
Names of Greek letters and their pronunciation in formulas. Some facts on the development of the number system. Abbreviation and mathematical dictionary for the telecommunications specialists. Expressions and constructions used while retelling texts.
учебное пособие, добавлен 11.10.2014Normed linear spaces and Banach spaces. Basic properties of inner-products. Best approximation and orthogonal projections. Compact operators on a Banach space. Boundary value problems. Dierential calculus in Banach spaces and the calculus of variations.
учебное пособие, добавлен 03.07.2013The Cartesian product of copies. The set of all nonnegative real numbers. The algebra of polar operators (poles). Definition of a binary operation. Polarized elements, extension of the algebra of poles to the whole plane. Classes of equivalence.
статья, добавлен 27.06.2016Basic 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 27.10.2013The mathematical principles of the operation of cryptocurrencies. Mathematical formulas for calculating the public key from the private key. Properties of elliptic curves and the principle of their application during the creation of cryptocurrency.
статья, добавлен 10.05.2023The paper attempts to state and prove a completeness theorem for the system S5 of supplemented by first-order quantifiers and the sign of equality. The basic modal language. A general strategy for proving completeness theorems for quantified modal logics.
статья, добавлен 10.09.2012Rules for binary addition, multiplication, subtraction and division. Time complexity of extended Euclidean algorithm. Existence of multiplicative inverse. Cancellation law of congruence. Introduction to finite field theory. Corollary of Euler’s theorem.
статья, добавлен 08.03.2014Consideration of the process of evolution and prospects of mathematical methods and models in economic research. Characterization of advantages and identification of disadvantages of mathematical formalization in the conditions of a new economic paradigm.
статья, добавлен 31.07.2022An application of mathematical models in transport infrastructure and the field of road construction. The problems of traffic jams, road accident, overload, underload of transport nodal points and their solving with the help of mathematical modeling.
статья, добавлен 20.04.2019Biographies of scholars such as Leonardo da Vinci, Kelly Miller, Rene Descartes, Leonhard Euler, Nicolaus Copernicus, Alan Turing and other scientists who have made an invaluable contribution to science. Their ways of life and achievements in science.
реферат, добавлен 01.04.2016Sums, floors and recurrences. Finite and infinite calculus. Hypergeometric functions and transformations. Special, exponential generating functions. Euler’s summation formula. Domino theory and change. Partial hypergeometric sums. Stirling numbers.
учебное пособие, добавлен 25.11.2013Consideration of the Shannon's mathematical theory of communication as the technology processing of information. Problems associated with the transmission of messages: eliminate redundancy, perform coding and messaging communication channels with noise.
статья, добавлен 15.09.2012Study 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 10.04.2023Combinatorial description. Teichmuller curves. Recurrence relation. Asymptotics of numbers of branched coverings of a torus, volumes of moduli spaces of holomorphic differentials. The character of the infinite wedge representation. Cylinder decomposition.
контрольная работа, добавлен 26.08.2016The 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 14.08.2020Approximations 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.
учебное пособие, добавлен 25.11.2013Formulation of the lemma before solving the problem. The search for the principle of solving the paradox. Mathematical problem solving. Philosophical proof of the theorem. Justification of conclusions that can be applied in solving paradoxical problems.
контрольная работа, добавлен 19.03.2024Queuing effect can be in the different components of ground operations. Causes of surface – movement delays are long taxi – in and taxi – out operations during departure and arrival of aircraft. Surface movement delays in an airport are analyzed.
статья, добавлен 06.04.2018Solving the Cauchy problem for the heat equation with random factors as a classical problem in mathematical physics. The main stochastic processes in the Orlicz space. Estimates of the distribution of the supremum of a solution of the heat equation.
статья, добавлен 25.03.2016Basic 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 25.11.2013- 46. Застосування теорії графів при розв’язанні завдань різних видів та вивчення елементів теорії графів
Розглянуто формальне визначення, спосіб подання графів, обґрунтування вибору програмних засобів. Наведені основні алгоритми на графах та можливості їх практичного застосування. Програмна реалізація алгоритмів та можливості мови програмування Visual Basic.
дипломная работа, добавлен 30.05.2014 Subject and method of statistical science. Elements of probability theory. Random variables and their distribution laws. Fundamental of statistical observation. Grouping, consolidated return and data presentation. Basics of averages statistics method.
учебное пособие, добавлен 24.12.2013Correct solution of the location problems as one of most important tools of the operations research. The aim of location problem involves the location of one or more new facilities in the plane, when the number of possible locations is usually infinite.
статья, добавлен 14.02.2018Methods 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 14.07.2016- 50. Improving the mathematical model of the dynamics for underwater vehicles with asymmetrical hulls
Model of motion, which takes into account the asymmetry of hulls, infiltration processes and surface waves in the form of a system of nonlinear differential equations. Estimation of the error as a function of the magnitude of the initial velocities.
статья, добавлен 25.10.2016