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
Using methods of discrete mathematics in the field of virtual isolation and its application in the scientific theory of numbers, groups, combinatorics and graph theory. Specifics arithmetic methods data comparisons. Construction of a matrix atom.
книга, добавлен 08.03.2014The Italian system of numeration of propositions. Account of Peano's Logical Symbolism. Russell's "Logic of Relations". On Finite and Infinite Cardinal Numbers. Connect of the proposition. Combinations and Permutations, the class of infinite numbers.
статья, добавлен 09.09.2012Measure 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 13.01.2013Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.
статья, добавлен 24.06.2016The article is devoted to the study of the place of plot mathematical problems in the course mathematics of the primary school of Ukraine; determination of results in teaching problem solving; clarification of the essence of the problem-solving process.
статья, добавлен 16.09.2022List 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 09.05.2014Korobov 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 25.03.2016Separating the foundations of mathematics from philosophy. Difference between the theory of formal systems theory and evidence. Classical first order predicate logic. Elementary and full analysis. Existing proof theory. Infinitely long expressions.
статья, добавлен 09.09.2012The 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 15.09.2012The optimal method of teaching trigonometric equations in the high school mathematics course based on the curriculum. The place and meaning of trigonometric equations and inequalities in the school mathematics course, features of their solution.
статья, добавлен 07.09.2023Several aspects of systems theory. Arithmetic of cardinal numbers. Crises of naive set theory. Constructions of ordinal and cardinal number systems. Growth of the polish school of mathematics. Bellman’s principle of optimality and its generalizations.
книга, добавлен 25.11.2013Complete discrete valuation fields. Extensions of discrete valuation fields. Cyclic extensions of prime degree. The Hasse–Herbrand function. The norm and Ramication groups. The milnor K-groups of a local field. The group of units of local number fields.
учебное пособие, добавлен 03.07.2013The theory of inverse problems for differential equations as fields of applied mathematics. In article attention that when training in the inverse problems for differential equations at students scientific and cognitive potential develops is paid.
статья, добавлен 29.03.2021Teaching students of mathematical fields of training to inverse problems. Implementation of the scientific, educational potential of teaching university students inverse problems for differential equations. Computational methods of mathematical physics.
статья, добавлен 01.04.2021Thin and sparse metric spaces as asymptotic counterparts of discrete and very close to discrete metric spaces respectively. Classify thin metric spaces up to coarse equivalence. The types of sparse spaces and construct the spaces of distinct types.
статья, добавлен 19.02.2016Arithmetic 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 11.10.2014Mathematics as a fundamental science. The place in its structure of differential equations is one of the most harmonious ways of knowing the universe. Study of the algorithm for constructing compartmental (SIR) models, based on differential equations.
статья, добавлен 10.08.2022Solving 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.
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статья, добавлен 25.03.2016Conditions for nite sequences of positive numbers to be certain parts of spectra of the Dirichlet-Dirichlet, Dirichlet-Neumann, Neumann-Dirichlet and Neumann-Neumann boundary value problems generated by the same Stieltjes string recurrence relations.
статья, добавлен 19.02.2016Modeling 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 24.11.2016- 22. 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 Monotonic Functions and Unordered Lists. The Pigeonhole Principle. Basic Concepts of Decision Trees. The Principle of Inclusion and Exclusion. Counting Structures with Symmetries. Concepts in Graph Theory. Equivalence Relations and Unlabeled Graphs.
книга, добавлен 17.04.2013Boolean 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 29.05.2022The logic of quantification. Non-standart set theories. Typically ambiguous variables. Standardized theory of types. Equate the null classes. Connections with Zermelo's theory. Functional Logic. A motive for unifying universes. Use general variables.
статья, добавлен 11.09.2012