Number theory in science and communication

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.

Подобные документы

  • Separating 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 09.09.2012

  • Applications 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 24.06.2016

  • The theory of the scalar field, directed derivative. The calculation of the line integral. The divergence of vector fields, their properties. Complex numbers and operations with them. The concept of differentiability and analytic function of the complex.

    учебное пособие, добавлен 11.10.2014

  • Further 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 08.03.2014

  • Prime and composite numbers. The fundamental theorem of arithmetic states. Sample factorizations. Review of elementary number theory. Some essential algorithms. RSA public-key cryptosystem. Finding squares through products. Large prime variations.

    статья, добавлен 15.09.2012

  • 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 17.04.2013

  • Consideration 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 15.09.2012

  • 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 24.12.2013

  • Sums, 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 25.11.2013

  • The 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 19.03.2014

  • The 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

  • 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 18.09.2012

  • Complete 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 03.07.2013

  • Measure 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 13.01.2013

  • Writing 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 19.03.2024

  • List 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 09.05.2014

  • 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.

    учебное пособие, добавлен 11.10.2014

  • 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 14.07.2016

  • The 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 29.03.2021

  • Arithmetic 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 11.10.2014

  • Generalization old result of Bowman system. Study of homomorphisms between topological Clifford semigroups. Ditopological unosemigroup in the mathematics. The main class of compact topological Clifford semigroups. The theory of partial symmetries.

    статья, добавлен 25.03.2016

  • The unsupervised methods required to reduce the dimension of the data set and to extract meaningful biological information. This work shows that Independent Component Analysis is a promising approach for the analysis of genome-wide transcriptomic data.

    статья, добавлен 08.02.2013

  • Johann Carl Friedrich Gauss - a German mathematician. His outstanding scientific achievements. The fundamentals of modern balancing and mathematical statistics (the least squares method). Developing number theory, analysis, differential geometry.

    презентация, добавлен 22.01.2016

  • Practical methods for solving nonlinear equations. Metrological support of iterative methods for solving nonlinear equations with inaccurate initial data. Modeling the behavior of iterative methods for different values of initial data and their errors.

    статья, добавлен 11.09.2022

  • Properties of Probability Distributions. Conditional Distributions and Expectation. Characteristic Functions, Moments and Cumulants. Parametric Families of Distributions. Distribution Theory for Functions of Random Variables, Approximation of Integrals.

    учебное пособие, добавлен 25.11.2013

Работы в архивах красиво оформлены согласно требованиям ВУЗов и содержат рисунки, диаграммы, формулы и т.д.
PPT, PPTX и PDF-файлы представлены только в архивах.
Рекомендуем скачать работу и оценить ее, кликнув по соответствующей звездочке.