Elementary number theory, cryptography and codes

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.

Подобные документы

  • Role 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 28.08.2020

  • Combinatorial 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 26.08.2016

  • 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

  • The 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 27.06.2016

  • Study 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 25.03.2016

  • Affine plane curves. A brief introduction to the p-adic numbers. Regular functions on projective curves. Plane projective cubic curves with a rational inflection point. Reduction of an elliptic curve. Cohomology of finite, infinite Galois groups.

    учебное пособие, добавлен 03.07.2013

  • 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 methods developed by Hamilton 1989 and Chib 1996 to identied multiple-equation models. It details Bayesian estimation and inference for a class of models with different degrees of time variation and discuss analytical and computational difculties.

    статья, добавлен 28.06.2013

  • 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

  • Criterion of boundedness of L-index in direction for functions f(z; m). Analogue of Hayman’s theorem for entire functions of bounded l-index. The study of boundedness of L-index in direction for some infinite products. Possible ways of construct.

    статья, добавлен 19.02.2016

  • Using a generalized Dunkl translation, we obtain an analog of theorem 5.2 in Younis’ paper for the Dunkl transform for functions satisfying the (d, g)-Dunkl Lipschitz condition in the space L2(R,|x|2a+1dx). Consideration generalized Dunkl translation.

    статья, добавлен 25.03.2016

  • A generalization of the classical theorem of T. Kato on similarity for sequences of projections in Hilbert spaces to the case of unconditional Schauder decompositions. Refinement of the theorem of V.N. Vizitei on the stability of Schauder decompositions.

    статья, добавлен 30.10.2016

  • Basic 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

  • 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

  • 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

  • The 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 15.09.2012

  • Search of the Dirichlet series with zero abscissa of absolute convergence. Study of asymptotic equality features. The convergence at different points. The role of the Dirichlet series in number theory. The behavior of the three-dimensional function.

    статья, добавлен 19.02.2016

  • 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

  • Linear Principal Components. A linear model formulation. The Principal Curve and Surface models. Theory for principal curves and surfaces. Algorithmic details. Estimation of curves and surfaces. Gold assay pairs. Generalized linear principal components.

    дипломная работа, добавлен 08.02.2013

  • 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

  • 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

  • Comparative 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 11.07.2018

  • Fundamentals of Probability and Judgement. Random variables and probability distributions. Bayes’ Theorem and Elicitation. Aleatory, epistemic uncertainty. Roles within the elicitation process. The naive intuitive statistician metaphor. "The middle way".

    учебное пособие, добавлен 25.11.2013

  • The methods used in the subsequent proofs. The usefulness of the side-by-side multiplication. Proving geometric inequalities where is the area, an arbitrary triangle ABC and what follows: sides, semi-perimeter, medians, angle-bisectors, altitudes.

    статья, добавлен 09.09.2012

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