Foundations of Combinatorics with Applications

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.

Подобные документы

  • Overview 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 15.09.2012

  • Boolean 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 29.05.2022

  • Solving 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.

    учебное пособие, добавлен 25.11.2013

  • Описание численных методов решения алгебраических и дифференциальных уравнений. Использование языка программирования Visual Basic для реализации алгоритмов. Определение корней уравнения методом хорд и касательных. Аппроксимация и интерполяция функций.

    учебное пособие, добавлен 22.05.2014

  • Rules 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 08.03.2014

  • Study 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 10.04.2023

  • Reducing 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

  • 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

  • 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

  • Понятия алгоритма и его свойства, способы и виды описания. Линейный, условный, цикл. Программная среда Basic-256: история, используемые программные компоненты. Задача на нахождение минимального элемента массива и количество элементов, равных минимальному.

    курсовая работа, добавлен 18.05.2020

  • Regression smoothing, basic idea of smoothing. Smoothing techniques, the speed at which the smooth curve converges. Choosing the smoothing parameter. Data sets with outliers. Looking for qualitative smoothing and incorporating parametric components.

    учебное пособие, добавлен 25.11.2013

  • 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

  • The article describes the main additional constructions used in planimetry. And also examples of tasks for a basic and advanced course of the geometry of 7-9 classes are considered for solving where the method of additional construction is used.

    статья, добавлен 25.02.2021

  • Normed 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 03.07.2013

  • The 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 09.09.2012

  • Studies objects of geometric nature by means of some algebraic invariants defined over the category of these objects. Algebraic K-theory spectrum of DG-category. Definding the different versions of cyclic homology are via the mixed complex functor.

    курсовая работа, добавлен 27.08.2016

  • The 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 10.09.2012

  • 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

  • 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 11.10.2014

  • Characterization of symmetric linear functionals as the simplest polynomials. The proof of the theory that every symmetric continuous linear functional on the complex space L (0,1) can be represented as the Lebesgue integral, multiplied by a constant.

    статья, добавлен 25.03.2016

  • Conditions 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 19.02.2016

  • 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

  • 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

  • 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

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