Modern algebra with applications
The discussion about boolean algebras and their application to switching circuits. The rotation groups of the regular solids are investigated. New material on order of an element and cyclic groups, more details about the lattice of divisors of an integer.
Подобные документы
The 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 14.08.2020Investigation analytically specificity of numerical integration of ordinary second-order differential equations for systems with Coulomb and viscous friction. Developing and extending of modification of Runge-Kutta formulas for mentioned systems.
статья, добавлен 14.09.2016The Buquoy generalization of Newton's second law of motion for systems of bodies with variable masses driven by reactive forces produced by ejected burnt fuel. External forces depending on accelerations and higher order derivatives of velocities.
статья, добавлен 26.04.2019Studying of the enumerative geometry of orbits of multidimensional toric action on projective algebraic varieties. Develop a new cyclic diferential-graded operad, conjecturally governing the real version of the enumerative geometry of these toric orbits.
статья, добавлен 30.07.2016The 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 28.06.2013Modeling 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 24.11.2016Linear 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 08.02.2013Monotonic 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 17.04.2013List 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 09.05.2014Further 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 08.03.2014The algorithm of the basic components of a linear analysis. Work on nonlinear PCA, or NLPCA, autoassociative's neural networks, principal curves and manifolds, kernel the combination's of these approaches. The problem areas that require research.
статья, добавлен 08.02.2013Normed linear spaces. Contraction mapping theorem. Applications to differential and integral equations. Linear transformations. Product spaces and Fubini's theorem. Projection and self-adjoint operators. Gram-Schmidt orthonormalization. Fourier analysis.
курс лекций, добавлен 03.07.2013The natural connection between interassociates and variants of a semigroup. Variants of regular semigroups. Connection interassociates with commutative dimonoids. Study interassociates of the free semigroup with two generators using computer modeling.
статья, добавлен 27.06.2016Separating 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 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 10.09.2012An 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 20.04.2019- 43. Matrixes least squares method: examples of its application in macro-economics and TV-media business
Fundamentals of the method of least squares for the case of vector and matrix of observations. Advantages of MNCs to predict performance in the telemedia business. MNCs use algorithm for the matrix of observations with the ability to scale the data.
статья, добавлен 29.06.2016 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 10.04.2023Johann 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