Methods of applied mathematics

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.

Подобные документы

  • The order and lower order of an entire function. Using the Fourier series method to study the properties of subharmonic functions. The subharmonic function in the complex plane. The finite system of rays. The class of delta-subharmonic functions.

    статья, добавлен 27.06.2016

  • Determination of diameter of a opening, corner of a opening and focal distance of an optical-type antenna. Calculation of a space directional diagram and determination of parameters of the parabolic antenna. Constructive calculation of the antenna.

    реферат, добавлен 09.11.2015

  • 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

  • An analytic univalent convex function. Solution the Gauss equation with negative exponents. Meromorphic starlike and meromorphic convex solutions. Series with negative powers. l-index boundedness. Example of the general solution of Gauss equation.

    статья, добавлен 27.06.2016

  • 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

  • Consideration of the process of evolution and prospects of mathematical methods and models in economic research. Characterization of advantages and identification of disadvantages of mathematical formalization in the conditions of a new economic paradigm.

    статья, добавлен 31.07.2022

  • 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

  • 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

  • Correct solution of the location problems as one of most important tools of the operations research. The aim of location problem involves the location of one or more new facilities in the plane, when the number of possible locations is usually infinite.

    статья, добавлен 14.02.2018

  • 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

  • Research of the level of informatization of the main spheres of life activity of citizens of foreign countries. Analyse the peculiarities and problems of the development of higher education in Ukraine in the context of information and digital inequality.

    статья, добавлен 21.06.2016

  • The problem of rationality of a generic cubic fourfold as one of the classic problems of birational geometry. Semiorthogonal decompositions, equivariant derived categories. Projective bundles, blow-ups and double coverings. The fano variety of lines.

    контрольная работа, добавлен 26.08.2016

  • 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

  • An 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

  • Analyzing multi-dimensional data with complex geometry and to identify low-dimensional "principal objects" that relate to the optimal projection while losing the least amount of information. The methods for dimensionality reduction of microarray data.

    статья, добавлен 08.02.2013

  • Evidence the well-posedness of Fourier problems for anisotropic parabolic equations with variable exponents of nonlinearity without any assumptions on the solution behavior and growth of the initial data as time variable tends to minus in nity.

    статья, добавлен 19.02.2016

  • An Introduction to Bayesian Inference in Process Monitoring, Control. Modern Numerical Methods in Bayesian Computation. A Bayesian Approach to Statistical Process Control. Bayes’ Rule of Information and Monitoring in Manufacturing Integrated Circuits.

    учебное пособие, добавлен 25.11.2013

  • The results of the participants of the scientific seminar "Problems of elementary divisor rings" concerning the Bezout rings of finite stable range. The conditions under which these rings are elementary divisor rings. These rings introduced Kaplansky.

    статья, добавлен 19.02.2016

  • Peculiarities of calculating the photoionization cross sections for ions of the isoelectronic sequence of cesium by the Dirac-Fock method. Analysis of the dependence of the photoionization cross sections on energy. Photoelectron distribution methods.

    статья, добавлен 22.08.2020

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