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 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.
??????, добавлен 25.02.2021Basic 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.
??????? ???????, добавлен 25.11.2013One of the effective methods for solving such problems in case of piecewise-homogeneous environments is a one of hybrid integral transforms. It solves the problem of torsion of semi-bounded piecewise homogeneous elastic cylinder with various features.
??????, добавлен 25.08.2016Practical 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.
??????, добавлен 11.09.2022- 55. ???????????? ?????? ?????? ??? ????’?????? ??????? ?????? ????? ?? ???????? ????????? ?????? ??????
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????????? ??????, добавлен 30.05.2014 Solving the Cauchy problem for the heat equation with random factors as a classical problem in mathematical physics. The main stochastic processes in the Orlicz space. Estimates of the distribution of the supremum of a solution of the heat equation.
??????, добавлен 25.03.2016Mathematical methods of optimizing statistical research. Solution the problem of computation the entropy value of binary messages of increased length generated by Bernoulli information sources. Development of methods to reduce the number of calculations.
??????, добавлен 19.09.2024The importance of research approach to a choice of model and to the search of alternative decisions. Some various methodically important approaches to the decision of elementary problems of search of the minimal speed allowing in "vacuum" conditions.
??????, добавлен 21.06.2018The 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.
??????, добавлен 08.02.2013The 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.
??????, добавлен 27.06.2016- 61. Equation
The concept, nature and purpose of mathematics. The process of identifying the "unknowns" in the process of solving the equation. Characteristic and distinctive features of types of equations, examples of possible solutions. Features Diophantine equation.
???????????, добавлен 07.11.2016 Biographies of scholars such as Leonardo da Vinci, Kelly Miller, Rene Descartes, Leonhard Euler, Nicolaus Copernicus, Alan Turing and other scientists who have made an invaluable contribution to science. Their ways of life and achievements in science.
???????, добавлен 01.04.2016Modeling 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.
??????, добавлен 24.11.2016Description of a variational graph-theoretic. Brief review of linear graph principles. Generate the equations of motion with elastic deformations, the flexible bodies are discretized using two types of finite elements. Discretize unidirectional bodies.
??????, добавлен 17.04.2013The construction of lower-dimensional manifolds from high-dimensional data is an important task in data mining, machine learning and statistics. The authors consider principal manifolds as a regularized, non-linear empirical quantization error functional.
??????, добавлен 08.02.2013The 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.
??????, добавлен 10.05.2023The quart formula - a tool for describing the composition of functions, the modification of which directly changes properties, which are easily detected by numerical modeling. A complete infinite power-factorial functional series of the exponent.
??????, добавлен 12.05.2018Overview 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.
??????, добавлен 15.09.2012Characteristics of the main principles of construction of cubic maps and base points. Planarizations, their common properties. The proof of the theorem determine a cubic, quadratic and normal forms of planarizations. Complex and real classification.
??????? ???????, добавлен 30.07.2016- 70. ????????? ??????
???????? ????????? ??????? ??????? ?????????????? ? ???????????????? ?????????. ????????????? ????? ???????????????? Visual Basic ??? ?????????? ??????????. ??????????? ?????? ????????? ??????? ???? ? ???????????. ????????????? ? ???????????? ???????.
??????? ???????, добавлен 22.05.2014 The Graphical Modeling and Bayesian Networks. Some Properties of Incomplete Repair and Maintenance Models. The Theoretical Advances in Modeling, Inference and Computation. Network Reliability Evaluation with Propositional Directed Acyclic Graphs.
?????, добавлен 17.04.2013The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Ampere’s law with displacement current and Faraday’s law. Transformation properties of the connection: the Lorentz transformation.
??????, добавлен 11.09.2012The 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.
??????? ???????, добавлен 11.10.2014Monotonic 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.
?????, добавлен 17.04.2013- 75. ?????????? ?????????? ????????? ????????? ? ?? ?????????? ? ??????? ???????????? ??????????? ???????
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???????? ??????, добавлен 18.05.2020