Carl Friedrich Gauss (1777-1855)
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.
Подобные документы
Proving of the theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) with additional condition on the number of nonzero components.
статья, добавлен 25.03.2016Solving 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.
статья, добавлен 25.03.2016Absolute value of a complex number, and conjugate complex number. Integral powers and roots of complex numbers. Taylor’s and Laurent’s theorems. Evaluation of integral of meromorphic function. Fundamental elementary functions of complex variables.
методичка, добавлен 11.10.2014System of a quasidifferential equation with measures on the semiaxis. Linear differential operators generated by differential expressions. Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis.
статья, добавлен 25.03.2016The 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.
учебное пособие, добавлен 11.10.2014Solving 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 25.11.2013Properties 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 25.11.2013The 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 08.02.2013Forgotten motives: varieties of scientific experience. Motives and homological algebra, physics. Early history of motives. Determination of the category of (pure) motives. Preservation algebraic-geometric objects, projective varieties over a Wark field.
статья, добавлен 12.07.2021The 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 19.02.2016The 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.
статья, добавлен 08.02.2013Assessment of convergence result for the sequential procedure in the form of alternating maximization to the maximum likelihood estimation for a family of models - Generalized linear models. Variable Linear Regression procedure. Using techniques ALS.
курсовая работа, добавлен 27.08.2016The 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 26.08.2016The basics of cryptography and its levels of reliability. Secret key cryptosystem and symmetric ciphers, message authentication codes. Fundamentals of discrete mathematics, homomorphisms and isomorphisms. Modular arithmetic and function Euler's Totient.
учебное пособие, добавлен 19.03.2014Combinatorial 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 26.08.2016Spatial relationships and examples of three-dimensional figures. The calculation of the surface area of three-dimensional figures and volume of cylinders and prisms. The ratio of the volume of the cone and the pyramid to the volume of cylinder and prism.
презентация, добавлен 10.11.2015- 67. 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.
презентация, 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.
реферат, добавлен 01.04.2016The 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.
статья, добавлен 08.02.2013The 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.
книга, добавлен 17.04.2013Comparative 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 11.07.2018Dynamic Modeling with Difference Equations. Linear Models of Structured Populations. Nonlinear Models of Interactions. Modeling Molecular Evolution. Constructing Phylogenetic Trees. Infectious Disease Modeling. Curve Fitting and Biological Modeling.
учебное пособие, добавлен 25.11.2013Bayesian hierarchical models for data analysis in this context. At the first stage of the model, survival times can he modelled via the Cox partial likelihood, using a justification due to Kalbfleisch. A questionable parametric assumptions are avoided.
статья, добавлен 10.09.2012The textbook includes topics of discrete mathematics. Relations: binary relations, pictorial representatives of relations, inverse relation, functional relation. Mathematical logic: propositions and compound statements, basic laws of logical operations.
учебное пособие, добавлен 11.10.2014Correct 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