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
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 31.07.2022Basic formulas of combinatorial analysis. Theorem of addition of probabilities of incompatible events. Theorem of multiplication of probabilities. Bayes’s formulas. Mathematical operations over random variables. Properties of a distribution function.
курс лекций, добавлен 27.10.2013Normed 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 03.07.2013An 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 20.04.2019Fundamentals of Probability and Judgement. Random variables and probability distributions. Bayes’ Theorem and Elicitation. Aleatory, epistemic uncertainty. Roles within the elicitation process. The naive intuitive statistician metaphor. "The middle way".
учебное пособие, добавлен 25.11.2013The 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 14.08.2020The emergence of noncommutative geometry, its relationship with the corresponding selected algebra function. The establishment of the anti-equivalence between the category of spaces and the corresponding category of algebras of functions on such spaces.
дипломная работа, добавлен 30.07.2016The 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 25.02.2021The self regulation of the parameters of the algorithm is a major step towards the establishment of the method as a general tool of nonlinear data analysis. Algorithms for the general task of extracting nonlinear principal manifolds from high dimensional.
статья, добавлен 08.02.2013Analyzing 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 08.02.2013The history of the discovery of Archimedes formula to calculate areas and volumes of spheres, cylinders and other plane and solid geometric figures. The Archimedes screw - a machine to transport water from low-lying sources in the irrigation ditches.
реферат, добавлен 20.12.2014The article is devoted to the study of the place of plot mathematical problems in the course mathematics of the primary school of Ukraine; determination of results in teaching problem solving; clarification of the essence of the problem-solving process.
статья, добавлен 16.09.2022List 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 09.05.2014Ways of representation of functions of two variables. Partial increment and derivatives of the first order. Application of the total differential to approximate calculations. Description of the largest and smallest values of a function of two variables.
учебное пособие, добавлен 11.10.2014The logic of quantification. Non-standart set theories. Typically ambiguous variables. Standardized theory of types. Equate the null classes. Connections with Zermelo's theory. Functional Logic. A motive for unifying universes. Use general variables.
статья, добавлен 11.09.2012Further 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 08.03.2014- 42. Algorithms to determine solvability of linear integro-differential equations with analytic functions
Further, we found sufficient conditions on linear Volterra integro-differential equations of the third kind to be correct in analytical functions which generalize the well-known fact of correctness of a Volterra integral equation of the second kind.
статья, добавлен 12.08.2020 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 14.07.2016Korobov polynomials as paradeterminants of triangular matrices. Some of the formulas of interpolation of functions of many variables and the discrete analogue of the summation formula of Euler - basic use of mathematical polynomials of this type.
статья, добавлен 25.03.2016Measure 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 13.01.2013Search 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 19.02.2016Peculiarities 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 22.08.2020The mathematization of scientific knowledge. The role of mathematization process as precondition of transformation of science into direct productive force of the industrial society. Factor of scientific communication complementarity in knowledge society.
статья, добавлен 31.08.2018Formulation of the lemma before solving the problem. The search for the principle of solving the paradox. Mathematical problem solving. Philosophical proof of the theorem. Justification of conclusions that can be applied in solving paradoxical problems.
контрольная работа, добавлен 19.03.2024Boolean 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