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
Role of Euler`s number in differential and integral calculus, in algebra. Consideration of a new limit for the number e and giving its rigorous proof using the apparatus of mathematical analysis. Combinatorial interpretation is given for Euler’s number.
??????, добавлен 28.08.2020Subject and method of statistical science. Elements of probability theory. Random variables and their distribution laws. Fundamental of statistical observation. Grouping, consolidated return and data presentation. Basics of averages statistics method.
??????? ???????, добавлен 24.12.2013- 3. 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.
??????, добавлен 29.06.2016 Teaching students of mathematical fields of training to inverse problems. Implementation of the scientific, educational potential of teaching university students inverse problems for differential equations. Computational methods of mathematical physics.
??????, добавлен 01.04.2021The theory of inverse problems for differential equations as fields of applied mathematics. In article attention that when training in the inverse problems for differential equations at students scientific and cognitive potential develops is paid.
??????, добавлен 29.03.2021Prime and composite numbers. The fundamental theorem of arithmetic states. Sample factorizations. Review of elementary number theory. Some essential algorithms. RSA public-key cryptosystem. Finding squares through products. Large prime variations.
??????, добавлен 15.09.2012Approximations in Scientic Computation, ?omputer Arithmetic, mathematical Software. Linear Systems, solving Linear Systems, Iterative Methods for Linear Systems. Linear Least Squares, eigenvalues and Singular Values, Nonlinear Equations, optimization.
??????? ???????, добавлен 25.11.2013Several aspects of systems theory. Arithmetic of cardinal numbers. Crises of naive set theory. Constructions of ordinal and cardinal number systems. Growth of the polish school of mathematics. Bellman’s principle of optimality and its generalizations.
?????, добавлен 25.11.2013Investigation 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.
??????, добавлен 14.09.2016Using methods of discrete mathematics in the field of virtual isolation and its application in the scientific theory of numbers, groups, combinatorics and graph theory. Specifics arithmetic methods data comparisons. Construction of a matrix atom.
?????, добавлен 08.03.2014Consideration 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.
??????, добавлен 15.09.2012Mathematical 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 19.09.2024Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.
??????, добавлен 24.06.2016Names 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.
??????? ???????, добавлен 11.10.2014Study 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.
??????, добавлен 10.04.2023- 16. Improving the mathematical model of the dynamics for underwater vehicles with asymmetrical hulls
Model of motion, which takes into account the asymmetry of hulls, infiltration processes and surface waves in the form of a system of nonlinear differential equations. Estimation of the error as a function of the magnitude of the initial velocities.
??????, добавлен 25.10.2016 The fundamentals of the theory of automata, formal languages, and regular, context-free grammar. Discussion of the principle of Turing, which formalize the concept of soluble and insoluble problems, the definition of time and space evaluation algorithms.
?????, добавлен 18.09.2012Separating 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.
??????, добавлен 09.09.2012Basic 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 25.11.2013Mathematics as a fundamental science. The place in its structure of differential equations is one of the most harmonious ways of knowing the universe. Study of the algorithm for constructing compartmental (SIR) models, based on differential equations.
??????, добавлен 10.08.2022The manual contains definitions, formulas, theorems of the differential calculus of functions of one variable. Derivative and its geometrical and physical meaning. Applying differential to approximate calculations. Extremum of function, the quotient rule.
??????? ???????, добавлен 11.10.2014The 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 10.05.2023Finding common solutions of linear differential equations of the fourth order, the coefficients of which satisfy the system of three differential equations of the first order. The problem of conformal mapping of polygons, whose sides are arcs of circles.
??????, добавлен 04.02.2017Studying 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.
??????, добавлен 30.07.2016Characteristics of laminar and turbulent fluid flows. Analysis of the relationship between the Reynolds number and turbulence. Solution of the Navier-Stokes hydrodynamic equations. Investigation of the structure and inhomogeneities of a cellular flame.
??????, добавлен 29.11.2016