Vectors spaces

The definition of real and complex vector spaces. The calculation of the reference type. Rules of addition and multiplication of scalars. The concept of subset. The direct sum of two subspaces. The calculation of the projection of the vector on the area.

Подобные документы

  • The 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.

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  • Thin and sparse metric spaces as asymptotic counterparts of discrete and very close to discrete metric spaces respectively. Classify thin metric spaces up to coarse equivalence. The types of sparse spaces and construct the spaces of distinct types.

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  • Normed 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 03.07.2013

  • Study recurrent factions fourth order. Contacting algebra fourth order. Building a sustainable rate calculation algorithms recurrent factions. Definition of communication between periodic recurrent about fractions and real positive roots of equations.

    статья, добавлен 25.03.2016

  • 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.

    учебное пособие, добавлен 03.07.2013

  • Tiling of the limit space under the action of a (self-similar) subgroup. Self-similar groups and their limit spaces. Subgroup tilings of limit spaces. Tilings of limit spaces of abelian and nilpotent groups. Functional analysis to nilpotent Lie groups.

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  • 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 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 30.07.2016

  • Rules for binary addition, multiplication, subtraction and division. Time complexity of extended Euclidean algorithm. Existence of multiplicative inverse. Cancellation law of congruence. Introduction to finite field theory. Corollary of Euler’s theorem.

    статья, добавлен 08.03.2014

  • 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.

    статья, добавлен 29.06.2016

  • A generalization of the classical theorem of T. Kato on similarity for sequences of projections in Hilbert spaces to the case of unconditional Schauder decompositions. Refinement of the theorem of V.N. Vizitei on the stability of Schauder decompositions.

    статья, добавлен 30.10.2016

  • Spatial 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

  • Basic 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 27.10.2013

  • Determining the extent of interpolated approximation spaces generated by regular elliptic operators on compact manifolds. Features and through the application of Jackson-Bernstein inequalities for spectral approximation regular elliptic operators.

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  • Multidimensional data distributions with complex topologies and variable local dimensions. A new type of low-dimensional "principal object": a principal cubic complex. The method of topological grammars with the minimization of an elastic energy.

    статья, добавлен 08.02.2013

  • 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

  • The calculation of fuzzy controllers, subject to the definition of control actions on the controller output for given membership functions. Algorithm Mumdanee for an indistinct conclusion. The linguistic rule of management of an indistinct regulator.

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  • The 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.

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  • 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.

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  • Combinatorial 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.

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  • Examination of unlimited closed convex subsets of Banach space X, having the same recessive cone, and metric spaces, which they form with the Hausdorff metric. Receiving an analog of the theorem of approximation of convex compacts by normal polyhedrons.

    статья, добавлен 12.05.2018

  • Absolute 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.

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  • Characteristics 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.

    учебное пособие, добавлен 30.07.2016

  • Basic 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.

    учебное пособие, добавлен 25.11.2013

  • 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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