Примери за използване на Theory of linear на Английски и техните преводи на Български
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The Theory Of Linear Integral Equation.
Some Problems in the Boundary Value Theory of Linear Differential Equation.
Theory of linear differential equations.
Applications of the analytical theory of linear differential equations in filtration theory; .
The main areasof research in the department have been the geometry of Banach spaces and spectral theory of linear and non-linear operators.
The theory of linear differential equations.
His doctoral dissertation Some Problems in the Boundary Value Theory of Linear Differential Equations was supervised by Waldemar Trjitzinsky.
He then develops the theory of linear independence in a way which is astonishingly similar to the presentation one finds in modern linear algebra texts.
The practical importance of convenient algorithms for the solution of systems of linear inequalities and their connection with the theory of linear programming is well known.
Fuchs enriched the theory of linear differential equations with fundamental results.
For example they published: On the summability of Fourier series(two papers), On a theorem of Hahn-Steinhaus,On a theorem of Paley and Wiener, On the theory of linear integral equations.
Let us mention, in particular, The theory of linear dependence which he published in the Annals of Mathematics in 1900.
Lions was one of several students who Schwartz directed to take this new approach andhis doctoral thesis developed what has become the standard variational theory of linear elliptic and evolution equations.
He worked on finite fields and extended the theory of linear associative algebras initiated by Wedderburn and Cartan.
The characteristic property of linear equations is that their solutions form an affine subspace of an appropriate function space, which results in much more developed theory of linear differential equations.
In particular he worked on the theory of linear differential equations, the theory of probability(see) and non-euclidean geometry.
The first modern and more precise definition of a vector space was introducedby Peano in 1888; by 1900, a theory of linear transformations of finite-dimensional vector spaces had emerged.
This was the study of the theory of linear inequalities, an area of great practical significance because of its connection with the theory of linear programming.
He used the, now familiar, tools of idempotent andnilpotent elements(terms invented by Peirce) to establish the foundations of a general theory of linear associative algebra and he presented multiplication tables for over 150 new algebras in the book.
An application of the theory of linear differential equations to some problems of ground-water motion published in 1940 is quite typical of many of her papers.
He studied a wide variety of applications of mathematics such as dynamical systems in the theory of homogeneous cosmological models, the theory of solitons,the spectral theory of linear operators, quantum field theory and string theory. .
In a lecture in 1945[Petrovsky] explicitly asked for a general theory of linear differential operators including those which do not appear in the mathematical models of physics….
The algebraic structure represented by the Dirac matrices had been created some 50 years earlier by the Englishmathematician W. K. Clifford, which in turn had been based on the mid-19th century work of the German mathematician Hermann Grassmann in his"Lineare Ausdehnungslehre"(Theory of Linear Extensions).
The main theorem in Taylor's theory of linear perspective is that the projection of a straight line not parallel to the plane of the picture passes through its intersection and its vanishing point.
The course contains mathematical digression into complex calculus, the basics of second quantization, field quantization, path integral description of quantum statistical mechanics,finite temperature perturbation theory, theory of linear response, basics of renormalization group analysis and effective field theory.
Exceptionally broad, the range of his work included beautiful andimportant contributions to the theory of linear inequalities and programming, approximation theory, convexity, combinatorics, algebraic geometry, number theory, algebra, function theory, and numerical analysis….
I think every reader of his cited paper, like myself, will have left a considerable amount of pleasant excitement, on seeing the wonderful harmony of the whole structure of the calculus to which the theory leads and on understanding how essential an advance its application may mean to many parts of higher analysis, such as spectral theory, potential theory, andindeed the whole theory of linear partial differential equations….
He was able to generalise results in the theory of ordinary linear analytic differential equations to obtain similar results for partial differential equations.
It was published in English in Mathematische Zeitschrift in 1928 as Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions.
The author sets as his goal the development of a function theory for solutions of linear, elliptic, second order partial differential equations in two independent variables(or systems of two first-order equations).