Примери за използване на Real variable на Английски и техните преводи на Български
{-}
-
Colloquial
-
Official
-
Medicine
-
Ecclesiastic
-
Ecclesiastic
-
Computer
Functions of real variables.
By the Mean-Value Theorem(for real functions of a real variable).
Denjoy worked on functions of a real variable in the same areas as Borel, Baire and Lebesgue.
Theory of Functions of a Real Variable.
His work on functions of a real variable include results on functional series, differentiability of functions and Baire's classification.
In Functions of real variables.
Dini's most important work in mathematics was on the theory of functions of a real variable.
As an application some polynomials of real variable with real coefficients are considered.
Continuity and limits of functions of real variable.
Burkill's work is all in the theory of functions of a real variable with its main emphasis on theories of differentiation and integration.
Special areas of function theory of real variables;
Many of the others were written on functions of a real variable, particularly during the years 1933-36, where he studied Dini derivatives and approximate derivatives of continuous functions.
Foundations of the theory of functions of a real variable.
In 1797 he published the first theory of functions of a real variable with Théorie des fonctions analytiques although he failed to give enough attention to matters of convergence.
From the first, methods of the theory of functions of a real variable are employed.
The general theory was developed for the case of a real variable, and then, in the light of it, was developed the most beautiful theory of almost periodic functions of a complex variable….
He published Foundations of the theory of functions of a real variable in 1878;
Perhaps the most significant event for Menshov, however, was that Luzin returned from Göttingen to Moscow in the autumn of 1914 andbegan to lecture on functions of a real variable.
For his outstanding contributions to the theory of functions of a real variable, Denjoy received many honours.
This work, along with that of two other French mathematicians, René Baire and Henri Lebesgue,marked the beginning of the modern theory of functions of a real variable.
Riemann had sought to extend this extremely useful property to sets E of functions of real variables, but it soon appeared that boundedness of E was not sufficient.
Fourier's work provided the impetus for later work on trigonometric series andthe theory of functions of a real variable.
If a(possibly non-flat) surface S is parameterized by a system of curvilinear coordinates x(s, t),with s and t real variables, then a normal is given by the cross product of the partial derivatives.
Du Bois-Reymond's work is almost exclusively on calculus,in particular partial differential equations and functions of a real variable.
It examined some delicate problems in the theory of differentiation andintegration of real-valued functions of real variables and it was in the same spirit as work being carried out by Denjoy and William Young.
V A Uspenskii, a pupil of Kolmogorov, organised a seminar during Novikov's first year as a student in which problems in set theory,mathematical logic, and functions of a real variable were studied.
The Classical theory of employment, that we analysed in detail in Chapter 11,was based on the view that the real variables in the economy- output, productivity, real wages, and employment- were determined by the equilibrium outcome in the labour market.
After taking his examinations in 1921, Aleksandrov was appointed as a lecturer at Moscow university andlectured on a variety of topics including functions of a real variable, topology and Galois theory.
Known as the father of modern analysis, Weierstrass devised tests for the convergence of series and contributed to the theory of periodic functions,functions of real variables, elliptic functions, Abelian functions, converging infinite products, and the calculus of variations.
In his youthful work, he was concerned not only with mathematical logic and the axiomatics of set theory, but, simultaneously, with the substance of set theory itself,obtaining interesting results in measure theory and the theory of real variables.