Sentence examples for classical theorems of from inspiring English sources

This chapter describes the classical theorems of plasticity.

Classical theorems of Menshov and Zygmund are obtained as corollaries.

We reveal their essential dependence on the value of p, which resembles the difference in the classical theorems of Bourgain and Bachelis Ebenstein on Λ(p -sets.

These liftings provide direct proofs for the classical theorems of Sarason and of Sz.-Nagy and Foias, as well as a bidimensional version of Sarason′s theorem, and a theorem of Sz.-Nagy-Foias type for two pairs of dilations.

Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi.

There exists a simple syntactical translation which translates all classical theorems of arithmetic into theorems which are intuitionistically provable.

The aim of this article is to add a new element to the above sequence of generalizations of classical theorems on differential inequalities.

Proof The existence and uniqueness of the solution to (30) follows from classical theorems on Carathéodory solutions of ordinary differential equations.

The classical theorem of Edouard Helly (1913) is a masterpiece of geometry.

We generalize to several variables the classical theorem of Nevanlinna that characterizes the Cauchy transforms of positive measures on the real line.

A classical theorem of Powell (with roots in the work of Mumford and Birman) states that the pure mapping class group of a connected, orientable, finite-type surface of genus at least 3 is perfect, that is, it has trivial abelianization.