Sentence examples for basic theorem is from inspiring English sources

The basic theorem is then due to Trotter [655] in his thesis (written under the direction of Feller, whose interest in semigroups was motivated by Markov processes).

The scope of our basic theorem is illustrated by new classes of examples, namely, exterior "Rooms and Passages -domains, where comPassages -domainsand exterior "Jelly Roll"-domains, where it fails.

A basic theorem is established and found to be a source of inequalities for hyperbolic functions, such as the ones of Cusa, Huygens, Wilker, Sandor-Bencze, Carlson, Shafer-Fink type inequality, and the one in the form of Oppenheim's problem.

In the study by Zhu in [1], a basic theorem is established and found to be a source of inequalities for circular functions, and these inequalities are extended by this basic theorem.

The following theorem is of basic importance.

This theorem is the basic tool used in this paper.

Banach Theorem is a basic tool in Functional Analysis, Nonlinear Analysis and Differential Equations.

The following theorem is a basic tool in proving the weighted inequalities for generalized trigonometric polynomials.

A basic application of Birkhoff's theorem is in proving the completeness of a proposed axiomatization of a class C. Given an arbitrary model of the axioms, it suffices to show that the model can be constructed as the homomorphic image of a subalgebra of a direct product of algebras of C.

As previously mentioned, Frege's Theorem is that the basic laws of number theory are derivable from Hume's Principle alone.

The basic idea of the vertex solution theorem is to convert the interval linear equations into systems of equivalent deterministic linear equations.