Sentence examples for importance in the theory of from inspiring English sources

They are of great importance in the theory of numbers.

He also showed that no such system can prove its own consistency: a stronger set of logical assumptions is needed to prove the consistency of a weaker set (a result of profound importance in the theory of computing).

This packing problem is of great importance in the theory of factorial designs and also in communication theory, because the existence of an n × r matrix with the property Pt leads to the construction of an orthogonal array (qr, n, q, t) of index unity.

The stability of the solution of a definite solution problem is of great importance in the theory of partial differential equations.

Of fundamental importance in the theory of graph C ∗ -algebras is the fact that O 2 ⊗ O 2 ≅ O 2 (homeomorphically).

This fact is of importance in the theory of total π-electron energy, for details see [3, 4] and the references cited therein.

The importance of convolution in the theory of operators may be understood by the following set of examples given by Barnard and Kellogg [12].

Finally, detailed information about reaction mechanisms permits unification and understanding of large bodies of otherwise unrelated phenomena, a matter of great importance in the theory and practice of chemistry.

It contains solutions to a number of geometric problems, shows that stable figures for a homogeneous rotating fluid mass are the ellipsoids of revolution, and gives for the first time the correct theory for distinguishing between maxima and minima in general (see calculus of variations), pointing out the importance of the distinction in the theory of the multiple points of curves.

In this section we shall indicate the importance of Corollary 2.6 in the theory of Fourier multipliers (FMs).

Much of the importance of this discussion resides in the theory of modality that Grosseteste develops, but it is also of importance for the argument Grosseteste presents for the incompatibility of God's knowledge of the future and future contingency.