Sentence examples for exists a complete set of from inspiring English sources

The system is called hyperbolic if the Jacobian matrix ∇ d f associated with the fluxes has real eigenvalues and if there exists a complete set of eigenvectors.

The sample was restricted to men and women over the age of 18 for whom there exists a complete set of data on health and demographic variables (age, sex, marital status, education, family income, etc) were available.

2. There exists a complete set of pairwise parallel nice minimal cuts for G (P ).

By Theorem 5 and Lemma 9, profile is compatible if and only if there exists a complete set of pairwise parallel nice minimal cuts for G (P ).

A profile of unrooted phylogenetic trees is compatible if and only if there exists a complete set of pairwise parallel legal minimal cuts for G (P ).

Assume that there exists a complete set of pairwise parallel nice minimal cuts of G (P ) where, for every F ∈ F and every T ∈ P, F contains at most one edge of T. By Theorem 18, Σ (F ) is compatible and, by Theorem 1, there exists an unrooted tree S where Σ (F ) = Σ (S ).

An unsolved question is whether there can exist a complete set of mutually orthogonal Latin squares of order k if k is not a prime power.

In saying that there is no contradiction, Leibniz means that either property or action – crossing the Rubicon or remaining in Gaul – could co-exist within a complete set of properties of a Caesar.

In the case of the Difference Engine, a complete set of plans existed.

(i)There exists a complete orthonormal set of eigenvectors of.

Besides, to attempt to demonstrate our previous proposal that some selectivity exists to try to avoid the auto-immune response, we obtained a complete set of linear B-cell epitopes from the three most complete and current epitope databases.