So, N is a number of positive integer pairs (m,k) for which γ k + α m 2 < λ.
Erdős and Turán conjectured that for a positive density d and any number of integers k, there is a number N d,k) such that a subset of {1,2,…,N} that contains dN numbers has a k-term progression in it if N is greater than N d,k).
The synthesis of district energy systems requires a large number of integer and continuous variables involved in non linear models, resulting in a mixed integer non linear programming problem (MINLP).
Therefore, within a finite number of iterations, the method meets (z^{0}) since there are only a finite number of integer points in the set bigl{ zin Z^{n} mid z^{0}leq_{l} z leq_{l} ymbox{ and }x^{l}-eleq zleq x^{u}bigr}.
On the other hand, the design of gene circuits involves in general large search spaces that combine a high number of integer variables with the presence of real variables.
However, measurements of the carrier-phases are ambiguous, relative to those of the pseudoranges by an unknown number of integer cycles.
Due to the fact that current geodetic VLBI systems do not observe broadband delays, but rather sample the covered observing band by several narrow channels, the obtained delays contain an unknown number of integer ambiguities.
A number of linear and integer programming techniques have been used to minimize the total cost of earthwork by considering the various factors involved in the process.
Simply and generally speaking, a transcendental number can't be pinpointed through an equation built from a finite number of integers.
Finally, assume that (iii) holds, say f k ( x ) = g k ( x ) a.a.k for every x ∈ A and lim k → ∞ g k ( x ) = f ( x ) on A. Let ε > 0. Then for each n, since lim k → ∞ g k ( x ) = f ( x ) on A, the latter set contains a fixed number of integers, say l = l ( ε, x ).
