Sentence examples for given there exists from inspiring English sources
Then, given, there exists, and satisfying such that (3.15).
Suppose that for a given there exists an interval and a function for which.
Suppose that for a given there exists an interval and a function with for which.
where In particular, it follows from this inequality that given there exists such that.
By, for a given, there exists, such that if then, for every, the following inequalities holds: (2.25).
Suppose that for a given there exists an interval for which conditions of either Theorem 3.19 or Theorem 3.21 are satisfied.
That is, in addition to the cyclic condition, if the map satisfies the condition that for a given there exists a such that implies that.
Suppose for a given there exists an interval for which either conditions of Theorem 4.2 or Theorem 4.6 are satisfied, then every solution of (4.2) is oscillatory.
As pointed out in [11], a point process is often characterized by the conditional probabilities of events given there exist a point of the process in a specific location the typical point.
