Sentence examples for assures the existence of from inspiring English sources

The following lemma assures the existence of stationary point.

Furthermore, condition (3.28) assures the existence of a matrix function such that condition (3.18) is fulfilled.

Anderson ([1972]) assures the existence of a solution for r≤N/2.

The continuity of f assures the existence of x", z" ∈ [x', z'], x" < z", such that f(x") = f z") and z" - x" = y - x'.

Typically, at least biconnectivity is imposed on the network topology, which assures the existence of at least two disjoint paths between any pair of nodes in the network.

Additionally, the result from Bootstrap as described in Table 8 assures the existence of the first 6 clusters and stability of its elements at (95%) confidence level.

In this case, the main point is to assure the existence of nontrivial solutions.

Energy dispersive X-ray spectroscopy (EDX) assured the existence of both iron and gold elements in the prepared nanoparticles.

Here, we assume (theta _{H} - frac {eta }{1 + eta }PDelta theta > 0) to assure the existence of an interior solution.

But, best proximity point theorems provide sufficient conditions that assure the existence of approximate solutions which are optimal as well.

The goal of best proximity point theory is to furnish sufficient conditions that assure the existence of such points.