Sentence examples for assume a condition from inspiring English sources

We assume a condition of parallel optics without the loss of generality.

Next, we assume a condition on the sequence { α k } considered in (1.5).

Assuming a condition of worst job stress, they demonstrated that the threshold number of working hours among men was approximately 10 h/day with a benchmark response of 5%.

The computational and data resource requirements for our method are similar to those necessary for reconstruction of linear genetic models (or identification of gene-trait associations), assuming a condition of generalized sparsity, which limits the total number of gene-gene interactions.

If the ratio lies between 0 and 25%%, we assume a normal condition.

We now assume a stronger condition, in comparison with (3.1), to approximate the given function by a solution of the Kummer's equation on a larger (punctured) interval.

Generally, to prove a coincidence point or a common fixed-point theorem for hybrid mappings, one has to assume a commutativity condition and continuity of mappings.

Assume Condition A and Condition B are satisfied and let ({y^{k}}), ({t^{k}}), ({u^{k}}), and ({x^{k}} ), be sequences generated by Algorithm 3.1.

For simplicity, we assume an average condition.

Moreover, they assume a more general condition than the Nagumo one.

We do not assume such a condition and, moreover, we obtain localisation information on the solution.