Sentence examples for provided that which from inspiring English sources

provided that, which contradicts with the third inequality in (2.8), so, if, then in the domain.

The prices that solve (23a), (23b) and (23c) are given by as in (32a) and (32b), provided that, which ensures the feasibility of the solution and the constraint (23c), guaranteeing the uniqueness of the NE.

Thus, is positive provided that, which shows (1.19).

Since an association index with values ranging between 0 and 1 may be easier to interpret, an alternative measure could be However, γ takes values in [0,1] provided that, which holds for a bivariate Gaussian distribution, but not so in general.

Those who withheld socioeconomic status data were significantly different from those who provided that information, which may have caused bias in the analysis.

It would greatly simplify things if an additional table were provided that indicated which ribosomal genes were associated with each of these 9 low ancestry folds of this figure.

"These two powerhouse radio stations should do what they were set up to do — provide that which cannot be provided commercially, that's where the value is.

Provided that μ is normalised, which is the case in most systems studied in ergodic theory.

An ad from around 1889 promises that Lactacted Food will provide "that nourishment which is often wanting in mother's milk".

"Agency workers provide that flexibility which is why they are being used more and more in all sectors across the UK," he said.

Quixey's search engine lets the user type in queries like "baseball scores", and get a list of applications that provide just that (which they can then can filter by platform).