Sentence examples for much assumption from inspiring English sources

In this paper we build up a new function space which has been designed to handle solutions of the general nonlinear boundary value problem (1) without imposing too much assumption on the function f.

That 20 percent figure, however, is as much an assumption as a hard data point — it is challenging to calibrate these figures until one knows exactly how many voters turned out.

It helps in relaxing the much stronger assumption of independence and allows the definition of new cost functions or the proper selection of parameters such as the time lag in the covariance matrix in traditional second-order BSS methods.

Second, it indicates that the efficiency of the residual error estimator ϱ ℓ holds at least under much weaker assumption than those of Theorem 13.

Well, so much for assumptions.

These may not in fact have been certainties so much as assumptions, and racist ones at that.

This will require, above all, very much changed assumptions about what constitutes management.

Therefore, we proceed by estimating sibling-fixed effects, which need much weaker assumptions for identification.

If one is only interested in upper O-estimates on N, the next theorem gives such bounds under much weaker assumptions on the symbol.

As we shall see, Kent's conclusion follows from much weaker assumptions, namely that (a) holds and f ¯ ( x, y ) decreases in y.

The aim of this paper is to improve the above quoted results in [3] by obtaining a similar estimate under much weaker assumptions.