Sentence examples for special assumptions from inspiring English sources

Again, here some special assumptions may be of interest.

Applications also typically incorporate special assumptions about utility functions, also derived from experiments.

This test was selected because it does not require special assumptions about the evaluation set.

Recently, Grünwald and Halpern have shown that commonly used updating strategies fail in this case, except under very special assumptions.

In the derivation of the GDI in (103), we require no special assumptions on ( P_{sto} (t) ).

If we want to avoid making any special assumptions about properties, then, we will need to analyse intrinsicality using notions other than broadly logical ones.

In our demos we did not make special assumptions for the motions and used the same process noise values for all axes.

This objective function subject to the training energy constraint tr ( P ′ P ′H ) ≤ P seems very difficult to minimize analytically unless special assumptions are made.

The speciality of this paper is that it has been obtained in the most general settings of a metric space without any special assumptions on this space.

In the previous theorem special assumptions are needed in order to guarantee that for each manifod (X') homotopy equivalent to X the classifying holomorphic map (f : hat{X' } rightarrow Z') be birational onto its image, and indeed an embedding.

The proposed techniques are actually general methods for tracing TC without any special assumptions or requirements associated with power systems and can be extended to trace the TC of power systems containing wind power.