Sentence examples for is valid with respect to from inspiring English sources

[Note: whenever there is little chance for ambiguity, we replace R x, y, z) by Rxyz.] Moreover, it is required that for every formula A and world t, G(A, t) implies M, t ⊨ A. A formula A is true in model M iff M, T ⊨ A, and A is valid with respect to a class of models if A is true in all models from that class.

We say that the layout L (ℛ, C ) is valid with respect to a set of biclusters S if every bicluster B ∈ S is contiguous in L (ℛ, C ).

For example, the layout in Figure 1(b) is valid with respect to the bicluster ({7/04/2004, 7/03/2004, 7/02/2004}, {> 60F, Daylight > l0 h, Cloudy, Rainy}) since the bicluster spans rows four to six and columns two to five in the layout.

We now formally define the bicluster layout problem: Given a matrix D and a set S of biclusters in D, find a layout L of D such that L is valid with respect to S and L has the smallest size among all valid layouts of D. Booth and Leuker [ 22] developed a data structure called the PQ tree, which they used to compute a column ordering that proves that that a binary matrix M has the COP.

The proof is verified to be valid (with respect to the given logic) and to prove the required verification condition.

"So if buyers were never notified about the existence of the fee amendment, it may not be valid with respect to sales that have already occurred".

This step is very important because if we lose our alignment all our distance measurements will no longer be valid with respect to the starting position.

Thus, we are less confident that our results are valid with respect to female offending.

This assumption is considered to be valid with respect to retrograde metamorphism according to previous kinetic experiments (Yardley et al. 2014) and natural observations, as discussed above.

This indicates that the hypertonic saline model that clinically can be regarded a valid experimental model for myalgia, also seem to be valid with respect to glutamate and 5-HT release.

As in standard survey research, this procedure ensures that all parameter estimates are valid with respect to the larger sample or population from which the stratified sample has been selected, and eliminates any bias introduced by use of a stratified sample.