Then for every word (w') obtained from w by applying the relations of (tilde{S}( MM _4)) we have (alpha _j(w')=alpha _j w)), (j=1,2,3,4), u(w) is obtained from (u(w_1)) by applying relations of (S( MM _2)).
In that case applying relations of (S( MM _k)) to w amounts to applying commands of ({mathrm {Sym}}( MM _k)) to the configuration (c=(i epsilon _1,ldots,epsilon _k)) (by Properties 3.1 and 3.2).
By applying relation (3.8) for, we deduce that, for all and thus the proof is complete.
Figure 2C,E,G shows that the applied relation between body mass and acquisition time per bed position for the Biograph mCT compensates well for the SNRL decline normally seen (cf. Figure 2A) in heavy patients.
Overall, H ybrid obtained the highest points in nearly every scoring category, indicating the success in applying relation classification in conjunction with ML.
This applies to relations between European countries as well as to relations with the USA.
A party specially affected by a breach of a multilateral treaty may suspend the agreement as it applies to relations between itself and the defaulting state.
Epistemological unity applies to relations or goals such as explanation.
The same applies in relation to next October's across-the-board re-calculation of LHA rates, which will lower the maximum amount of benefit payable in any Broad Rental Market Area.
They amend subordinate legislation, that applies in relation to Wales, in the field of food marketing, labelling, classification and other related measures.
