Sentence examples for above applying from inspiring English sources

In connection with the above, applying our general principle of transpose for non-numerical transverses (see Tasković [5, p. 89]) to Corollary 13, we get an extended and generalized version of this result in the following sense.

As above, applying the Greenberg functors to the O -schemes J x and N we get k -groups J x, n, J x and N n, N. Since the Greenberg functor is left exact, we get an exact sequence 1 → N → P x → J x. Since N K = 1, we have N = 1 according to Lemma 15.2 (2).

The long internal stems that separate them from the Nif proteins likewise reflect rapid quantum evolution during the origin of nitrogen fixation, and do not accurately indicate elapsed time; by the same argument as above, applying a simple clock to Nif half of the tree would give an absurd separation between Nifs and pigment reductases before the universe began.

As The Economist article noted, there have been a few recent studies estimating climate sensitivity toward the low end of that range, mainly using the second approach listed above, applying recent measurements to simple climate models.

Briefly, aptamer candidates were amplified by PCR as described above, applying one biotinylated primer AP3.

Therefore, as discussed above, applying structural strategies may be more effective.

Neither of the above apply to me.

If none of the above applies to you, your employer may step in and help.

If none of the above apply, it's likely you'll get gradual improvement simply by providing good care as your lawn matures.

All the above applies to photography, too, which has won attention and money and status partly by growing too big to ignore.

The restrictions noted above apply, and several require a departure on Thursday or a return on Tuesday, March 2. J. R. ROMANKO Boston to Manchester, England (US Airways), $207.