Sentence examples for whence the result from inspiring English sources

Then (u _{m, n} ^{k + 1} in (0, mu)) by discussions in the previous section, whence the result follows.

Also, the inclusions S ⊂ T d ⊂ T yield Z H ( T ) ⊂ Z H ( T d ) ⊂ Z H ( S ) = C, whence the result.

Moreover this amounts to forming a linear combination of the columns of A that effectively involves only finitely many of them, whence the result has only finitely many nonzero entries, because each of those columns do.

whence the desired result.

The result was the formation, in 121 bce, of "the Province" (Provincia, whence Provence), an area spanning from the Mediterranean to Lake Geneva, with its capital at Narbo (Narbonne).

NEWS ANALYSIS, PAGE C1 Whence the Next Einstein?

Whence, the information emanated from this study may not be extrapolated to other institutions in Tanzania or elsewhere in East Africa.

The rules are constitutive of the respective operators' meanings; whence results proved solely by means of those rules qualify as analytic.