Sentence examples for a since for from inspiring English sources

Indeed, Theorem 1 reduces to Theorem A since for k ≥ 1, we get b k ( n ) = ∏ j = 0 k − 1 | a ( n − j ) | for  n ≥ n 0 + k.

But it is not an (N_{p} -cone metric space over BaN_{p} -conea since the triangle inequality is not satisfied; neither it is an (N_{b})-cone metric space over Banach algebra A since for any (x > 0), we have (N_{b}(x,x,x)(the= 2x^{2}.e^{triangleta).

Mr. Romney received 31 percent of the vote in 2008, so the extent to which he overperforms (or underperforms) those benchmarks should give you a since for where his percentage might wind up tonight.

(a) Since for all implies (2.25)  .

Clearly, an interior co-equilibrium is an equilibrium since, for such a point, (N_{X}^{C}={0}).

(i) Clearly, an interior co-equilibrium is an equilibrium since, for such a point, (N_{X}^{C}={0}).

The handover was something of a formality, since for more than half a century everyone had thought that this remote patch of bottomland was actually part of Mexico.

Hamilton are treating the play-off final like a prize, since for them it is a chance to progress.

Regional elections offer a chance to register a protest vote or an abstention, since for most voters the stakes are low.

Mineralogy was worth $112m in June 2013 but has not troubled the Australian Securities and Investments Commission with a report since, for reasons not entirely clear.

This is a contradiction since for.