Sentence examples for indeed if for from inspiring English sources

Indeed, if for, our purpose is reached.

(2.5) Indeed, if for some (n inmathbb {N}) we have the inequality (x_{n}=Tx_{n-1}= x_{n-1}), then the proof is completed.

We denote by (P_{t}(M_{delta})) the Poincaré polynomial of M. It is clear that in general, we get a better result using Morse theory; indeed, if for example M is obtained by a contractible domain cutting off k disjoint contractible sets, it is (operatorname{cat}_{M_{delta}}(M =2) and (P_{1}(M)=1}k).

Indeed, if, for instance, S π is affinely homogeneous and is an affine equivalence between S π and, then f∘g is a linear equivalence between S π and, where g is an affine automorphism of S π such that g(0)=f -1 0).

Indeed, if for instance k A =2 and r A =k A +δ with δ>0, application of (79) implies k B =R, i.e., B must be full column rank, whereas (80) gives k B ≥R-δ which does not require that B be full column rank.

Indeed, if, for example, (d = bar{x} - bar{a} in {overline{K}_w^{times }}^2) then since (d notin { overline{k}_v(bar{x})^{times }}^2) and ([overline{K}_w : overline{k}_v(bar{x})] leqslant 2), we obtain that begin{aligned} overline{K}_w = overline{k}_v(bar{x})(bar{y}) = overline{k}_v(bar{x})(sqrt{d}).

The Washington Evening Star subsequently published a report, picked up by several other papers, calling her a "brusque, talkative woman" and concluding, "she passes, indeed, if not for a village courtesan, at least for something not far removed from that relation".

Indeed, if not for a missed bus or 50,000, you can imagine Keaney representing Australia at Eurovision instead of Guy bleedin' Sebastian.

And in the pantheon of Labour chancellors, he ranks very high indeed, if only for having (so far) warded off the kind of financial crisis that afflicted most of his predecessors.

Steven Broad, executive director of Traffic, said: "The UK government has shown commendable leadership to date in the international efforts to curb wildlife trafficking – it would appear very odd indeed if support for much-needed actions against wildlife crime at home were then undercut".

Indeed, if checking for this would require a lengthy hand count, the protestors and plaintiffs outside may push for one, further delaying this most unusual election result.