Sentence examples for the latter proof from inspiring English sources

The procedure of the latter proof could be applied to other similar problems.

From the latter proof we also get a convolution-based representation for P, however, this formula depends on Q.

Finally, set Ω r = {u ∈ K : ||u|| < r}, For any u ∈ ∂Ω r, by (A 2), Lemma 2.2 and also similar to the latter proof of Theorem 3.1, we can also have | | T u | | ≥ | | u | |, ∀ u ∈ ∂ Ω r.

In the latter proof-of-principle experiment, for the first time, an organic upconverter was applied.

Defined concepts and theorems are reduced to these two, the latter through proof.

Wlog assume the latter; the proof in the other case is symmetric.

Club chairman Shahid Azeem had been in talks with owner and majority shareholder Kris Machala over acquiring his stake in the club, but a potential deal stalled after the latter demanded proof of funds.

In the latter year proofs were struck in both the regular and "war nickel" compositions, after which they were discontinued.

Consistent with the latter evidence, proofs have also been provided that rapid image recognition can be biased by simply priming the amplitude spectrum information [ 79, 80].

Latter proofs are Knopp and Robins [55], Schuster [78], Murty [58] and Higgins [45].

Neither the former decision nor the latter delay is proof of wickedness.