Sentence examples for first introduced in the proof of from inspiring English sources

The TUIUIU filter verifies this property (first introduced in the proof of Theorem 5.1 of [ 7]), that is: (1) there exists for  w  and  w ′  a set  S  of  q -hits of size at least  p = (L − q + 1 ) − q d.

Let us use again the function Θ R introduced in the proof of Theorem 4.1.

This was first introduced in 1979 [10] without proof and was proved in 1984 [11]via an equivalent matching theorem for open covers of convex sets.

The standards were first introduced in 2010.

Diversity was first introduced in November 2006.

If we apply the technique introduced in the first part of proof in Theorem 3.3, we have the following extension of Lemma 2.3.

We introduced the proof-of-concept implementation in (Ott et al., 2007).

In this section, we first introduce some lemmas which will be useful in the proof of our main results.

Ever since South Coast Repertory first introduced the Pulitzer Prize winner to local audiences in 2003, productions of "Proof" have cropped up in five area theaters, including the current WCT version.

In this paper, we first introduce the main features of GENESIS and then introduce our cost-benefit-analysis scheme, as proof-of-concept, to study the properties of the resulting networks.

First of all, we introduce some lemmas, which will assist a lot in the proof of the main result.