Sentence examples for a converse to from inspiring English sources

Our second result is a converse to Cartan's theorem: provided thatΩhas a Green's function, every quasi-subharmonic function 4 onΩis the supremum of some family of subharmonic functions.

There are various versions of a converse to Banach's fixed point theorem in the literature, for example [44, 55, 67, 80].

When α is an outer and integrable action on a factor N we prove that the inclusion Nα⊂N is irreducible, of depth 2 and regular, giving a converse to the results of M. Enock and R. Nest (1996, J. Funct. Anal.137, 466 543; 1998, J. Funct. Anal.154, 67 109).

But he added that there is a converse to this, too, if the iPhone does in fact launch: "The anticipated Apple iPhone 5, along with Chinese manufacturers pushing 3G and preparing for major device launches in the second half of 2012, will drive the smartphone market upward," he noted.

It actually describes a new converse to the Banach contraction theorem differing from the ones in Meyers [12], Leader [13], Opoitsev [14].

Using the preGM and preMegE gene sets, we here extend this analysis by showing that disruption of C/EBP function in HSCs perturbs early Mk/E and GM progenitor gene expression in a manner converse to that of FOG-1 depletion, consistent with the negative cross-regulation between FOG-1 and C/EBPs translating into opposing roles in global lineage programming and lineage commitment.

This is a converse statement to the strong version of the Wielandt–Hartley Theorem (see previous remark) and it was proved by P. Kleidman in his famous work [17].

Converse to CENP-A overexpression, its depletion by siRNAs significantly (P<0.05) inhibited cell proliferation and colony formation compared to the pSil2.1-U6 mock transfectants (Figure 4A&4B).

In the bimodule setting, we show that relative operator 1-biflatness of A(G) is equivalent to the existence of a contractive approximate indicator for the diagonal GΔ in the Fourier Stieltjes algebra B(G×G), thereby establishing the converse to a result of Aristov, Runde, and Spronk [3].

The shoe gods at Nike grabbed some of the Lunarlon technology, which usually resides inside Nike shoes, and crafted a new insole for Converse to use in the Chuck Taylor II.

Dark Horse also worked with Converse to stage a promotion in early 1997 for a fan to appear in a Quest comic.