Sentence examples for corollary on from inspiring English sources

A wave put many unlikely Democrats into House seats in 2008, and a whopping 23 of them were voted out in 2010, including Representative Alan Grayson of Florida, Mr. Walsh's corollary on the left chatterwise.

The new gilded age, enjoyed by so few and observed by so many, is having its corollary on television not merely in new series driven to chronicle the lives of the very rich ("Gossip Girls," "Big Shots," "Dirty Sexy Money") but also less perceptively in crime shows that pay homage to the fiction of the status cop.

"The closest corollary on the market is the Classic Mini," says Bernal.

As an application of Theorem 1.1, we have the following corollary on basis of Lyapunov functions.

In view of Corollary 2.3, we have the following corollary on variational inequalities.

Following Theorem 2, we obtain the following corollary on the global robust stability conditions of (33).

We derive many interesting corollaries on existing known results in the literature.

Therefore, according to Corollaries 1 and 2, we can obtain the following corollaries on the global asymptotical stability conditions of (30) and (31).

In this section we give some corollaries on the boundedness of the solutions of (1.1) and (1.2) but in the convolution-type.

In Section 4, we give dyadic refinements of the multiplication formulae on R ( θ ; a, b ) with their straightforward corollaries on (1.3) and discuss the associated dyadic refinements of the Hölder inequality.

Remark 2.6: If we take T = R in Theorem 2.3-2.4 2.3-2.4e T = Z in Theorem 2.3-2.5, take immediaTely we obtain a number of corollaries on continuous and discrete analysis, which are omitted here.