Sentence examples for is proved together from inspiring English sources

An index theorem for higher Chern characters of odd Fredholm modules over crossed product algebras is proved, together with a local formula for the associated cyclic cocycle.

The facts that lim n → ∞ v n = u and the point u is unique are proved together.

Starting from a heat semigroup, we develop a functional calculus and introduce a paraproduct based on the semigroup, for which commutator estimates and Schauder estimates are proved, together with their paracontrolled extensions.

The existence is proved using Theorem 2.1, together with a truncation technique.

The substitution theorem is proved using Malliavin calculus techniques together with new estimates on the underlying stochastic semiflow.

It is proved that when this controller together with the corresponding switching rule are implemented into each subsystem of the original system then such decentralized controller quadratically stabilizes the overall closed-loop system with H∞ norm bound γ.

It is proved that when this controller together with the corresponding switching rale are implemented into each subsystem of the original system then such decentralized controller quadratically stabilizes the overall closed-loop system with H∞ norm bound γ.

Based on this uniform estimate the global existence is proved by the standard continuation argument together with the local in time existence theory; for example, see [5].

It sounds a little stupid but it is proven that people who work together, win together.

But persuading even these three, let alone others, to work together is proving extremely hard.Others in the opposition argue that the elections will have to be overseen by Mr Habibie, and he must hurry up.

In fact, it is proven that R-axiom together with a weaker form of the reflexivity axiom, pseudo-transitivity rule and exactly one of union, intersection or difference rule form such desirable minimal sets.