Sentence examples for correspondence representations from inspiring English sources

Generalizing a result of Li, we show that under the correspondence representations with nonzero cohomology are matched in an interesting way, with unitarity not necessarily preserved.

Although chimps, monkeys and parrots can learn to associate Arabic numerals (or number words) with numbers of items (Ferster 1964; Matsuzawa 1985; Washburn and Rumbaugh 1991; Pepperberg and Gordon 2005), few have so far exhibited any benefit to using such symbolic, rather than one-to-one correspondence, representations.

Under the terms of the Vienna Agreement (signed in 1991 with ISO – International Organisation for Standardisation) technical cooperation by correspondence, mutual representation at meetings and coordination meetings, and adoption of the same text, are ensured to be both an ISO standard and a European Standard.

We adopt the Langlands classification to the context of real reductive dual pairs and prove that Howe's Duality Correspondence maps hermitian representations to hermitian representations.

The key ingredient of our analysis is Theorem 3.1.1 which asserts a bijective correspondence between Silov representations of the algebra of analytic functions on the flow and C∗-representations of GJ X,R) and L X,R).

In order to address this fundamental issue in kinematic synthesis, we introduced essential constraints into the concept of topology through the analysis of representative architectures, proposed a topological representation which provides a better correspondence between the representation and the intended manipulators, a necessity for topological synthesis and documentation.

The abelian groups in (mathbf {V}downarrow L) are then in correspondence with certain representations of (mathrm {U}(L mathbf {V})_e).

Abelian groups in the category (mathbf {Loops}downarrow L) are in one-to-one correspondence with the representations of the group (mathrm {U}(L _e).

Another version claims that truth always involves a correspondence between mental representations and things in themselves, from which it would follow that on Kant's view it is impossible for us to have true beliefs about the world.

Moreover, we show that such a lift is unitary if and only if it is a weakly fair derived functor module of the form Aq. Finally, we show that the correspondence of unitary representations behaves well with respect to associated cycles.

Moreover, there exists a one-to-one correspondence between both representations, as illustrated by the following example: Example 0.1.