Sentence examples for operator relations from inspiring English sources

Effectively truncating the completeness relation, a series of interconnected operator relations comes into play, some with physically untenable consequences.

For the current Tstage, the conflict and nonconflict operator relations and directed graphs Gc and Gnc are generated from the G matrix and Ptotal relation.

then holds via (75) for the bilinear operator relations on the right-hand side (r.h.s). of the Poisson and dissipation brackets (2).

In his bronchial croak, Kissinger quipped, "Relations between the operators and conceivers were never better than when I held both jobs".

The relation between projection operator, firm nonexpansiveness, averaged nonexpansiveness, and nonexpansiveness can be presented as follows.

From these two relations combined with the operator relation (38) and the definitions (40) and (41), one can obtain numerous recurrence relations.

By means of subtraction of the ConflictRelation from the PrecedenceRelation, we obtain a so-called nonconflict operator relation: N o n C o n f l i c t R e l a t i o n = P r e c e d e n c e R e l a t i o n C o n f l i c t R e l a t i o n (7).

In this section, we recall the basic definitions of ADP (Signatures, evaluation algebras, and tree grammars), in order to relate the Pareto product to other product operators (Relation between Pareto and other products) and prove our main theorem (Preservation of Bellman's principle by the Pareto product).

The expansion of the form of (2.10) by using the definition of the first prolongation of the Noether operator and relations (3.6 - 3.10) is written as follows: (3.11).

Despite the generality, all operators and relations are computable.

For a symmetric operator or relation A with infinite deficiency indices in a Hilbert space we develop an abstract framework for the description of symmetric and self-adjoint extensions AΘ of A as restrictions of an operator or relation T which is a core of the adjoint A∗.