There is a kind of operator in Hilbert spaces, called a density operator, that serves well in the latter capacity, and it turns out not to be hard to restate everything that has been said about state vectors in terms of density operators.
The general spectral theorem for self-adjoint operators involves a kind of operator-valued Riemann Stieltjes integral, rather than an infinite summation.
In the 1940s, Israel Gelfand, Mark Naimark and Irving Segal gave a definition of a kind of operator algebras called C*-algebras that on the one hand made no reference to an underlying Hilbert space, and on the other extrapolated many of the useful features of the operator algebras that had previously been studied.
The parallel operator is a kind of composition operator to calculate the UGF for the parallel MSS, which strictly depends on the properties of the parallel structure function [9, 10].
"Some referees use the TMO as a kind of video operator, 'show me that again please', others take instruction, others take guidance.
"Some referees use the TMO as a kind of video operator - 'show me that again please' - others take instruction, others take guidance.
Even though propositional provability logic is a modal logic with a kind of "necessity" operator, it withstands Quine's (1976) controversial critique of modal notions as unintelligible, already because of its clear and unambiguous arithmetic interpretation.
If conclusions were membership functions, then aggregation makes sense and a kind of OR operator among them is to be applied.
As the application of Theorem 2.2, we give a new kind of operators.
