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Among proposals in the literature, symbolic languages are sets of operators for compositional and incremental definition.
In 1931 von Neumann gave a detailed proof (of a conjecture by Stone) that the canonical commutation relations (CCRs) for position coordinates and their conjugate momentum coordinates in configuration space fix the representation of these two sets of operators in Hilbert space up to unitary equivalence (von Neumann's uniqueness theorem).
Extending the SPL ternary and binary logics to handle awareness tags implies defining two new sets of operators over two new tuples, respectively the (langle ble,tagrangle ) (or (langle b,trangle )) for the extended binary logic, and the (langle rule,tagrangle ) (or (langle r,trangle )), for the extended SPL ternary logic.
Additional comparisons for smaller sets of operators and against analytical results for the tree height expectations and variances are presented in Section 4 of the Supplementary Material.
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This set of operators enables operating over an encrypted database without the knowledge of cryptographic keys or acquiring sensitive information from user queries.
A set of operators are tested on these artificial networks and their behaviour characterised.
The report suggests having one set of operators answer all kinds of emergency calls and dispatch whatever help is needed.
The utility-based transcoding descriptor basically provides the information of a possible set of transcoding operators that meet the bit rate constrained by network or terminal, and when available, the utility ranking of the set of operators.
An adequately designed and parameterized set of operators is crucial for an efficient behaviour of Genetic Algorithms (GAs).
Argos is a set of operators that allow to combine Boolean Mealy machines, in a compositional way.
We show that Bk(h) is generated in fact by an essentially smaller set of operators, i.e., the Toeplitz operators with k-quasi-radial symbols and a finite set of Toeplitz operators with "elementary" k-quasi-homogeneous symbols.
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