The phrase "a given constraints" is not correct in English.
It should be "the given constraints" or "given constraints." You can use it when referring to specific limitations or conditions that have been established in a particular context.
Example: "The project must be completed within the given constraints of time and budget."
Alternatives: "the specified constraints" or "the established constraints."
Let (mathbb S ) be the returned set of satisfying substitutions for a given constraint (P).
For a given constraint on the number of resources, it implements a pipelined datapath with minimum latency.
We also discovered rules wherein the two-side union of each rule adheres to a given constraint (see [6]).
SAT Modulo Theories (SMT) is the problem of determining the satisfiability of a formula in which constraints, drawn from a given constraint theory T, are composed with logical connectives.
We use function ({ matches}(pi,Theta )), defined below, in order to capture the relevant information of matching constraint axioms in (Theta ) with a given constraint (pi ).
Section 4 gives a definition of a computable function that returns the set of satisfiable substitutions of a given constraint set (P), when it terminates.
For example, Pontryagin's maximum principle [29] allows the calculation of the optimal control for an ordinary equation model system with a given constraint.
In addition, the adaptive fit between an agent and its environment is characterized in terms of the satisfaction of a given constraint on the trajectories of the coupled agent-environment system.
The allocation result satisfies a given constraint of geometrical errors on the finished surface, which consists of the tool positioning errors at each cutter location and the sweeping errors between consecutive ones.
Also with a given constraint which effectively limits the transmit power of the training signals, the paper investigates the optimal design of training signals under different a priori knowledge of the channel statistics.
