The phrase "a set of designated" is correct and usable in written English.
It can be used when referring to a specific group or collection of items, individuals, or categories that have been assigned a particular role or purpose.
Example: "The committee will review a set of designated criteria to evaluate the proposals submitted for the grant."
Alternatives: "a group of assigned" or "a collection of specified".
The nature and severity of the neurosensory damage are evaluated using a set of designated subjective and objective evaluations.
The logical values are thus represented by a bi-partition of the set of algebraic values into a set of designated values (truth) and its complement (falsity).
The composite model contains four components: a set of regular and 'voxelized' primitives, a 'modular' inclusion tree, a set of designated constructive solid geometry (CSG) trees, and a mapping from the set of CSG trees to the inclusion tree.
The nature and extent of the neurosensory damage are evaluated using a set of designated clinical tests, each of them aimed to assess specific neural functions (Rosen, 2014; Ghali & Epker, 1989).
It was only in the 1920s that algebras and logical matrices (an algebra plus a set of designated elements) started to be taken as models of logical deduction systems, that is, as providing a formal semantics for logical formal languages.
In the last section we saw that in order to provide a logic with an algebraic semantics we need in many cases to consider in every algebra a set of designated elements instead of a single designated one.
A second set of designated T6SS-related genes was found in the genomes of E. pyrifoliae DSM 12163T (EPYR_02109-EPYR_02113) and E. tasmaniensis Et1/99 ETA_18657-ETA_186599) (Fig. 5B) which are absent in S. proteamaculans 568.
Studies of gene expression profiling demonstrated that a set of genes, designated as the proliferation signature, can predict the clinical outcome of patients with MCL with so far unrivaled precision (Martinez et al, 2003; Rosenwald et al, 2003; Ek et al, 2004).
The matrix assignments of values to formulas are homomorphisms from the algebra L of formulas to the algebra A presumed to be of the same similarity type of L of a matrix (A, D), where D ⊆ A; D is called the set of designated elements of the matrix.
An algebra is a matrix without a set D of designated elements.
In the definition of algebraic semantics one takes the move from a single equation to a set of them in the definability condition for the set of designated elements.
