The phrase "a set of equivalence" is not correct in standard English; it should be "a set of equivalences." You can use it when discussing multiple items or concepts that are equivalent in some way, typically in academic or technical contexts.
Example: "In mathematics, we often analyze a set of equivalences to understand the relationships between different equations."
Alternatives: "a collection of equivalences" or "a group of equivalences."
To improve the inference of non-significant NHST p-values, this paper reports a set of equivalence tests performed on data from a recent meta-analysis synthesizing 32 intranasal oxytocin studies.
A set of equivalence formulas for lS4 is {□ (p↔ q)}.
A set Δ p, q) that defines in every L-theory its Leibniz congruence is called a set of equivalence formulas for L. It is clear that every algebraizable logic is equivalential and every finitely algebraizable logic is finitely equivalential.
Taking the previous example into consideration, when a hypothetical standardization organization publishes the MOS parameter using NetQoSOnt, it must also publish a set of equivalence relations between MOS ranges and QoS specification at the Internet level.
A class of algebras K for which there are sets Eq and Δ with these two properties is said to be an equivalent algebraic semantics for L. The set of formulas Δ is called a set of equivalence formulas and the set of equations Eq a set of defining equations.
A set of equivalence formulas for a logic L should be considered as a generalized biconditional, in the sense that collectively the formulas in the set have the relevant properties of the biconditional that make it suitable to define the Leibniz congruences of theories, for example in classical logic.
Here we introduce a new mixed graphical structure called the chain event graph that is a function of this event tree and a set of elicited equivalence relationships.
Let E(l[ z b]) be a function which returns a set of all equivalence classes that have a value of l[ z b].
The need for a level playing field should surely be a key requirement of any regulatory process, and the idea of establishing a common set of equivalence limits should be seriously considered, either based on historical data or, if necessary, based on data from new studies set up specifically for this purpose.
A complete set of equivalence conditions, connecting the node-centered finite volume and the mass-lumped finite element schemes, is derived for the first time for the one-dimensional compressible Euler equations with cylindrical and spherical symmetry.
2.4.2. that there is a simple reason for the marked differences between what happens on the sphere and what happens in our previous examples: Hermann Weyl proved that when the group G is compact, there is but a countable set of equivalence classes of irreducible representations.
