In such case, we need to formally represent either mathematically or through a series of inference rules how a produced data conceptual model element can be derived from a reference ontology element or from a set of consumed data conceptual model elements, thus creating an equivalence relation between all these concepts.
}, where each element is actually an equivalence class of functions equal ρ-a.e.
Figure 6 illustrates the construction of an equivalence table.
Equivalence relation, In mathematics, a generalization of the idea of equality between elements of a set.
In order to further reveal this peeling process, a model of two-dimensional finite element analysis was developed, where an equivalence of rectangular sections to cylindrical sections of CNTs and a bilinear cohesive law were employed.
The equivalence of paths in the Squier complex corresponds to an equivalence of monoid pictures.
Now the loose summary just given to the effect that every formula is equivalent to an equivalence makes a misleading double use of the equivalence vocabulary for two different things: equivalence as mutual consequence and equivalence as the biconditional connective.
Each n ∈ N2(s) has two neighbors of N1(s) and each n belongs to an equivalence class that contains other two elements of N2(s).
In an equivalence relation, all elements related to a particular element, say a, are also related to each other, and they form what is called the equivalence class of a.
That the elements of the space are equivalence classes of functions rather than functions is sometimes overlooked, and it has interesting ramifications for interpretive investigations.
QM is obtained in roughly the following way: Let the elements of QM be the equivalence classes [x], for elements x of M determined by indiscernibility in M. If F is a one-place predicate true in M of some object x in M, then define F to be true of [x] in QM, and similarly for many-place predicates and constants.
