Mizael, Santos, & de Rose, 2016) may transfer across members of

equivalence classes, so that humans may exhibit attitudes toward objects with which they have no direct experience.

in [2], Choi constructs a bijection between the set of Davis-Januszkiewicz

equivalence classes of small covers over an n-cube and the set of acyclic digraphs with n-labeled nodes.

Also, their

equivalence classes are given and studied.

The accuracy of equivalent partitions in knowledge characteristics is studied and the difference in

equivalence classes is analyzed.

Because of Corollary 5.8, we know that [[gamma].sub.nk](A) will be a singleton whenever D is invertible, so in that case, these boosting functions are well-defined on the

equivalence classes. Note that it might also not necessarily be true that a [[gamma].sub.nk]([[A].sub.k]), by which we mean the set

The main object in functions' algebra is the set of vector functions, divided into

equivalence classes, which form a lattice.

Ellis avowedly follows Paul Churchland's thesis that higher levels of hierarchical organization, including mental phenomena, are Platonic entities that can best be viewed as "

equivalence classes." Complex systems are typically multiply realizable; that is, many lower level states instantiate the "same" abstract category--a wide array of amino acid, cellular, or neurological configurations can instantiate the same biological function, meaning, idea, or intention, for example.

Input: RTST([t.sub.th]) and [mathematical expression not reproducible]; Output: Substgrp; % the set of equivalent class BEGIN (1) Substgrp = 0; (2) FOR each r in R' (3) [t.sub.s] = r; (4) if [t.sub.s] < [t.sub.th] then (5) [mathematical expression not reproducible] % The set of

equivalence classes with sampling interval of [t.sub.s] is obtained.

We start this section by recalling some pertinent concepts and key lemmas from the function of bounded variation, fuzzy numbers, and fuzzy number

equivalence classes which will be used later.

Figure 3b is a partition with four

equivalence classes, and each equivalence class has four points.