For S-semimodules MS and SN, their tensor product M[cross product]N is defined as the factor semigroup of the free commutative additive semigroup F=F(M x N) generated by the set M x N, factorized by the congruence [rho] generated by all

ordered pairs of the form

For example, 7 [congruent to] 2 (mod 5) and 1 [congruent to] 13 (mod 3) Define sets, [R.sub.a,b] consisting of

ordered pairs and a singleton defined by:

These

ordered pairs indicate that a is mapped to y and a is mapped to z.

Digraph D consists of a finite set V of points (vertex) and a collection of

ordered pairs of distinct points.

When the input is a function, then the function is considered as the set of

ordered pairs. In other words, y = f(x) is considered as the set of all points (x, f (x)).

In accordance with the definition by Sidman (2000), "the equivalence relation consists of

ordered pairs of all positive elements that participate in the reinforcement contingency" (Sidman 2000, p.

(ii) The first element in the

ordered pairs of 1-hop list is the sensor itself.

Mathematical concepts that are taught include how to plot data points from a table, how to label

ordered pairs, and how to name coordinates on a grid.

But the actualist transformation-method allows actualists armed with the dot-notation to follow suit, by quantifying over a-worlds and

ordered pairs:

Let us partition the set of odd-sized orbits of [gamma] into

ordered pairs and let ([O.sub.1],O2) be such a pair.

The notions of tonal "qualia" and "chroma" lie at the heart of the tonal GIS, which Rings represents as

ordered pairs of' scale degrees and pitch classes (sd, pc) respectively.

Written as

ordered pairs (x, y) according to Table 1, the coordinates of the stars are as follows: Atlas (66, 400); Alcyone (204, 468); Merope (224, 793); Maia (249, 336); Taygeta (488, 315); Electra (508, 858); and Celaeno (618, 640).