A digraph is strongly connected if, for every

ordered pair of vertices (v,w), there is a directed path from v to w.

Considering that Sidman's (2000) account holds that equivalence relations consist "of

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

is an

ordered pair (D, I), consisting of a domain and an interpretation function, such that:

The diameter diam(Cay(G, S)) is the smallest integer d such that for every

ordered pair (g, h) the distance from g to h is at most d.

Written as

ordered pairs (x, y) according to Table 3, the coordinates are as follows: Atlas (0, 7); Alcyone (9, 7); Merope (16, 6); Maia (30, 9); Taygeta (35, 9); Electra (63, 5); and Celaeno (72, 9).

0) of this plane is found at the point of null interaction between the schemas, defining the absence of synthesis, while the

ordered pair (4.

For the relation "has the same decimal value as", an

ordered pair member of the relation was presented with the statement "(1 / 2, 2 / 4) is a relation".

He loved the boots and regularly

ordered pairs of white Doc Martins brogue shoes from the Northampton-based manufacturer.

They complete a function table, identify the

ordered pairs, plot the

ordered pairs on the coordinate grid, and find that all the points fall on the same straight line.

The extension of any relation R can be represented as a set of

ordered pairs of the form (d, r,> where d is an element of the mapping's domain, and r is an element of the mapping's range.

One application of the Gray codes generated in this paper is in producing Graeco-latin squares (any square of

ordered pairs in which each entry of the alphabet appears exactly once as a left-hand entry in every row and every column and similarly for right hand entries) and balanced factorial groups in the design of experiments.

To overcome these difficulties, suggested initial strategies include explaining the idea of the coordinate plane and

ordered pairs, helping students understand variables and graphing, teaching about mathematical modeling, and using appropriate textbooks in teaching the graphic aspect of concepts and algebraic notation.