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Ordinal Number. In common usage, an ordinal number is an adjective which describes the numerical position of an object, e.g., first, second, third, etc. In formal set theory, an ordinal number (sometimes simply called an ordinal for short) is one of the numbers in Georg Cantor's extension of the whole numbers. An ordinal number is defined as the order type of a well ordered set (Dauben 1990, p. 199; Moore 1982, p. 52; Suppes 1972, p. 129).
In mathematics, a function is defined as a relationship between defined values and one or more variables. For example, a simple math function may be: y = 2x. In this example, the relationship of y to x is that y is twice as much as the value assigned to x. While math functions can be far more complex than this, most are simple relative to functions used in computer programming. This may be why math functions are often referred to as expressions, while computer functions are often called procedures or subroutines. Computer functions are similar to math functions in that they may reference parameters, which are passed, or input into the function. If the example above were written as a computer function, x would be the input parameter and y would be the resulting output value. It might look something like this: function double(x) { $y = 2 * x; return $y;}