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Mar25-06, 09:07 PM
Sci Advisor
HW Helper
P: 1,123
Quote Quote by Loren Booda
I'll give it a try:

Iterative functions fn, fn+1, fn+2 ... can be described by fn+1=g[fn] where g represents a function.
Given x + y = z


[tex]z_n = \frac{\left[ x *10^{n-1} \right] + \left[ y * 10^{n-1} \right]}{10^{n-1}} [/tex]

And the limit:

[tex]\lim_{n \rightarrow \infty} z_n = z[/tex]

You can 'evaluate' edition this way, it doesn't make much sense to do so but it is a way of show addition can be described as an iterative procedure for [itex]x, y, z \in \mathbb{R}[/itex] in terms of adding numbers of integers, which themselves can be expressed as iterative procedures.