Re: Is lifespan following Moore's Law (ie: increasing exponentially)?

Xiaoguang Li (
Fri, 15 Oct 1999 14:38:43 -0400 (EDT)

just a quickie regarding the apparent confusion about the terms
_polynomial_, _geometric_, and _exponential_. the following is my present
understanding of these words.

a _polynomial_ function looks something like f(x) = mx^n, where m and n are constants.

an _exponential_ function takes the form f(x) = n^x, where n is constant. thus, for every unit increase in x, one multiplies the "old" value of f(x) by a constant -- namely n -- to obtain the "new" value of f(x); ie. f(x) = f(x - 1) * n = [n^(x - 1)] * n = n^x.

finally, i first met the term _geometric_ in the context of numerical series such as 1, 2, 4, 8, ... 2^x, in which one multiplies the (n - 1)th term by a constant -- in this case 2 -- to derive the nth term.

therefore, the interchangeability of the terms _exponential_ and
_geometric_ seems well justified. the _polynomial_, on the other hand, is
a very different beast.