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Re: standard usage of O(x^3) can be confusing

From: Russell Steven Shawn O'Connor <roconnor@uwaterloo.ca>
Date: Wed, 12 Apr 2000 15:46:18 -0400 (EDT)
To: www-math@w3.org
Message-ID: <Pine.SOL.3.96.1000412154429.25353A-100000@bacon.math.uwaterloo.ca>
> Bogus argument.  The whole point of any notation is as a shorthand for 
> something else.  Plenty of other notations need translation to become 
> first order e.g.
> 
> lim_{x->0} (sin x / x) = 1
> 
> "really means"
> 
> Exists(L) all(epsilon>0) exists(delta>0) all(x:|x|<=delta)
> |(sin x / x) - L| <= epsilon,
> and furthermore L=1.

I concede your point.

-- 
Russell O'Connor                           roconnor@uwaterloo.ca
       <http://www.undergrad.math.uwaterloo.ca/~roconnor/>
``Paradoxically, a refusal to `put a monetary value on life' means that
life is often undervalued.'' -- Artificial Intelligence: A Modern Approach
Received on Wednesday, 12 April 2000 15:46:21 GMT

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