[snip]
> I think Barbie summed it up best: "Math is hard."
> 
> Even most people who are good with computers find math hard.  There are 
> many programmers who have trouble thinking in recursive/dynamic 
> programming terms, or who have trouble with the sort of simple 3D vector 
> math found in games.  As such, searching for exponentials, or putting 
> them on the web, just doesn't come up that often.  If it did, it would 
> be a bigger part of HTML/wiki/whatever.
[snip]

The lack of a consistent mathematical representation for search engines
recently has hampered my ability to find references to the fact that taking the
arithmetic mean of ratios is a bad idea.  In turn, someone trying to
independently find references that support my theories of which of the infinite
number of means is applicable in a given situation is going to run into the
same problem.  This is only one example of the aggravation I experience from
the growing gap between computation and mathematics.

The separation of computer “science” from mathematics is what prompted Norbert
Weiner to remark that computation is about insight, not numbers.  The
ASCII-only entry into this e-mail limits how I can represent the following
examples:

It is unfortunate that the factorial function is used as an example of
recursion because the integer stopping condition leads many (if not most)
computer scientists to labor under the misconception that the argument must be
an integer; e.g. some so-called “scientific” calculators issue an error message
for 5.3! because the designers/programmers/engineers did not know that n! =
Gamma(n+1), so 5.3! = Gamma(6.3).  Many of these same “scientific” calculators
issue error messages instead of calculating sqrt(-1)^sqrt(-1) -– a “real”
number, BTW.

I suppose that there may be too few of us for whom a lack of MathML makes a
difference to constitute a “market” to be worth ubiquitous implementation.  How
does www.backspaces.net handle mathematical representations?

--Ross


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