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Scott Klement wrote:
The question isn't whether algebra predates HLLs!
The question is whether the "Please Excuse My Dear Aunt Sally" rule
predates the HLLs. I tend to agree with JHHL. When I took computer
courses in school they told us that the PEMDAS rule was only for
computers. Later, they adopted it in algebra as well.
And yet according to Wikipedia, it appears to have existed for
centuries; perhaps it just wasn't universal.
Then, too, consider that in standard algebra, implicit multiplication
signs are used far more frequently than explicit, and horizontal
fraction bars are used far more frequently than any form of division
sign; both of those conventions have their own implications for
precedence. Likewise, the use of ** or ^ as exponentiation signs is an
artifact of the inherent inability to superscript an exponent (or form a
radical sign) in the overwhelming majority of the ways in which we write
source code.
--
JHHL
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