Re: Excel Math Bug
From: Tom Ogilvy (twogilvy_at_msn.com)
Date: 08/03/04
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Date: Mon, 2 Aug 2004 23:38:20 -0400
the unary negation operator is not the same as subtraction. A basic flaw
in your argument.
Your mnenonic is incomplete. How would you express a negative number in
an equation?
the second flaw is that you attribute the syntax used in writing formulas in
Excel to be synonymous to hand written formulas. But it isn't - it is a
syntax defined by the authors of Excel. Excel defines a set of rules for
its syntax which, to increase comfort, to a large extent parallels hand
written formulas, but nonetheless, it is a syntax defined by the creators of
excel. It is thus incumbent on the user to understand that syntax; not make
assumptions.
-- Regards, Tom Ogilvy "fred" <fred@fred.frd> wrote in message news:iuzPc.108286$fv.98008@fe2.columbus.rr.com... > Well, yes, that is basically the same thing a couple of my friends said. > But none of them are mathematicians. The only thing about it is that that's > not how math/algebra/calculus/etc. is done. Negation and subtraction are > one-in-the-same to the best of my somewhat-in-depth knowledge. There's even > the mnemonic device "Please Excuse My Dear Aunt Sally" to help remember the > order in which operations are supposed to be executed (Parenthesis, > Exponents, Multipication, Division, Addition, Subtraction). > > To me the only valid argument, based on different priorities, is that > non-math-people, when using actual numbers, not cell references, expected > =-5^2 to be "negative five, squared". And they wanted to satisfy the > secretaries and bean counters, not the heavy-duty math people. > > However, having done software development myself, I think it most likely > that it's just a bug and just hasn't been fixed yet. In fact, to me, > putting in a zero and getting a different answer proves it's wrong. > > > "Alan" <alan@alan.alan> wrote in message > news:%23t8ZNuNeEHA.724@TK2MSFTNGP10.phx.gbl... > > "fred" <fred@fred.frd> wrote in message > > news:OJxPc.108250$fv.101850@fe2.columbus.rr.com... > > > > > > > > Are they rewriting math rules now? ... negation is different from > > > subtracting? Indeed! Not in any math book I've ever seen. > > > > > > > This is an interesting point. > > > > I guess I tend to view the two things as being separate and different > > in nature. > > > > Negation (in the sense that I believe you are using it above) such as > > turning +5 into -5 'creates' a new number. The value of that number > > is -5. > > > > Subtraction is an operation performed on one value with another. > > Therefore, subtracting +5 from a value is a different thing. > > > > I guess where this becomes important is in the example used elsewhere > > in this thread of: > > > > =-5^2 > > > > It could be argued that it is quite valid for either answer (+25 > > or -25) to be correct depending on whether we are squaring -5 or > > whether we are (implicitly) subtracting 5^2 from (the implicit) 0 that > > is not shown. > > > > If we put the zero in: > > > > =0-5^2 > > > > then I would suggest that the *only* valid interpretation is that we > > are subtracting 5^2 from zero, and thus the answer *must* be -25. > > > > Given that excel must have rules, it does not seem unreasonable for > > the algorithms to require an explicit subtraction, else go with the > > interpretation that we are squaring -5. > > > > > > Having said all of that, if we don't bother to use brackets to make > > the calculations completely explicit and unambiguous, then I guess we > > are each *choosing* to take the risk - whether we know it or not. > > > > Does my thinking sound reasonable? > > > > > > Alan. > > > > > > > > > >
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