"Dirk Van de moortel" <dirkvandemoortel@ThankS-NO-SperM.hotmail.com> wrote in message news:o6yDc.167462$Z%7.8497177@phobos.telenet-ops.be... | | "Dirk Van de moortel" <dirkvandemoortel@ThankS-NO-SperM.hotmail.com> | wrote in message news:KDdCc.4526$Yf1.2176@news.cpqcorp.net... | > A few posters recently showed having some 'minor' | > difficulties with the concept of square roots: | | [snip] | | > So we have: | > sqrt(x^2) = x for all x >= 0 | > sqrt(x^2) = -x for all x <= 0 | > | > And we have: | > IF x >= 0 THEN sqrt(x^2) = x | > IF x <= 0 THEN sqrt(x^2) = -x | > | | For fun, I asked a friend to check how packages like Maple | and Mathematica react to an expression like sqrt(x^2). | Result: | https://home.deds.nl/~dvdm/dirk/Stuff/SqrtMapMath.gif | | Dirk Vdm Let's see if it works then. x = sqrt(1). What is x? Well well... If x = 1 then x = 1. If x = -1 then x = -1. Let x = Dinky. If Dinky is a moron then Dinky is a moron. Does the term "tautology" come to mind? This way, x = moron(Dinky) is ALWAYS positive. Androcles :-) |
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