HP Forum Archive 07

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Different solutions for Y^X Message #1 Posted by Tal on 24 Jan 2002, 6:06 a.m. Hi, All! I wonder why there are different solutions for Y^X function for the following values: 0,0 0,1 1,0 1,1 in "HP48SX" and "HP12B". Is there a difference in mathematics of businesss calculation and scientific!? Best regards, Tal

Re: Different solutions for Y^X Message #2 Posted by Thibaut.be on 24 Jan 2002, 7:13 a.m., in response to message #1 by Tal There is no real solution and several complex solutions for this function. if iČ=-1, 4^3 can also be 4^-3iČ, or 1/(4^3iČ), which gives sevral complex answers. No real business/financial application, but lots of physical and engeneering applications, such as electrics and electronics.

Re: Different solutions for Y^X Message #3 Posted by J-F Garnier (France) on 24 Jan 2002, 7:37 a.m., in response to message #1 by Tal I don't have my 12 and 48 on hand, but the only case where you could get different answers should be 0^0 because it's an indeterminate expression and result depends on the calculator implementation.

Re: Different solutions for Y^X Message #4 Posted by thibaut.be on 24 Jan 2002, 9:45 a.m., in response to message #3 by J-F Garnier (France) You could have several answers for (a+bi)^(c+di) where iČ=-1

Re: Different solutions for Y^X Message #5 Posted by Tal on 27 Jan 2002, 1:07 a.m., in response to message #4 by thibaut.be Thanks All for your answers, the question regard only for the real numbers (x=0,y=1,x=1,x=0 etc.)

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