Explaining y=abs(x) as an Elementary Function

trelek2
Messages
86
Reaction score
0
I have looked up what an elementary function is but I'm still stuck with showing that
y=abs(x) is one.

Can anyone explain how to show this?
 
Mathematics news on Phys.org
What are you given for the definition of elementary function? Under the one I am familiar with, y=|x| is not.
 
Well, can't see how it is either. Its just that the problems says I have to show that it is.
I looked the definition up on wikipedia.


Maybe I'm supposed to write that it isn't?
 
I believe that f(x) = |x| is an elementary function. Hint: Express it in terms of squares and square roots.
 
cheers!
 
It is an elementary function. Think of it as |a| = SQRT(a^2)

Wiki gives a great little explanation on it, http://en.wikipedia.org/wiki/Absolute_value"
 
Last edited by a moderator:
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top