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About the fake abs : f(x) = f(-x)
#2
(12/11/2014, 01:22 PM)tommy1729 Wrote: When discussing fake function theory we came across the fake sqrt.
... fake_sqrt(x^2).


for large positive numbers,

this is true if |real(x)| is large enough, and |imag(x)| isn't too large
However, at the imaginary axis grows large exponentially, and does not behave like x at all. And g(x^2) never behaves like abs(x), anywhere in the complex plane

Here are some example calculations:
5^2, small error term
also a small error term, but not abs(x^2)
(5i)^2, huge error term, nowhere near 5i

- Sheldon
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Messages In This Thread
About the fake abs : f(x) = f(-x) - by tommy1729 - 12/11/2014, 01:22 PM
RE: About the fake abs : f(x) = f(-x) - by sheldonison - 12/11/2014, 10:58 PM

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