12/11/2014, 10:58 PM
(This post was last modified: 12/11/2014, 11:18 PM by sheldonison.)

(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