Proof that math is wrong

[HokieESM]

Originally posted by: aux
Yes, it's more or less the same flawed technique 🙂

As I said above:
This has something to do with the funny way the logarithm function (as an inverse of the power function) is defined in a complex domain, but the argument would be too technical for ATOT

Yep. This shows up a LOT when you're doing state-space solutions to controls problems or elasticity solutions with complex variables. For those of whom haven't had a lot of formal math, think about this.... the logarithm function is normally defined only for x > 0. BUT there is a logarithm of negative numbers... as well as a logarithm of complex numbers. But, given things like e^(Pi*i) = -1, you must define the logarithm VERY carefully in the complex plane.

 

[Analog]

Originally posted by: Marty
Proof

Where is the mistake?

the mistake is in step 3, you cannot casually remove x from i like you did. It is a complex number, not a function. That's the mistake.

 

[dethman]

my cat's breath smells like cat food.

 

[Analog]

Originally posted by: dethman
my cat's breath smells like cat food.

huh?