RE: Dividing by variable when solving algebraic equation
October 27, 2016 at 6:48 am
(This post was last modified: October 27, 2016 at 6:50 am by Alex K.)
yup, except the i is with the Sin though and Cos is the real part as you can verify if you plug in 0 into the exponential
I simply think of complex numbers as *the* way to do calculations with pairs of real numbers. The laws we use for them is basically the only way they can be if we want the usual rules of adding and multiplications to apply. I find that that makes them appear much less mysterious.
One mystery is that complex numbers seem to be intricately woven into quantum physics. Quantum amplitudes and wave functions are always complex, there doesn't seem to be a way around it...
I simply think of complex numbers as *the* way to do calculations with pairs of real numbers. The laws we use for them is basically the only way they can be if we want the usual rules of adding and multiplications to apply. I find that that makes them appear much less mysterious.
One mystery is that complex numbers seem to be intricately woven into quantum physics. Quantum amplitudes and wave functions are always complex, there doesn't seem to be a way around it...
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
