Calculator test

[Commie]

(12-11-2024 08:12 PM)Idnarn Wrote:  The above is missing a term:

\[2k\pi i\]

See: https://en.wikipedia.org/wiki/Complex_logarithm
\[\ln(re^{i\theta}) = \ln r + i\theta + 2k\pi i\]

Now back to the original problem, The supposedly missing term turns out to be 'sine circles' were k denotes the wave number of the cycles, \[2k\pi i\] which should be written \[2\pi{k}{i}\]notice, it's a complete wave i.e., \[2\pi\]

'k' or wave number comes from Quantum Mechanics, which is describing a physical system.Hence, I did not assign or describe a physical system to imaginary \[{i}\]

At the end of the day, our calculators discard sine circles, which was the answer I was looking for.

Also, who do think writes the articles for Wikipedia?

Cheers
Darren

[Commie]

(Yesterday 06:22 PM)AnnoyedOne Wrote:  2.pi is the cycle length for trigonometric functions but -pi/2 to pi/2 works better for some purposes. Its that simple.

Can you elaborate a bit more?

(Yesterday 06:22 PM)AnnoyedOne Wrote:  Most simply assume that k=1 and move on.

eh?

Cheers
Darren