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- Real magic – space-time in Lie algebra 2017/04/29
- Geodesics on the upper half-plane – parametrization 2017/04/28
- Geodesics on the upper half-plane – Part 2 circles 2017/04/27
- Geodesics on the upper half-plane – Part 1 Killing vectors 2017/04/26
- Conformally Euclidean geometry of the upper half-plane 2017/04/25
- Esher’s Limit Circle IV rendered on the complex upper half-plane 2017/04/24
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Open System – Ark's blog
Monthly Archives: January 2017
Periods of Jacobi elliptic functions – Part 1
This one is another purely technical post. The point is that I am not very happy with all the existing expositions about Jacobi elliptic functions. I want to organize it my way which, I am sure, is better than all … Continue reading
Posted in Elliptic functions
9 Comments
Period of a pendulum
Commenting my statement that “we can now return to the imaginary time period of the pendulum” in my last post Elliptic addition theorem, Bjab aked “What about the real time period?” And indeed, we did not quite finish the case … Continue reading
Posted in Elliptic functions, Nonlinear pendulum
13 Comments
Elliptic addition theorem
Yesterday was a day with no apparent progress. Some days are diamonds (living spiraling force) some days are stones (elliptic) – I wrote. And indeed, it was elliptic stone. But “apparently no progress” is not the same as “no progress … Continue reading
Posted in Elliptic functions
5 Comments