math.stackexchange.com/questions/2382011/computational-complexity-of-modular-exponentiation-from-rosens-discrete-mathem mentions:
can be calculated in:
Remember that and are the lengths in bits of and , so in terms of the length in bits and we'd get:
Computational physics Updated 2025-07-16
The intersection of two beautiful arts: coding and physics!
Computational physics is a good way to get valuable intuition about the key equations of physics, and train your numerical analysis skills:
Microwave transmission for trading Updated 2025-07-16
Finance is a cancer of society. But I have to admit it, it's kind of cool.
Video 1.
Lasers Transmit Market Data and Trade Execution by Anova Technologies (2014)
Source. Their system is insane. It compensates in real time for wind movements of towers. They also have advanced building tracking for things that might cover line of sight.
Computer security Updated 2025-07-16
As mentioned at Section "Computer security researcher", Ciro Santilli really tends to like people from this area.
Also, the type of programming Ciro used to do, systems programming, is particularly useful to security researchers, e.g. Linux Kernel Module Cheat.
The reason he does not go into this is that Ciro would rather fight against the more eternal laws of physics rather than with some typo some dude at Apple did last week and which will be patched in a month.
Coulomb's law Updated 2025-07-16
Static case of Maxwell's law for electricity only.
The "static" part is important: if this law were true for moving charges, we would be able to transmit information instantly at infinite distances. This is basically where the idea of field comes in.
Video 1.
Coulomb's Law experiment with torsion balance with a mirror on the balance to amplify rotations by uclaphysics (2010)
Source.
Congruent matrix Updated 2025-07-16
Two symmetric matrices and are defined to be congruent if there exists an in such that:

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