Ciro Santilli @cirosantilli 37

web.archive.org/web/20200621205928/https://courses.maths.ox.ac.uk/node/view_material/1720 also mentioned at math.stackexchange.com/questions/579453/real-world-application-of-fourier-series/3729366#3729366 from heat equation solution with Fourier series.

Not possible directly without first creating an AMI image from snapshot? So annoying!

The hot and more expensive sotorage for Amazon EC2, where e.g. your Ubuntu filesystem will lie.

The cheaper and slower alternative is to use Amazon S3.

Or is real word data necessary, e.g. with robots?

Fundamental question related to Ciro's 2D reinforcement learning games.

Bibliography:

Cool dude. Uses Stack Exchange: physics.stackexchange.com/users/31790/danielsank

Started at Google Quantum AI in 2014.

Has his LaTeX notes at: github.com/DanielSank/theory. One day he will convert to OurBigBook.com. Interesting to see that he is able to continue his notes despite being at Google.

Existence and uniqueness results are fundamental in mathematics because we often define objects by their properties, and then start calling them "the object", which is fantastically convenient.

But calling something "the object" only makes sense if there exists exactly one, and only one, object that satisfies the properties.

One particular context where these come up very explicitly is in solutions to differential equations, e.g. existence and uniqueness of solutions of partial differential equations.

web.archive.org/web/20120414075927/http://blogs.discovermagazine.com/cosmicvariance/2011/03/30/how-to-get-tenure-at-a-major-research-university/

GPIO generally only supports discrete outputs.

But for some types of hardware, like LEDs and some motors, the system has some inertia, and if you switch on and off fast enough, you get a result similar to having an intermediate voltage.

So with pulse width modulation we can fake analog output from digital output in a good enough manner.

You can connect form an Ubuntu 22.04 host as:When in screen, you can Ctrl + C to kill main.py, and then execution stops and you are left in a Python shell. From there:but be aware of: Raspberry Pi Pico W freezes a few seconds after after screen disconnects from UART.

Other options:

Appears to be a port of gothinkster/node-express-realworld-example-app to Sequelize.

Seemed to just work at 68bbadfd77f679f0df0fcd0de5bceb9c37b1144a Ubuntu 20.10, was forked from parent project in 2018.

We define this as the functional equation:It is a bit like cauchy's functional equation but with multiplication instead of addition.

This idea comes up particularly in the phase space coordinate of Hamiltonian mechanics.