Raspberry Pi Install Guide/Raspberry Pi GPIO

A non-traditional proof of the Gregory-Leibniz series, based on the relationships among the zeta function, Bernoulli coefficients, and the Laurent expansion of the cotangent is given. New series for calculating pi are obtained.

In this paper we discuss several surprisingly simple methods for transforming the Raspberry Pi Pico (RP2) microcontroller into a radio transmitter, by using only cheap off the shelf electronic components, and open source software. While initially this transformation may look as a harmless curiosity, in some extreme cases it can also pose security risks, since it can be used to open a large number of local stealth radio communication channels.