Polynomials and Morse code in Russian
Pafnuty Chebyshev (1821-1894) has been called the father of Russian mathematics. His name has been attached to many things that come up routinely in applied math: Chebyshev filters, Chebychev’s inequality, several statements unhelpfully known as Chebyshev’s theorem, etc.
Chebyshev studied two families of polynomials that bear his name, known as, wait for it, Chebyshev polynomials of the first and second kind.
Around a century after Chebyshev shuffled off this mortal coil it was decided that a couple more families of polynomials should be named Chebyshev polynomials of the third and fourth kind.
This post looks at the four kinds of Chebyshev polynomials, especially the third and fourth kinds, and how they are related. It also discusses a couple applications/connections.
Chebyshev’s name has been transliterated into English around a dozen ways because transliterating Russian into English is messy. With that in mind, how would you adapt Morse code for Russian?
This post discusses how Morse code works in Russian from the perspective of an American telegraph operator who needed to learn to receive Russian transmissions. It also compares how Morse code implicitly transliterates the Russian alphabet with how Vim transliterates it using digraphs.
Thanks for reading.