@jamestanton For sure: Ave(n) = (n+1)(2n+1)/6 because the sum of the. first n squares is n(n+1)(2n+1)/6 and T_(2n+1) = (n+1)(2n+1) because T_n = n(n+1)/2.
🚨 Reminder:
The map we see every day drastically distorts country sizes!
Move a country around the world to visualise this:
https://t.co/LUYECi4JHZ
(Currently writing the Map section of https://t.co/ZprzmacLrJ, so I'll share a few geospatial concepts those days) 🙃
Learning Scientific Programming with Python was included in Giles McMullen (Python Programmer)'s run-down of best AI and Data Science Books! https://t.co/8vo49TwS6I
A nice short book across 129 pages on elementary course on entropy.
Topics covered include information, Shannon entropy and Gibbs entropy, the principle of maximum entropy, the Boltzmann distribution, temperature and coolness, the relation between entropy, expected energy and temperature, the equipartition theorem, the partition function, the relation between expected energy, free energy and entropy, the entropy of a classical harmonic oscillator, the entropy of a classical particle in a box, and the entropy of a classical ideal gas.
Datamapplot 0.4 is out now, and has far more powerful and effective interactive plots.
Here is an example of a Data Map of 2.4 million papers on ArXiv, ready to be explored.