### Reimagining mathematical notations

Maths notation is often overly complex. Let’s see how this can be better:

Maths notation is often overly complex. Let’s see how this can be better:

Heard of Skewes’ Number? It is the number above which must fail (assuming that the Riemann hypothesis is true), where is the prime counting function and is the logarithmic integral. Isaac [...]

Zipf’s law /ˈzɪf/, an empirical law formulated using mathematical statistics, refers to the fact that many types of data studied in the physical and social sciences can be approximated with [...]

Remember the working on Taylor Series from your A-level Math MF15? This video walks you through what would be the Taylor’s Series of a polynomial. Surprised? Can you figure out why this is [...]

The Shannon number, named after Claude Shannon, is an estimated lower bound on the game-tree complexity of chess of 10120, based on about 103 initial moves for White and Black and a typical game [...]

Mathematicians gossip too. Part of the letter John Herschel wrote to Charles Babbage contains a little puzzle no one figured out:

Try this. With 3 straight lines, construct 9 non-overlapping triangles on an alphabet M. This appears in The Simpsons’s 26th season finale “Mathlete’s Feat”! Can you do [...]

We see objects all the time and our brains decode the 3D shapes, but how do computers model these shapes and why break it all down to triangles?

So you still think prime numbers are random? Take a look at this really cool project, it kinda reminds me of the sieve of Eratosthenes: El Patrón de los Números Primos: Prime Number Patterns [...]

Carlo Séquin on his search for the elusive “fourth type of Klein bottle”. So what’s a Klein bottle? In mathematics, the Klein bottle is an example of a non-orientable surface; [...]

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