Math.
In honor of mathematician Ramanujan, take a look at this beauty. He said his exotic-looking formulas came to him in dreams and also credited his insights to his family goddess, Namagiri Thayar.
Ever wondered how to calculate the shortest distance between two points on Earth? Here enters the Haversine Formula!
The Haversine formula calculates the shortest distance between two points on a sphere, like Earth, using their latitudes and longitudes. It's useful in navigation and GIS because it efficiently accounts for the Earth's curvature.
Frullani's integral is named after the Italian mathematician Giulio Frullani, who introduced it in the early 19th century. This work laid the foundation for the identity involving the integral of the difference quotient over an infinite interval.
An open problem in complex analysis:
Let f ∈ ℂ[x] be a polynomial of degree ≥2. Let z ∈ ℂ. Must there exist a critical point w of f such that
|(f(z)-f(w))/(z-w)| ≤ |f'(z)|?
Interpreting the natural logarithm of a positive number as the area under the graph of y=1/x over an interval leads to a demonstration of Napier's inequality.