This Machine Is Finally Doing What Ramanujan Dreamed Of!
Scientists have developed an algorithm called the ‘Ramanujan Machine.’ This artificially intelligent mathematician will find patterns hidden in numbers. There’s a reason why it’s named after the Indian mathematician Srinivasa Ramanujan. In his short life of 32 years, Ramanujan came up with numerous novel equations and identities. Including the equation that converges to the value of pi in just a single term. He left those equations to be formally solved by trained mathematicians in the future.
This AI machine is doing a somewhat similar thing, and so is its name. The working of the Ramanujan machine is simple to understand. Conventionally, we pose a mathematical problem to the computer in the form of equations. The computer then performs a set of algorithms to provide us the solution to that particular problem.
However, the Ramanujan machine works in the opposite direction. It’s a unique set of algorithms that operate on a constant solution as an input. These constant solutions can be anything as fundamental as pi. After it receives an input, the algorithms scan a large number of potential equations in search of patterns that might indicate the existence of formulas to express such a constant.Initially, the programs scan a limited number of digits and then record any matches. Then, they expand upon those to see if the patterns repeat further. The process continues till a suitable pattern is attained. When a promising pattern appears, The conjecture is then made available for an attempt at proof. Till now, More than 100 intriguing conjectures have been generated. Out of those generated, several dozen have already been proved. The algorithm developers have also set up a website, RamanujanMachine.com, To share the conjectures that get generated. These conjectures are available for anyone willing to attempt proofs to prove them.