What is Ramanujan Machine?

Ramanujan Machine

This system makes hypothetical calculations of basic constants used in fields such as biology, physics, chemistry, abstract mathematics. A group of scientists from the Israeli Institute of Technology has developed a system that produces assumptions about basic mathematical constants. Named after the Indian mathematician Sirinivasa Ramanujan, the article of this algorithm was uploaded to arXiv servers. In addition, a website has been created for those who want to voluntarily share the processing power of their computer on this network or to develop proofs or codes for new mathematical structures. ramanujan The Ramanujan machine is named after Sirinivasa Ramanujan (1887-1920), a self-taught mathematician. Ramanujan, a well-known figure at the University of Cambridge, made instinctive inferences, contrary to traditional methods of proof, allowing other mathematicians to prove them. So much so that I'm not going to let There were even superstitions that some formulas were communicated to him by dream. In the new approach, researchers aim to do so over the internet with the processing power of millions of computers.

Math Algorithm

The Ramanujan machine is actually just algorithms running on a computer network. These algorithms aim to convert basic constants into mathematical formulas that one can analyze while expressing an infinite number of consecutive fractions. The Ramanujan machine project has already produced about a dozen assumptions. ramanujan Speaking of Ramanujan machines, of course, not if we don't talk about our character. Ramanujan is one of the closest people to eternity in this finite life. However, let's not forget that most professors who left their mark on the world had no account of the mistakes they made in their time. But they all paid off when the time came. Ramanujan's entry into the world of mathematics was prompted by questions he submitted to the Journal of the Mathematical Society in India. They've asked him enough in time to see if you're a genius. The room responded by showing his top and chalk-dusted elbows. Ramanujan's first mistake in this process relates to the suggestion made on the Bernoulli numbers in an article published in 1911.Each Bernoulli number is a rational number written as a/b. And finding these numbers is one of the important and difficult tasks of this theory. At some point in this article (B/n) he says that after simplifying the rational number, it can be seen that his share is always a prime number. But unfortunately, if he had divided the number of 20 Bernoulli into 20 and looked at his share, he would have realized that his rhetoric was not true. ramanujan Unfortunately, these mistakes were not always easy to find. Bernoulli did research on a lot of subjects after his numbers. One of them is the problem of finding out how many prime numbers there are up to a given number. There is still no specific formula for this issue. Ramanujan also investigated the accuracy of a formula known as li integrali that gives prime numbers. As a result, he always concluded that the number given when he went this way would always be somewhat higher than the prime number sought. It was then, sadly, debunked by one of Cambridge's star mathematicians. But he didn't give up. He kept doing a lot of work. He came up with a lot of formulas because he wanted to make his name in the world of professional mathematics. There was no account of the letters he sent with full self-belief, but no one returned positively to any of them until that famous 1913 letter to Hardy. Hardy and Littlewood could look at the extraordinary formulas in this letter and make it look like they were them. But they appreciated Ramanujan's creativity, his genius, called him to England and collaborated with him. Ramanujan sent his letter to the right address this time. Well, how can such a quality mathematician make so many mistakes? That's because of the training. Ramanujan, who only cared about certain courses, was thrown out of the university. And unfortunately, he was deprived of a quality education. But who knows, one day this guy's going to come up with some crazy formulas. If Ramanujan, who was expelled from the university, was doing this, I wonder what would have happened if he had graduated. Could it bring high-level benefits for education, for the future of the world?