**: Scientists from Technion — Israel Institute of Technology have developed a concept they have named the**

*Context***, after the Indian mathematician.**

*Ramanujan Machine*

*What is it?***, and performs a very unconventional function.**

*It is not really a machine but an algorithm*

*What it does?*
The Ramanujan machine is more of a concept than an
actual machine—

**—these are defined as fractions of infinite length where the denominator is a certain quantity plus a fraction, where a latter fraction has a similar denominator, etc.)***it exists as a network of computers running algorithms dedicated to finding conjectures about fundamental constants in the form of continued fractions***(in the form of mathematical formulas) that humans can analyze, and hopefully prove to be true mathematically.**

*The purpose of the machine is to come up with conjectures*

*Why Ramanujan?*
The algorithm reflects the way Srinivasa Ramanujan
worked during his brief life (1887-1920). With very little formal training, he
engaged with the most celebrated mathematicians of the time, particularly
during his stay in England (1914-19), where he eventually became a

**.***Fellow of the Royal Society and earned a research degree from Cambridge*
Throughout his life,

**— and it was usually left to formally trained mathematicians to prove these.***Ramanujan came up with novel equations and identities —including equations leading to the value of pi*

*What’s the point?***are a major step in the process of making new discoveries in any branch of science, particularly mathematics. Equations defining the fundamental mathematical constants, including pi, are invariably elegant. New conjectures in mathematics, however, have been scarce and sporadic, the researchers note in their paper, which is currently on a pre-print server. The idea is to enhance and accelerate the process of discovery.**

*Conjectures*

*How good is it?*
The paper gives examples for previously unknown
equations produced by the algorithm, including for values of the constants pi
and e. The Ramanujan Machine proposed these conjecture formulas by matching
numerical values, without providing proofs.

**. The question is, therefore, whether the series will fail after a point. The researchers feel this is unlikely, because they tested hundreds of digits.***It has to be remembered, however, that these are infinite series, and a human can only enter a finite number of terms to test the value of the series*
Until proven, it remains a conjecture. By the same
token, until proven wrong, a conjecture remains one. It is quite possible that
the algorithm will come up with conjectures that may take years to prove.

Sources: Indian Express.

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