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New A.I. Finds Hidden Patterns In Numbers
Live Science
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8/22/2023
A new artificially intelligent "Ramanujan Machine" can generate hundreds of new mathematical conjectures, which might lead to new math proofs and theorems.
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Tech
Transcript
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00:00
A new artificial intelligence-based computer program called the Ramanujan machine could
00:05
help reveal hidden relationships between numbers.
00:09
The machine, named after the iconic Indian mathematician Srinivasa Ramanujan, enables
00:15
the discovery of new mathematical propositions called conjectures that have a good chance
00:20
of being true.
00:21
The AI program scans a huge range of possible mathematical formulas, looking for patterns
00:27
that might hint at new formulas for mathematical constants.
00:33
Constants are numbers, like pi, that always have the same value and can be used across
00:38
multiple equations.
00:40
The Ramanujan machine has uncovered more than a hundred intriguing conjectures so far.
00:45
Some, like these two showing a way to express the constants e and pi, have been proved.
00:53
Most are still awaiting proof.
00:55
This conjecture has to do with the Riemann zeta function, evaluated at the number 3.
01:02
The Riemann zeta function is at the center of what is considered by many to be the biggest
01:06
unsolved problem in mathematics, the Riemann hypothesis, which offers a $1 million prize
01:14
for whoever solves it.
01:16
The algorithm's new conjectures are on RamanujanMachine.com, where anyone can take a stab at proving whether
01:23
they are true, and thus turning the conjectures into brand new mathematical theorems.
01:29
Thank you.
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