5 ms·
The Ramanujan Machine
- Y_Y 5y agoLooks cool, so cool that I'm certain Fabrice Bellard or John Conway probably did it already.
- lovebes 5y agoWhy can't this be a source to mine instead of hashes for cryptocurrency? Seems like it's more beneficial to science if a coin was built around it.
- deleted 5y ago[deleted]
- Taek 5y agoThe security properties of Proof of Work cryptocurrency are derived from the wastefulness. We want to be confident that everyone has the same cost when producing a block. If the problems being solved are useful, they are potentially more useful to some parties than others, meaning some parties may have a lower cost to attack the blockchain, because it was computation they needed to spend money on anyway, might as well attack a blockchain while you are at it. I can try to explain further if that's confusing.
- MathYouF 5y agoDoesn't this ignore the real world realities of economies of scale though with the physical materials being used? I'd enjoy a bit deeper explanation for this if you don't mind. :)
- mediocregopher 5y agoA key component of the hash algorithm used by blockchain is that difficulty can be adjusted, such that the algorithm ensures that the difficulty to mine the next block increases/decreases based on how long it took previous blocks to mine. In this way the network can attempt to maintain a predictable rate of blocks being mined as mining power fluctuates. So for this to be a good computation for a blockchain to use it would have to have a way to modify difficulty in a predictable way.
- MathYouF 5y agoThis is only a problem if you care about predictable rate of blocks being mined right? What reasons besides predictable inflation are there for desiring that property?
- positr0n 5y agoIt also has to make the networking part of Bitcoin fit within physics. From eyeballing the difficulty graph it looks like if you fixed the network difficulty in January 2010 then a new block would be mined every few picoseconds at the peak hash rate this year.
- mediocregopher 5y agoIn the case of a fork in the chain the network decides the winner based on which fork ends up being longer. If blocks are being mined too quickly then forks become more likely and the state of the chain is more volatile as the current "winner" keeps flipping around. Blocks being mined too slowly is a more obvious problem: less transaction throughput.
- gus_massa 5y agoPrevious discussion: https://news.ycombinator.com/item?id=20352252 https://news.ycombinator.com/item?id=20352252 (158 points | July 4, 2019 | 28 comments) But note that it just generate special cases of a well known formula. More details in "The Ramanujan Machine is all hype" https://www.galoisrepresentations.com/2019/07/17/the-ramanujan-machine-is-an-intellectual-fraud/ https://www.galoisrepresentations.com/2019/07/17/the-ramanuj... (HN discussion https://news.ycombinator.com/item?id=26144665 https://news.ycombinator.com/item?id=26144665 (40 points | 4 months ago | 16 comments))
- sahil50 5y agoWyler's derivation of the fine structure constant might be the accurate one, and what the Machine will churn out sooner or later. Resembles the Stefan Boltzmann constant in form and function.
- yarg 5y agoWhat subset of the reals can be constructed with this machine?
- sega_sai 5y agoI don't think professional mathematicians think highly of this https://www.galoisrepresentations.com/2019/07/07/en-passant-v/ https://www.galoisrepresentations.com/2019/07/07/en-passant-...
- inglor 5y agoYeah I’m not professional (I have a BSc in mathematics) and all this looks fairly introductory. Moreover there are lots of easy ways to calculate these constants like Pi (like taylor series) not even mentioning e can be easily calculated to whatever precision you need from its definition