Uses photons!
The key experiment/phenomena that sets the basis for photonic quantum computing is the two photon interference experiment.
The physical representation of the information encoding is very easy to understand:
- input: we choose to put or not photons into certain wires or no
- interaction: two wires pass very nearby at some point, and photons travelling on either of them can jump to the other one and interact with the other photons
- output: the probabilities that photos photons will go out through one wire or another
Some of the earlier computers of the 20th centure were analog computers, not digital.
At some point analog died however, and "computer" basically by default started meaning just "digital computer".
As of the 2010's and forward, with the limit of Moore's law and the rise of machine learning, people have started looking again into analog computing as a possile way forward. A key insight is that huge floating point precision is not that crucial in many deep learning applications, e.g. many new digital designs have tried 16-bit floating point as opposed to the more traditional 32-bit minium. Some papers are even looking into 8-bit: dl.acm.org/doi/10.5555/3327757.3327866
As an example, the Lightmatter company was trying to implement silicon photonics-based matrix multiplication.
A general intuition behind this type of development is that the human brain, the holy grail of machine learning, is itself an analog computer.
Bibliography:Monday, January 29, 2024
- bitcoin.stackexchange.com/questions/5883/is-there-a-listing-of-strange-or-unusual-scripts-found-in-transactions/105392#105392
- bitcoin.stackexchange.com/questions/547/useful-alternative-bitcoin-transaction-scripts
- bitcoin.stackexchange.com/questions/35956/non-standard-tx-with-obscure-op-codes-examples/36037#36037 notably provides the amazing www.quantabytes.com/articles/a-survey-of-bitcoin-transaction-types
Official Bitcoin domain registered by Satoshi Nakamoto.
Registration: 2008-08-18 by www.namecheap.com, an American company. But using a privacy oriented registrar: bitcoin.stackexchange.com/questions/89532/how-did-nakamoto-untraceably-pay-for-registering-bitcoin-org It is unknown how he could have paid anonymously, so it seems likely that the true identity could be obtained by law enforcement if needed.
First archive 2009-01-31: web.archive.org/web/20090131115053/http://bitcoin.org/ Also from the archive history web.archive.org/web/20100701000000*/bitcoin.org, things really started picking up on July 2010. This is almost certainly due to the opening of
These are commands that e.g. the Bitcoin CLI client can make to the server.
The commands can be listed with:and full help with:
bitcoin-core.cli help
bitcoin-core.cli help getrawtransaction
For example. to run the Bitcoin and then on another shell:
getrawtransaction
command, first in one shell we start bitcoind:bitcoin-core.daemon
bitcoin-core.cli getrawtransaction 75b431e0a8c4617ca8adefe593ba66aa30907742b6dc8772761bfe7edabd74b4 true
No open signup it seems. TODO CV of owner.
They are making a proof assistant to integrate into the website: github.com/bookofproofs/fpl/, reminds Ciro Santilli of website front-end for a mathematical formal proof system.
The size of a set.
For finite sizes, the definition is simple, and the intuitive name "size" matches well.
But for infinity, things are messier, e.g. the size of the real numbers is strictly larger than the size of the integers as shown by Cantor's diagonal argument, which is kind of what justifies a fancier word "cardinality" to distinguish it from the more normal word "size".
The key idea is to compare set sizes with bijections.
There are unlisted articles, also show them or only show them.