csunoser
This is roughly same as saying: "If you rewrite 938933556 as a binary number / usize, it will need 30 bits".
Sanity check: 1101111111|0110111111|0100110100 (| delimits every 10 bigits).
> Since the file is 128 bits long, one would expect this place to be around the 2*128th bit.
This statement is a bit more subtle. As a first ord approximation, we can see pi sort of as a RNG.
If we write pi (ignore the decimal point), as a binary number, we get: 11011001111111011110010101011110001010101111101101110001001100001...
You can... kind of squint and pretend this is a random sequence of 1s and 0s.
Now, if you had a file that is 128 bits (so lots of intermingling 0s and 1s), and each next digit of pi is effectively a coin flip. Pretend 1s are heads, and 0s are tails. You basically have to get the exact 128 consecutive coin flips of the same result as your file to get your file back.
Imagine now, PI not as a number, but a sequence of experiments of flipping the coin 128 times.
- (11011..01000)(10000...00100)....
- ^attempt 1 ^attempt 2
You have to try, on expectation, quite a few times to win this game! Now, you could easily get lucky for sure. But on average, your chance of winning per attempt is roughly 0.5^128! So, how many times do you have to try to win this game? Something like 2^128 times - and you have to consider that each attempt uses 128 bits as well. So more like 2^135. But you don't have to start fresh in each attempt, you can see it as like this: - 11011................00100...
- ( 128 flips )
- ( another 128 )
- ( )
- ... so on and so on
That's where the 2^128 number came from.[1]: We train and run Claude on a range of AI hardware—AWS Trainium, Google TPUs - April 6th, Anthropic on Google and Broadcom partnership [2]: "[Apple foundation model]... builds on top of JAX and XLA, and allows us to train the models with high efficiency and scalability on various training hardware and cloud platforms, including TPUs and both cloud and on-premise GPUs" - Apple in 2024
You could reasonably say that "A majority of frontier labs uses TPU to train and serve their model."
There are many good criticisms against data center. And yet, the water issue always comes up first. Must we spew false/untruthhood just so our political message is catchy? I suppose yes - in times of war/politics, the laws/truths are silent. But it doesn't have to be so here.
I did use candle for wasm based inference for teaching purposes - that was reasonably painless and pretty nice.
I do think hand rolling your own thing is fraught. But it is very confusing to equate one mother’s complaint to “they have been hacked”.
PS: The people who made their own s3 rans a baby monitor company. News article is about a mother reporting hearing a weird voice from the baby monitour.
What do you think is the chance that claude code wrote the readme?
Emojis are not the core problem. Mindlessly letting claude do the work and then farm karma on HN is.
Instead, it is replaced with a red error box saying: [ Unable to render expression. ]
I wonder if there is an artificial limit for the amount of latex expression that can rendered per page.
But yeah, this should have been further up.
> We’re also exploring how to bring long context to other Claude products. - Anthropic
That is, any other product that is not Anthropic API tier 4 or Amazon bedrock.
I am very confused why this means Anthropic is bleeding out. The most important thing is that Anthropic has a thing people love. And can raise the price just fine.
Show HN: Dumb STT/diction script for sway-Linux
https://github.com/winston-bosan/steno
superwhisper is not on linux. And I didn't want to send my voice to Sam Altman. This should give you a minimal voice to speech pipeline if you use sway and have an nvidia gpu handy.
Show HN: Whatsbuilding – A search engine for real estate developments
Hi HN, I built whatsbuilding to better track and understand real estate development in Austin and other cities in North America.Having previously worked in real estate development, I found the public data scattered and wanted an easier way to see not just what was being proposed, but also get some context around timelines and how projects compared - what makes one project take 200 days less...