skysight-inc/HackerNews huggingface dataset:
One way to compare proofs is to consider whether they belong to the same "level" or not. Consider by analogy whether a particular Turing machine halts. You can look at the sequence of configurations of the Turing machine at each step. Since the evolution of the machine's configuration is deterministic, any configuration along a "halting path" ends up in the same final configuration (i.e., the first configuration in a halting state).

But that's too difficult in some cases. Most of the Goodstein sequences reach extraordinarily high values before coming back down. How can we prove they all eventually reach 0? Even at small values of n, the sequence length of G(n) requires something on the order of the Ackermann function to specify bounds. We can't inspect these sequences directly to prove whether they reach 0. Instead we create a "parallel" sequence to a Goodstein sequence. Then we prove there exists an algorithm that maps from each item in the parallel sequence to an item in the Goodstein sequence such that both sequences are well-ordered and decreasing. If the parallel sequence reaches 0, then so does the Goodstein sequence. You could think of this as one Turing machine computing the configurations of another Turing machine or perhaps one branch of a tree "cross-predicting" the items along another branch. You aren't just following the branch to its end. In this sense, the proof occurs at a higher "level".

This concept is known as ordinal analysis and one can consider the proof-theoretic ordinal of any theory T. If T_1 and T_2 both prove a specific theorem and have the same proof-theoretic ordinal, you could consider the two proofs to occur on the same "level". Interestingly, Peano Arithmetic can prove that any specific Goodstein sequence reaches 0 but not that all Goodstein sequences reach 0—this requires a more powerful formal system. So if you prove a specific sequence reaches 0 using the more powerful system, I would say that's a fundamentally different proof.
M-series Macs require a functioning internal drive in order to boot off external storage: https://tidbits.com/2021/05/27/an-m1-mac-cant-boot-from-an-e...
For the longest time you could get away with this in cmd:

> dir c:\progra~1

So if forcing people to handle spaces was the goal, it took a long time to force it.
On SteamDeck Geforce Now is limited to 1080p, due to NVIDIA being a tiny indie company with no resources to make a native client.
>> U.S. numerical weather prediction (NWP), which uses computer simulation to predict future weather, should be the best in the world.

The author makes an important point, on a subject that keep getting more important due to climate change, but appeal to blind nationalism doesn't work in his favor.

It's not so much a bias a willful blindness at this point. I have to tolerate it coming from politicians, but it is a different story when the author present himself as a serious scientist.

Yes, the U.S. could be the best at meteorology. they could be the best at anything, with their means. But not at everything. The U.S. are the best at military spending, and everything else is at best in second place.
I think I’d miss my USB-A ports if I switched my Mac Studio for this. Apart from that, it looks pretty good. Not really sure if it’s worth saving a couple of hundred when you spec it up to par with an M4 Max Mac Studio when that comes out though. It’s the same price as the base M2 Max Mac Studio when you upgrade the memory and SoC.
Remember your history for one. Most boards at the time were small volunteer operations or side-jobs for an existing business. They weren't even revenue neutral, let alone positive. Getting another moderator depended upon a friend with free time on their hands who hung around there anyway. You have been downright spoiled by multimillion dollar AI backed moderation systems combined with large casts of minimum wage moderators. And you still think it is never good enough.

Your blatant ignorance of history shines further. Lazy moderation was the starting point. The courts fucked things up as they wont to do by making lazy moderation the only way to protect yourself from liability. There was no goddamned way that they could keep up instantly with all of the posts. Section 230 was basically the only constitutional section of a censorship bill and was designed to specifically 'allow moderation' instead of opposed to 'lazy moderator'. Not having Section 230 means lazy moderation only.

God, people's opinions on Section 230 have been so poisoned by propaganda from absolutely morons. The level of knowledge of how moderation works has gone backwards!
You're right. MRR is a better metric. Gotten great MRR via Cursor too.
Sounds very interesting. So I’m interested in learning more about the environments goals and focus. Could you tell me more about the type of educational content you envision prioritizing and the audience it’s meant to serve? As well, I’d love to understand how artificial intelligence will specifically support users within this educational environment. Give a use case? How will the platform bridge the gap between education and the labor markets?

Are there goals for partnerships with particular companies or industries to support this? Oh and I’m also curious if the platform or whatever will focus on developing skills for specific professions or if it has a broader educational scope.
Some states also let you not-vote in a primary based on that information so you can register independent to vote in your choice of primaries.

It's also not the greatest piece of information as evidenced in 2016 where Trump under-performed compared to other Republican positions (pg 6 vs pg 10 [1]). Like a party registration of Republican may likely mean you voted for their candidates but that's all it means, "likely". Empirically, people do not always vote their party registration (nevermind even vote).

But I do find it annoying how trivially the state seems to give away all of your information that people are ok with using as authentication ... Or just to send you a ton of text messages.

[1]: https://www.fec.gov/resources/cms-content/documents/federale...
Nord and Bert was the one game I couldn't complete, even with hints.
even Cliff himself (somewhat right leaning in today's American political environment) did not go so far in his blog. Cliff often speaks very highly of the European weather forecasts, and in his blog post it seems pretty clear that he is using it as the model for most of the suggestions.
1) SPAMmers can be quite dim - if they were smarter many of them would be doing more useful and more profitable things.

2) I think the dynamic auto-kill seems to be working the way that it is intended to.

3) The current rather prolific idiot may be trying to probe for weaknesses, but is burning rather a lot of sockpuppet accounts and not being smart about the probes... See (1).
>"Open AI CFO".

While i don't want to say completely ignore what she says based on her postion, the fact that she is the Chief "Financial" adviser should atleast raise a few red flags when considering her words on the matter.

[PS:Why does your comment feel like an SEO article? That hastag feels so random?]
I think a free project that’s someone’s passion is a better long term fit than $5 app that eventually gets monetized by adidas or something.
Some proofs that aren't "essentially the same":

1. Prove that the interior angles of a triangle sum to 180 degrees.

First proof: draw a line parallel to one of the triangle's sides passing through its opposite vertex. There are three angles on one side of this line, and they obviously add to 180 degrees because it's a line. One of the three angles is directly one of the triangle's interior angles; the other two can be shown to be equal to the triangle's other two interior angles. (Try drawing it out.)

Second proof: start at one side of the triangle and walk around it. By the time you return to where you started, you must have turned 360 degrees. Thus the sum of the exterior angles is 360 degrees. Each interior angle is 180 minus the corresponding exterior angle, and there are three of them, so calling the interior angles A, B, C and the exterior angles A', B', C' we have A'+B'+C' = 360 implies (180-A) + (180-B) + (180-C) = 360 implies 540 - A - B - C = 360 implies 180 = A + B + C.

2. Prove that the sum of the first N numbers is N(N+1)/2.

First proof: sum the first and last number to get 1 + N, then the second and second-to-last to get 2 + (N-1) = 1 + N, repeating until you get to the middle. There are N/2 such pairs, giving a total of (1 + N)N/2. (This assumed that there were an even number of terms; consider the odd case too.)

Second proof: proceed by induction. For the base case, it's true for N=1 because 1*2/2 = 1. For the inductive case, suppose it's true for N-1. Then 1 + 2 + ... + N-1 + N = (1 + 2 + ... + N-1) + N = N(N-1)/2 + N = N(N-1)/2 + 2N/2 = N(N+1)/2.
Have you considered translating formulae to MathML for rendering?
FastAPI is a nobrainer choice of webserver backend for a python API server in 2024. If you’re not aware of that, then you really shouldn’t be commenting on this topic.
It’s not the size of the NVMe enclosure that makes it clunky. It’s that you now have an extra dongle hanging off the back of your Mac and cluttering up the desk.

There is a reason for the popularity of those enclosure/hub combos that have the same footprint and color as the Mini.
My app idea is to tell guests to "Connect to this SSID to knock", and have a way of scanning for new MACs on the network and notifying the door owner... /s

For security of course it'll be an SSID that doesn't connect to anything else, because hey, we care about security. ;-)

Another app is: "connect to this SSID and ping6 2345:0425:2CA1:0000:0000:0567:5673:23b5 to ring doorbell!".
this seems like a very mean spirited take on accessibility?
Sounds like they've just done planned obsolescence faster to their lower paying customers.
> I just haven't made the observation that most people have switched to Cursor full-time

I noted that same thing in my initial comment.
Rock paper scissors for it
I would say the skeleton is a property of the body. I wouldn't say I'm my skeleton - I'm just a flesh automaton animated by neurotransmitters...
I've gotten a few over the years and they've been indistinguishable from new.
I have fond memories of the Sega Pico Busytown game, played that plenty as a little kid:
https://www.youtube.com/watch?v=bm55P3ziI84
I've been using external drives for years and would love to get rid of them now internal ones of a decent size are available

It's always been a slightly clunky experience - having to eject them before I can undock my laptop, or the way they never go to sleep (some issue with CalDigit TB dock...?)

I used to think of them as a backup, but since moving house a couple of years ago my internet is fast enough to make Backblaze viable

Next time I upgrade I'm just going to have less boxes on the desk, less power-drawing crap plugged in all the time

I hate the price of 8TB storage on these though :(
Why, specifically?

I'm convinced we will need to be careful with symbolic links related to new line characters in filenames, but I'm curious of which specific aspect you had in mind.
I read the first few paragraphs and will set it aside for later, but it has always been fascinating to me how writing styles and English language usage varies over the years. I could immediately tell this was an “older” publication based on phrasing and word order, but it still flows nicely and conveys information elegantly (which we somewhat lack in modern writing). Go back 100 years and it’s even more pronounced but still very similar to modern English,
200 years and it’s still quite familiar, but 300 years you’re getting dangerously close to King James/Shakespeare, 400 years it’s almost a different language, etc. I sometimes like to back as far as I can until something becomes completely unintelligible.
If it's waterproof and you get the water on the inside, it should in fact hold water
120Gb/s ！
If we truly want to achieve zero emissions globally we need to take seriously all sources of CO2 emissions, the full carbon footprint of companies. Not just energy use.

It's not entirely unreasonable to ask companies to be responsible for carbon capture or in the short term an offset for their employees breathing on the clock, as funny as that sounds.

We need to take all sources of carbon emissions seriously. This shouldn't be downvoted.
I think this could be solved by asking the last name of the person/family you want to ring the bell for, once the QR code URL is loaded.
This doesn't solve the issue of: what if multiple appartements want to use this solution as a doorbell? Then you'd have to add the name on the QR code and it's back to square one.
And once all the Wayland jank is fixed it's going to be just as "crusty" and "full of hacks" and "unmaintainable" as X is now and the cycle is going to repeat again :|
> It is not wrong to treat algorithms as valid proofs.

I think that's what PP meant, i.e. if you want to differentiate between sorting algorithms in terms of efficiency, you somehow should encode this demand into the types (specification).
dotnet new <the_template>
Besides Amber, I found Jack of Shadows to be an accessible road into Zelazny.
These are not migrations in the traditional sense. I was referring to DDL. Nevertheless:

> "Update the values in column X with the contents of file Y that exists in Amazon S3"

You actually can do that in SQL, assuming it’s hosted on AWS (or for Postgres, you’ve installed the correct extension). It would be a bit convoluted (I think to handle the UPDATE, you’d first dump from S3 into a temp table, then update from that), but it would work.

> A SQL query "DELETE FROM users" might be correct, but if you meant for it to be "DELETE FROM users WHERE id IN (...)" it's going to cause problems.

If someone doesn’t notice this issue in SQL, they’re not going to notice it in an ORM, either. It’s also possible (and a good idea) to enforce predicates for DELETE at a server configuration level, such that the DB will refuse to execute them. And really, if you actually want to delete everything in a table, you should be using TRUNCATE anyway.
> Salesforce is basically a pseudo ERP at this point.

Wait, is that not what Salesforce is? I thought it was supposed to be a more modern SAP alternative with "cloudy" vibes.
You'd have to find some way to make network providers care. Especially 'tier 1' transit providers and other networks of unusual size.

It's much easier to work on reducing reflection multipliers though, because you can scan (ipv4 anyway) for reflection vectors and yell at people that will respond with 10x the input bytes.
> "Do one thing and do it well"?

Did you miss the do it well part? Nearly every unix tool does more than one thing, the alternative would be a usability nightmare.

* grep, which primarily does pattern matching has dozens of file traversal related flags that could be handled by calling it from find

* find, a tool supposed to find files for some reason has dozens of flags related to executing applications which could probably be done by using xargs

* did you know that xargs can do pattern matching and replacement on its input string? there are probably dozens of unix tools that are specialized for that
I've worked in Ecommerce, but SF was not a concern, especially compared to how big a deal Shopify was for us. Now In EdTech we need to interface with SF for the bigger clients and it is a wild, painful ride. They have their own tooling/language/architecture for EVERYTHING. Oh, and good luck doing SF development locally. To (mis)quote Homer Simpson, there's the right way, the wrong way and the Salesforce way - which is the wrong way but way slower and more complex.
Obviously no higher ups at Apple ever need to charge their own mouse.
This is, of course, a non issue as the resolution of the Steam Deck is 1280x800.

Edit: I am silly. Of course, people mean hooking it up to a bigger screen.
Just like all of us. Your spending is a pretty good measure of your impact on the climate.
Wow this is great! I think this is kind of the future of automation and "computer use" once LLMs become powerful enough.

Every task on the web can be reduced down to a series of backend calls, and the key is extracting out the minimal graph that can replicate that task.
That sounds a lot more like "automatic negative thoughts". I don't think it's considered a form of psychosis, even if arguably it's sort of similar (you're hearing a voice that isn't there telling you things that aren't real).
The editors's assumed readership is authors preparing for reproduction with full access to capabilities of a printing press:

> 75. SET IN SMALLER TYPE. Ordinarily, all prose extracts which will make three or more lines in the smaller type, and all poetry citations of two lines or more. An isolated prose quotation, even though its length would bring it under this rule, may properly be run into the text, if it bears an organic relation to the argument pre- sented. On the other hand, a quotation of one or two lines which is closely preceded or followed by longer extracts, set in smaller type, may likewise be reduced, as a matter of uniform appearance

This although the mimeograph (for copying pages from a typewriter) was already in use: https://en.m.wikipedia.org/wiki/Mimeograph
Advancing Multilingual AI with Gemma 2 and a $150K Challenge
Tiiny.host: The simplest way to host and share your work online
Airplay? Lunadisplay?
Yes, and depleting our dopamine.
There is no evidence, as far as I'm aware, that Samhaim was associated with the "veil between worlds being thin" prior to Christianization. The medieval Church was not allergic to rituals that involved the spirits of the dead. The belief that these practices are anti-Christian or pagan is a product of the Protestant Reformation.

The notion that the Church was acting in a deliberate way to co-opt certain festivals that it couldn't destroy gives it too much credit. Syncretism is often bottom up. And many of the practices that survive are tied to the human experience in ways that transcend any specific belief system, like the changing of the seasons and the agricultural cycle.

Also, treating paganism as some undifferentiated whole is ahistorical. Why do people talk about ancient Indo-European rituals that survive for millenia and then Christianity is the rupture? More likely, religious beliefs changed many times, and Samhain was itself a syncretic combination of a new belief system with pre-Samhain harvest festival practices.
There can be advantages to an external brick, but I see parent's comment mostly centered on having USB-C as input.

That gives a lot more options IMHO on how to handle power for this machine, including portability, even if it's supposed to be a desktop machine.

I thought the same for the minisforum machines which would be competitive to this, they have a 19V input that really should be USB-C at this point.
And not everyone carries a smartphone to scan QR code - read, elementary kids coming over every evening to play :)
I guess I should have specified a pdf of the 18th edition!
That's a foss tool though, elastic is a for profit company and might be willing to pay money to have it restored/might already be a paying GitHub customer.

And GitHub might have implemented something that let's them restore it after it wasn't possible before, as it's been 2 yrs since.

Lots of possibilities that might change the outcome if elastic is lucky
I'm wondering if it might actually be easier to install Asahi Linux (or some other distro) on Apple Silicon for gaming via Proton, until Game Porting Toolkit is adopted more.
Yes they do. We got to work on the flow a bit to make it obvious tho. Thank you for the compliment on the aesthetic.
How do you know that they made it up?
Robot Dog and Leafblower = Labor-Free Yardwork
> I can get double that for half the price with a Gen 4 NVMe drive

It's worse than that -- 4TB gen 4 drives can be had for well under $300, sometimes $225-250, and that's for buying a drive outright, not "trading up" from a 256GB device. I think it'd be more accurate to say that you can get double the capacity for a _quarter_ of the price.
Are you saying their governance is worse than Wordpress.org amid this giant fiasco?

Mozilla Corporation is the one receiving the hundreds of millions of dollars from Google that funds almost all the the development of the Firefox browser. Without it, Mozilla would be a tiny fraction of what it is now and FF would be dead in the water.

This is entirely orthogonal from the community. It's an IRS requirement.
MoneyGram replaces CEO weeks after customer data breach
I'd like to think this has something to do with the "consequences of my actions", but pretty sure there's hidden factors going on behind the scenes, and this might have been the icing on the top to get the CEO fired.
Theorem: there are 500,000 odd integers between zero and a million.

Proof #1: there ar no odd integers between zero and 1 (inclusive), 1 is odd so there is 1 odd integer between zero and 2, 2 is even so there is 1 odd integer between zero and 3, 3 is odd so there are 2 odd integers between zero and 4, …, 999,998 is even so there are 499,999 odd integers between zero and 999,999, 999,999 is odd so there are 500,000 odd integers between zero and 1,000,000. QED.

Proof #2: this is a specific case of “there are n odd integers between zero and 2n (exclusive)”. (proof of the more general theorem). Picking n to be 500,000, the theorem follows.

I think most people would call those two proofs different.
yeah, the description of the product itself makes very little sense, let alone on a business level.

but we learn by doing and we learn only by failing, so this will look great on their resumes for future jobs and give them priceless knowledge for their future startups.

although i would argue that this american degeneration of business, where every paper company is a startup, and every startup needs investors to make the product or service, must die, so that we can have actually viable products and not waste developer hours on nonsense.
The Pro model seems to have 273Gb/s as per https://www.apple.com/mac-mini/specs/
This is also the same process that the Conservative parties in the UK ans Canada have been carrying out with their respective healthcare systems, much to the suffering of their citizens.
Most professionals use only a handful of software and don't really care about the OS other than what the OS should do (file management, connecting to the internet, launching software,...). Apple and Microsoft insists on doing other stuff that impedes you while not allowing you to do basic stuff you want. The main issue with Linux is hardware support (which no one other than the manufactures can solve properly) and professional development (The distributions are great, but monolithic development like FreeBSD would have been better).

Linux is best because it lets you use your computer for whatever workflow you need.
This is the fundamental question most of us seem to have.

On the one hand, logic does seem to dictate supply/demand of the profession will lower salaries. Also no one really cares how code was written or if it's pretty.

On the other hand, these tools have only seemed to increase our value so far. Someone who knows how to code with AI is now 1000x more valuable than someone who doesn't know how to code.

You still need to know how to code to be able to contribute. How long that remains the case is the question. You could be right
As an end user, I lament the devaluation of Windows and the general drive to cloud-based solutions. It has made everything worse.