irrational numbers will always be out of reach for a finite set of dice. I think if you restrict the set to the rationals, you will still run into trouble because there's a finite number of dice and an infinite number of primes, so there will always be a big enough prime whose value you will be unable to get on the denominator. E.g. if you restrict to only a d2 and d3, you can't get a denominator of 5 for your probability. So add a d5. Now you can't get a denominator of 7, and so forth.
But all the primes would suffice especially as you've excluded 1 in the set. Otherwise, include a D1 and you're golden.
To be extra clear, if you have an infinite set of dice, one for each prime, then you can attain a given probability using a finite subset of those dice. If you allow for the use of infinite dice and infinite rolls, my intuition says you can get the whole interval but let's think about it.
It's true that every real can be expressed as a convergent sequence of rationals, and that between any two real numbers there is at least one rational number. You can use this to construct a sequence of rationals that approaches the real numbers we want in the interval, and because we have all the prime dice and I have (not rigorously) proved this is enough to get any rational, we can roll any probability in our sequence. So we can get as close as we like to the real number.
I've played briefly on Linux mint with no tweaks required, on whatever default proton version.
I'm not fine with it, only because we are still seeing offside calls so obviously against the spirit of the rules. I understand why it was offside but fuck me, 10 years ago the linesman does not make that call because there's no video to check. I also don't think the line was right, looked like they drew it in line with the defenders foot when his shoulder and hand might've put us onside.
It's calling them prostitutes that is incorrect. The kids are not sex workers.
Fwiw good quality canned tomatoes can be miles better than buying "fresh" tomatoes for the 8+ months of the year that they aren't actually in season (depending where you live in the world). Growers still grow them, but they're less sweet and less juicy. Canned tomatoes also break down way better for sauces. I agree with your overall point, and almost all of my fruit and veg come from farmers markets, but tomatoes generally don't for both cost and quality purposes.
Proton DB is the place to go. But I don't check 99% of games I play, unless it's going to be an expensive purchase and I want to check before I buy. I also don't bother with people's suggested tweaks on proton db unless I actually personally experience issues. The only game I've had to tweak so far has been cyberpunk 2077.
Edit: added context, I'm on 2 monitors and one of them is an ultrawide. Never had any issues that aren't similar to issues I've experienced on Windows in the past.
Are you buying collector items?
Conversely, taking a stance on that single issue would rule her out of doing any other aspect of her job. You're right, it's important, but more can be achieved by going along with it. If anything, these transphobic fucks might get a reality check when they realise they're sharing a bathroom with a fucking woman.
1, the comic is a joke, and 2, the author obviously doesn't believe the technology will exist imminently since the premise is what Elon has promised it will do, not the actual science and what is currently possible.
Stop giving the benefit of the doubt to somebody who has repeatedly and demonstrably lied about the capabilities of things they have a financial interest in. He has more money than God, in part in thanks to his deceit, he really doesn't need your help.
Seriously. I downloaded Lemmy connect when Reddit is fun shut down and have used it exactly the same. Setting up an account was the same. The UI is so similar I can't remember the difference. People choose to get in the weeds with the platform and don't realise that it isn't necessary at all.
Apple made 4 billion in 2023 from selling advertisements on their devices. Sure, it's only ~1% of Google's ad business buts still technically billions
Even though I hate car centric infrastructure, watching a new highway or bypass spring up out of nothing is an incredible testament to our ability to work together to achieve great things
I did a comparative study on 10 things I hate about you and taming of the shrew for a term in school. In fact, a lot of our Shakespeare was dressed up as comparative studies which did make it interesting.
Your comment is weirdly aggressive and is entirely predicated on the idea that we can't have any economic system other than the one where the ownership class and the working class are distinct.
The whole point of workers owning the means of production is that they will take on the risk as well as the reward. The belief in that idea conjoins with the belief that it shouldn't be possible to profit from the labour of others purely because you have money to start with. It's conjunctive with the belief that the investor class is surplus to requirements.
An argument against this is, how would we maintain productivity if no wealthy people were investing in new businesses or in reviving dying ones? There are entire industries that exist only to feed into this machine. This system, that claims to be only motivated by increasing productivity to increase profits, is only putting the brakes on human advancement and betterment of our quality of life. Advertising is, by many measures, the largest industry in the world. So much talent and effort is exerted on how best to sell people a product they don't need, an art form mostly now perfected to convince us we can't live without these things, all in the name of profit.
I'm not well read enough to say that I definitely believe that the world would be better if we enforced worker co-ops. There's so many other ways things could go wrong. I do think you need to open your mind to the fact that the systems we have in place exist only due to opportunism of those who came before us.
I don't think the 2% figure includes the steam deck, but I might be wrong
After the last two seasons, anyone judging the club based on expectations could only be happy with clearly winning the league. It's the issue with coming second. We have to remember that when the margins are so fine, it does not take much to feel like we've fallen far even if it's not true or there are legitimate reasons. We have had the misfortune of suffering injuries to some of our most important players this year and to assume we can get away with that is just naive.
Every word from Mikel's post-Sheffield Utd presser
The manager on the performance, injuries, momentum and Partey
Billy Carpenter | Introducing BEAST
Per your request, I spent the down week creating another bullshit new metric to sift through a few hundred potential striker targets, ranking the best possible summer options for Arsenal
Billy Carpenter: What ails Arsenal
An enormous excavation after a deflating end to the year, looking at tactical evolutions, attacking dynamics, luck/variance, the wingers, both boxes, and what must change to reach the heights we seek
David Ornstein’s January transfer window guide: The plans for the Premier League’s top teams
Want to know what the top Premier League clubs are planning for the January window? This breaks it down
Pretty useless article that says basically what we already know, but some interesting tidbits from other clubs. Here's the Arsenal bit: >Recent years show Arsenal are not afraid of doing business in January and they will be alert again — depending on usual considerations such as injuries, profitability and sustainability rules (PSR) and opportunities in the window. > >Last summer’s spending meant the signing of David Raya from Brentford needed to be done on loan with an option to buy (£27million; $34.2m), which shows Arsenal were in a tight spot around PSR. Once adequate finances are available, the Raya deal must be turned permanent. > >Let’s see whether those finances are generated from existing resources or require player trading. Should it be the former, departures could presumably be used to enhance the budget. Should it be the latter, there is unlikely to be a huge amount of money at manager Mikel Arteta’s disposal. > >The most obvious candidate to exit might be Aaron Ramsdale. Any goalkeeper in his position will want to regular football, especially given the desire to get into England’s Euro 2024 squad, though there have been no significant movements yet — nor are any certain to materialise. > >While plenty of speculation has focused on Arsenal potentially recruiting a striker, that is more plausible in the summer. Nothing has developed regarding Ivan Toney and it would take a massive bid to change that, particularly with Bryan Mbeumo out for around three months with an ankle injury. > >Even if Victor Osimhen, Benjamin Sesko and Evan Ferguson are among those admired by Arsenal (and many other clubs), it is not anticipated they will land at the Emirates Stadium soon. > >Activity in midfield probably relies on somebody leaving or the fitness situation deteriorating. For both reasons, we should keep an eye on Thomas Partey and Jorginho — but it is more realistic to imagine their futures being decided after the campaign has ended. > >Arsenal explored the idea of Martin Zubimendi of Real Sociedad 12 months ago and interest remains strong. However, multiple factors would have to combine to make it happen. Despite his contract including a release clause, the Spaniard would have to agree to go; that has been a stumbling block in the past and may prove a bigger problem given Real Sociedad are in the Champions League round of 16. > >Cover at the back offers another dilemma. The absences of Jurrien Timber and Takehiro Tomiyasu at full-back — where Partey has also featured — arguably makes defence the area worthiest of strengthening but when everyone is fit, Arsenal are well stocked. So no guarantees but it would not be a total shock if there was a reinforcement here, perhaps on a short-term basis.
Daily Discussion - 27th December 2023
I might be jumping the gun but I think lemmy.world was having issues when the daily thread would usually go up, so I'm posting in it's absence. Apologies in advance if I'm too quick but my poor memory tells me it's about 2 hours late now.
Aston Villa vs Arsenal Match Thread World Cloud
No time today to play around too long so I still need to work on filtering out names, and trying to adjust the shape isn't working properly.
I think this picture sends a really clear message though.
Luton Town vs Arsenal Match Thread Word Cloud
I still have a ways to go eliminating pointless words, but sensiblepuffin and Astrealix were absolutely correct that Fuck and Fucking feature very prominently.
Raya is up there too, with Kai. Does that mean Havertz was as good as Raya was poor?
I think I will exclude anything I recognise as a username in the next one, and I also want to add weighting for how many upvotes the comment the word came from got. I also want to make it look nicer - this is the default for the package I was using.
I feel pretty good about this for a first pass. Let me know what you guys think I can change.
Reflecting on the team - the best and the worst
I've been thinking about this a fair bit recently, and hopefully it sparks some good discussion. We're a club with a long history, and a diverse fan base, and it's always interesting to see how people respond to questions like this:
Who are your favourite, and least favourite players? More specifically I'm interested in:
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Your favourite player in the current squad?
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Your favourite player ever?
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Your "what could have been" player - someone you were hopeful about when we signed them, but never quite lived up to the hype?
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Your least favourite? Maybe someone who seemed to make it in the lineup no matter what when you could see what everyone couldn't - they were shit.
I refuse to believe this show is this funny
you fuckers are all over my active feed and I'm laughing at shit I don't understand. I refuse to believe the show is this funny, but if, say, a friend wanted to prove me wrong, what incarnation of star trek would they tell me to start from? especially if they knew I hadn't seen a single episode.
GOAL.com: Bukayo Saka beats Erling Haaland and Moises Caicedo to the Men's PFA Young Player of the Year award after spearheading Arsenal's surprise Premier League title challenge last season
Bukayo Saka has been named the Men's PFA Young Player of the Year in recognition of his role in Arsenal's unexpected title tilt
Bukayo Saka takes out the PFA Young Player Of The Year! Gabriel Martinelli was also among the nominees. Safe to say Saka is a clear winner, given Haaland took Player of the Year.
@PFA on Twitter: PFA Premier League Team of the Year!
PFA Premier League Team of the Year!
🔴 @AaronRamsdale98
🔵 John Stones
🔵 @rubendias
🔴 William Saliba
⚫️ @trippier2
🔵 @KevinDeBruyne
🔵 Rodri
🔴 Martin Ødegaard
⚪️ @HKane
🔵 @ErlingHaaland
🔴 @BukayoSaka87
#PFAawards #PFA50
Declan Rice, Learning Machine - Billy Carpenter
Plus, what we learned at Selhurst Park: another shape, why Gabriel didn't start, what Rice unlocks, and what to do about the dynamic on the left
Plus, what we learned at Selhurst Park: another shape, why Gabriel didn't start, what Rice unlocks, and what to do about the dynamic on the left
Billy's latest is a fantastic read. Seeing the tactical reasons not to start Gabriel the last two games has calmed my heart.
Tactics with our new (and potential) signings
Usually July would be too early to start thinking about this but given how fast we've moved in the market, I've found myself more interested than usual at this time of year.
I'm really keen to hear, especially from those who have watched more of our new players than I have, how we might change our system with our new signings.
I know on Reddit a lot of people were dismissive of playing two inverted full backs together but from what I've read about Rice and Timber, is it possible we could deploy him, Zinchenko and Timber in the same lineup? Rice and Timber could share the responsibility of dropping into the back 3 while the other and Zinchenko sit at the base of midfield cycling the ball to our 5 up front.
I'm also very interested to see how Martinelli adapts his game with a new mainstay at left 8. If we play jorgi/partey (or Lavia/Caicedo 🙏) at 6 and give Rice some games at the 8, I honestly have no idea what he's like as a player there but given that he's more defensive than xhaka I could see Martinelli being possibly more isolated than last season. Havertz, ESR, Trossard could unleash our 11 even further though.
Another thought... Will Arteta play two strikers this season? I know havertz has had some time as a second striker. Is his profile different enough from Jesus, Trossard to allow having two of them up top? I know he's big and could develop as a target man but from everything I've read it's not his style. If he is yet another support striker/false 9 type player then this option is probably off the table.
Anyway, keen to hear people's thoughts and apologies if this isn't the kind of post people want to see. It felt too long for DD but if I get a negative response I'm happy to shift this sort of thing there.