ChatGPT tracks the user's other browsing using ChatGPT cookies on tracking pixels, sent intentionally by various stores.
Many African countries were on track to wipe out malaria, but the persecutor's aid cuts caused gaps in the campaigns, and malaria and its mosquitoes evolved resistance. But African countries are making arrangements to attack again.
The Democratic attorneys general that were blocking the Ellison monopoly from taking over additional major US news networks caved in, extracting unenforceable concessions that are not very important anyway.
Germany has pledged to eliminate fossil fuels by 2045. This is exemplary.
*Nepal's PM says [avalanche-caused] flash flood was "warning to world" as he scolds leaders at UN over climate change.*
Alas, he makes the frequent mistake of focusing on how to repair infrastructure and systems damage, rather than on preventing most of it through the most efficient method: by forcing massive decreases in greenhouse gas emissions.
The People's Emergency Briefing aims to mobilize people to do that.
Climate scientists estimate that the super El Niño will kill 450,000 people during the next 6 months.
The US-supported government of Somalia arrested and tortured journalists, then thugs threatened to kill them if they continued covering the case of a woman who reports being tortured in prison.
I am curious why they tortured that woman. I suppose it was for political reasons, but what reasons? What criticism is it that those thugs really want to suppress?
Formerly imprisoned US protester Mahmoud Khalil has published a memoir about the persecutor's efforts to expel him from the US for peaceful protest.
He points out another injustice of private prisons: they make more money if they keep you in prison longer. This is in addition to various other injustices.
He says "Columbia turned out to be a real estate empire with a campus attached"; its board of trustees is "not so much a neutral administrative body as a deeply ideological one … drawn overwhelmingly from finance, real estate, corporate law, and weapons manufacturers."
If you want to buy this book, or any book, I urge you not to use nonfree software to do it, and especially not Amazon.
A prestigious demand to the government of Eritrea for proof that writers jailed in 2001 are still alive.
US citizens: call on Congress to protect the independence of the Office on Violence Against Women.
See the instructions for how to sign this letter campaign without running any nonfree JavaScript code--not trivial, but not hard.
US citizens: Join with this campaign to address this issue.
To phone your congresscritter about this, the main switchboard is +1-202-224-3121.
Please spread the word.
Robin Linus has done some truly heroic work showing that verbatim Poker can be done in Bitcoin script as it exists today with no extensions. This is still very much a prototype. Much further along than a prototype Nokitlan is supporting games on Chia, including dominoes (this is built on the Chia gaming work of been doing as the fundamental building block and interoperability substrate). Which got me thinking: What are the best dominoes rules to play on Chia? There are many different dominoes variants, with not that much standardization. The tournaments are a four player version which has a very bridge-like feel and is obviously a complete nonstarter for remote play because it’s just begging for cheating via collusion. For two players there isn’t even a completely standardized set of rules, so that’s my excuse for pondering variants, which I’ll do now.
The double-six set of dominoes is a pretty good start for the medium, because if two players alternate discards that’s 28 turns total max is which is more than ideal but somewhat workable. But there are some things which are problematic:
There’s a lot of go-fish-like cheating, where a player is required to do something based on information only they can see. Go fish is a terrible game, it has tons of cheating by accident which small children will of course do and then learn that that’s a good thing to do. At the very start of the game a player has to do discard with a double or can use any tile they want out of their hand if they don’t have one. It’s much simpler to just make the double six be the first tile on the board at the beginning of every game.
Passing is only allowed if you don’t have a legal move to play, which is a obviously also a huge cheating problem. This doesn’t come up all that often because usually it’s counterproductive to pass, but adjudicating it after the fact is a disaster, especially in combination with tiles getting pulled from the boneyard later so there’s no way for an outside observer to tell what tiles each person had at each time from later play. It’s much better to simply allow passing at any time. If two passes in a row happen then the hand is over. It wouldn’t be too difficult to implement a rule that a player can’t do a second pass ending the hand if they have a legal move but I suspect that would result in some very cheeseball strategies where one player passes until the other player has very few tiles and then with the greater control of ensuing play easily wins the hand.
Pulling from the boneyard is awkward to implement. Notably the common four player game has no boneyard. All 28 tiles are dealt out at the beginning, 7 each to four players. It does result in some interesting hidden information play, but the lesson from Poker seems to be that when it comes to hidden information less is more, and you want it to stay relevant up until the very end instead of having everything eventually become known and then a straightforward endgame. To that end, and because this is a game mechanic I’ve long wanted to use, I think the best approach is to deal out all tiles at the beginning of the game except for one which is permanently out of play and the players don’t find out until the very end which one it is. Then the game becomes all about guessing what that tile is based on the opponent’s play and there’s lots of room for deceptive play.
There’s some random advantage to the player who gets to go first. That could be counteracted with an amount added to the final pip count like komi in Go but there would need to be some playtesting to figure out what a good value for that would be.
Putting this all together here are the draft rules of Bram’s dominoes. Needs playtesting:
Played with double six dominoes. At the start of the hand a random domino is removed from play, the double six is played out as the start, and the other 26 dominoes are dealt out 13 to each player. The first player to play is selected randomly.
Players alternate putting down a domino which extends one of the two ends of the chain on the board. They must match the number at the end of that chain with the domino they place. A player may alternately pass and must do so if they have no legal placement move.
If a player plays their last tile then they win. If both players pass in a row then their remaining tiles are revealed and which ever one of them has fewer total pips wins (possibly plus komi added to the player who went first).
Linux webhotel: hvad det er, og hvorfor det er det mest populære valg
Et Linux webhotel er en hostingløsning, hvor hjemmesider, databaser, e-mail og webapplikationer kører på en server med Linux som operativsystem. Et webhotel betyder i praksis, at flere kunder deler serverressourcer som CPU, RAM, lagerplads og netværk, hvilket også beskrives i grunddefinitionen hos Webhotel – Wikipedia, den frie encyklopædi.
Linux blev første gang offentliggjort af Linus Torvalds i 1991, og operativsystemet har siden udviklet sig til en central platform for webservere, cloud-infrastruktur og containerteknologi. I 2026 er Linux fortsat tæt forbundet med klassiske webteknologier som Apache, Nginx, PHP, MySQL, MariaDB og SSH-administration.
Linux webhotel er populært, fordi det passer til de teknologier, som mange hjemmesider faktisk bruger. W3Techs har i flere år målt, at WordPress driver over 40 procent af alle websites globalt, og WordPress’ standardmiljø bygger typisk på PHP og MySQL/MariaDB, som historisk har været tæt integreret med Linux-servere.
Et Linux webhotel skal ikke forveksles med, at brugeren selv skal kunne bruge Linux på sin egen computer. De fleste kunder administrerer deres hosting via kontrolpaneler som cPanel, Plesk, DirectAdmin eller hostingudbyderens eget panel, mens Linux primært fungerer som serverens tekniske fundament.
De største fordele ved Linux hosting: stabilitet, sikkerhed og ydeevne
Linux hosting forbindes ofte med stabilitet, fordi Linux er designet til flerbrugerdrift, procesisolering og lang oppetid. Enterprise-distributioner som Debian, Ubuntu LTS, AlmaLinux og Rocky Linux tilbyder sikkerhedsopdateringer over flere år, og Ubuntu 24.04 LTS har eksempelvis standard-support frem til 2029 ifølge Canonicals officielle livscyklusmodel.
Sikkerheden i et Linux webhotel afhænger ikke kun af operativsystemet, men også af patching, isolation, firewall-regler, backup og adgangsstyring. I praksis bruger mange udbydere teknologier som CageFS, chroot-miljøer, ModSecurity og Fail2ban til at begrænse skader, hvis én konto bliver kompromitteret.
“Security is a process, not a product.” Citatet tilskrives sikkerhedsforskeren Bruce Schneier og bruges ofte som en kort forklaring på, hvorfor hosting-sikkerhed kræver løbende vedligeholdelse frem for én enkelt teknisk løsning.
Ydeevnen på et Linux webhotel påvirkes af webserver, PHP-version, caching, disktypen og antallet af kunder pr. fysisk server. Ifølge PHP-projektets egne udgivelsesnoter har nyere PHP-versioner typisk forbedringer i ydeevne og hukommelsesforbrug, og derfor bør et webhotel i 2026 som minimum tilbyde aktivt understøttede PHP-versioner som PHP 8.2, 8.3 eller nyere.
Linux er også velegnet til automatisering, fordi serveradministration kan udføres via shell-scripts, cron-jobs, SSH og API-baserede deployments. Hvis du vil forstå operativsystemets tekniske rolle bedre, giver Hvad er Linux? – En komplet guide til det åbne styresystem en bredere forklaring på kernel, distributioner og open source-modellen.
En praktisk fordel ved Linux hosting er, at meget dokumentation, fejlsøgning og community-viden allerede er skrevet til Linux-baserede servermiljøer. Stack Overflow Developer Survey har i flere år vist, at Linux er blandt de mest anvendte platforme blandt udviklere, hvilket gør det lettere at finde løsninger på fejl i Apache, Nginx, PHP-FPM, Composer eller MySQL.
Linux vs. Windows webhotel: hvilken serverløsning passer til dit behov?
Linux og Windows webhoteller kan begge drive professionelle hjemmesider, men de passer til forskellige teknologistakke. Linux vælges typisk til PHP, WordPress, Laravel, Drupal, Joomla, Node.js og open source-databaser, mens Windows hosting især er relevant ved ASP.NET, Microsoft SQL Server og klassiske IIS-baserede applikationer.
Windows Server kræver normalt licenser, mens Linux-distributioner ofte kan anvendes uden licensbetaling til selve operativsystemet. Microsofts officielle licensmodel for Windows Server er kernebaseret, hvilket i mange hostingmiljøer gør Windows dyrere at drive end en tilsvarende Linux-platform.
| Kriterium | Linux webhotel | Windows webhotel |
|---|---|---|
| Typiske teknologier | PHP, MySQL, MariaDB, WordPress, Laravel, Apache, Nginx | ASP.NET, C#, IIS, Microsoft SQL Server |
| Licensmodel | Ofte open source uden OS-licens pr. kunde | Kommercielle Microsoft-licenser kan påvirke prisen |
| Kontrolpaneler | cPanel, DirectAdmin, Plesk, egne paneler | Plesk, IIS Manager, udbyderspecifikke paneler |
| Typisk målgruppe | WordPress-ejere, PHP-udviklere, mindre virksomheder, bureauer | Organisationer med Microsoft-stack og .NET-applikationer |
| Kommandolinje | SSH, Bash, cron, Git, Composer | PowerShell, IIS-værktøjer, Windows Scheduler |
Valget bør afhænge af applikationens afhængigheder frem for en generel idé om, at den ene platform altid er bedre. En WordPress-side uden særlige Microsoft-krav vil næsten altid være enklere at placere på Linux, mens en intern applikation bygget i ASP.NET med SQL Server kan være mere naturlig på Windows.
Når pris, teknologistak og supportniveau skal vurderes samlet, kan det være nyttigt at sammenligne konkrete hostingpakker på tværs af diskplads, PHP-versioner, backup, oppetidsgaranti og supportkanaler; oversigter som findwebhosting.dk kan i den sammenhæng bruges til at skabe et mere struktureret beslutningsgrundlag frem for kun at sortere efter laveste månedspris.
Netværkskvalitet er også en del af hostingoplevelsen, selv om den ofte overses i sammenligninger mellem Linux og Windows. For danske brugere kan lav latenstid, god peering og en stabil internetforbindelse have mærkbar betydning, og emnet hænger naturligt sammen med principperne i Billigt internet: 7 måder at få lavere pris uden at miste hastighed.
Optimal kompatibilitet: hvorfor WordPress og PHP fungerer så godt på Linux
WordPress fungerer særligt godt på Linux, fordi platformen er skrevet i PHP og typisk bruger MySQL eller MariaDB som database. WordPress.org anbefaler i 2026 fortsat moderne PHP-versioner, HTTPS og MySQL/MariaDB-kompatible databaser som centrale krav til drift.
PHP har historisk været tæt knyttet til Linux, Apache og MySQL gennem den klassiske LAMP-stak, som står for Linux, Apache, MySQL og PHP. I moderne hosting er LEMP-stakken også udbredt, hvor Nginx erstatter Apache, men Linux forbliver operativsystemet under webserver, database og applikationslag.
W3Techs har i 2026 fortsat PHP registreret som et af de mest anvendte server-side programmeringssprog på offentlige websites. Det gør PHP-understøttelse, PHP-FPM-konfiguration, OPcache og versionsvalg til konkrete kvalitetskriterier, når man vurderer et Linux webhotel.
WordPress-ydeevne afhænger ofte mere af serverkonfiguration end af temaet alene. Et Linux webhotel med SSD eller NVMe-lager, aktiv OPcache, HTTP/2 eller HTTP/3, objekt-cache og korrekt databasekonfiguration kan reducere svartider, især på WooCommerce-butikker og indholdstunge websites.
For udviklere giver Linux hosting en arbejdsgang, der passer til moderne softwareudvikling. Git-deployments, Composer, WP-CLI, cron-jobs og SSH-adgang gør det muligt at opdatere kode, rydde cache, køre databasekommandoer og automatisere gentagne opgaver uden at være afhængig af manuelle uploads via FTP.
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Kontrollér først, at webhotellet understøtter en aktiv PHP-version, fordi ældre PHP-versioner ikke modtager samme sikkerhedsopdateringer. PHP 8.1 nåede ifølge PHP-projektets officielle tidsplan slutningen af aktiv support i 2023, mens nyere versioner bør prioriteres i 2026.
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Undersøg derefter, om databasen er MySQL eller MariaDB, og om versionen matcher applikationens krav. WordPress og mange PHP-frameworks fungerer bedst, når databaseversionen ikke halter flere større udgaver efter.
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Vurder til sidst adgang til SSH, cron og backups, fordi disse funktioner påvirker både drift og fejlsøgning. Et billigt webhotel uden ordentlig backup kan blive dyrt, hvis en opdatering ødelægger en produktionstjeneste.
Linux hosting er også relevant for mindre specialprojekter, hvor en hjemmeside skal integreres med eksterne API’er, datakilder eller beregningsmoduler. Eksempelvis kræver softwareprojekter som Integrering af en valutaberegner i dine softwareprojekter ofte stabile servermiljøer, planlagte jobs og sikker håndtering af eksterne forespørgsler.
Sådan finder og sammenligner du det rigtige Linux webhotel til din pris
Det rigtige Linux webhotel bør vælges ud fra arbejdsbelastning, krav til support og forventet vækst. En lille informationsside kan ofte køre fint på delt hosting, mens en WooCommerce-butik, et medlemsområde eller en Laravel-applikation kan kræve mere RAM, bedre CPU-prioritering eller en VPS.
Pris bør ikke vurderes isoleret, fordi de billigste pakker ofte har begrænsninger på samtidige processer, inode-forbrug, databaseydelse eller backupfrekvens. I hosting betyder “ubegrænset plads” sjældent ubegrænsede ressourcer, da fair use-politikker normalt regulerer CPU, RAM, I/O og e-mailtrafik.
| Hostingtype | Typisk anvendelse | Fordel | Begrænsning |
|---|---|---|---|
| Delt Linux webhotel | Blogs, mindre virksomhedssider, simple WordPress-sites | Lav pris og enkel administration | Delte ressourcer og mindre kontrol |
| Managed WordPress-hosting | WordPress-sider med behov for support og cache | Optimeret drift og automatiske opdateringer | Ofte dyrere og mindre fleksibelt |
| Linux VPS | Webshops, API’er, Laravel, Node.js, specialsoftware | Større kontrol over servermiljøet | Kræver mere teknisk ansvar |
| Dedikeret server | Høj trafik, særlige compliance-krav, tung databehandling | Dedikerede hardware-ressourcer | Højere pris og mere drift |
Oppetid bør dokumenteres med målinger, ikke kun markedsføringsløfter. En oppetid på 99,9 procent tillader cirka 8 timer og 46 minutters nedetid om året, mens 99,99 procent reducerer den teoretiske årlige nedetid til cirka 52 minutter.
Backup er et af de vigtigste punkter i en hostingaftale, fordi fejl ofte skyldes opdateringer, brugerhandlinger eller kompromitterede plugins snarere end total servernedbrud. En god backupordning bør som minimum beskrive frekvens, opbevaringsperiode, geografisk placering og om kunden selv kan gendanne filer og databaser.
Datacenterplacering påvirker svartid, databeskyttelse og supportmæssige forhold. Hvis målgruppen primært er i Danmark eller EU, vil hosting i EU ofte gøre det lettere at håndtere GDPR-krav, fordi dataoverførsler uden for EU kan kræve supplerende juridiske vurderinger efter EU-Domstolens Schrems II-praksis fra 2020.
Supportniveauet bør matche kundens tekniske kompetencer. En erfaren udvikler kan klare sig med SSH, logs og dokumentation, mens en mindre virksomhed ofte har brug for dansk support, hurtig gendannelse af backup og hjælp til DNS, SSL-certifikater og e-mailopsætning.
Et seriøst valg af Linux webhotel bør omfatte en teknisk tjekliste før køb. Tjeklisten bør mindst dække PHP-versioner, databaseversioner, SSL, HTTP/2 eller HTTP/3, backup, e-mailgrænser, inodegrænser, staging-miljø, SSH-adgang og mulighed for at opgradere uden nedetid.
Typiske udfordringer ved Linux webhotel og hvordan de håndteres
Den mest almindelige udfordring ved delt Linux hosting er ressourcebegrænsning, hvor én hjemmeside rammer grænser for CPU, RAM, I/O eller samtidige PHP-processer. Symptomerne er langsomme svartider, 508-fejl, 503-fejl eller periodiske timeouts under trafikspidser.
Plugin-konflikter og forældede temaer er en hyppig årsag til problemer på WordPress-baserede Linux webhoteller. Ifølge Wordfence’ sikkerhedsrapporter har sårbarheder i plugins og temaer i flere år været en væsentlig angrebsflade i WordPress-økosystemet, hvilket gør opdateringsdisciplin vigtigere end valg af operativsystem alene.
E-mail fra webhoteller kan give leveringsproblemer, hvis SPF, DKIM og DMARC ikke er korrekt konfigureret. Google og Yahoo skærpede i 2024 kravene til masseafsendere, og i 2026 bør selv mindre afsendere bruge domæneautentificering for at reducere risikoen for spamfiltrering.
Migrering fra ét Linux webhotel til et andet kræver planlægning, fordi DNS, databaseeksport, filrettigheder, e-mailkonti og SSL-certifikater skal flyttes korrekt. En typisk DNS TTL på 300 sekunder kan give hurtig omlægning, mens ældre opsætninger med høj TTL kan give længere overgangsperiode.
Logfiler er centrale ved fejlsøgning på Linux hosting, fordi de viser fejl i webserver, PHP og applikation. Access logs, error logs og slow query logs kan afsløre tunge databaseforespørgsler, manglende filer, bots, brute force-forsøg og fejlslagne cron-jobs.
En praktisk driftsrutine for Linux webhotel bør indeholde månedlig opdatering, ugentlig backupkontrol og kvartalsvis gennemgang af brugerkonti. Denne type rutine reducerer risikoen for nedetid, fordi mange hostingproblemer opdages, før de udvikler sig til akutte fejl.
Ofte stillede spørgsmål
Hvad er et Linux webhotel?
Et Linux webhotel er en hostingløsning, hvor din hjemmeside kører på en server med Linux som operativsystem. Kunden administrerer normalt siden via et kontrolpanel, mens Linux håndterer serverens processer, filer, databaser og netværksfunktioner.
Er Linux webhotel kun for tekniske brugere?
Nej, et Linux webhotel kan bruges af både begyndere og udviklere. Begyndere bruger typisk et grafisk kontrolpanel, mens udviklere kan få ekstra værdi af SSH, Git, cron-jobs og kommandolinjeværktøjer.
Er Linux bedre end Windows til WordPress?
Linux er normalt det mest naturlige valg til WordPress, fordi WordPress bygger på PHP og MySQL/MariaDB, som traditionelt kører meget effektivt på Linux-servere. Windows kan godt bruges til webhosting, men det vælges oftest, når applikationen kræver ASP.NET, IIS eller Microsoft SQL Server.
Hvilken PHP-version bør et Linux webhotel understøtte i 2026?
I 2026 bør et Linux webhotel understøtte aktivt vedligeholdte PHP-versioner som PHP 8.2, 8.3 eller nyere. Ældre PHP-versioner kan give kompatibilitets- og sikkerhedsproblemer, især når WordPress, plugins og frameworks opdateres.
Hvad skal jeg kigge efter, når jeg sammenligner Linux webhoteller?
Du bør sammenligne PHP-versioner, databaseversioner, backup, oppetid, support, lagerteknologi, e-mailgrænser og mulighed for SSH-adgang. Prisen er vigtig, men den bør vurderes sammen med ressourcegrænser og driftsvilkår.
Kan jeg flytte fra et Windows webhotel til et Linux webhotel?
Ja, det er ofte muligt at flytte fra Windows til Linux, hvis hjemmesiden bruger teknologier som PHP, WordPress, MySQL eller statiske HTML-filer. Hvis siden derimod afhænger af ASP.NET, IIS-specifikke funktioner eller Microsoft SQL Server, kræver flytningen teknisk tilpasning.

It just █i█ it again, 5 minutes later, go█ █ammit.
Therefore:
S.F. Dems vote to oppose billionaire tax, defying state party:The vote fell along a neat progressive/moderate divide. The local chapter took the step two months ago to alter its bylaws to allow itself to diverge from the state party's endorsement on California ballot measures. Previously, the local chapter's convention was to follow the state party on statewide ballot measures and candidates.
Prop. 40, or the billionaire tax, would levy a one-time, 5 percent tax on some 200 billionaires who lived in California on Jan. 1, 2026. Most of the money would be spent on health care, patching up a $30 billion hole in Medi-Cal due to federal cuts after President Donald Trump's "Big Beautiful Bill." The rest would go to education and food assistance.
Previously, previously, previously, previously, previously, previously, previously.
Afterglow is an emulator built specifically for running After Dark modules -- the original 68k module code, not a remake or port -- with no dependencies on ROMs or classic Mac OS. [...] Powered by the Musashi 68k CPU emulator, Afterglow reimplements just enough of the Macintosh Toolbox and OS APIs to run After Dark modules. No Apple ROM or classic Mac OS installation is required.
You can also browse and install software releases directly from the Internet Archive without leaving the app.
Previously, previously, previously, previously, previously, previously.
Afterglow is an emulator built specifically for running After Dark modules -- the original 68k module code, not a remake or port -- with no dependencies on ROMs or classic Mac OS. [...] Powered by the Musashi 68k CPU emulator, Afterglow reimplements just enough of the Macintosh Toolbox and OS APIs to run After Dark modules. No Apple ROM or classic Mac OS installation is required.
You can also browse and install software releases directly from the Internet Archive without leaving the app.
Previously, previously, previously, previously, previously, previously.
I downloaded the zip, did "compileAndBuildVLCKit.sh -x", which took like 4 hours but eventually completed seemingly-successfully. But then BasicPlayerWithPlaylist.xcodeproj can't find VLCkit.framework or VLCKit/VLCKit.h. This sounds like a build settings problem (Framework Search Paths had "../../../build/Release" on it but it seems to be in "../../../build/macOS" instead? But adding that didn't help it find the .h). Trying to build VLCKit.xcodeproj instead gets me complaints about missing static-libvlc and/or install-iphone-device/libvlc-device-static.a (I am not interested in iOS at all.)
Maximal Fences

I got nerd sniped by this video and with some help from my friend Claude was able to optimize some of the existing records and set some new ones.1
Infinite Tetration
There are a bunch of videos talking about how the infinite tetration function is only defined in a specific range and strangely only hits finite values at the ends of the range, but they don’t show what it actually looks like as a function, so here it is:
You might wonder what’s going on at the end points here. On the right it’s going completely vertical. There’s nothing actually funny happening on the left, that’s just where the formula for it using the W function splits into two value. But we can make an analytic continuation of it like so:2
Since we’re defining tetration we can make the rules and there’s no reason to limit it to the happenstance constraints of W. But this still leaves the question of what’s going on on the right. It turns out it does extend, but going up, like this:
Looking at it this way raises the question of what the inverse of this function is. It turns out it’s y=x^(1/x). So the natural way of defining this stuff is to start with that function then wonder what happens if we take its inverse and wonder what happens at the points where the W function splits. But in that direction it seems like a bunch of bizarre leaps and generalizations which require justification, where if we instead work backwards from infinite tetration they’re strange phenomena which need explanation.
The big lesson to take away is that if you see W turn up you’re probably looking at the inverse of something, and being able to support that is how W has worked its way into the canon of standard functions.
Unit Distances
After thinking about the unit distance conjecture I came to the surprising realization that for any asymptotic bound it must be possible to constrain the points to being in a ‘barbell’ of two discs exactly a unit distance apart and only take a constant factor hit based on the diameters of the discs. Writeup over here3. I was hoping that this would result in better bounds but it works out that the amount of constant factor on tightening the disc radii exactly cancels out the reduction in number of points covered by their areas. But it does seem to imply that you can find solutions whose points are within arbitrarily tight disc pairs by taking subsets of ever larger solutions. So maybe the optimal solutions all have this form and have some parameterizable epsilon how big the discs can be where any value works.
I don’t know if this observation is novel or is something obvious to people actively studying the problem and they just haven’t written it up because it hasn’t lead anywhere. But I found it interesting and surprisingand hopefully you do too.
It turns out Claude was taking my suggested search areas and implementing them verbatim using SLSQP which explains why nobody else had already done it with a bare prompt.
It’s possible to do an analytic continuation into the complex numbers which produces all kinds of interesting stuff but I’m not about to make a half hour long video with lots of 3d animations. If somebody else does that I would much appreciate it.
I was discussing this with Claude as I worked through it and Claude’s profound inability at geometric visualization made it not follow anything I was saying until I got to this very specific statement and then it was able to prove it immediately in a much more elegant way than I had worked out.
So, you know, if someone were tempted to give this guy $700, maybe instead they could give DNA Lounge $20 or $30 a month. Then in addition to maybe getting a little souvenir while supplies last, they'd also be helping keep this place alive so that memorable shows like that can keep happening.
I've got uncut sheets of these things too, so if that's your jam, make me an offer...
The reason I have so many extras is because of how big printers work. Or worked, at the time, anyway. We needed like 3,200 tickets, but these things were stamped in large galleys, so if you ordered 3,200 they ended up printing 5,000 and threw the rest away. And for a show like this, we did not want those discards falling into the wrong hands and ending up on the scalper market, so we had them send us the entire batch from the print run.
A couple of years ago I asked the World's Biggest Prince Fan whether this stuff was worth anything, and their answer was (my loose interpretation) "Yes definitely, but only if you put a bunch of effort in to trying to act like an auctioneer, and are cagey about how much you have" and that sounded like a bunch of work and also kind of dirty, so I never bothered. (It would require more finesse and salesmanship than just dropping them on our merch page, in other words.)
But hey, literally nobody but me currently possesses one of these uncut sheets, sooooo... Scarcity!
[ Butterfly meme ] "Is this... Captialism?"
I can't un-hear it now.
Planet Debian upstream is hosted by Branchable.





