codevirtualize 🇨🇴 @codevirtualize
Code is literature too. Retweets aren’t endorsements. Hearts don’t always mean I like tweets, sometimes they are just “read” markers. Joined March 2019-
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Pope Leo is not happy with Jensen Huang
Pope Leo criticises Nvidia’s Jensen Huang over AI safety ft.trib.al/azwdiGc
NEW: Employees at OpenAI had raised security alarms months before the Hugging Face incident and related A.I. cyberattacks — their warnings were ignored. From @sheeraf, @dnvolz and me. nytimes.com/2026/09/29/tec…
"Make a faster machine and people will flock to inefficient software.” -- John Dvorak talkingbiznews.com/media-news/dvo…
This has my full support. Jensen is right.
For my first post, I’m sharing a letter @nvidia signed on why open models matter. AI will transform every industry, power every company, and be built by every country. Open models strengthen safety and cybersecurity, accelerate innovation and diffusion, and enable sovereignty.
RMS Queen Elizabeth arriving in New York with the soldiers returning home after the end of World War II (1945)
OpenAI claims to have proved the cycle double cover conjecture. I'd like to hear experts in graph theory weigh in.
In 1976, a discarded box revealed 138 pages of Ramanujan's messy, crossed-out equations. Everyone assumed they were failures. But they were actually the future of black hole thermodynamics.
Probability distributions interconnect through solid arrows marking exact transformations and special cases, such as sums or powers, and dashed arrows for limits including binomial(n, p) to Poisson(λ = np) as n → ∞. Exponentiation links normal to lognormal, beta(1,1) matches uniform, and t with ν = 1 is Cauchy. Numerous paths lead to the normal distribution by the central limit theorem. Practitioners use these relationships to select models for data, such as the Poisson distribution for counting arrivals at a service desk or the gamma for processing times in logistics.
Grace Hopper was a US Navy rear admiral, mathematician, and the person who built the first compiler. In 1952, she wrote A-0 – a program that translated mathematical notation into machine code. Before the compiler, every program was written in machine language. Binary instructions. Ones and zeros. Different for every machine architecture. Hopper's idea: write code in something closer to English. Let a program translate it into machine language automatically. Her supervisors told her it was impossible. Computers, they said, could only do arithmetic – not symbol manipulation. She did it anyway. Her compiler worked. Nobody used it. "I had a running compiler," she later said, "and nobody would touch it. They told me computers could only do arithmetic." She spent three years convincing people it was real before it was adopted. By 1959, she co-developed COBOL (Common Business-Oriented Language) which ran the financial systems of the Western world for decades. COBOL still processes an estimated $3 trillion in daily financial transactions. The code that keeps the global economy moving was designed by a woman whose supervisors told her it was impossible. She kept a clock on her wall that ran counter-clockwise. When asked why, she said: "Why not? Who says a clock has to run this way?"
Jessica Trespalacios recibe premio de la Academia Chilena de Ciencias por su tesis doctoral desarrollada en el DIM | Departamento de Ingeniería Matemática. dim.uchile.cl/2026/07/jessic…
Covariant derivative ✍️ It is a tool that addresses a challenging issue in curved geometry. On a flat surface, if you carry an arrow pointing north while walking in a straight line, it continues to point north effortlessly. However, on a curved surface, the ground is twisting and tilting beneath you as you move. This makes the usual way of determining how a vector changes confusing. You mix together the true change in the vector and a false apparent change that comes purely from the coordinate grid bending under you. The covariant derivative offers a corrected version that separates the real change from that illusion. In the diagram, two nearby points on a curved surface are labeled p and q and connected by a tiny step. At point p, there is an arrow representing some vector, such as velocity or direction. The simple way of measuring how that arrow changes as you move toward q gives one answer, shown as a dashed blue arrow. But this method is unreliable because it does not account for the curving of the coordinate grid. The corrected version, shown as a green arrow, fixes this issue by subtracting the false contribution caused by the curvature and reveals the true rate of change. The core idea in the picture is called parallel transport, represented by a dotted line connecting the two points. On a curved surface, an arrow at point p and an arrow at point q exist in two different tilted flat planes, so you cannot compare them directly as you would in flat space. Parallel transport is the careful process of moving the arrow from p to q while disturbing it as little as possible. You twist it only by the amount the curvature requires, so that when it arrives, it can be accurately compared to whatever arrow exists at q. Without this step, the concept of comparing vectors at different points in curved space would not make sense. The correction needed to adjust the naive derivative is called a Christoffel symbol. Despite its complicated name, it simply records how much the coordinate grid bends and twists at each point, similar to how a fishing net draped over a hill stretches and tilts near a bump but lies flat elsewhere. This correction is not random; it comes directly from something called the metric. The metric defines how distance and angle are measured at every point on the surface. Once you understand how to measure lengths and angles everywhere, the twisting of the coordinate grid is fully determined, and the correction term becomes a way to extract that information. This all matters a great deal because it serves as the fundamental mathematical language behind Einstein's theory of general relativity. In this theory, gravity is redefined not as an invisible force but as a natural consequence of curved spacetime itself. A planet orbiting a star or an apple falling from a tree is not being pulled by anything; it is simply following the straightest possible path through spacetime, which has been warped by mass and energy. That straightest path is exactly the type of parallel transport shown in this diagram, but it applies to the fabric of space and time rather than a simple curved sheet.
Try it out
X just launched hosted MCP servers so AI tools can connect directly to the platform. Connect Grok Build, Cursor, Claude, VS Code, or any MCP client to two official servers: • X MCP (httpx://api.x.com/mcp) search posts, manage bookmarks, fetch trends/news, and draft/publish
There is an old laptop in your closet. Gathering dust. Dead battery. Slow processor. You keep it because you feel guilty throwing it away. That laptop can replace every cloud subscription you pay for. - Netflix - Google - Dropbox - 1Password That is $42 a month. $504 a year. To rent things you used to own. The old laptop in your closet could do all of it. Now meet CasaOS. A free and open source system that turns any old laptop, Raspberry Pi, or mini PC into your own personal cloud. You run one command. In 30 minutes, the laptop becomes a server. You open it from your phone, your TV, your work computer, anywhere in the world. Then you pick the apps you want from a built-in store. One click each. - Jellyfin to replace Netflix. Stream every movie and show you own. - Immich to replace Google Photos. Faces and search included. - Nextcloud to replace Dropbox. Sync every file across every device. - Vaultwarden to replace 1Password. All your passwords, your keys. - Syncthing to keep files in sync across every device, no cloud. - Home Assistant to control every smart device in your home. - AdGuard to block ads on every device on your wifi. Setting up a home server the old way took an entire weekend. Install Linux. Learn Docker. Write config files. Set up storage. Fix errors. Look up every app one by one. CasaOS does all of that for you. No code. No config files. No Linux skills. You see icons on a screen. You click them. 34,116 stars on GitHub. Apache 2.0. Free forever. Built by a small team starting September 2021. Runs on Raspberry Pi, Intel NUC, old laptops, and most home servers. Over 100,000 Docker apps can be installed. A new Raspberry Pi costs $50. The old laptop in your closet costs $0. It already works. It is already in your house. Netflix charges every month. CasaOS doesn't. Google charges every month. CasaOS doesn't. Dropbox charges every month. CasaOS doesn't. 1Password charges every month. CasaOS doesn't. Here is the wild part. The laptop you forgot about is more powerful than the web server that ran most websites in 2008. It is sitting in a drawer. It costs you nothing. It already works. One command. Thirty minutes. Five hundred dollars a year back in your pocket. Your files. Your photos. Your movies. Your home. Your closet just became a data center.
SpaceX was less than 10 people back then. We didn’t even have office furniture.
Rick @Rick92647
5K Followers 5K Following Husband/Non-professional mature (old) gamer/retired truck driver/fool/ (in that order) https://t.co/9qBJz8Waog https://t.co/vnEriQQqVI
Damian Płaza @raimeyuu
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Pepe Flores Diaz @JoseFlo29109133
520 Followers 1K Following Con la verdad siempre y contra los corruptos. #RedDeTuiterosDemocraticos
Juan Fernando Pacheco @juanfernandop_
17 Followers 67 Following Business Development Manager at Tata Consultancy Services. *Opinions are my own*
Sand @ peace @FarlowGiles
104 Followers 182 Following
Armando Belisario @Armand_CT
318 Followers 2K Following “La esperanza es desear que algo suceda, la fe es creer que va a suceder, y la valentía es hacer que suceda.”
Mario Santamaría @MarioLectorEC
488 Followers 456 Following Lector contumaz (más que publicar, leo, a veces opino de ideas que llaman mi atención, también reenvío tweets que me parecen interesantes)
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Verónica Cabrera @veronica_mco
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Alfrefo Silva @InsistAlfredo
5K Followers 4K Following Vamos al campo, que es hora de dar al conde Lozano, el castigo que merece tan infame lengua y mano
Rolando Ruilova Litum... @roloruilova
441 Followers 3K Following Somos arquitectos de nuestro propio destino, construyendo nuestras alas con los retazos que nos da la vida.
Andrés @LuisGuaman_
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Iglesia del Mashi de ... @del_mashi
896 Followers 4K Following Cuenta parodia Cuenta de la #IglesiaDelMashiDeLosUltimosDías en la que nos reunimos con mis #obisposdiezmeros y mis #borregosfieles Todos dicen #GraciasMashi
🇪🇨 𝗦𝗼𝘆... @QuitenaLibre
420 Followers 760 Following Antirrobolucionarios. ¡Unámonos por un Ecuador de paz, justicia, democracia y libertad, sin impunidad! 🚫NO DM🚫 #DanielNoboaPresidente ❶❶❶❶
Dani ⭐️🇪🇸�... @es_charlatan
2K Followers 919 Following 🇪🇸🇳🇱🇪🇨 - Onubense en Quito - Aquí se les atiza a todos!
Klaus Dieter @Kladirol
87 Followers 553 Following Silvicultor preocupado, borrón y cuenta nueva, me la cerraron vaya a saber porqué!
Gianfranco Di Mattia ... @gianidi2823
1K Followers 863 Following
𝙻𝚊𝚍𝚢 𝙵... @LadyFeely
5K Followers 5K Following 𝒆𝒎𝒑𝒓𝒆𝒏𝒅𝒆𝒅𝒐𝒓𝒂, 𝒆𝒎𝒑𝒓𝒆𝒔𝒂𝒓𝒊𝒂, 𝒇𝒊𝒍𝒂𝒏𝒕𝒓𝒐𝒑𝒂. 😌 𝐒𝐨𝐲 𝐍𝐢𝐜𝐨𝐥𝐞 𝐖𝐚𝐭𝐭𝐞𝐫𝐬𝐨𝐧 𝐯𝐞𝐫𝐬𝐢𝐨𝐧 𝐠𝐮𝐚𝐲𝐚𝐜𝐚
Guillermo @DiveGuille
48 Followers 338 Following Primero Dios, después vos! todo perro merece un cielo! bucear es mi vida.
Ma Paula Baquero @Mapisfe92
2K Followers 2K Following 100% Ecuatoriana 🇪🇨 Comunicadora, Futura Abogada y amante de las motos
Benita Alejandro @BenAleur
1K Followers 4K Following
c-vale♥️♥️�... @cvale8aa
25K Followers 6K Following Destruye mis deseos, erradica mis ideales, muéstrame algo mejor y te seguiré. (Dostoyevski)
Joe Pino @he67719331
4 Followers 237 Following 1/4 Latino, 1/4 South African, 1/4 Jewish, 1/4 Indian PersonE no menstruante
💎Alice💎😇💖... @angeldelcieli19
9K Followers 6K Following TE AMO ESPOSO EDUARDO FERNÁNDEZ. Antipopulismo... Si eres seguidor de Claudia no me sigas. 🚫NO DM🚫
LumiereBlue_HC @LumiereblueH
2K Followers 3K Following Amo a Ecuador y la naturaleza, pro vida, contraria al comunismo, socialismo y todo tipo de práctica engañosa que manipula al pueblo para provecho propio
OSO_SIBERIANO ↙️ ... @RAGNAR_GUERRERO
1K Followers 1K Following Me fastidia la hipocresía. #RedDeTuiterosDemocraticos
Rolando Montesdeoca C... @romoced
5K Followers 3K Following Manabita en estado puro. Aquí hablamos de todo un poco. Chocolate maker #TreeToBar
Joaquín @jarichabala
11 Followers 73 Following Live as if you were to die tomorrow. Learn as if you were to live forever
Paola @paoxsosa
216 Followers 340 Following
Luis🇪🇨🎧 @hllerena1989
1K Followers 2K Following Si el futuro no te emociona, entonces estás en el presente equivocado.
Gladiador @Gladiador2111
2K Followers 3K Following El respeto es el valor que permite que la persona pueda reconocer, aceptar, apreciar y valorar las cualidades del prójimo y sus derechos.
Andrea Gómez @andrea_98_gomez
14 Followers 25 Following
Pingo Martinez @PingoMartinez
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Fernando Garcia @fergarciagarcia
657 Followers 4K Following ||| Systems Engineer ||| Information Security Specialist
Enrique Cabrera @fogyto
428 Followers 2K Following
Jakiro Feicán Guerre... @jakirof
110 Followers 483 Following Amor y deseo son dos cosas diferentes; que no todo lo que se ama se desea, ni todo lo que se desea se ama. Cervantes
Juan C Alvarado @Jukcalab
274 Followers 3K Following Busco la verdad, aspiro al crecimiento, el misterio de la vida y lo que hay más allá
Rosanne Liu @savvyRL
56K Followers 1K Following Cofounded & running @ml_collective. Weekly talks at Deep Learning Classics & Trends (DLCT). Research at Google DeepMind. DEI/DIA Chair of ICLR & NeurIPS.
Chip Huyen @chipro
155K Followers 738 Following @aisysbooks @goodailist AI Engineering: https://t.co/94dv4uTU1H Designing MLSys: https://t.co/G81hL2dWmr Reading @chipslib
Nestor Silverio Arias @nestor_silverio
13 Followers 6 Following
Dylan Freedman @dylfreed
5K Followers 399 Following A.I. @nytimes. Signal: dylanfreedman.39 Previously @washingtonpost, @documentcloud, @StanfordJourn, @GoogleAI, @Harvard. 🏃🏻 🎹
Erling Haaland @Erling
16.8M Followers 11 Following Every morning you have two choices: Continue to sleep with your dreams or wake up and chase them 💪🏻 / @mancity 🇳🇴 @nff_landslag ⚽️ @nikefootball
Maye Musk @mayemusk
1.6M Followers 250 Following Doctor of Dietetics 👩🎓 Supermodel 😉💃 [email protected] Author: A Woman Makes A Plan 📖 +Sept 2026 TIMELESS 📖 Pre-order: https://t.co/W9KRc2KNbf
Massimo @Rainmaker1973
4.4M Followers 172 Following Engineer. Selecting and curating pictures and videos trying to awaken your sense of wonder since 2014. Science, tech, art, weather, space, the unusual around us
Rick @Rick92647
5K Followers 5K Following Husband/Non-professional mature (old) gamer/retired truck driver/fool/ (in that order) https://t.co/9qBJz8Waog https://t.co/vnEriQQqVI
VECERT Analyzer @VECERTRadar
45K Followers 58 Following ❮ Cybersecurity & CTI ❯ We are a cybersecurity company dedicated to critical analysis and adversary research.
𝗖𝘂𝗯𝗮 𝗰... @CubaOrtografia
74K Followers 1K Following Corrigiendo ortografía y gramática sin descanso. En este perfil se defiende el idioma español y la libertad de expresión, pero no toleramos el socialismo.
Physics In History @PhysInHistory
1.1M Followers 0 Following Photos from the history of physics | © with mentioned Archives. Shared for educational purposes. Einstein portrait © Ullsteinbild. Subscribe for curated papers.
Fermat's Library @fermatslibrary
793K Followers 4 Following A platform for illuminating academic papers. We annotate and share a paper every week. Save, annotate and share papers with anyone: https://t.co/0o2Pls3jmo
World of Engineering @engineers_feed
3.5M Followers 68 Following The most fun way to learn something new everyday.
a16z @a16z
1.1M Followers 64 Following https://t.co/A9eTFq6Xbx https://t.co/3RHK5vqQo7 Posts are not investment advice or an advertisement for investment services. See https://t.co/nX2FtaLE06.
SHILL HOUSE @shillhousecom
447K Followers 1 Following
Ariztmendy, the Juan ... @ariztmendy
15K Followers 2K Following Serial Entrepreneur 🇨🇴🇺🇸 | De derecha | Ex-Uribista | Anti-petrista | #eltablazo | #despachese | Not playing along with your gender fantasy! |
Mathematica @mathemetica
69K Followers 217 Following Math isn't escape. It's the map through the madness.
Bilgin Ibryam @bibryam
85K Followers 887 Following Building agentic infrastructure. Writing about AI-assisted coding and agentic systems. Product manager @soloio_inc. I publish The Generative Programmer
claire vo 🖤 @clairevo
69K Followers 3K Following building @cxodev @chatprd • 🎧 host https://t.co/9WUoI4MxRm 👩👦👦 mama 💻 3x CPTO 🧠 pm + eng + ai 😍 @elawless 📱chiefproductofficer on tiktok
nicole @nicolekcha
218 Followers 381 Following software engineer, ex-, ex-Google, ex-Snap. ai, software eng, and snark
Luis Espinosa Goded @luisesgo
37K Followers 9K Following Profesor de economía y humanidades-en la universidad y en las redes-.
Brett Rowberry @BrettRowberry
411 Followers 495 Following Functional programming & DevOps. Clojure, F#, and Apple. Husband. Dad. Follower of Christ.
Jordan Marr @jordan_n_marr
1K Followers 461 Following Here for F# and 😾 pics. Software dev at Symetri.
Damian Płaza @raimeyuu
1K Followers 6K Following Problem Solver/Solution Problemer. Engineer, baptized in control engineering. Passionate about people, software design, and modelling. Functional-first thinker.
suprematis @suprematis
210 Followers 449 Following Can't help to see numbers on everything. Can't help to question everything. Fell in love with statistics on my mid-thirties.
Nav Toor @heynavtoor
152K Followers 256 Following Helping you master AI daily with step-by-step AI guides, latest news, & practical tools • DM for Collabs
Rohit Ghumare @ghumare64
89K Followers 2K Following Applied AI | Architect | Advisor | Founding engg @ iii | Ex-founder CreateMVP | @googledevexpert @cloudnativefdn @claudeai @devinai @agenticaifdn ambassador
Damian Edwards @DamianEdwards
51K Followers 1K Following PM Architect at Microsoft working on @aspiredotdev & @dotnet 💘 craft🍻 malt🥃 good☕ fine⌚ 🇦🇺🏏 @Mariners ⚾ @seahawks 🏈 @F1 🏎
Sam Altman @sama
6.4M Followers 1K Following The mission of OpenAI is to ensure that AGI benefits all of humanity
CyberCat Institute @CyberCatInst
1K Followers 104 Following Institute for Categorical Cybernetics - applied category theory for social good in economics, machine learning and software engineering
Gabriela Panchana Bri... @EnVozAlta
20K Followers 3K Following Una vida sin causa es una vida sin efecto. Comunicación Política. @GSPMgwu Ciudadana 💪🏼 #ResistenciaEC @RumboPlural
Ellie Sleightholm @elsleightholm
45K Followers 276 Following 🎓 Applied Maths PhD student at DAMTP, University of Cambridge 🪐 Showing others the beauty in Maths, Space, and STEM 📧 [email protected]
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229K Followers 200 Following | Tech Writer, Educator | Python, Java, JavaScript, SQL | DSA, Development | Free Resources, AI Tools | Other Version: @therealswapna | Building @JabardastDEV |
Tivadar Danka @TivadarDanka
97K Followers 531 Following I make math and machine learning accessible to everyone. | Subscribe to my channel on YouTube ↓
Math Cafe @Riazi_Cafe_en
56K Followers 113 Following The goal of this account is to encourage mathematical thinking.
Probability and Stati... @probnstat
80K Followers 717 Following Sharing insights on Probability, Statistics, ML, DL and AI research. Subscribe for recent research paper discussions at $2/month. DM to collaborate.
Club Ika Quito @IkaQuito
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Aaron Stannard @Aaronontheweb
9K Followers 893 Following Founder and CEO @Petabridge @getsdkbin @textforgeapp OSS: @AkkaDotNet and https://t.co/i2Pc96fVg4 Catch me on YouTube: https://t.co/gUNvkaNuAS
Juan Fernando Pacheco @juanfernandop_
17 Followers 67 Following Business Development Manager at Tata Consultancy Services. *Opinions are my own*
ThreatCockpit - Know ... @ThreatCockpit
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MATT GRAY @matt_gray_
400K Followers 460 Following "The Systems Guy" | The operating system behind 7 to 9-figure founder brands. Founder & CEO @founderos
Mario Santamaría @MarioLectorEC
488 Followers 456 Following Lector contumaz (más que publicar, leo, a veces opino de ideas que llaman mi atención, también reenvío tweets que me parecen interesantes)
Peyman Milanfar @docmilanfar
118K Followers 615 Following Distinguished Scientist at Google. National Academy of Engineering. Computational Imaging ∩ AI. Posts are personal opinions
🇪🇨 𝗦𝗼𝘆... @QuitenaLibre
420 Followers 760 Following Antirrobolucionarios. ¡Unámonos por un Ecuador de paz, justicia, democracia y libertad, sin impunidad! 🚫NO DM🚫 #DanielNoboaPresidente ❶❶❶❶
























