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Hard-coded surface levels break the moment you nest a popover inside a dialog. Fluid Functionalism Surfaces fixes this with 8 substrate-aware levels — components read their depth from context and lift relative to it. Light mode, dark mode, any depth. One primitive. Zero props passed between layers. (Open Source)

Micka

3,553 subscribers

28,372 次观看 • 3 个月前 •via X (Twitter)

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AI Mode in Search introduces new reasoning and tools under the hood with a custom version of Gemini models. For any question, it makes a plan, breaks it down into related subtopics, and runs multiple Google searches to find the most helpful and reliable info. With this query fan-out, AI Mode finds real-time info from both the web and from Google, like facts from our Knowledge Graph, info about the real-world, and shopping details on billions of products. This approach helps you get a greater breadth and depth of information than a traditional search on Google.

AI Mode in Search introduces new reasoning and tools under the hood with a custom version of Gemini models. For any question, it makes a plan, breaks it down into related subtopics, and runs multiple Google searches to find the most helpful and reliable info. With this query fan-out, AI Mode finds real-time info from both the web and from Google, like facts from our Knowledge Graph, info about the real-world, and shopping details on billions of products. This approach helps you get a greater breadth and depth of information than a traditional search on Google.

Robby Stein

38,633 次观看 • 1 年前

The robot’s “eyes” just received a big upgrade. LingBot-Depth 2.0, a depth-completion model with half the depth error just dropped. 12/16 benchmarks topped. Glass, mirrors, and transparent objects are so easy for us humans, but so hard for robots, because they do not behave like ordinary surfaces in a camera pipeline. A robot that misunderstands a balcony window or a table edge, will have a completely false planning inside a false world. Huge implecation. LingBot-Depth 2.0 takes an RGB image plus a broken depth map from a sensor and then outputs a cleaner depth map and a usable 3D point cloud. Numbers on LingBot-Depth 2.0 - Excels on glass, mirrors & transparent objects — where traditional depth cameras fail - Training data: 3M → 150M (50x scale-up) - 12 out of 16 first-place rankings on depth completion benchmarks - RMSE cut in half: 0.132 → 0.062 on the hardest indoor scenes LingBot-Vision trained on boundaries, because object edges carry the geometry robots need. No human boundary labels are used, which makes this approach easier to scale. The open-sourced LingBot-Vision is the general vision backbone, and LingBot-Depth 2.0 is the depth model built on it.

The robot’s “eyes” just received a big upgrade. LingBot-Depth 2.0, a depth-completion model with half the depth error just dropped. 12/16 benchmarks topped. Glass, mirrors, and transparent objects are so easy for us humans, but so hard for robots, because they do not behave like ordinary surfaces in a camera pipeline. A robot that misunderstands a balcony window or a table edge, will have a completely false planning inside a false world. Huge implecation. LingBot-Depth 2.0 takes an RGB image plus a broken depth map from a sensor and then outputs a cleaner depth map and a usable 3D point cloud. Numbers on LingBot-Depth 2.0 - Excels on glass, mirrors & transparent objects — where traditional depth cameras fail - Training data: 3M → 150M (50x scale-up) - 12 out of 16 first-place rankings on depth completion benchmarks - RMSE cut in half: 0.132 → 0.062 on the hardest indoor scenes LingBot-Vision trained on boundaries, because object edges carry the geometry robots need. No human boundary labels are used, which makes this approach easier to scale. The open-sourced LingBot-Vision is the general vision backbone, and LingBot-Depth 2.0 is the depth model built on it.

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READ BETWEEN THE LINES Maduro, Venezuela have been in full control of CIA for a long time Trump hit Maduro regime with hard sanctions starting in 2017 At the highest levels it has been controlled by the good guys and now we are seeing the clean up operations at the local levels taking place hence the surge in arrests Drug operations always come from a source, these operations are all connected and easy now for the authorities to dismantle them all People have to realise CIA are the brains behind the take down of the dark cartel mafia worldwide #harrythesoulcoach #donaldtrump #maduro #venezuela🇻🇪 #truth

READ BETWEEN THE LINES Maduro, Venezuela have been in full control of CIA for a long time Trump hit Maduro regime with hard sanctions starting in 2017 At the highest levels it has been controlled by the good guys and now we are seeing the clean up operations at the local levels taking place hence the surge in arrests Drug operations always come from a source, these operations are all connected and easy now for the authorities to dismantle them all People have to realise CIA are the brains behind the take down of the dark cartel mafia worldwide #harrythesoulcoach #donaldtrump #maduro #venezuela🇻🇪 #truth

Harry The Soul Coach

99,038 次观看 • 9 个月前

I plugged ChatGPT Luna 5.6 and Claude Opus 5 into Blender through MCP, and one of them is one-shotting entire 3D scenes now. Top is Luna 5.6 in fast mode modeling ship cannons with a firing animation. Watching the scene grow mesh by mesh in real time is a separate kind of dopamine. Bottom is Opus 5 building a full carriage scene with terrain, rocks and lighting. This one is simply built for 3D -- the whole thing from a single prompt with zero retries and zero corrections. The entire bridge is one open-source repo, no Python and no modeling skills required: > The repo is with 16.9k stars under MIT license. > It works with any model -- Claude, GPT, Cursor, any MCP client. > The model sees your scene through a live socket and edits it in real time. A year ago this workflow didn't exist, and now the gap between an idea and a rendered 3D scene is one prompt. Save this one -- you will come back for the repo ↓

I plugged ChatGPT Luna 5.6 and Claude Opus 5 into Blender through MCP, and one of them is one-shotting entire 3D scenes now. Top is Luna 5.6 in fast mode modeling ship cannons with a firing animation. Watching the scene grow mesh by mesh in real time is a separate kind of dopamine. Bottom is Opus 5 building a full carriage scene with terrain, rocks and lighting. This one is simply built for 3D -- the whole thing from a single prompt with zero retries and zero corrections. The entire bridge is one open-source repo, no Python and no modeling skills required: > The repo is with 16.9k stars under MIT license. > It works with any model -- Claude, GPT, Cursor, any MCP client. > The model sees your scene through a live socket and edits it in real time. A year ago this workflow didn't exist, and now the gap between an idea and a rendered 3D scene is one prompt. Save this one -- you will come back for the repo ↓

slash1s

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Have you used quantization with an open source machine learning library, and wondered how quantization works? How can you preserve model accuracy as you compress from 32 bits to 16, 8, or even 2 bits? In our new short course, Quantization in Depth, taught by Hugging Face's Marc Sun and @younesbelkada, you'll learn to implement variants of linear quantization, such as asymmetric and symmetric modes, from scratch. You'll also quantize at different granularities (per-tensor, per-channel, per-group) to maintain performance. You’ll then construct a quantizer to compress any open source deep learning model’s dense layers to 8-bit precision. Finally, you’ll practice quantizing weights into 2 bits by packing four 2-bit weights into a single 8-bit integer. If you've ever run a large open source model on your laptop, you've likely benefited from someone's work in quantization. Come learn how this key technique works under the hood! Please sign up here:

Andrew Ng

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This Interview is the Reason I have Zero issues with Nicki’s Tweets! They’re open Dialogue & Transparency! Nicki told us 3 years ago to use our brains because there’s a lot of things SHE CANT MENTION for a lot of reasons but judging from today, No one puts their mind to use anymore! Being a “Depth Level Thinker” in a world full of “Surface Level Thinkers”, I get Nicki’s Frustration! Nicki Minaj & Joe Budden, Incase you both forgot about this, We need you two in a room together like this or on a Live, Free of distractions & Outside opinions to give us the “Open Dialogue” that you discussed In this video. 🙏🏾

This Interview is the Reason I have Zero issues with Nicki’s Tweets! They’re open Dialogue & Transparency! Nicki told us 3 years ago to use our brains because there’s a lot of things SHE CANT MENTION for a lot of reasons but judging from today, No one puts their mind to use anymore! Being a “Depth Level Thinker” in a world full of “Surface Level Thinkers”, I get Nicki’s Frustration! Nicki Minaj & Joe Budden, Incase you both forgot about this, We need you two in a room together like this or on a Live, Free of distractions & Outside opinions to give us the “Open Dialogue” that you discussed In this video. 🙏🏾

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Hermes Release Watch

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That’s movie-level weird. The girl is walking this robot dog on a leash at the AI for Good Summit in Geneva. Its a real personal humanoid robot. This can move from four legs to resembling a person. It can walk and climb, but it also seems able to follow you around and help you, like a drone. Since all the home robots are one body, many of them get stuck on stairs and slopes. The T1 avoids this by being able to fold from a standing figure into a low, four-legged shape. It can climb up and down 18 centimeter steps and 35 degree slopes both inside and outside in dog mode. In human mode, it quietly follows your movements, standing by your side like a friend. So now one machine can do both smooth and rough surfaces, and the odd space in between. The PrimeBOT calls it the T1 . You can add your own behaviors on top of it to make it a robot . Height 80 cm. It will fit in a back pack. Not for the laboratory or the factory, but for personal use.

That’s movie-level weird. The girl is walking this robot dog on a leash at the AI for Good Summit in Geneva. Its a real personal humanoid robot. This can move from four legs to resembling a person. It can walk and climb, but it also seems able to follow you around and help you, like a drone. Since all the home robots are one body, many of them get stuck on stairs and slopes. The T1 avoids this by being able to fold from a standing figure into a low, four-legged shape. It can climb up and down 18 centimeter steps and 35 degree slopes both inside and outside in dog mode. In human mode, it quietly follows your movements, standing by your side like a friend. So now one machine can do both smooth and rough surfaces, and the odd space in between. The PrimeBOT calls it the T1 . You can add your own behaviors on top of it to make it a robot . Height 80 cm. It will fit in a back pack. Not for the laboratory or the factory, but for personal use.

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THIS GUY BUILT A COMMAND CENTER FOR MANAGING AI AGENT TEAMS he was running 20+ agents through openclaw. all from terminal tabs and Discord. 12 tabs open. still losing track of who's doing what. which cron failed. so he built a dashboard that gives you one place to see everything: > org map showing the full agent hierarchy, who reports to who and what tools each agent has > chat with any agent through a real UI instead of bouncing between terminals > kanban board for tracking tasks across all agents > cron monitor with pipeline visualizations so you can see which jobs are failing > memory browser to read through all agent knowledge files in one place you can even point it at your openclaw workspace and it auto-discovers every agent from their config files. zero setup. AND ITS OPEN SOURCE TOO.

Om Patel

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Today, we're excited to release the Heptabase CLI — a new way for external AI agents to interact with your local Heptabase knowledge base from the terminal. Once enabled (Settings > AI Features > CLI), any AI coding agent (e.g., Claude Code, Codex) can: - Create, read, and edit note cards and journals - Search your Card Library - Manage tags - Read your AI Tutor courses, lessons, and chat history This is just the first step; we'll keep expanding the CLI surface so AI agents can act on your knowledge at the same depth that you can. If you build something interesting with it, feel free to share with our community!

Today, we're excited to release the Heptabase CLI — a new way for external AI agents to interact with your local Heptabase knowledge base from the terminal. Once enabled (Settings > AI Features > CLI), any AI coding agent (e.g., Claude Code, Codex) can: - Create, read, and edit note cards and journals - Search your Card Library - Manage tags - Read your AI Tutor courses, lessons, and chat history This is just the first step; we'll keep expanding the CLI surface so AI agents can act on your knowledge at the same depth that you can. If you build something interesting with it, feel free to share with our community!

Heptabase

14,894 次观看 • 4 个月前

🎓Learn how to create a powerful Worn Leather smart material in a matter of seconds in my latest video series (AAA) Pro Tips! This smart material can be used on virtually any 3D asset. ____________________________________________________ In this video, the steps are as follows: 1. Create a fill layer with a black mask applied. Inside its mask paint a simple pill shape and use a blur slope filter to introduce some random shapes. Apply a marble veins fill layer on top with its blending mode set to color burn. Apply a warp filter as well to introduce some randomness followed by an anchorpoint. 2. Create another fill layer using the same technique to apply some dirt in the crevices of the wear. 3. Next, Inside the main fill layer apply a tiling raw leather texture to its Color and roughness channel 4. Create an additional fill layer up top and apply a black mask to it.Inside this mask retrieve the anchorpoint information followed by a blur filter with a value of 6. Use a levels to increase the spread of the mask. Apply another marble veins matching the values of the marble veins fill layer that we previously added and set its blending mode to multiply. Lastly retrieve the anchorpoint information from the previous fill layer again but this time set its blending mode to subtract. This fill layers properties should have a dark diffuse color and a matte roughness. 5. Add another fill layer with a bright diffuse and height properties with a black mask applied to it. Inside its mask retrieve the anchorpoint information again followed by a blur slope. Apply the anchorpoint information again but this time set its blending mode to subtract. Now we have a worn leather effect wherever we paint using the paint layer created inside the callout mask! ____________________________________________________ More AAA Game Dev Tips can be found on my YouTube channel here: Stay tuned for more weekly Tips! Happy Texturing!💚 #gamedev #gameart #3dmodeling #3dartist #texturing #UE5 #unity #artstation

🎓Learn how to create a powerful Worn Leather smart material in a matter of seconds in my latest video series (AAA) Pro Tips! This smart material can be used on virtually any 3D asset. In this video, the steps are as follows: 1. Create a fill layer with a black mask applied. Inside its mask paint a simple pill shape and use a blur slope filter to introduce some random shapes. Apply a marble veins fill layer on top with its blending mode set to color burn. Apply a warp filter as well to introduce some randomness followed by an anchorpoint. 2. Create another fill layer using the same technique to apply some dirt in the crevices of the wear. 3. Next, Inside the main fill layer apply a tiling raw leather texture to its Color and roughness channel 4. Create an additional fill layer up top and apply a black mask to it.Inside this mask retrieve the anchorpoint information followed by a blur filter with a value of 6. Use a levels to increase the spread of the mask. Apply another marble veins matching the values of the marble veins fill layer that we previously added and set its blending mode to multiply. Lastly retrieve the anchorpoint information from the previous fill layer again but this time set its blending mode to subtract. This fill layers properties should have a dark diffuse color and a matte roughness. 5. Add another fill layer with a bright diffuse and height properties with a black mask applied to it. Inside its mask retrieve the anchorpoint information again followed by a blur slope. Apply the anchorpoint information again but this time set its blending mode to subtract. Now we have a worn leather effect wherever we paint using the paint layer created inside the callout mask! More AAA Game Dev Tips can be found on my YouTube channel here: Stay tuned for more weekly Tips! Happy Texturing!💚 #gamedev #gameart #3dmodeling #3dartist #texturing #UE5 #unity #artstation

Cohen Brawley

88,726 次观看 • 2 年前

fine, i'll build it myself, open source ofc Launching Three-Maps, a rapid blockout editor for building game maps for threejs games: Create a floor plan in 2D, automatically generate 3D levels from it, edit them, export to .glb and use in your games (see end of video) Features: - Floorplan 2D: A 2D canvas to map out the floor - Edit Mode for Objects: Edit Vertices/Edges/Faces, extrude, bevel, fillet and chamfer - Brush Mode: Rapidly build map elements with a RealtimeCSG like experience. Cubes, Stairs, Doors, Arch, Cylinder, Custom polygons. Yes, you can even curve the stairs - Modifiers: Yes, you read that right, slap that array modifier on your pillar and call it a day - Terrain Generator: Perlin, Voronoi, you name it. Oh yes, you can rasterize it and edit every single vertex in edit mode. Keyboard shortcuts are mostly same as blender to activate that muscle memory (G/R/S, axis lock XYZ) Soon: - AI integration. Boot that MCP and directly connect your fav AI agent to build the floorplan, generate 3D maps and more (you will love how this movie ends) It's a little rough and in early, very early alpha so come and join as a contributor instead of calling it slop It's all vibe coded btw, i have no idea what the code does I need this to build my game, as i'm a total blender noob and threejs is great, so why not? Outshipping every CAD and 3D startup just because i want to build a game, that's how you accelerate

fine, i'll build it myself, open source ofc Launching Three-Maps, a rapid blockout editor for building game maps for threejs games: Create a floor plan in 2D, automatically generate 3D levels from it, edit them, export to .glb and use in your games (see end of video) Features: - Floorplan 2D: A 2D canvas to map out the floor - Edit Mode for Objects: Edit Vertices/Edges/Faces, extrude, bevel, fillet and chamfer - Brush Mode: Rapidly build map elements with a RealtimeCSG like experience. Cubes, Stairs, Doors, Arch, Cylinder, Custom polygons. Yes, you can even curve the stairs - Modifiers: Yes, you read that right, slap that array modifier on your pillar and call it a day - Terrain Generator: Perlin, Voronoi, you name it. Oh yes, you can rasterize it and edit every single vertex in edit mode. Keyboard shortcuts are mostly same as blender to activate that muscle memory (G/R/S, axis lock XYZ) Soon: - AI integration. Boot that MCP and directly connect your fav AI agent to build the floorplan, generate 3D maps and more (you will love how this movie ends) It's a little rough and in early, very early alpha so come and join as a contributor instead of calling it slop It's all vibe coded btw, i have no idea what the code does I need this to build my game, as i'm a total blender noob and threejs is great, so why not? Outshipping every CAD and 3D startup just because i want to build a game, that's how you accelerate

robot 2.0

106,664 次观看 • 6 个月前

Avatar: Frontiers of Pandora impressions after 15 hours: • One of the best looking games I've ever seen • Rock solid performance on PS5 • Third person mode was done very well, you really feel like a Na'vi running around • Solid story with lots of lore for Avatar fans • Third person gameplay is reminscent of Horizon but with firearms • Some light exploration. Open world content is not marked on the map unless you get a hint from an NPC. • Gathering resources is a heavy focus for crafting better gear and food • Plants and materials can have different quality levels depending on the conditions (i.e. to get a 'Pristine' one, you may have to pick it while it's raining or during the night) • Movement and traversal feels good, fast paced and fluid • Combat feels good and is mostly centered around ranged weapons • You can hack devices and enemy bots to disable them and target their weak spot Overall, if you like the idea of exploring a vast and stunning open world while immersing yourself in the world of Avatar - don't sleep on this. It's not as much of a traditional 'Ubisoft open world' game as I was expecting which is a pleasant surprise (no towers for example). #Avatar #AvatarFrontiersofPandora #AvatarFireAndAsh

KAMI

1,709,857 次观看 • 8 个月前

THIS GUY MADE CLAUDE CODE AND CODEX TALK TO EACH OTHER not by switching between them, they literally talk to each other about your code in real time you give it a task. it spawns a Claude agent and a Codex agent in separate sessions. they share findings, challenge each other, and produce a combined result. he pointed them at an Express API with intentional security issues. within minutes they found SQL injection, hardcoded secrets, missing auth, and weak JWT config. one catches something and the other confirms it and adds context. they divide the work on their own for faster speed one command: /collab "review auth.js for security issues" that's it. you watch the conversation happen in real time. AND its open source with new models being integrated crazy to think that this was entirely vibe coded

THIS GUY MADE CLAUDE CODE AND CODEX TALK TO EACH OTHER not by switching between them, they literally talk to each other about your code in real time you give it a task. it spawns a Claude agent and a Codex agent in separate sessions. they share findings, challenge each other, and produce a combined result. he pointed them at an Express API with intentional security issues. within minutes they found SQL injection, hardcoded secrets, missing auth, and weak JWT config. one catches something and the other confirms it and adds context. they divide the work on their own for faster speed one command: /collab "review auth.js for security issues" that's it. you watch the conversation happen in real time. AND its open source with new models being integrated crazy to think that this was entirely vibe coded

Om Patel

25,318 次观看 • 5 个月前

🎓 Learn how to create a Cherry Wood Material in a matter of seconds in my latest video series (AAA) Pro Tips! ____________________________________________________ In this video, the steps are as follows: 1. Create a slightly red-colored fill layer with high gloss to act as the woods base material. 2. Add a second fill layer with a black mask, and inside that mask add a stripes greyscale set to planar projection. These stripes will act as the wood rings and should be projected onto your mesh in a natural way. The stripes should also be set to max softness, and followed by a Directional Noise 3 with a blend mode set to Difference. 3. Add a levels to tweak the mask and add an anchor point to the mask as well. 4. Create another fill layer with a dark brown diffuse, and store the information from the anchor point into its mask. Apply a levels to increase its intensity, and then add a fill layer up top with the anchorpoint information applied again, but set its blending mode to Subtract. 5. Create an additional fill layer with a very dark diffuse channel. Add a mask to the fill layer and inside its mask add a fill layer containing the anchorpoint information, from the Wood Rings. This fill layer can now be used to add some dark contrast to the center of the wood rings 6. A warp filter should also be used to apply some subtle imperfections to the wood rings and grain. Now we are left with a very nice result of Cherry wood! ____________________________________________________ More AAA Game Dev Tips can be found on my YouTube channel here: Stay tuned for more weekly Tips. Let me know below what you would like to learn in future videos! 👇 Happy Texturing! 💚 #gameart #texturing

🎓 Learn how to create a Cherry Wood Material in a matter of seconds in my latest video series (AAA) Pro Tips! In this video, the steps are as follows: 1. Create a slightly red-colored fill layer with high gloss to act as the woods base material. 2. Add a second fill layer with a black mask, and inside that mask add a stripes greyscale set to planar projection. These stripes will act as the wood rings and should be projected onto your mesh in a natural way. The stripes should also be set to max softness, and followed by a Directional Noise 3 with a blend mode set to Difference. 3. Add a levels to tweak the mask and add an anchor point to the mask as well. 4. Create another fill layer with a dark brown diffuse, and store the information from the anchor point into its mask. Apply a levels to increase its intensity, and then add a fill layer up top with the anchorpoint information applied again, but set its blending mode to Subtract. 5. Create an additional fill layer with a very dark diffuse channel. Add a mask to the fill layer and inside its mask add a fill layer containing the anchorpoint information, from the Wood Rings. This fill layer can now be used to add some dark contrast to the center of the wood rings 6. A warp filter should also be used to apply some subtle imperfections to the wood rings and grain. Now we are left with a very nice result of Cherry wood! More AAA Game Dev Tips can be found on my YouTube channel here: Stay tuned for more weekly Tips. Let me know below what you would like to learn in future videos! 👇 Happy Texturing! 💚 #gameart #texturing

Cohen Brawley

25,219 次观看 • 2 年前

MIT filmed a mathematician proving the theorem behind every equation Maxwell ever wrote. Most engineers use it daily without understanding why any surface gives the same answer - and the ones who can explain it earn $350K at aerospace firms. Stokes' theorem is the reason Maxwell could write four equations instead of forty. Every result in electromagnetism, fluid mechanics, and differential geometry sits on top of it. Understanding it changes how you see every circulation and flux problem in physics. This is Denis Auroux. MIT, 18.02, Multivariable Calculus, Fall 2007. Lecture 31. It covers Stokes' theorem - the result that unifies line integrals, surface integrals, and curl into one statement. He opens with one confession. Then the statement. The work done by a vector field along any closed curve equals the flux of its curl through any surface bounded by that curve. Not a specific surface. Any surface you want. You pick whichever one makes the calculation easier. Then Green's theorem disappears. The result from the plane that converts line integrals to double integrals turns out to be Stokes' theorem in disguise. Same formula, restricted to a flat surface in the xy-plane. What looked like two separate theorems is one. Then orientation. Walk along the curve with the surface to your left and the normal vector points up. This rule is not chosen for elegance. It is the price of having a consistent coordinate system in three dimensions. Then the proof. Cut your surface into tiny flat tiles. Apply Green's theorem to each one. Sum everything up. All interior boundary edges cancel. Only the outer edge survives. The sum of tiny Green's theorems gives you Stokes' theorem for any surface. Watch the moment he computes the same line integral two ways. First directly - answer is pi. Then through a paraboloid instead of the obvious flat disk. Longer calculation, stranger setup, same answer. The theorem is not an abstraction. You can watch it work. A fluid dynamics engineer I know kept this lecture open during their first week modeling atmospheric circulation. Said it was the first time Stokes felt like a tool rather than a formula to verify on exams. Free on YouTube, MIT OpenCourseWare, 18.02. bookmark this and watch later - after this lecture every circulation, every flux, and every curl you encounter will feel like three views of the same object

MIT filmed a mathematician proving the theorem behind every equation Maxwell ever wrote. Most engineers use it daily without understanding why any surface gives the same answer - and the ones who can explain it earn $350K at aerospace firms. Stokes' theorem is the reason Maxwell could write four equations instead of forty. Every result in electromagnetism, fluid mechanics, and differential geometry sits on top of it. Understanding it changes how you see every circulation and flux problem in physics. This is Denis Auroux. MIT, 18.02, Multivariable Calculus, Fall 2007. Lecture 31. It covers Stokes' theorem - the result that unifies line integrals, surface integrals, and curl into one statement. He opens with one confession. Then the statement. The work done by a vector field along any closed curve equals the flux of its curl through any surface bounded by that curve. Not a specific surface. Any surface you want. You pick whichever one makes the calculation easier. Then Green's theorem disappears. The result from the plane that converts line integrals to double integrals turns out to be Stokes' theorem in disguise. Same formula, restricted to a flat surface in the xy-plane. What looked like two separate theorems is one. Then orientation. Walk along the curve with the surface to your left and the normal vector points up. This rule is not chosen for elegance. It is the price of having a consistent coordinate system in three dimensions. Then the proof. Cut your surface into tiny flat tiles. Apply Green's theorem to each one. Sum everything up. All interior boundary edges cancel. Only the outer edge survives. The sum of tiny Green's theorems gives you Stokes' theorem for any surface. Watch the moment he computes the same line integral two ways. First directly - answer is pi. Then through a paraboloid instead of the obvious flat disk. Longer calculation, stranger setup, same answer. The theorem is not an abstraction. You can watch it work. A fluid dynamics engineer I know kept this lecture open during their first week modeling atmospheric circulation. Said it was the first time Stokes felt like a tool rather than a formula to verify on exams. Free on YouTube, MIT OpenCourseWare, 18.02. bookmark this and watch later - after this lecture every circulation, every flux, and every curl you encounter will feel like three views of the same object

Zyphor

11,286 次观看 • 13 天前

"There seems to be six levels to the DMT experience — each with their own characteristic mathematical properties." "On DMT, you go from a three-fold rotation, to a four-fold, to a six-fold rotation. The symmetries become more packed as the dose increases." "Pleasure has a mathematical shape. We are essentially making the bet that there's a very, very tight correlation between the symmetry of this mathematical object and how good or bad an experience feels." One of my favourite episodes I've ever done with Giant Captain Pleasure, Andrés Gómez Emilsson. Check it out, you won't regret it 🙏

"There seems to be six levels to the DMT experience — each with their own characteristic mathematical properties." "On DMT, you go from a three-fold rotation, to a four-fold, to a six-fold rotation. The symmetries become more packed as the dose increases." "Pleasure has a mathematical shape. We are essentially making the bet that there's a very, very tight correlation between the symmetry of this mathematical object and how good or bad an experience feels." One of my favourite episodes I've ever done with Giant Captain Pleasure, Andrés Gómez Emilsson. Check it out, you won't regret it 🙏

Evan McGloughlin

87,233 次观看 • 4 个月前

Just built a full Pomodoro app in one prompt And I own every line of the code Most AI app builders trap your project inside their platform. You build something cool, then you're locked in forever. Cancel your sub and watch your app die Marlow flips this on its head You describe what you want. It builds it. Then you export the code and deploy wherever you want No walled garden. No lock in. Actual ownership. Here's the exact prompt I used: "Build a premium-looking Pomodoro focus app inspired by Apple's minimalist design language. The interface should feel calm, polished, and extremely simple. Create a large animated circular timer in the center showing: 25:00 Below it, show the task the user is currently working on. Include: - Start - Pause - Reset - Skip session - Focus/Break indicator - Daily session count - Current streak Allow users to customize focus and break durations. Add smooth transitions when switching between focus and break modes. Include both light mode and dark mode. Avoid unnecessary menus, cards, gradients, or visual clutter." What came out was cleaner than 90% of the Pomodoro apps on the App Store This is the model every AI builder should be copying Speed AND ownership. Not speed at the cost of ownership. Try it at

Just built a full Pomodoro app in one prompt And I own every line of the code Most AI app builders trap your project inside their platform. You build something cool, then you're locked in forever. Cancel your sub and watch your app die Marlow flips this on its head You describe what you want. It builds it. Then you export the code and deploy wherever you want No walled garden. No lock in. Actual ownership. Here's the exact prompt I used: "Build a premium-looking Pomodoro focus app inspired by Apple's minimalist design language. The interface should feel calm, polished, and extremely simple. Create a large animated circular timer in the center showing: 25:00 Below it, show the task the user is currently working on. Include: - Start - Pause - Reset - Skip session - Focus/Break indicator - Daily session count - Current streak Allow users to customize focus and break durations. Add smooth transitions when switching between focus and break modes. Include both light mode and dark mode. Avoid unnecessary menus, cards, gradients, or visual clutter." What came out was cleaner than 90% of the Pomodoro apps on the App Store This is the model every AI builder should be copying Speed AND ownership. Not speed at the cost of ownership. Try it at

Hasan Toor

13,717 次观看 • 27 天前