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This week’s ChatGPT feature drop - Aug 21: Another Friday, another roundup of what we shipped this week: 1/ Recent photos: Long press on + menu to quickly attach recents on iOS - this is a fun, power user feature. just beautiful design! also a handy shortcut. 2/ Time:...

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Adam Fry

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360,662 görüntüleme • 5 gün önce •via X (Twitter)

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This week's ChatGPT feature drop - Aug 7: 1/ Rich formatting in our web composer – When you paste in emails or documents, our composer will retain the formatting; copying and pasting is so common, we should have done this a while ago! 2/ Updated model for paid users – GPT 5.6 Sol is more consistent across quick chats and deeper reasoning. You'll now get a slider that lets you choose how much thought ChatGPT puts into a response. The haptics (vibrations) on mobile slider are fun! 3/ Unlimited text messages - Free users will get GPT 5.6 Luna with unlimited text messages. More intelligence for all. Rolling out soon. 4/ Fast Android Camera – We've made it a lot faster on Android to tap "camera" in ChatGPT to take a new photo and ask a question. 5/ Voice x Files - You can now upload files and ask questions in our new ChatGPT voice experience powered by GPT-Live. Team demos were awesome this week. So much in the queue that the next few months are going to be good. Let us know what you're hoping for in the comments!
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This week's ChatGPT feature drop - Aug 7: 1/ Rich formatting in our web composer – When you paste in emails or documents, our composer will retain the formatting; copying and pasting is so common, we should have done this a while ago! 2/ Updated model for paid users – GPT 5.6 Sol is more consistent across quick chats and deeper reasoning. You'll now get a slider that lets you choose how much thought ChatGPT puts into a response. The haptics (vibrations) on mobile slider are fun! 3/ Unlimited text messages - Free users will get GPT 5.6 Luna with unlimited text messages. More intelligence for all. Rolling out soon. 4/ Fast Android Camera – We've made it a lot faster on Android to tap "camera" in ChatGPT to take a new photo and ask a question. 5/ Voice x Files - You can now upload files and ask questions in our new ChatGPT voice experience powered by GPT-Live. Team demos were awesome this week. So much in the queue that the next few months are going to be good. Let us know what you're hoping for in the comments!

Adam Fry

358,550 görüntüleme • 19 gün önce

This week's ChatGPT new feature drop - June 26: 1/ New dictation model – more accurate at transcribing languages and accents and in particular Japanese, Korean, Chinese, Urdu, Vietnamese 2/ Refreshed 'composer' on the web – in particular a new Plus (+) menu and type @ to quickly connect to services like Gmail, add images or search the web. 3/ New 5.5 instant model - Improvements shipped yesterday; should feel smarter generally 4/ Polish to our sidebar on mobile – we simplified it, refreshed icons and typography, and it now opens above the conversation without fully covering it The team is shipping weekly improvements to Chat, and we listen to all the feedback so keep sharing!
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This week's ChatGPT new feature drop - June 26: 1/ New dictation model – more accurate at transcribing languages and accents and in particular Japanese, Korean, Chinese, Urdu, Vietnamese 2/ Refreshed 'composer' on the web – in particular a new Plus (+) menu and type @ to quickly connect to services like Gmail, add images or search the web. 3/ New 5.5 instant model - Improvements shipped yesterday; should feel smarter generally 4/ Polish to our sidebar on mobile – we simplified it, refreshed icons and typography, and it now opens above the conversation without fully covering it The team is shipping weekly improvements to Chat, and we listen to all the feedback so keep sharing!

Adam Fry

130,160 görüntüleme • 2 ay önce

I'm not an engineer, but I rebuilt Savee — the app a million designers use Friday, 5pm. I asked Claude how much work it would take to rebuild our iOS app fully native. It had been sitting on our someday list for years, waiting for a team we didn't have. I stopped waiting and built it myself — a designer with Claude Code, one feature at a time. Claude wrote the Swift; I answered with the feedback designers give: two points left, lighter tint, that corner radius is wrong. Another round. And another. 33 days from the first prompt to live on the App Store. 1,078 prompts. Three releases in the first week. Something changed for designers. The distance between an idea and shipping used to be a team, a budget, and a year. Now it's a conversation. Savee 3.0 is out. It's the app I always wanted us to have 🚀
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I'm not an engineer, but I rebuilt Savee — the app a million designers use Friday, 5pm. I asked Claude how much work it would take to rebuild our iOS app fully native. It had been sitting on our someday list for years, waiting for a team we didn't have. I stopped waiting and built it myself — a designer with Claude Code, one feature at a time. Claude wrote the Swift; I answered with the feedback designers give: two points left, lighter tint, that corner radius is wrong. Another round. And another. 33 days from the first prompt to live on the App Store. 1,078 prompts. Three releases in the first week. Something changed for designers. The distance between an idea and shipping used to be a team, a budget, and a year. Now it's a conversation. Savee 3.0 is out. It's the app I always wanted us to have 🚀

Andre do Amaral

163,824 görüntüleme • 1 ay önce

I've always been a big fan of Freeez's I.O.U. It's one of those records that helped shape dance music without a lot of people even realizing it. 🔥 So when KRYDER, The Young Punx and I started working on AEIOU, the goal wasn't to recreate an '80s classic, but to build on what made it so special and turn it into something that feels fresh on today's dancefloors. I've been playing this one out for a while now and it's always been a lot of fun to see the reactions. AEIOU is out this week on Heldeep Records 😎❤️
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I've always been a big fan of Freeez's I.O.U. It's one of those records that helped shape dance music without a lot of people even realizing it. 🔥 So when KRYDER, The Young Punx and I started working on AEIOU, the goal wasn't to recreate an '80s classic, but to build on what made it so special and turn it into something that feels fresh on today's dancefloors. I've been playing this one out for a while now and it's always been a lot of fun to see the reactions. AEIOU is out this week on Heldeep Records 😎❤️

Oliver Heldens 🕺🏻🙌✨/💹🧲

13,604 görüntüleme • 1 ay önce

Today is the birthday of the great Malcolm X. His message is still relevant today because we still live under the same capitalist system that has to change for things to get better. “You’re living at a time of revolution. A time where there’s got to be a change. People in power have misused it. And now there has to be a change and a better world has to be built. I will join with anyone, I don’t care what color you are, as long as you want to change this miserable condition that exists on this earth.”
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Today is the birthday of the great Malcolm X. His message is still relevant today because we still live under the same capitalist system that has to change for things to get better. “You’re living at a time of revolution. A time where there’s got to be a change. People in power have misused it. And now there has to be a change and a better world has to be built. I will join with anyone, I don’t care what color you are, as long as you want to change this miserable condition that exists on this earth.”

Power to the People ☭🕊

31,959 görüntüleme • 3 ay önce

I was mocked because I threw a huge party when Arsenal lost the league the first time, mocked again when I continued doing the event the second time we lost. I was mocked even more the third time as my community grew. What people don’t understand is that I built loyal attendees when it was harder to. We built this community when things were rough for Arsenal. Another thing is that, we grew. This is all organic. We are about to create history on Sunday and it won’t be a fluke. It will be about early investment. Investing in stocks so low that you get mocked for it. Learn to invest early and stick to your investment no matter what!
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I was mocked because I threw a huge party when Arsenal lost the league the first time, mocked again when I continued doing the event the second time we lost. I was mocked even more the third time as my community grew. What people don’t understand is that I built loyal attendees when it was harder to. We built this community when things were rough for Arsenal. Another thing is that, we grew. This is all organic. We are about to create history on Sunday and it won’t be a fluke. It will be about early investment. Investing in stocks so low that you get mocked for it. Learn to invest early and stick to your investment no matter what!

Leo Dasilva

110,969 görüntüleme • 3 ay önce

Introducing Extend UI — open-source components for document agents - 14 components & examples for PDF, DOCX, and XLSX viewers, plus bounding box citations, file upload, e-signature, and more - fully customizable - MIT licensed when we started, we tried every file viewer and document component library we could find unfortunately, none of them had all the functionality (and polish) that we wanted, so we ended up building our own for Extend it was only ever meant to be internal, but enough customers kept asking for it that we decided to give it back to the community it's useful for building agents, user-facing document flows, or internal tools we use and maintain it for Extend ourselves, so it'll keep getting better over time (and it's battle tested on millions of pages running through our system every day) it also works with design system agents like Magic Patterns for faster exploration and prototyping available today on the shadcn component registry! some examples in 🧵
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Introducing Extend UI — open-source components for document agents - 14 components & examples for PDF, DOCX, and XLSX viewers, plus bounding box citations, file upload, e-signature, and more - fully customizable - MIT licensed when we started, we tried every file viewer and document component library we could find unfortunately, none of them had all the functionality (and polish) that we wanted, so we ended up building our own for Extend it was only ever meant to be internal, but enough customers kept asking for it that we decided to give it back to the community it's useful for building agents, user-facing document flows, or internal tools we use and maintain it for Extend ourselves, so it'll keep getting better over time (and it's battle tested on millions of pages running through our system every day) it also works with design system agents like Magic Patterns for faster exploration and prototyping available today on the shadcn component registry! some examples in 🧵

Kushal Byatnal

170,270 görüntüleme • 2 ay önce

#ThoughtForTheDay Getting older is just a part of life, but for a Dog, it's the ultimate test of loyalty. We don't mind the grey on our muzzles or the cloudy eyes, as long as your hand is still there to steady us. We don't need to run for miles anymore; we just need to know that you'll walk at our pace, however slow that may be. If you are lucky enough to have an old Dog waiting for you today, please be gentle. Give them an extra minute to get up, a little boost when the stairs feel like mountains, and all the patience in the world. They spent their whole life rushing to the door for you; now, it's YOUR turn to wait for them. The older #DogsOfTwitter 🐶 ❤️
0:10

#ThoughtForTheDay Getting older is just a part of life, but for a Dog, it's the ultimate test of loyalty. We don't mind the grey on our muzzles or the cloudy eyes, as long as your hand is still there to steady us. We don't need to run for miles anymore; we just need to know that you'll walk at our pace, however slow that may be. If you are lucky enough to have an old Dog waiting for you today, please be gentle. Give them an extra minute to get up, a little boost when the stairs feel like mountains, and all the patience in the world. They spent their whole life rushing to the door for you; now, it's YOUR turn to wait for them. The older #DogsOfTwitter 🐶 ❤️

PROTECT ALL WILDLIFE

12,091 görüntüleme • 1 ay önce

#ThoughtForTheDay Getting older is just a part of life, but for a Dog, it's the ultimate test of loyalty. We don't mind the grey on our muzzles or the cloudy eyes, as long as your hand is still there to steady us. We don't need to run for miles anymore; we just need to know that you'll walk at our pace, however slow that may be. If you are lucky enough to have an old Dog waiting for you today, please be gentle. Give them an extra minute to get up, a little boost when the stairs feel like mountains, and all the patience in the world. They spent their whole life rushing to the door for you; now, it's your turn to wait for them. The older #DogsOfTwitter 🐶 ❤️
0:10

#ThoughtForTheDay Getting older is just a part of life, but for a Dog, it's the ultimate test of loyalty. We don't mind the grey on our muzzles or the cloudy eyes, as long as your hand is still there to steady us. We don't need to run for miles anymore; we just need to know that you'll walk at our pace, however slow that may be. If you are lucky enough to have an old Dog waiting for you today, please be gentle. Give them an extra minute to get up, a little boost when the stairs feel like mountains, and all the patience in the world. They spent their whole life rushing to the door for you; now, it's your turn to wait for them. The older #DogsOfTwitter 🐶 ❤️

PROTECT ALL WILDLIFE

46,519 görüntüleme • 8 ay önce

Microsoft is testing a new feature in Windows 11 called Low Latency Profile that gives a short boost to your CPU for 1 to 3 seconds when you open apps or menus. Early tests show Microsoft apps like Edge and Outlook open up to 40% faster, while the Start menu and other menus can load up to 70% faster, with CPU use jumping high for a few seconds then dropping right back down. Microsoft says this is normal because Apple does it in macOS and Linux, plus phones use the same type of quick CPU boosts for better speed. The feature is only in early Insider testing now, so it is not out for everyone yet.
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Microsoft is testing a new feature in Windows 11 called Low Latency Profile that gives a short boost to your CPU for 1 to 3 seconds when you open apps or menus. Early tests show Microsoft apps like Edge and Outlook open up to 40% faster, while the Start menu and other menus can load up to 70% faster, with CPU use jumping high for a few seconds then dropping right back down. Microsoft says this is normal because Apple does it in macOS and Linux, plus phones use the same type of quick CPU boosts for better speed. The feature is only in early Insider testing now, so it is not out for everyone yet.

Pirat_Nation 🔴

145,459 görüntüleme • 3 ay önce

Before the part ever touches the machine, it's already been built. This is a 5-axis toolpath, programmed in CAM to map every angle, every pass and every cut. When it's ready, that program goes straight to our DMG MORI. The machine rotates and the tool engages. Then, it executes exactly what you see on screen, with extreme precision. Five axes of motion provide complex geometry in a single setup, with better accuracy. This is precision manufacturing for satellites at our factory in Northern California. 🇺🇸
0:13

Before the part ever touches the machine, it's already been built. This is a 5-axis toolpath, programmed in CAM to map every angle, every pass and every cut. When it's ready, that program goes straight to our DMG MORI. The machine rotates and the tool engages. Then, it executes exactly what you see on screen, with extreme precision. Five axes of motion provide complex geometry in a single setup, with better accuracy. This is precision manufacturing for satellites at our factory in Northern California. 🇺🇸

Astranis Space Technologies

12,599 görüntüleme • 4 ay önce

This is quite funny. We're visiting Kamakura in Japan and we came across a large group of Chinese tourists in a place that, at first glance, looked nothing special. Turns out that this very spot is one of THE most iconic locations in Japan for Chinese people who grew up in the 1990s. Why? Because in the 1990s there was this Japanese basketball manga called "slam dunk" that every kid was watching in China, and the opening credits featured an image of this very spot: a railroad crossing on a small street leading to the beach in Kamakura. Apparently this place is so popular with Chinese tourists that they had to cordon it off at some point. Now it's obviously reopened with 3 guards assigned to handle the traffic. And now that they've heard about it, it's my daughters' turn to be hooked on the series so maybe in 20 years' time they'll be perpetuating the passion and come back to this "Slam Dunk" shrine ☺️
0:06

This is quite funny. We're visiting Kamakura in Japan and we came across a large group of Chinese tourists in a place that, at first glance, looked nothing special. Turns out that this very spot is one of THE most iconic locations in Japan for Chinese people who grew up in the 1990s. Why? Because in the 1990s there was this Japanese basketball manga called "slam dunk" that every kid was watching in China, and the opening credits featured an image of this very spot: a railroad crossing on a small street leading to the beach in Kamakura. Apparently this place is so popular with Chinese tourists that they had to cordon it off at some point. Now it's obviously reopened with 3 guards assigned to handle the traffic. And now that they've heard about it, it's my daughters' turn to be hooked on the series so maybe in 20 years' time they'll be perpetuating the passion and come back to this "Slam Dunk" shrine ☺️

Arnaud Bertrand

62,647 görüntüleme • 10 ay önce

DAY 3 Sunny Hill Festival ❤️ Unbelievable, unbelievable scenes There really aren't words for the joy, pride, and gratitude we feel getting to put this festival on for our city with our family. The amount of work that goes into making it happen is honestly hard to comprehend, but every single second is worth it when we get to stand on that hill and see all of you together. I tried to steal a few quiet moments to take it all in, and it hit me just how special this has become. Somehow, every year, it just keeps getting better. Thank you to everyone who came and made this weekend so unforgettable. We already can't wait to see you all back on the hill next year. ❤️
0:03

DAY 3 Sunny Hill Festival ❤️ Unbelievable, unbelievable scenes There really aren't words for the joy, pride, and gratitude we feel getting to put this festival on for our city with our family. The amount of work that goes into making it happen is honestly hard to comprehend, but every single second is worth it when we get to stand on that hill and see all of you together. I tried to steal a few quiet moments to take it all in, and it hit me just how special this has become. Somehow, every year, it just keeps getting better. Thank you to everyone who came and made this weekend so unforgettable. We already can't wait to see you all back on the hill next year. ❤️

DUA LIPA

557,621 görüntüleme • 23 gün önce

i was traveling for 2 years and taking long haul flights every few months - i didn’t realize it was ruining my skin i was super self conscious and it took 6 months to get my skin back on track once i got home the derm who helped me gave me this routine & now i do it on every long flight- you can stay in your seat and it’s 4 (cheap) products. i see a huge difference the week after flying hope this is helpful to any gals traveling back from devconnect this weekend❤️ and drink lots of water! ps. this was inspired by all the SheFi creators we spoke to this weekend about making fun videos😚
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i was traveling for 2 years and taking long haul flights every few months - i didn’t realize it was ruining my skin i was super self conscious and it took 6 months to get my skin back on track once i got home the derm who helped me gave me this routine & now i do it on every long flight- you can stay in your seat and it’s 4 (cheap) products. i see a huge difference the week after flying hope this is helpful to any gals traveling back from devconnect this weekend❤️ and drink lots of water! ps. this was inspired by all the SheFi creators we spoke to this weekend about making fun videos😚

elaaa

53,476 görüntüleme • 9 ay önce

Thank you SO much to all our followers, supporters and fans for all of the love at TsumiCon @ Houston, TX this past weekend!! ❤️❤️ (Long Post Incoming)⬇️ Our hearts are so full and words cannot describe how we are feeling right now 🥹 We are so happy to have met all of you! Thank you for stopping by our booth, hanging out with us, and taking pictures with us. Our group photo session took over an hour (we literally still can’t believe it). To be honest, it was a bit hectic since it was so busy. However, you guys were all so nice and patient and understanding! And even though it lasted over an hour, you guys waited in line just to meet us 🥹. Thank you for purchasing our JolliBaddies posters (we SOLD OUT omg!!🤯)! This is also unbelievable to us. Thank you for going to our panel on Saturday and playing Bingo with us!!! IN THE MAIN PANEL ROOM TOO!!!! We thought that only 20 people would attend and were originally going to be in the smallest room. However, the line for the panel was SO long that Tsumicon staff ended up switching our room from the smallest room to literally the LARGEST panel room!!! Our minds are still blown away by this. In addition, our panel line was SO long that staff had to cut it off because we were at MAX capacity!!!! Once again, thanks again to ALL OF YOU for coming out to Tsumicon and supporting JolliBaddies first public appearance!!! PS: we are sorry if this message is all over the place but our hearts are full and we have so many emotions right now that we can’t put into words. Literally crying happy tears right now as we right this 🥹🥹🥹🥹🥹
0:12

Thank you SO much to all our followers, supporters and fans for all of the love at TsumiCon @ Houston, TX this past weekend!! ❤️❤️ (Long Post Incoming)⬇️ Our hearts are so full and words cannot describe how we are feeling right now 🥹 We are so happy to have met all of you! Thank you for stopping by our booth, hanging out with us, and taking pictures with us. Our group photo session took over an hour (we literally still can’t believe it). To be honest, it was a bit hectic since it was so busy. However, you guys were all so nice and patient and understanding! And even though it lasted over an hour, you guys waited in line just to meet us 🥹. Thank you for purchasing our JolliBaddies posters (we SOLD OUT omg!!🤯)! This is also unbelievable to us. Thank you for going to our panel on Saturday and playing Bingo with us!!! IN THE MAIN PANEL ROOM TOO!!!! We thought that only 20 people would attend and were originally going to be in the smallest room. However, the line for the panel was SO long that Tsumicon staff ended up switching our room from the smallest room to literally the LARGEST panel room!!! Our minds are still blown away by this. In addition, our panel line was SO long that staff had to cut it off because we were at MAX capacity!!!! Once again, thanks again to ALL OF YOU for coming out to Tsumicon and supporting JolliBaddies first public appearance!!! PS: we are sorry if this message is all over the place but our hearts are full and we have so many emotions right now that we can’t put into words. Literally crying happy tears right now as we right this 🥹🥹🥹🥹🥹

thejollibaddies

209,711 görüntüleme • 5 ay önce

Simplicity is at the heart of great software. This is one of the reasons why Claude Code has been sticky for me. As a builder, I love planning and brainstorming, and this is now a key focus of Claude Code. I use Shift + Tab a lot to cycle between brainstorming, planning, and execution. This functionality provides the appropriate interface for me to either be very involved or less involved as I please. This works particularly well when building out new and complex features or entire new projects. This saves a huge amount of time. It allows me to tune Claude Code to execute and build more effectively. It also builds a loop of trust, and I often (surprisingly) find Claude Code asking for clarifications when it's confused. Coding agents don't normally do that. I have shared before on the power of brainstorming with AI for longer times. Try it and you will not be disappointed. Vibe coding is fun, but pair it with intentional development cycles, and you watch how far you can take a project with coding agents today.
0:10

Simplicity is at the heart of great software. This is one of the reasons why Claude Code has been sticky for me. As a builder, I love planning and brainstorming, and this is now a key focus of Claude Code. I use Shift + Tab a lot to cycle between brainstorming, planning, and execution. This functionality provides the appropriate interface for me to either be very involved or less involved as I please. This works particularly well when building out new and complex features or entire new projects. This saves a huge amount of time. It allows me to tune Claude Code to execute and build more effectively. It also builds a loop of trust, and I often (surprisingly) find Claude Code asking for clarifications when it's confused. Coding agents don't normally do that. I have shared before on the power of brainstorming with AI for longer times. Try it and you will not be disappointed. Vibe coding is fun, but pair it with intentional development cycles, and you watch how far you can take a project with coding agents today.

elvis

81,765 görüntüleme • 9 ay önce

[2026.05.17] BTS WORLD TOUR ‘ARIRANG’ in STANFORD DAY 1 – #RM Ending Ment✨ 🐨: I'm having the best time of my life right now. Honestly, I was literally surprised when we started this stage because I could see your face really well, which was good, but really embarrassing at the same time. So we needed a little time to.... but since not today we went crazy, so I'm so happy. And as Jimin said, Stanford doesn't open this precious place to, you know, not to so many people... I think from what I know, only Coldplay has done it in this scenario. We and you are the seconds. So... we're having great days here in California. It's been so long, you know, it's been a while since I've seen you all. And I hope you've all had a great night too, okay? Sending my love to You. I love you 🫶🏻 ~ Namjoon he’s so precious 🥹💜 BTS WORLD TOUR ARIRANG ARIRANG TOUR IN STANFORD DAY 1 #BTS #BTS_WORLDTOUR_ARIRANG #남준 #방탄소년단RM #BTS_WORLDTOUR_ARIRANG_STANFORD #BTS_WORLDTOUR_ARIRANG_STANFORD_D1
1:29

[2026.05.17] BTS WORLD TOUR ‘ARIRANG’ in STANFORD DAY 1 – #RM Ending Ment✨ 🐨: I'm having the best time of my life right now. Honestly, I was literally surprised when we started this stage because I could see your face really well, which was good, but really embarrassing at the same time. So we needed a little time to.... but since not today we went crazy, so I'm so happy. And as Jimin said, Stanford doesn't open this precious place to, you know, not to so many people... I think from what I know, only Coldplay has done it in this scenario. We and you are the seconds. So... we're having great days here in California. It's been so long, you know, it's been a while since I've seen you all. And I hope you've all had a great night too, okay? Sending my love to You. I love you 🫶🏻 ~ Namjoon he’s so precious 🥹💜 BTS WORLD TOUR ARIRANG ARIRANG TOUR IN STANFORD DAY 1 #BTS #BTS_WORLDTOUR_ARIRANG #남준 #방탄소년단RM #BTS_WORLDTOUR_ARIRANG_STANFORD #BTS_WORLDTOUR_ARIRANG_STANFORD_D1

Cha⁷_민윤기 ⊙⊝⊜ 🐱🍊🥢

14,544 görüntüleme • 3 ay önce

NEW: AI Papers of the Week Collection I just released my AI Papers of the Week collection under our Resources hub. Now you can easily find some of the most important AI papers in one place. You can also use our new AI tutor to recommend top AI papers on any topic of interest or topics you are learning about on the platform. Learning about AI is not enough. It's important to keep up to date. So this is why we are building all these tools and resources to help with that. Go try it out here: We will update the collection every week and add new paper collections in the coming weeks. We have another killer feature dropping soon to read and annotate papers, including a completely new way to study and digest AI papers. Stay tuned!
0:15

NEW: AI Papers of the Week Collection I just released my AI Papers of the Week collection under our Resources hub. Now you can easily find some of the most important AI papers in one place. You can also use our new AI tutor to recommend top AI papers on any topic of interest or topics you are learning about on the platform. Learning about AI is not enough. It's important to keep up to date. So this is why we are building all these tools and resources to help with that. Go try it out here: We will update the collection every week and add new paper collections in the coming weeks. We have another killer feature dropping soon to read and annotate papers, including a completely new way to study and digest AI papers. Stay tuned!

elvis

16,882 görüntüleme • 1 ay önce

We were taught the derivative as a formula to memorise. A definition to recite. A rule to apply. Something that "gives you the slope." But nobody told us what the formula was actually saying. Every symbol is a sentence. Every fraction is a question. Every limit is a story about getting closer and closer to something you can never quite touch. The top of the fraction? That's a change. A difference. A before and after. The bottom? That's how long you waited to see it. The limit? That's you, zooming in, refusing to settle for an approximation - chasing the truth all the way down to an interval so small it almost disappears. Put it all together, and you get the most honest question in calculus: How fast is something changing - right now, in this exact instant? Not on average. Not over a minute. Not eventually. Right now. That's it. That's the derivative. It's not a trick. It's not a rule. It's a beautifully precise way of asking a very human question: what's happening, in this moment? We spent years solving these. Maybe it's time we actually understood them.
0:12

We were taught the derivative as a formula to memorise. A definition to recite. A rule to apply. Something that "gives you the slope." But nobody told us what the formula was actually saying. Every symbol is a sentence. Every fraction is a question. Every limit is a story about getting closer and closer to something you can never quite touch. The top of the fraction? That's a change. A difference. A before and after. The bottom? That's how long you waited to see it. The limit? That's you, zooming in, refusing to settle for an approximation - chasing the truth all the way down to an interval so small it almost disappears. Put it all together, and you get the most honest question in calculus: How fast is something changing - right now, in this exact instant? Not on average. Not over a minute. Not eventually. Right now. That's it. That's the derivative. It's not a trick. It's not a rule. It's a beautifully precise way of asking a very human question: what's happening, in this moment? We spent years solving these. Maybe it's time we actually understood them.

The Math Flow

22,498 görüntüleme • 3 ay önce