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funny thing, my original loader doesn’t use keyframes. it just loops opacity with a per‑pixel delay array + a duration param. less flexible than keyframes, but gives a different effect here is one example in case you want to try to understand it hahah: { name: 'wave-lr', // Delay... show more

Kevin Grajeda

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134,435 views • 5 months ago •via X (Twitter)

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004/100 Buttons. A bit of the process on building an animation. When looking at a finished animation or in this example a finished button, it can look quite complex inside the CSS. But when building it, it’s more like a lot of simple steps, one after another. Here I had the idea to make some kind of text animation like the footer logo on the Osmo site. I try to add the base animation with no complex easing, for example transition: translate 0.4s ease. Starting with just moving the one text from bottom to top and the other text to top. Adding a stagger, play around with it. Searching for a way to make it more circular. On the research I found the sin() function inside CSS which can build a more smooth non linear curve for the stagger which creates this circular effect. And step by step adding more complexity like, different easing for hover/hover-out, opacity, 3D transform and more. I use also the sin() function to rotate the letters, so the middle ones are getting more rotated than the outer ones. Another thing which helps is to add a small delay on hover, for example 0.05s or 0.1s, you don’t really see the difference, but when you hover pretty fast on and out it doesn’t get that jumpy. I’m using here GSAP’s SplitText to split every char into spans. And then I’m adding a CSS index variable to every span, starting from the center. SplitText can provide CSS index variables, but you cannot tell it from which direction. For the sin() it’s also important to have a max length, so I add another CSS variable with the max char number on it. Crafting 100 Buttons with Osmo ⏳ Total time: 63h

Eduard Bodak

166,023 views • 2 months ago

I just built a complete SEO audit plugin in Claude Code that replaces your $200/mo Ahrefs subscription 🤯 One Claude Plugin audits any store: technical SEO, product schema, content, Core Web Vitals, and AI-search readiness. Parallel agents, a 0-100 score, and a dashboard that renders right in the panel. All inside Claude Code. So I pointed it at Ridge .com, one of the sharpest DTC operators out there. It came back 56/100, and what stood out wasn't a knock on them at all: Ridge has a better AI-commerce setup than 99% of stores. A real llms.txt, an agent-discovery sitemap, a live MCP endpoint, genuinely ahead of the curve. And even on a store that dialed-in, the audit surfaced fixable gaps in ~90 seconds: → Room to add product structured data → A mobile Core Web Vitals score worth tightening → A thin meta description on a high-traffic collection Perfect for e-comm operators and SEO agencies who are sick of paying $200/mo for tools that bury the real issues, running quarterly audits that take a week, and shipping reports nobody can act on. So I put together the full playbook to build your own. The complete guide to building this Plugin in Claude Code: branded to you, tuned to exactly how you audit, repeatable across every client. The kind of audit you run in minutes and hand over as a deliverable that looks like it cost thousands. What's inside: → The architecture (orchestrator + parallel sub-agents) → How to fetch any store past Cloudflare → The 0-100 scoring + falsifiable-findings framework → How to ship the HTML dashboard for client demos → The full build, start to finish Want the playbook for free? > Like this post > Comment "SEO" And I'll send it over (must be following so I can DM)

I just built a complete SEO audit plugin in Claude Code that replaces your $200/mo Ahrefs subscription 🤯 One Claude Plugin audits any store: technical SEO, product schema, content, Core Web Vitals, and AI-search readiness. Parallel agents, a 0-100 score, and a dashboard that renders right in the panel. All inside Claude Code. So I pointed it at Ridge .com, one of the sharpest DTC operators out there. It came back 56/100, and what stood out wasn't a knock on them at all: Ridge has a better AI-commerce setup than 99% of stores. A real llms.txt, an agent-discovery sitemap, a live MCP endpoint, genuinely ahead of the curve. And even on a store that dialed-in, the audit surfaced fixable gaps in ~90 seconds: → Room to add product structured data → A mobile Core Web Vitals score worth tightening → A thin meta description on a high-traffic collection Perfect for e-comm operators and SEO agencies who are sick of paying $200/mo for tools that bury the real issues, running quarterly audits that take a week, and shipping reports nobody can act on. So I put together the full playbook to build your own. The complete guide to building this Plugin in Claude Code: branded to you, tuned to exactly how you audit, repeatable across every client. The kind of audit you run in minutes and hand over as a deliverable that looks like it cost thousands. What's inside: → The architecture (orchestrator + parallel sub-agents) → How to fetch any store past Cloudflare → The 0-100 scoring + falsifiable-findings framework → How to ship the HTML dashboard for client demos → The full build, start to finish Want the playbook for free? > Like this post > Comment "SEO" And I'll send it over (must be following so I can DM)

Mike Futia

55,285 views • 1 month ago

Behind the Scenes: How I prompted 3 scenes in 1 try on Seedance 2.0! Sharing my workflow of all my prompts for hopeless steve so you can see what were SD2 choices and what needed to be prompted. You can see how much more streamlined it is to go from one scene to the next when you can have 9 ref img's to work with. The prompt is only for the one that generated the most useful footage for each part. Scene 1, 2, 3 - 15s Ref: 1. House Ext. 2, Steve profile 3. Steve on the computer in the bedroom 4. mother cooking in kitchen. (The references a numbered so you know what the prompt is refering to.) Prompt: American sitcom style cartoon about Steve【@图片2】. Must maintain 100% fidelity to the art style and all character traits. No background music. [0:00-0:02] Wide establishing shot of the exterior of the house【@图片1】. Camera slowly zooms but remains in the wide shot. [Cut: 0:02-0:03] Interior wide shot of steve looking bored at computer 【@图片3】. No dialogue. [Cut: 0:03-0:05] Over the shoulder shot from behind steve. We see his monitor as he plays solitaire. We hear subtle mouse clicks and sound of cards as he drags and places them into the collumns. [Cut: 0:05-0:07] Side profile of Steve continuing to play solitaire on the computer. [Cut: 0:07-0:09] 【@图片4】Extreme close up of the mother's spatula flipping an egg over in the pan. [Cut: 0:09-0:11] Medium shot 【@图片4】 as the mother calls frustratedly, "Steve, breakfast is ready." [Cut: 0:11-0:12] Extreme close up in 【@图片4】of the mother's hand as she turns the stove off. [Cut: 0:12-0:13] 【@图片4】Extreme close up of the mother narrowing her eyes disgruntled. [Cut: 0:13-0:15] 【@图片4】 Medium shot as mother walks out of left of frame. Stationary camera.

Jason W - AI

18,063 views • 4 months ago

the system our agency uses to produce ad creatives for paying b2b clients is now written down in a free doc. it's a claude code build. one intake form takes the icp, pain, offer and cta, and it returns 100+ finished meta statics, each one a different concept with the message designed inside the artwork. the doc is the full build, not a summary: > all 20 prompts in build order, each a complete brief you paste as written > the 80-entry template and visual metaphor library, with the seed entries claude code expands for you > the fire-and-forget layer, so batches finish with the laptop closed and archive themselves before provider links expire > a worked example from a real ad copy to a folder your media buyer can upload straight to ads manager the wall in this video came off one run. the whole build takes about 2 hours. like + comment "ENGINE" and i'll dm you the doc. (following + rt for priority access)

the system our agency uses to produce ad creatives for paying b2b clients is now written down in a free doc. it's a claude code build. one intake form takes the icp, pain, offer and cta, and it returns 100+ finished meta statics, each one a different concept with the message designed inside the artwork. the doc is the full build, not a summary: > all 20 prompts in build order, each a complete brief you paste as written > the 80-entry template and visual metaphor library, with the seed entries claude code expands for you > the fire-and-forget layer, so batches finish with the laptop closed and archive themselves before provider links expire > a worked example from a real ad copy to a folder your media buyer can upload straight to ads manager the wall in this video came off one run. the whole build takes about 2 hours. like + comment "ENGINE" and i'll dm you the doc. (following + rt for priority access)

KNOX

26,377 views • 6 days ago

While I have premium I definitely want to do a long post breaking down the main scene from this show that I obsess with. There's so much that I feel could be learned from it. Not just for expansion animators either. There's honestly a LOT that can be learned from how this show directed its expansion scenes that can be applied to even safe for work animations. Obviously yes, the expansion alone is really good. What makes it so good though is just the fact that there's things you pick up on that you likely don't even realize until you re-watch. I'm using this scene as an example as it's not AS good I would say, but it still has a lot going for it. One thing I've always loved from it that I want to use in my own animations someday is that the expansion sort of comes in waves as opposed to one consistent growth. In a way, it makes it feel more natural while also selling how tight the top is getting. It could have been accompanied by showing the knot getting tighter or smaller with each growth. It's a small part of the animation but just that one thing already adds another layer to appreciate. It's not like most expansion scenes where there's very little outside of just "growing" on its own. There's a bunch of little things that subtly improve it without being obnoxious. The first expansion scene has WAY more that I want to talk about honestly. Far more than this one has. It will probably be a really long post now that I think about it...

While I have premium I definitely want to do a long post breaking down the main scene from this show that I obsess with. There's so much that I feel could be learned from it. Not just for expansion animators either. There's honestly a LOT that can be learned from how this show directed its expansion scenes that can be applied to even safe for work animations. Obviously yes, the expansion alone is really good. What makes it so good though is just the fact that there's things you pick up on that you likely don't even realize until you re-watch. I'm using this scene as an example as it's not AS good I would say, but it still has a lot going for it. One thing I've always loved from it that I want to use in my own animations someday is that the expansion sort of comes in waves as opposed to one consistent growth. In a way, it makes it feel more natural while also selling how tight the top is getting. It could have been accompanied by showing the knot getting tighter or smaller with each growth. It's a small part of the animation but just that one thing already adds another layer to appreciate. It's not like most expansion scenes where there's very little outside of just "growing" on its own. There's a bunch of little things that subtly improve it without being obnoxious. The first expansion scene has WAY more that I want to talk about honestly. Far more than this one has. It will probably be a really long post now that I think about it...

FancyPlanks 🐀

16,420 views • 7 months ago

I used to think healthy people were just built different. Like they were born loving salads and waking up at 5 AM for a jog. But here I am, barefoot in the sand, soaking up sunlight, breathing in ionized air... while old me would be otw to Happy Hour—to pregame for another night of partying, poor sleep, and midnight pizza. Funny thing is, it all started with one small change... I stopped drinking soda with every meal. I still have it a few times a year, but that tiny shift is all it took. Cuz that tiny shift led to another... Then another... Then another. Now here I am. 10% bf year-round with no tracking, very little forcing myself to do anything. Just a better lifestyle that feels natural and is completely aligned with my goals. James Clear calls this chain reaction of habits, "the compounding effect of habits." Turns out healthy & fit people aren't different—they just build better loops :)

I used to think healthy people were just built different. Like they were born loving salads and waking up at 5 AM for a jog. But here I am, barefoot in the sand, soaking up sunlight, breathing in ionized air... while old me would be otw to Happy Hour—to pregame for another night of partying, poor sleep, and midnight pizza. Funny thing is, it all started with one small change... I stopped drinking soda with every meal. I still have it a few times a year, but that tiny shift is all it took. Cuz that tiny shift led to another... Then another... Then another. Now here I am. 10% bf year-round with no tracking, very little forcing myself to do anything. Just a better lifestyle that feels natural and is completely aligned with my goals. James Clear calls this chain reaction of habits, "the compounding effect of habits." Turns out healthy & fit people aren't different—they just build better loops :)

Rueben Hewitt

14,705 views • 1 year ago

This is gonna be so long omg but when it comes to translating in Korean, it’s very very important to take in consideration of 1) Culture 2) Seniority, the Closeness & Intimacy of the people involved in a conversation. Because this gives an entire different vibe for the context. And we have to keep in mind that there are Korean phrases and expressions that simply don’t have just One way, exact words that can be translated in English. Translators can find ways to convey the meaning, but it requires more explanation and understanding of the context while conveying it, and not relying on assumptions. How about “인상 덜 쓰기” or “인상 쓰다“ then? Here, a direct translation can simply be 인상 덜 쓰기 - be less grumpy/ frown less, etc 인상 쓰다 - being grumpy, frown, make a face, etc Here, I include an educational video of an English speaker talking with a Korean speaker where they’re discussing a similar expression, “인상 좀 쓰지마!“ (which in word by word in English, it sounds something like “Don’t frown/ Don’t make a face”) Now, as an English speaker, that sounds a bit harsh doesn’t it? That’s because such expression doesn’t exist in just One interpretation in English, so if we only read it as it is, without considering the context and the speakers’ closeness, we’re bound to misunderstand the context. Quoting some parts of this video, 💚: “Now, Tyler’s expression for today is ‘인상 좀 쓰지마!’. Have you ever heard of this expression? 🩶: I’ve heard something like that before 💚: Then doesn’t this mean there’s a same expression in English too right? 🩶: Oh! I’ve only heard it in Korea 💚: Ah really? The guy then explained that if you say something like this in english, it can be rude. so it’s better not to say it in English-speaking countries. He gave examples like “If you do that, you’ll get wrinkles”, and the other guy added something like “If you make an ugly face, you’ll have wrinkles” and said that “If someone (an English speaker) hears this they would think I must be crazy” Here, they’re talking about the cultural differences. A phrase like this, when expressed directly, without considering people’s closeness, and being translated exactly like that, would sound so negative to English speakers. *also notice how this phrase is being worded in various ways??? ‘HOW’ it can sound to someone, really depends on their culture, their closeness with the person, and context* So later on, he gave a few more examples like, “stop making such a long face”, and “stop wrinkling your forehead”. And concluded that: 💚: Well in that case, the phrase “인상 좀 쓰지마” is basically a phrase that doesn’t exist in English. 🩶: It’s an expression that we don’t use. It’s not that it doesn’t exist. (This part, he’s explaining that there’s no such a thing as word by word to explain this phrase in English, bcs we English speakers use different wordings that is more suitable for a situation’s nuances.) Then again, we have to consider speakers’ closeness as well because in Korea, it’s a huge thing. If you don’t understand how this works, you won’t understand the nuances of a conversation. You’re bound to misunderstand. If you refuse to understand it then, I don’t think you want to respect their culture. Because again, this is a huge thing.

This is gonna be so long omg but when it comes to translating in Korean, it’s very very important to take in consideration of 1) Culture 2) Seniority, the Closeness & Intimacy of the people involved in a conversation. Because this gives an entire different vibe for the context. And we have to keep in mind that there are Korean phrases and expressions that simply don’t have just One way, exact words that can be translated in English. Translators can find ways to convey the meaning, but it requires more explanation and understanding of the context while conveying it, and not relying on assumptions. How about “인상 덜 쓰기” or “인상 쓰다“ then? Here, a direct translation can simply be 인상 덜 쓰기 - be less grumpy/ frown less, etc 인상 쓰다 - being grumpy, frown, make a face, etc Here, I include an educational video of an English speaker talking with a Korean speaker where they’re discussing a similar expression, “인상 좀 쓰지마!“ (which in word by word in English, it sounds something like “Don’t frown/ Don’t make a face”) Now, as an English speaker, that sounds a bit harsh doesn’t it? That’s because such expression doesn’t exist in just One interpretation in English, so if we only read it as it is, without considering the context and the speakers’ closeness, we’re bound to misunderstand the context. Quoting some parts of this video, 💚: “Now, Tyler’s expression for today is ‘인상 좀 쓰지마!’. Have you ever heard of this expression? 🩶: I’ve heard something like that before 💚: Then doesn’t this mean there’s a same expression in English too right? 🩶: Oh! I’ve only heard it in Korea 💚: Ah really? The guy then explained that if you say something like this in english, it can be rude. so it’s better not to say it in English-speaking countries. He gave examples like “If you do that, you’ll get wrinkles”, and the other guy added something like “If you make an ugly face, you’ll have wrinkles” and said that “If someone (an English speaker) hears this they would think I must be crazy” Here, they’re talking about the cultural differences. A phrase like this, when expressed directly, without considering people’s closeness, and being translated exactly like that, would sound so negative to English speakers. also notice how this phrase is being worded in various ways??? ‘HOW’ it can sound to someone, really depends on their culture, their closeness with the person, and context So later on, he gave a few more examples like, “stop making such a long face”, and “stop wrinkling your forehead”. And concluded that: 💚: Well in that case, the phrase “인상 좀 쓰지마” is basically a phrase that doesn’t exist in English. 🩶: It’s an expression that we don’t use. It’s not that it doesn’t exist. (This part, he’s explaining that there’s no such a thing as word by word to explain this phrase in English, bcs we English speakers use different wordings that is more suitable for a situation’s nuances.) Then again, we have to consider speakers’ closeness as well because in Korea, it’s a huge thing. If you don’t understand how this works, you won’t understand the nuances of a conversation. You’re bound to misunderstand. If you refuse to understand it then, I don’t think you want to respect their culture. Because again, this is a huge thing.

✰ 𝐚𝐥𝐢𝐬𝐚 ✰

12,631 views • 6 months ago

[Discrete Fourier Transform] by Hand ✍️ In signal processing, the Discrete Fourier Transform (DFT) is no doubt the most important method. But the math involved is extremely complex, literally, involving a summation over a complex number term e^(-iwt). I developed this exercise to demonstrate that underneath such complexity, DFT is just a series of matrix multiplications you can calculate by hand. ✍️ Once you see that, it should not surprise you that a deep neural network, which is also a series of matrix multiplications, with activation functions in-between, can learn to perform DFT to process and analyze signals so effectively. How does DFT work? [1] Given ↳ Signals A, B, and C in the 🟧 frequency domain: ◦ A = cos(w) + 2cos(2w) ◦ B = cos(w) + cos(3w) + cos(4w) ◦ C = -cos(2w) + cos(3w) ◦ Each signal is a weighed sum of four cosine waves at frequencies 1w, 2w, 3w, and 4w. ◦ We will apply Inverse DFT to convert the signals to time domain representations, and then demonstrate DFT can convert back to their original frequency domain representations. ↳ Signal X in the 🟩 time domain. X is sampled at 10 time points 1t, 2t, …, 10t: ◦ X = [-2.5, -1.8, 3, -0.7, -1.0, -0.7, 3, -1.8, -2.5, 5] ◦ Suppose X is also a weighted sum of the same four cosine waves, but we don’t already know their weights. We will apply DFT to discover them. [2] 🟧 Frequency Matrix (F) ↳ Write the coefficients of A, B, C as a matrix F. Each signal is a row. Each frequency is a column. ↳ A → [1, 2, 0, 0] ↳ B → [1, 0, 1, 1] ↳ C → [0, 1-, 1, 0] [3] Cosine → Discrete ↳ Sample from the continuous cosine waves at discrete time points 1t, 2t, 3t, to 10t. [4] Cosine Matrix (W) ↳ Write the samples as a matrix, Each frequency is a row. Each time point is a column. [5] Inverse DFT: 🟧 Frequency → 🟩 Time ↳ Multiply the frequency matrix F and the cosine matrix W. ↳ The meaning of this multiplication is to linearly combine the four cosine waves (rows in W) into time-domain signals (rows in T) using the weights specified in F. ↳ The result is matrix T, which are signals A, B, C converted to the time domain. Each signal is a row. Each time point is a column. [6] Transpose ↳ Transpose T, converting each signal’s time domain representation from a row to a column. [7] DFT: 🟩 Time → 🟧 Frequency ↳ Multiply the cosine matrix W with the transpose of matrix T. ↳ The purpose of this multiplication is to take a dot-product between each time-domain signal (columns in the transpose of T) and each cosine wave (rows in W), which has the effect of projecting the signal onto a cosine wave to determine how much they are correlated. Zero means not correlated at all. ↳ The result is an intermediate version of the “recovered” frequency matrix where each column corresponds to a signal and each row corresponds to a frequency. ↳ Compared to the original frequency matrix F, this intermediate matrix has non-zero weights in the correct places, but scaled up by a factor of 5 (n/2, n=10). For example, signal A, originally [1,2,0,0], is recovered at [5,10,0,0]. [8] Scale ↳ Multiply each value by 2/n = 1/5 to scale down the intermediate matrix to match the magnitude of the original frequency matrix F. [9] Transpose ↳ Transpose the recovered frequency matrix back to the same orientation of the original frequency matrix F. ↳ Like magic 🪄, the result is identical to the original F, which means DFT successfully recovered the frequency components of signals A, B, C. [10] Apply DFT to X: 🟩 Time → 🟧 Frequency ↳ Now that we have some confidence in DFT’s ability to recover frequency components, we apply DFT to X’s time-domain representation by multiplying W with X. ↳ The result is the an intermediate matrix. [11] Scale ↳ Similarly, we scale down by a factor of 5 to obtain the recovered frequency components of X (a column). [12] Transpose ↳ Similarly, we transpose the recovered column to row to match the orientation of the frequency matrix. ↳ Using the coefficients [0,0,3,2], we can write the equation of X as 3cos(3w) + 2cos(4w). Notes: I hope this by hand exercise helps you understand the essence of DFT. But there is more technical details, such as: • Sine: The complete DFT math also includes sine waves that follow a similar calculation process. • Phase: Here, we assume all the cosine waves are aligned at the origin, namely, phase is 0. If a phase p is added, for example, cos(w+p), we will need to calculate the sine component and use their ratio to figure out what p is. • Magnitude: If phase is not zero, the magnitude will need to be calculated by combining both cosine and sine terms.

[Discrete Fourier Transform] by Hand ✍️ In signal processing, the Discrete Fourier Transform (DFT) is no doubt the most important method. But the math involved is extremely complex, literally, involving a summation over a complex number term e^(-iwt). I developed this exercise to demonstrate that underneath such complexity, DFT is just a series of matrix multiplications you can calculate by hand. ✍️ Once you see that, it should not surprise you that a deep neural network, which is also a series of matrix multiplications, with activation functions in-between, can learn to perform DFT to process and analyze signals so effectively. How does DFT work? [1] Given ↳ Signals A, B, and C in the 🟧 frequency domain: ◦ A = cos(w) + 2cos(2w) ◦ B = cos(w) + cos(3w) + cos(4w) ◦ C = -cos(2w) + cos(3w) ◦ Each signal is a weighed sum of four cosine waves at frequencies 1w, 2w, 3w, and 4w. ◦ We will apply Inverse DFT to convert the signals to time domain representations, and then demonstrate DFT can convert back to their original frequency domain representations. ↳ Signal X in the 🟩 time domain. X is sampled at 10 time points 1t, 2t, …, 10t: ◦ X = [-2.5, -1.8, 3, -0.7, -1.0, -0.7, 3, -1.8, -2.5, 5] ◦ Suppose X is also a weighted sum of the same four cosine waves, but we don’t already know their weights. We will apply DFT to discover them. [2] 🟧 Frequency Matrix (F) ↳ Write the coefficients of A, B, C as a matrix F. Each signal is a row. Each frequency is a column. ↳ A → [1, 2, 0, 0] ↳ B → [1, 0, 1, 1] ↳ C → [0, 1-, 1, 0] [3] Cosine → Discrete ↳ Sample from the continuous cosine waves at discrete time points 1t, 2t, 3t, to 10t. [4] Cosine Matrix (W) ↳ Write the samples as a matrix, Each frequency is a row. Each time point is a column. [5] Inverse DFT: 🟧 Frequency → 🟩 Time ↳ Multiply the frequency matrix F and the cosine matrix W. ↳ The meaning of this multiplication is to linearly combine the four cosine waves (rows in W) into time-domain signals (rows in T) using the weights specified in F. ↳ The result is matrix T, which are signals A, B, C converted to the time domain. Each signal is a row. Each time point is a column. [6] Transpose ↳ Transpose T, converting each signal’s time domain representation from a row to a column. [7] DFT: 🟩 Time → 🟧 Frequency ↳ Multiply the cosine matrix W with the transpose of matrix T. ↳ The purpose of this multiplication is to take a dot-product between each time-domain signal (columns in the transpose of T) and each cosine wave (rows in W), which has the effect of projecting the signal onto a cosine wave to determine how much they are correlated. Zero means not correlated at all. ↳ The result is an intermediate version of the “recovered” frequency matrix where each column corresponds to a signal and each row corresponds to a frequency. ↳ Compared to the original frequency matrix F, this intermediate matrix has non-zero weights in the correct places, but scaled up by a factor of 5 (n/2, n=10). For example, signal A, originally [1,2,0,0], is recovered at [5,10,0,0]. [8] Scale ↳ Multiply each value by 2/n = 1/5 to scale down the intermediate matrix to match the magnitude of the original frequency matrix F. [9] Transpose ↳ Transpose the recovered frequency matrix back to the same orientation of the original frequency matrix F. ↳ Like magic 🪄, the result is identical to the original F, which means DFT successfully recovered the frequency components of signals A, B, C. [10] Apply DFT to X: 🟩 Time → 🟧 Frequency ↳ Now that we have some confidence in DFT’s ability to recover frequency components, we apply DFT to X’s time-domain representation by multiplying W with X. ↳ The result is the an intermediate matrix. [11] Scale ↳ Similarly, we scale down by a factor of 5 to obtain the recovered frequency components of X (a column). [12] Transpose ↳ Similarly, we transpose the recovered column to row to match the orientation of the frequency matrix. ↳ Using the coefficients [0,0,3,2], we can write the equation of X as 3cos(3w) + 2cos(4w). Notes: I hope this by hand exercise helps you understand the essence of DFT. But there is more technical details, such as: • Sine: The complete DFT math also includes sine waves that follow a similar calculation process. • Phase: Here, we assume all the cosine waves are aligned at the origin, namely, phase is 0. If a phase p is added, for example, cos(w+p), we will need to calculate the sine component and use their ratio to figure out what p is. • Magnitude: If phase is not zero, the magnitude will need to be calculated by combining both cosine and sine terms.

Tom Yeh

116,622 views • 2 years ago

OK COMPUTER collection is 100% fully onchain, obviously but did u know within the nft itself we embedded an interactive terminal as well as a full-on 3d graphics engine? each bot also comes with their own unique generative artpiece, accessible by executing "run" in the terminal, amongst other fun terminal commands, try it out.. the best thing is: the terminal is *UPGRADEABLE*, which means future additions to the terminal is possible, stay tuned. all of this tech happening 100% onchain 🤖👌

OK COMPUTER collection is 100% fully onchain, obviously but did u know within the nft itself we embedded an interactive terminal as well as a full-on 3d graphics engine? each bot also comes with their own unique generative artpiece, accessible by executing "run" in the terminal, amongst other fun terminal commands, try it out.. the best thing is: the terminal is UPGRADEABLE, which means future additions to the terminal is possible, stay tuned. all of this tech happening 100% onchain 🤖👌

dailofrog 🐸🚬

56,301 views • 1 year ago

$Jet Fuel is a fascinating story. We don’t measure it in litres, we measure it in weight, because fuel expands/contracts with temperature while weight stays constant. Jet fuel’s specific gravity is ~0.8, so 1 litre ≈ 0.8 kg (lighter than water). It’s also worth noting that jet fuel is essentially a highly refined kerosene, far less volatile than gasoline, which makes it safer to handle in large quantities. On a long-haul, fuel can be close to half the aircraft’s total weight at departure. On the A350-1000, that can be ~129 tonnes. At most major international airports, this much fuel doesn’t turn up in a tanker. It’s stored in a depot and delivered through a network of underground hydrant pipes to each stand. The “tanker” you see is really a pump truck connecting the hydrant to the aircraft and metering the exact uplift. When I moved from the A340-600 to the A350-1000, one of the things that struck me most was just how much simpler and smarter the fuel system became and how much less fuel we required for the same journeys. On the A340-600, we needed a rear trim tank in the tail to keep the aircraft in balance during cruise. It worked beautifully, but it added complexity. The A350 doesn’t need that, instead, it uses tiny fractions of flap in cruise, together with the latest wing aerodynamics, to keep perfectly in trim. London → New York comparison (typical figures): - A340-600: ~80–90 tonnes of trip fuel - A350-1000: ~50–60 tonnes of trip fuel That’s roughly 30–40% less fuel, saving ~25–30 tonnes on a single flight, which also means about 80–95 tonnes less CO₂ (rule of thumb: 1 tonne of jet fuel ≈ 3.16 tonnes CO₂) 📸 by ig/captainchris$

Jet Fuel is a fascinating story. We don’t measure it in litres, we measure it in weight, because fuel expands/contracts with temperature while weight stays constant. Jet fuel’s specific gravity is ~0.8, so 1 litre ≈ 0.8 kg (lighter than water). It’s also worth noting that jet fuel is essentially a highly refined kerosene, far less volatile than gasoline, which makes it safer to handle in large quantities. On a long-haul, fuel can be close to half the aircraft’s total weight at departure. On the A350-1000, that can be ~129 tonnes. At most major international airports, this much fuel doesn’t turn up in a tanker. It’s stored in a depot and delivered through a network of underground hydrant pipes to each stand. The “tanker” you see is really a pump truck connecting the hydrant to the aircraft and metering the exact uplift. When I moved from the A340-600 to the A350-1000, one of the things that struck me most was just how much simpler and smarter the fuel system became and how much less fuel we required for the same journeys. On the A340-600, we needed a rear trim tank in the tail to keep the aircraft in balance during cruise. It worked beautifully, but it added complexity. The A350 doesn’t need that, instead, it uses tiny fractions of flap in cruise, together with the latest wing aerodynamics, to keep perfectly in trim. London → New York comparison (typical figures): - A340-600: ~80–90 tonnes of trip fuel - A350-1000: ~50–60 tonnes of trip fuel That’s roughly 30–40% less fuel, saving ~25–30 tonnes on a single flight, which also means about 80–95 tonnes less CO₂ (rule of thumb: 1 tonne of jet fuel ≈ 3.16 tonnes CO₂) 📸 by ig/captainchris

aircraftmaintenancengineer

509,252 views • 10 months ago

you are COOKED if you can't make $20K+ per month online in 2026 1. you can use AI to generate 300 posts in 15 minutes 2. you can get millions of views without spending a penny on ads 3. you can put words in a document and sell it 1000x for $50+ each 4. you can hire workers for $2.50/hr 100 years ago you needed your life savings just to START a business today you can start for free on your iPhone in seconds My 1.3 to 2.4 GPA teenager students that began working with me 10 months ago are making $30K–$80K+/month now I got a student Zain was earning minimum wage at a café in may 2025... now he's making $78K/month and bought an AMG Mercedes to help you guys , I've decided to LEAK the full recording of my 24 hour LIVE challenge where I grow a twitter account to $5000 in sales, showing step by step everything. 20 minutes VIP COURSE. usually $2K+ to access. what's inside: → How to create digital products with AI and sell them for $200 to $500 each → How to AI generate tweets that generate 2000+ leads in 24 hours. → how to set up the entire funnel and systems → why accounts with 6.5M followers make LESS than mine with 13K views → the DM automation software sending 1000+ messages daily for free (send link to purchase ebook) → the copywriting crash course formula turning comments into $10K–$100K sales → a 3 month gameplan for you : how to choose a product to sell, how to make tweets that generate millions of views and convert to $10K/mo DELETING IN 24 HOURS comment "X" and I'll DM it to you **must be following + retweet to receive**

you are COOKED if you can't make $20K+ per month online in 2026 1. you can use AI to generate 300 posts in 15 minutes 2. you can get millions of views without spending a penny on ads 3. you can put words in a document and sell it 1000x for $50+ each 4. you can hire workers for $2.50/hr 100 years ago you needed your life savings just to START a business today you can start for free on your iPhone in seconds My 1.3 to 2.4 GPA teenager students that began working with me 10 months ago are making $30K–$80K+/month now I got a student Zain was earning minimum wage at a café in may 2025... now he's making $78K/month and bought an AMG Mercedes to help you guys , I've decided to LEAK the full recording of my 24 hour LIVE challenge where I grow a twitter account to $5000 in sales, showing step by step everything. 20 minutes VIP COURSE. usually $2K+ to access. what's inside: → How to create digital products with AI and sell them for $200 to $500 each → How to AI generate tweets that generate 2000+ leads in 24 hours. → how to set up the entire funnel and systems → why accounts with 6.5M followers make LESS than mine with 13K views → the DM automation software sending 1000+ messages daily for free (send link to purchase ebook) → the copywriting crash course formula turning comments into $10K–$100K sales → a 3 month gameplan for you : how to choose a product to sell, how to make tweets that generate millions of views and convert to $10K/mo DELETING IN 24 HOURS comment "X" and I'll DM it to you must be following + retweet to receive

ALEX SUZUKI

55,048 views • 1 month ago

I haven’t missed a workout in over 10+ years 0 misses in over 3650 days is great discipline if you zoom out however, that doesn’t mean each workout is perfect, not rested, don’t have enough food, not enough time, etc but none of that matters if you showed up and tried your best finishing this, then flying with the team to vegas for the weekend! we’re focusing on the 1st workout of this 4 week period, attempting to push my limits here, going for 110% attempts usually I stay around 80-90% work for most then try to max out once in a while but we hit our max today!!!! ahhhh find what works for you and stay consistent to it id say it’s been a key factor to an understanding that life and business is a marathon it may not be a sprint but we can work on running on pace faster and without pain health is wealth

I haven’t missed a workout in over 10+ years 0 misses in over 3650 days is great discipline if you zoom out however, that doesn’t mean each workout is perfect, not rested, don’t have enough food, not enough time, etc but none of that matters if you showed up and tried your best finishing this, then flying with the team to vegas for the weekend! we’re focusing on the 1st workout of this 4 week period, attempting to push my limits here, going for 110% attempts usually I stay around 80-90% work for most then try to max out once in a while but we hit our max today!!!! ahhhh find what works for you and stay consistent to it id say it’s been a key factor to an understanding that life and business is a marathon it may not be a sprint but we can work on running on pace faster and without pain health is wealth

۟

12,993 views • 8 months ago

Karpathy method + Claude Code reading your whole Obsidian vault is the smartest second brain on earth. The method is simple and brutal. If you can’t build a thing from scratch, you don’t know it. Tutorials are fake learning and your brain deletes them in 3 days. Most people ignore this. They build a second brain that just sits there, folders of notes nobody reopens, dead text. Point Claude Code at the vault and it wakes up. 5,000 notes, one mind. It reads all of it and answers in your own words and your own proofs, not a model’s guess. Then the loop closes. Want to understand neural nets? Skip the 3-hour video and ask Claude Code to build a tiny one. 200 lines from scratch. Watch it train, break a layer, watch it fail, fix it. It clicks in 20 minutes instead of 3 weeks. The second it lands the note gets written. One idea per file, linked to 10 others, dropped into the vault while the memory is still hot. Now it compounds. Month 1: is 60 notes. Month 6 is 900. Every new note pulls in old ones, so you ask anything and the answer comes from your brain, not the internet. Before: 40 tabs, 6 half read PDF, 0 retained. After: build it once, own it for life. Setup takes 4 minutes. Plain text, no lock-in. A second brain nobody reads is a graveyard. Yours just started thinking.

Karpathy method + Claude Code reading your whole Obsidian vault is the smartest second brain on earth. The method is simple and brutal. If you can’t build a thing from scratch, you don’t know it. Tutorials are fake learning and your brain deletes them in 3 days. Most people ignore this. They build a second brain that just sits there, folders of notes nobody reopens, dead text. Point Claude Code at the vault and it wakes up. 5,000 notes, one mind. It reads all of it and answers in your own words and your own proofs, not a model’s guess. Then the loop closes. Want to understand neural nets? Skip the 3-hour video and ask Claude Code to build a tiny one. 200 lines from scratch. Watch it train, break a layer, watch it fail, fix it. It clicks in 20 minutes instead of 3 weeks. The second it lands the note gets written. One idea per file, linked to 10 others, dropped into the vault while the memory is still hot. Now it compounds. Month 1: is 60 notes. Month 6 is 900. Every new note pulls in old ones, so you ask anything and the answer comes from your brain, not the internet. Before: 40 tabs, 6 half read PDF, 0 retained. After: build it once, own it for life. Setup takes 4 minutes. Plain text, no lock-in. A second brain nobody reads is a graveyard. Yours just started thinking.

West Lord

584,866 views • 17 days ago

you are COOKED if you can't make $20K+ per month online in 2026 1. you can use AI to generate 300 posts in 15 minutes 2. you can get millions of views without spending a penny on ads 3. you can put words in a document and sell it 1000x for $50+ each 4. you can hire workers for $2.50/hr 100 years ago you needed your life savings just to START a business today you can start for free on your iPhone in seconds My 1.3 to 2.4 GPA teenager students that began working with me 10 months ago are making $30K–$80K+/month now I got a student Zain was earning minimum wage at a café in may 2025... now he's making $78K/month and bought an AMG Mercedes to help you guys , I've decided to LEAK the full recording of my 24 hour LIVE challenge where I grow a twitter account to $5000 in sales, showing step by step everything. 20 minutes VIP COURSE. usually $2K+ to access. what's inside: → How to create digital products with AI and sell them for $200 to $500 each → How to AI generate tweets that generate 2000+ leads in 24 hours. → how to set up the entire funnel and systems → why accounts with 6.5M followers make LESS than mine with 13K views → the DM automation software sending 1000+ messages daily for free (send link to purchase ebook) → the copywriting crash course formula turning comments into $10K–$100K sales → a 3 month gameplan for you : how to choose a product to sell, how to make tweets that generate millions of views and convert to $10K/mo DELETING IN 24 HOURS comment "X" and I'll DM it to you **must be following + retweet to receive**

you are COOKED if you can't make $20K+ per month online in 2026 1. you can use AI to generate 300 posts in 15 minutes 2. you can get millions of views without spending a penny on ads 3. you can put words in a document and sell it 1000x for $50+ each 4. you can hire workers for $2.50/hr 100 years ago you needed your life savings just to START a business today you can start for free on your iPhone in seconds My 1.3 to 2.4 GPA teenager students that began working with me 10 months ago are making $30K–$80K+/month now I got a student Zain was earning minimum wage at a café in may 2025... now he's making $78K/month and bought an AMG Mercedes to help you guys , I've decided to LEAK the full recording of my 24 hour LIVE challenge where I grow a twitter account to $5000 in sales, showing step by step everything. 20 minutes VIP COURSE. usually $2K+ to access. what's inside: → How to create digital products with AI and sell them for $200 to $500 each → How to AI generate tweets that generate 2000+ leads in 24 hours. → how to set up the entire funnel and systems → why accounts with 6.5M followers make LESS than mine with 13K views → the DM automation software sending 1000+ messages daily for free (send link to purchase ebook) → the copywriting crash course formula turning comments into $10K–$100K sales → a 3 month gameplan for you : how to choose a product to sell, how to make tweets that generate millions of views and convert to $10K/mo DELETING IN 24 HOURS comment "X" and I'll DM it to you must be following + retweet to receive

ALEX SUZUKI

56,039 views • 6 days ago

HOW TO DODGE EVERY SKILLSHOT IN LEAGUE OF LEGENDS SO YOU GET ACCUSED OF SCRIPTING - Script in your mind - Draw out how far, wide, fast an ability is relative to your character thats all the easy stuff that I have been preaching already you can find in my free discord for improvement however one thing that League coaches fail to explain is the human aspect of it every game you play in League of Legends, every single person in the game is constantly building their profile in a game on how they operate both sides are constantly trying to mind f*ck each other to land and dodge skillshots. I have broken it down into layers the three layers to dodging are layer 0 - no dodge (unconscious) layer 1 - dodge (conscious) layer 2 - no dodge (conscious) Notice how in the clip in a challenger game below Olaf shoots a layer 0 skillshot, but because I am playing at a layer 1, I dodge his axe. Now the Thresh hook gets a little deeper bare with me, because I built the profile that I will dodge an ability in that moment, he thinks that I won't dodge and is shooting a hook at a layer 2 thinking that I will dodge at a layer 2 also. However I know that he knows I will likely not juke and walk straight so I make the conscious choice to dodge AGAIN playing at a layer 1 resulting in me dodging the hook, of course he could be accounting for my tumble but the point still stands. There are many deeper things to consider like zoning abilities, environment etc but you generally want to always play at a layer 1 until you gain more data in a game to adapt. However one thing that always stays true throughout my 13 years of playing League is in teamfights that have gone on for awhile, human beings tend to panic and default to layer 0 of shooting abilities, so if your able to operate at layer 1 as a teamfight progresses, you will likely dodge that one final skillshot that wins you the game. study the saskio way

Tony Chau

185,544 views • 8 months ago

I launched a weather trading bot on Polymarket with $100 -> $8,000 here is how it works and how to copy it most people on polymarket price weather markets randomly based on vibes or a phone app but there is NOAA - a government agency that publishes free forecasts with 94%+ accuracy the result? you regularly see something like this: > NOAA gives a 94% probability that NYC will reach 74°F on Saturday > polymarket prices it at 11¢ the bot buys at 11¢ sells when the market corrects to 45¢ that is 4x on an almost guaranteed outcome how to launch it in 5 steps: > install OpenClaw on your pc > connect it to ChatGPT Plus + a telegram bot > create an agent on simmer markets deposit $100 > install the weather trading skill with: clawhub install simmer-weather > send the config to the bot and it starts trading the bot scans 6 cities every 2 minutes non-stop example of a real trader: profile: +$75,055 just from weather markets zero emotions. fully automated the window is still open but not forever

sopersone

64,986 views • 4 months ago

This workflow is perfect for creating short fashion-style cinematic videos. I simplified the original prompts based on willie’s method, and the whole process is now much faster and more stable: 1. Generate a 3×3 keyframe grid (Nano Banana Pro only) Use this simple prompt: “In a 3x3 grid, show this character in different angles, keep the scene the same, random poses. This is far simpler and more efficient than my old prompts. You can generate multiple times and just pick the keyframes you like most. 2. Extract a high-res keyframe (Super stable trick) Take a screenshot of the keyframe you want from the 3×3 grid, send it back to Nano Banana Pro, and simply say: “Give me a high-resolution version.” This method is much more stable than relying on complex upscaling prompts. 3. Generate the video with Kling 2.5 Turbo Upload the first and last frames to Kling 2.5 Turbo and use this prompt: “The camera very slowly and smoothly lowers on a boom.” From my testing, Kling 2.5 Turbo offers the best balance of stability and cost — other models are either less consistent or noticeably more expensive. 4. Final speed adjustment with willie’s tool (Critical step) Use the tool built by willie to fine-tune the playback speed of each clip. This step is essential for getting that premium cinematic feel. I’ll drop the tool link in the comments.

This workflow is perfect for creating short fashion-style cinematic videos. I simplified the original prompts based on willie’s method, and the whole process is now much faster and more stable: 1. Generate a 3×3 keyframe grid (Nano Banana Pro only) Use this simple prompt: “In a 3x3 grid, show this character in different angles, keep the scene the same, random poses. This is far simpler and more efficient than my old prompts. You can generate multiple times and just pick the keyframes you like most. 2. Extract a high-res keyframe (Super stable trick) Take a screenshot of the keyframe you want from the 3×3 grid, send it back to Nano Banana Pro, and simply say: “Give me a high-resolution version.” This method is much more stable than relying on complex upscaling prompts. 3. Generate the video with Kling 2.5 Turbo Upload the first and last frames to Kling 2.5 Turbo and use this prompt: “The camera very slowly and smoothly lowers on a boom.” From my testing, Kling 2.5 Turbo offers the best balance of stability and cost — other models are either less consistent or noticeably more expensive. 4. Final speed adjustment with willie’s tool (Critical step) Use the tool built by willie to fine-tune the playback speed of each clip. This step is essential for getting that premium cinematic feel. I’ll drop the tool link in the comments.

underwood

21,996 views • 7 months ago

You may not know this about me. During COVID I attempted for 3 years to build a bridge from the farm gate to the local town. We were the center of the plate of many local restaurants, as well as portioned controlled meats for major food distributors. We went from 6 to 46 employees 20k a month to 800k/month. But it didn't just take my 46... it took a constellation of other people filling in the gaps. Tearing it down was just as much work as building it. I am proud of where I stand now with everyone involved. I grew more with that storm. For a while I was embarrassed that I couldn't make this thing run forward. One day I decided to look at it from a different angle. I decoupled experience from failure. Today I want to facilitate whatever it takes to pick up the pieces of what I learned to help whoever it is that wants to be part of the change in direction. I don't want to own the damn thing. I want to find the missing pieces of the puzzle so we can build back better.

You may not know this about me. During COVID I attempted for 3 years to build a bridge from the farm gate to the local town. We were the center of the plate of many local restaurants, as well as portioned controlled meats for major food distributors. We went from 6 to 46 employees 20k a month to 800k/month. But it didn't just take my 46... it took a constellation of other people filling in the gaps. Tearing it down was just as much work as building it. I am proud of where I stand now with everyone involved. I grew more with that storm. For a while I was embarrassed that I couldn't make this thing run forward. One day I decided to look at it from a different angle. I decoupled experience from failure. Today I want to facilitate whatever it takes to pick up the pieces of what I learned to help whoever it is that wants to be part of the change in direction. I don't want to own the damn thing. I want to find the missing pieces of the puzzle so we can build back better.

Jason Mauck

24,874 views • 1 year ago

This is one of the nicest things about China: whatever happens to you, you can always count on people's solidarity. This is what just happened to us. We wanted to park our RV right next to Hulun lake for the night but stupidly managed to get it stuck in the sand. Impossible to drive out anymore 😓 Immediately, and I mean immediately, people around us started to pitch in to help. Luckily it so happened that a group of ex-PLA soldiers were having a get-together barbecue 100 meters away from us. They got told about our issue, stopped their barbecue and came to help. They told us "don't worry, no matter what we'll get you out, it's just a matter of time". Before we know it, one of the guys takes the wheel of the RV and the others start pushing. In 5 minutes, job done! RV unstuck and the guys get back to their barbecue. The Chinese are often depicted as cold and distant but my consistent experience is that they're one of the kindest people in the world, always ready to help a fellow human in need!

This is one of the nicest things about China: whatever happens to you, you can always count on people's solidarity. This is what just happened to us. We wanted to park our RV right next to Hulun lake for the night but stupidly managed to get it stuck in the sand. Impossible to drive out anymore 😓 Immediately, and I mean immediately, people around us started to pitch in to help. Luckily it so happened that a group of ex-PLA soldiers were having a get-together barbecue 100 meters away from us. They got told about our issue, stopped their barbecue and came to help. They told us "don't worry, no matter what we'll get you out, it's just a matter of time". Before we know it, one of the guys takes the wheel of the RV and the others start pushing. In 5 minutes, job done! RV unstuck and the guys get back to their barbecue. The Chinese are often depicted as cold and distant but my consistent experience is that they're one of the kindest people in the world, always ready to help a fellow human in need!

Arnaud Bertrand

239,913 views • 2 years ago