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Spice Flow x Reppo private beta mainnet is now live. 🔥 This is the first step towards a future that Spice Flow enables: native multi-chain UX made easy. If eligible, you can now access Reppo directly from Citrea, Arbitrum, and Base. No extra steps, pure flow. Details ↓

Spicenet

104,400 subscribers

23,183 次观看 • 27 天前 •via X (Twitter)

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The time has finally come! Wave 2 can now join the Spice Flow Private Beta Mainnet with Reppo 🔥 Go to the Portal to check if you're eligible and start doing mainnet quests!

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The first Spice Flow Devnet is now live. 🔥 The Portal is opening. A new kind of UX is coming across chains. Trade on Brokex Protocol natively from Arbitrum or Base, provide feedback, and get rewards on the Spicenet Portal. Wave 1 starts now ↓

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The Spice Flow x Elitra Devnet has officially concluded 🔥 A huge THANK YOU to everyone who participated. → 11,000+ verified users → 50,000+ quests completed → Thousands of live cross chain interactions executed on Elitra This was our second Spice Flow Devnet and the first large scale validation of our intent based execution model powered by EIP-7702. We also improved UX/UI across the board. The result? Strong adoption and clear UX progression. And the data backs it up: ✦ 76% now prefer using Spice Flow as default compared to 62% in the Brokex Devnet ✦ 81% said the experience felt native vs 77% in the Brokex Devnet ✦ 82% found the UI easy to navigate vs 74% in the Brokex Devnet We are now taking these learnings, simplifying the experience even further, and preparing Spice Flow to power DeFi at scale. Next stop: Mainnet. Are you ready? 🌶️

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d’Alembert’s Paradox: The 1752 Paradox That Stood in the Way of Real Aerodynamics In 1752, d’Alembert found a result that still feels wrong at first sight: An ideal fluid can flow around a body and produce no drag at all. In the first animation, viscosity is set to zero. The fluid bends around the object, accelerates, slows down, and stitches itself back together downstream. You get no wake, no loss and no scar in the flow. The equations have removed the very thing that would let the body leave a trace. That is Euler flow: ρ(∂u/∂t + (u · ∇)u) = −∇p ∇ · u = 0 For steady irrotational flow, u = ∇φ and ∇²φ = 0. The pressure field stays perfectly symmetric front to back, so when you integrate pressure over the body, the drag cancels: D = 0 The second animation changes one thing: viscosity is allowed back in. ρ(∂u/∂t + (u · ∇)u) = −∇p + μ∇²u ∇ · u = 0 Now, the surface can grip the fluid. A boundary layer forms. It can separate, vorticity rolls off the body and wake appears. Drag is now built by the flow. Therefore, making viscosity tiny is not the same as deleting it. ν → 0 still has a boundary layer. ν = 0 has no memory.

Mathelirium

43,784 次观看 • 2 个月前

d’Alembert’s Paradox: ν → 0 Is Not ν = 0 In 1752, Jean-le-Rond d’Alembert proved a result that still trips people up: An inviscid, incompressible, steady flow exerts zero drag on a body. No wake. No resistance. The equations let the fluid slip past as if the object weren’t there. The first animation shows exactly that world. The flow is ideal Euler flow. Streamlines bend around the body, accelerate, slow down, then recombine perfectly downstream. Nothing is left behind. The motion you see comes from pathlines moving through a steady velocity field, not from any evolving structure in the flow itself. The setup is the ideal fluid model: Euler (ν = 0) ρ(∂u/∂t + (u·∇)u) = −∇p ∇·u = 0 Assume steady flow and zero viscosity and the picture locks in. If the flow is also irrotational, ∇×u = 0, you can write u = ∇φ and the problem collapses to potential flow: ∇²φ = 0 u = ∇φ The force on the body comes entirely from pressure: F = −∮ p n dS D = F·eₓ Under these assumptions the pressure field is perfectly front–back symmetric, so the integral gives D = 0 That’s the paradox. Not a small correction. Zero. Now look at the second animation. This is the same geometry and the same inflow, but with viscosity turned on, even if it’s only a small amount. Navier–Stokes (ν > 0) ρ(∂u/∂t + (u·∇)u) = −∇p + μ∇²u ∇·u = 0 That extra term changes everything. A thin boundary layer forms near the surface. Separation becomes possible. Vorticity is generated and shed. A wake appears. Drag is no longer optional. The contrast is the point. Letting viscosity go to zero is not the same thing as setting it to zero. The inviscid limit deletes the mechanism that breaks time-reversal symmetry and allows energy dissipation. Once that mechanism is gone, wakes can’t exist, and drag vanishes by construction. #FluidDynamics #NavierStokes #EulerEquations #DAlembertParadox #BoundaryLayer #Physics

d’Alembert’s Paradox: ν → 0 Is Not ν = 0 In 1752, Jean-le-Rond d’Alembert proved a result that still trips people up: An inviscid, incompressible, steady flow exerts zero drag on a body. No wake. No resistance. The equations let the fluid slip past as if the object weren’t there. The first animation shows exactly that world. The flow is ideal Euler flow. Streamlines bend around the body, accelerate, slow down, then recombine perfectly downstream. Nothing is left behind. The motion you see comes from pathlines moving through a steady velocity field, not from any evolving structure in the flow itself. The setup is the ideal fluid model: Euler (ν = 0) ρ(∂u/∂t + (u·∇)u) = −∇p ∇·u = 0 Assume steady flow and zero viscosity and the picture locks in. If the flow is also irrotational, ∇×u = 0, you can write u = ∇φ and the problem collapses to potential flow: ∇²φ = 0 u = ∇φ The force on the body comes entirely from pressure: F = −∮ p n dS D = F·eₓ Under these assumptions the pressure field is perfectly front–back symmetric, so the integral gives D = 0 That’s the paradox. Not a small correction. Zero. Now look at the second animation. This is the same geometry and the same inflow, but with viscosity turned on, even if it’s only a small amount. Navier–Stokes (ν > 0) ρ(∂u/∂t + (u·∇)u) = −∇p + μ∇²u ∇·u = 0 That extra term changes everything. A thin boundary layer forms near the surface. Separation becomes possible. Vorticity is generated and shed. A wake appears. Drag is no longer optional. The contrast is the point. Letting viscosity go to zero is not the same thing as setting it to zero. The inviscid limit deletes the mechanism that breaks time-reversal symmetry and allows energy dissipation. Once that mechanism is gone, wakes can’t exist, and drag vanishes by construction. #FluidDynamics #NavierStokes #EulerEquations #DAlembertParadox #BoundaryLayer #Physics

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112,774 次观看 • 2 个月前

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28,500 次观看 • 3 个月前

X Base Now open beta to trading on Base is available to all higher tier users. is the first full-fledged DEX trading terminal on Base. From ≤1 block trade executation to real-time analytics, we've got you covered. This is just the start. We've already integrated all the major launchpads on Base ($zora, Baseapp, Virtuals Protocol, moved to @clanker_world etc.) and support cross-chain bridging between Base and Solana.

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37,435 次观看 • 11 个月前

Liquidity fragmentation ends now. Centrifuge V3 is LIVE, first launching on Ethereum, Plume, Base, Arbitrum, Avalanche🔺, and BNB Chain, with chain interoperability powered exclusively by Wormhole. Fund managers can manage liquidity across multiple chains from a single interface. Allocators can invest from whatever chain they operate on. -> Liquidity now moves at the speed of demand. Open and modular, V3 delivers entirely new possibilities for asset tokenization, management and distribution. Whether you’re launching a multi-asset vault, distributing a fund across DeFi protocols, or managing stablecoin reserves, Centrifuge makes the process faster, more efficient, and easier to scale.

Liquidity fragmentation ends now. Centrifuge V3 is LIVE, first launching on Ethereum, Plume, Base, Arbitrum, Avalanche🔺, and BNB Chain, with chain interoperability powered exclusively by Wormhole. Fund managers can manage liquidity across multiple chains from a single interface. Allocators can invest from whatever chain they operate on. -> Liquidity now moves at the speed of demand. Open and modular, V3 delivers entirely new possibilities for asset tokenization, management and distribution. Whether you’re launching a multi-asset vault, distributing a fund across DeFi protocols, or managing stablecoin reserves, Centrifuge makes the process faster, more efficient, and easier to scale.

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The Minos MCP server (beta) is now LIVE! AI agents can plug directly into SN107 and monitor the subnet as it operates, from live rounds and miner performance to validator activity, score histories, and overall network health. This opens Minos to the agentic layer of decentralized AI and makes SN107 easier understand. Minos MCP brings us one step closer to a fully AI-native genomics subnet. Try it out now 👇

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Lyzi - Crypto & Stablecoin Payments

23,949 次观看 • 7 个月前

I made a second version of the transformation video. This time I moved the character into a real environment instead of using a plain white background. I also changed the opening and showed the final transformation result first. The overall flow feels much stronger now. Full workflow + prompts: The interesting part is that this type of video is much easier to make than it looks. You only need a base image, then generate the next keyframe through simple edits or outfit changes on the canvas. The entire transformation sequence is built from those keyframes.

I made a second version of the transformation video. This time I moved the character into a real environment instead of using a plain white background. I also changed the opening and showed the final transformation result first. The overall flow feels much stronger now. Full workflow + prompts: The interesting part is that this type of video is much easier to make than it looks. You only need a base image, then generate the next keyframe through simple edits or outfit changes on the canvas. The entire transformation sequence is built from those keyframes.

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312,445 次观看 • 1 个月前