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jamie-wong.com
| | ataspinar.com

[latexpage] In this blog-post we will have a look at how Differential Equations (DE) can be solved numerically via the Finite Differences method. By solving differential equations we can run simula...
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| | andrewkchan.dev

[AI summary] The text provides an in-depth explanation of simulating fluids and fire using computational methods. It covers topics like Navier-Stokes equations, vorticity confinement, curl noise turbulence, combustion models, thermal buoyancy, and rendering techniques. The discussion includes both theoretical foundations and practical implementations using GPU-based simulations. The text also touches on advanced topics like dynamic obstacles and non-grid-based simulation methods.
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| | ciphrd.com

[latexpage] In this article I will describe a particle simulation that can produce different types of matter based on different input rules. This simulation is based on physical properties and physical rules but the rules were altered in a way that allows for the emergence of intriguing natural-like patterns. The implementation of part 1 and 2 will be done in Processing and the source code will be available at the end. The following illustrations demonstrates a few possible usages for this simulation.
3.3 parsecs

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| | thenumb.at

Or, where does that \(\sin\theta\) come from? Integrating functions over spheres is a ubiquitous task in graphicsand a common source of confusion for beginners. In particular, understanding why integration in spherical coordinates requires multiplying by \(\sin\theta\) takes some thought. The Confusion So, we want to integrate a function \(f\) over the unit sphere. For simplicity, lets assume \(f = 1\). Integrating \(1\) over any surface computes the area of that surface: for a unit sphere, we should end...
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