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Currently Playing: 165: Differential Equations

Intro topic: Revisiting the power of Spreadsheets News/Links: • LK-99 Isn’t a Superconductor • https://www.nature.com/articles/d41586-023-02585-7 • Normalizing Flows • https://pyro.ai/examples/normalizing_flows_i.html • How is llama.cpp possible? • https://finbarr.ca/how-is-llama-cpp-possible/ • Chat with open source large language models • https://chat.lmsys.org/ Book of the Show • Patrick: Math with Bad Drawings by Ben Orlin • https://amzn.to/44dsgDz • Jason:  • Overboard! https://play.google.com/store/apps/details?id=com.InkleLtd.Overboard Nhl=en_US&gl=US (https://play.google.com/store/apps/details?id=com.InkleLtd.Overboard&hl=en_US&gl=US)   Patreon Plug https://www.patreon.com/programmingthrowdown?ty=h Tool of the Show • Patrick:  • ffmprovisr https://amiaopensource.github.io/ffmprovisr/ • Jason: • Pandas read_ods() read_excel() Topic: Differential Equations • Why should programmers learn about DiffEq • Law of Large Numbers • What are differential equations? • When you know the rate of change • EigenVectors & EigenValues • What is Jacobian What is Jacobian? | The right way of thinking derivatives and integrals (https://youtu.be/wCZ1VEmVjVo) • Special cases • Partial Differential Equations • Ordinary Differential Equations • Why solvers are important • Numerical Stability at larger step sizes • Example: https://medium.com/@pukumarathe/eulers-method-and-runge-kutta-4th-order-method-in-python-b4a0068a8ebe  • Fun Examples • Predator-Prey relationships in scipy • https://scientific-python.readthedocs.io/en/latest/notebooks_rst/3_Ordinary_Differential_Equations/02_Examples/Lotka_Volterra_model.html  • Physics Engines for games • https://youtu.be/52n2qKgwW_Q  • PageRank • https://arxiv.org/pdf/2001.08973.pdf  ★ Support this podcast on Patreon ★ (https://www.patreon.com/programmingthrowdown)