Programming Throwdown

165: Differential Equations

09.25.2023 - By Patrick Wheeler and Jason GauciPlay

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Intro topic: Revisiting the power of Spreadsheets

News/Links:

LK-99 Isn’t a Superconductorhttps://www.nature.com/articles/d41586-023-02585-7Normalizing Flowshttps://pyro.ai/examples/normalizing_flows_i.htmlHow is llama.cpp possible?https://finbarr.ca/how-is-llama-cpp-possible/Chat with open source large language modelshttps://chat.lmsys.org/

Book of the ShowPatrick: Math with Bad Drawings by Ben Orlinhttps://amzn.to/44dsgDzJason: Overboard! https://play.google.com/store/apps/details?id=com.InkleLtd.Overboard Nhl=en_US≷=US Patreon Plug https://www.patreon.com/programmingthrowdown?ty=h

Tool of the ShowPatrick: ffmprovisr https://amiaopensource.github.io/ffmprovisr/Jason:Pandas read_ods() read_excel()Topic: Differential Equations

Why should programmers learn about DiffEqLaw of Large NumbersWhat are differential equations?When you know the rate of changeEigenVectors & EigenValuesWhat is Jacobian What is Jacobian? | The right way of thinking derivatives and integrals

Special casesPartial Differential EquationsOrdinary Differential EquationsWhy solvers are importantNumerical Stability at larger step sizesExample: https://medium.com/@pukumarathe/eulers-method-and-runge-kutta-4th-order-method-in-python-b4a0068a8ebe Fun ExamplesPredator-Prey relationships in scipyhttps://scientific-python.readthedocs.io/en/latest/notebooks_rst/3_Ordinary_Differential_Equations/02_Examples/Lotka_Volterra_model.html Physics Engines for gameshttps://youtu.be/52n2qKgwW_Q PageRankhttps://arxiv.org/pdf/2001.08973.pdf 

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