165: Differential Equations
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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)

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)

• 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)

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