165: Differential Equations

Programming Throwdown

Patrick Wheeler and Jason Gauci, Patrick Wheeler, and Jason Gauci द्वारा प्रदान की गई सामग्री. एपिसोड, ग्राफिक्स और पॉडकास्ट विवरण सहित सभी पॉडकास्ट सामग्री Patrick Wheeler and Jason Gauci, Patrick Wheeler, and Jason Gauci या उनके पॉडकास्ट प्लेटफ़ॉर्म पार्टनर द्वारा सीधे अपलोड और प्रदान की जाती है। यदि आपको लगता है कि कोई आपकी अनुमति के बिना आपके कॉपीराइट किए गए कार्य का उपयोग कर रहा है, तो आप यहां बताई गई प्रक्रिया का पालन कर सकते हैं https://hi.player.fm/legal।

2y ago 1:16:43

MP3•एपिसोड होम

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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