Pushing numerical integration routines to their limits
The previous post discussed the functions as test cases for plotting. This post will look at using the same functions as test cases for integration. As you can see from the plot of f30(x) below, the function is continuous, but the derivative of the function has a lot of discontinuities.
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Read moreTeam GPT: Simulating Multi-agent Collaboration With Role-playing Prompts
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Read morePlotting a function with a lot of local minima
Stefan Steinerberger defines “an amusing sequence of functions” in [1] by Here’s a plot of f30(x): As you can see, fn(x) has a lot of local minima, and the number of local minima increases rapidly with n. Here’s a naive attempt to produce the plot above using Python. from numpy
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Read moreAll the things Apple Sherlocked at WWDC 2023
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