this post was submitted on 23 May 2025
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Showerthoughts
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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. The most popular seem to be lighthearted clever little truths, hidden in daily life.
Here are some examples to inspire your own showerthoughts:
- Both “200” and “160” are 2 minutes in microwave math
- When you’re a kid, you don’t realize you’re also watching your mom and dad grow up.
- More dreams have been destroyed by alarm clocks than anything else
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and again, in the definition you just pasted in there does not say anything about closed form solutions. You keep contradicting yourself in trying to die on that hill
It's implicit in the method. There also isn't a definition of computability in the papers or Wikipedia because it assumes you have a basic understanding.
Chaotic functions require that you iteratively step through them because they aren't closed form.
"For chaotic systems the evolution equations always include nonlinear terms,5 which makes “closed-form” solutions of these equations impossible—roughly, a closed-form solution is a single formula that allows one to simply plug in the time of the desired prediction into the equation and determine the state of the system at that time."
https://www.sciencedirect.com/topics/agricultural-and-biological-sciences/chaos-theory#%3A%7E%3Atext=For+chaotic+systems+the+evolution%2Cthe+state+of+the+system
I last wrote a paper on chaos in a mechanical system 35 years but I haven't forgotten the basics.