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
Rules
- All posts must be showerthoughts
- The entire showerthought must be in the title
- No politics
- If your topic is in a grey area, please phrase it to emphasize the fascinating aspects, not the dramatic aspects. You can do this by avoiding overly politicized terms such as "capitalism" and "communism". If you must make comparisons, you can say something is different without saying something is better/worse.
- A good place for politics is c/politicaldiscussion
- Posts must be original/unique
- Adhere to Lemmy's Code of Conduct and the TOS
If you made it this far, showerthoughts is accepting new mods. This community is generally tame so its not a lot of work, but having a few more mods would help reports get addressed a little sooner.
Whats it like to be a mod? Reports just show up as messages in your Lemmy inbox, and if a different mod has already addressed the report, the message goes away and you never worry about it.
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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.
but you're still wrong
You still don't understand the links you are providing. Fuck, just read the English words even if you don't understand the math.
"We aim to present reversible systems which lie on the border of solvability/integrability and chaos."
The intro says it's not chaotic but a function that borders on chaotic.
"We adjusted the precision in such a way that the true initial data and the result of this round trip did not differ by more than 10−3."
Their function isn't even reversible but only allows for an approximation of reversibility.
Conclusion:
"We have shown that there exist infinite families of rational maps which, at the same time, have positive algebraic entropy, present features of chaos, and are solvable."
FEATURES OF CHAOS ISN'T CHAOS.