Hello Mastodon/Qoto hoping there will be some interesting conversations here and less meglomaniacs pretending they're the savior of humanity.

Been doing web development for almost 20 years, currently working with / , , , , and .

I'm interested in , , , , , and .

I have thoughts on and our current moment, but I'm feeling gluttonous at almost 500 chars for my first toot.

@gooseus Welcome to the Fediverse and , there I followed you!

Please share with us anything about complexity and computer science, which I am a big fan of :)

For what I am seeing, it can be quite complicated to get used to (I started some days ago) but I already feel very confortable using Mastodon compared to the .

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@abde Hello, thanks for the welcome! It's been interesting so far, only been a couple of days, but it def feels more conversational and less like everyone just shouting into the void and bracing for a response.

On complexity, I like to share a book on the Collapse of Complex Societies by Joseph Tainter -- archive.org/details/TheCollaps

His thesis is that civs grow and evolve to become more complex as they need to solve increasingly complex problems, as well as maintaining the solutions to the previous complex problems.

Eventually this reaches the point where new solutions produce diminishing returns given the amount of effort; growth slows and turns into stagnation as the previous solutions aren't maintained (infrastructure, rule of law) and the civ begins to unravel until an external event that was manageable before, breaks the whole system (war, cataclysm, etc).

When it comes to computer science, I find the questions of computabiity and complexity as it relates to how the ability to compute scales with their size of the input(s) ... this relates to the first interest in collapse because I think of civilization itself as a computational system underneath all the shouting, laughing, fighting, eating, sleeping, and sex.

Tell me more about numerical simulations! I was in a PhD program for a minute before COVID kinda blew up my life. I was working on a paper doing categorical analysis of patterns in prime numbers.

@gooseus Alright, I had the definition of computational complexity in my mind when you mentioned it hehe, but it's still very interesting!

Indeed it can be related to computational complexity, moreover I can see that fitting more in dynamic systems actually. There are many theories that try to model societies, but I am not (at all) an expert on that. The logistic equation is a basic example of population evolution in a complex system with multiple communities!

My thesis is more about numerical approximations of partial differential equations that can represent a model of a physical phenomenon... mostly applied to fluid simulations, for example. The algorithm behind it is the finite element method, where the continuous differential equation is discretized in order to compute it on computers (basically). I actually ported it to the GPUs in order to accelerate it, you may check the paper here: etna.math.kent.edu/volumes/202

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