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If you try to "magic eye" it, it shimmers!

It's my favorite of the iteration functions I explored: (x,y)=(x-t*tan(y),x).
The squares have a side length of pi, due to tan of course.
Squares below each other would actually look the same since it does only depend on y%pi via tan. So I discretely jumped my t-value from 1.1 over 1 to 0.9.

#mathart #codeart #fractal #blackandwhite #dynamicalsystem #mastoart

This palette took me by surprise. 😅

Movie not compressable to masto size, so stills it is!

#mastoart #codeart #dynamicalsystem #attractor #fractal (mostly) #blackandwhite

Bogdanov Map, I am so glad I found you!

#mastoArt #codeArt #dynamicalsystem #attractor #bogdanov

@karlo

The #state I’m talking about is the present state of every living #DynamicalSystem which is controlled by the closed autopoietic process of #growth and #learning:

#Meaning is usually described with #VectorSpace #Semantics as in the article below comparing the works from #CAShannon and #AMTuring:

https://www.journals.uchicago.edu/doi/full/10.1093/bjps/axx029

Basically, what vector space semantics says is that the meaning of a message depends on the #Context provided by the sender’s and the receiver’s #DynamicalSystem #Knowledge #State.

As they are two different physical entities they will obviously be in different states, so the two meaning can never be exactly the same.

For modelling non-linear dynamical systems on a mesh, you can "lift" the states using some function such that you have a linear operation in a higher dimensional space. Koopman operators are the linear operators in Hilbert spaces, and recently neural networks have been applied to learn system dynamics in this space. This paper proposes a pytorch module for Koopman Neural Operators.

#MachineLearning #DynamicalSystem #NeuralOperators
https://arxiv.org/abs/2301.01104

@systemspractitioner

I understand many people are comfortable with VSM but I never used it and I find it cumbersome and complicated to understand. I worked with companies using #CMMI, #ISO, #6Sigma, #SCRUM, along with a few other standards and frameworks and, apart from my #DynamicalSystem model, which I use to explain practically everything these days 😀, I try not to have strong preferences for specific tools and frameworks and try to learn first how what the company is currently using and familiar with can be re-used, tweaked or augmented to achieve their goals for the future.

@bbak @kironbondale @joeposaurus

Where did you get the idea that I equate policies and culture?

Stories songs, and other documents are never just a description of the culture that created them. As you correctly identified, when they are accepted by the masses as a #Standard, they can be a powerful means for culture specific motivation and control (constraint).

In the end, it really does not matter if your organization is a #Kanban, a #Scrum, or some other #Culture. Every (people) organization is a #DynamicalSystem with #Memory.

Can someone point me to any literature on the use of Proper Orthogonal Decomposition (POD) /SVD in any dynamical problem other than fluid dynamics? Also excluding the uses in image processing/analysis. Thanks in advance!

#machinelearning #dynamicalsystem
#dynamicalsystems
#modeling
#reducedordermodel
#fluiddynamics

#arxivfeed :

"A Novel Hypothesis for Migraine Disease Mechanism: The Creation of a New Attractor Responsible for Migraine Disease Symptoms"
https://www.biorxiv.org/content/10.1101/2022.11.13.516319v1

#ComputationalNeuroscience #neuroscience #neuro #neuroimaging #EEG #DynamicalSystem #attractor #migraine