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Whats the difference between Brownian motion and Chaos?


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Does this belong in the Do you believe in God thread?


The desert is a true treasure for him who seeks refuge from men and the evil of men.
In it is contentment
In it is death and all you seek
(Quoted from "The Bleeding of the Stone" Ibrahim Al-Koni)

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?????
do you mean the mind before matter, or matter before mind stuff?


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Can you give an example of chaos in this exercise?


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If you work 40 hrs/wk: at 5% inflation and after 5 years, you need a 28% pay raise or to work 44 more hours (*one full extra week* per month+) to make up the difference.

This is inflation
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I stopped to think about it and..................................................


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Name one honest politician!
DEFINE Treason.
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Nietzsche said out of chaos comes order.

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Chaos is not necessarily random.

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Originally Posted by lostleader
Chaos is not necessarily random.
is Brownian motion?


The desert is a true treasure for him who seeks refuge from men and the evil of men.
In it is contentment
In it is death and all you seek
(Quoted from "The Bleeding of the Stone" Ibrahim Al-Koni)

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Brownian motion is when a chemical experiment gives unexpected results. Chaos is when the chemical experiment requires a fire extinguisher.


@jameslavish

If you work 40 hrs/wk: at 5% inflation and after 5 years, you need a 28% pay raise or to work 44 more hours (*one full extra week* per month+) to make up the difference.

This is inflation
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Originally Posted by erikj
Brownian motion is when a chemical experiment gives unexpected results. Chaos is when the chemical experiment requires a fire extinguisher.

😂👍

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My buddy had a Brownian sweet 16.

Was a nic9 gun


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Originally Posted by lostleader
Chaos is not necessarily random.

Chaos is never random


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Brownian motion is a beer fizzing over. Chaos is trying not to let any of it waste.

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Funny that I'm half way through Gleik's book when you ask.
Campfire butterfly effect?

Brownian motion might exist between fractional dimentions in a chaotic system? Or perhaps Brownian motion is a myth?


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Originally Posted by jimone
Funny that I'm half way through Gleik's book when you ask.
Campfire butterfly effect?

Brownian motion might exist between fractional dimentions in a chaotic system? Or perhaps Brownian motion is a myth?

excellent book.

correct fractional to fractal dimension and your on the right track. (they are not the same thing)


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y'all are gettin a bit spooky fer this place ya know.


The desert is a true treasure for him who seeks refuge from men and the evil of men.
In it is contentment
In it is death and all you seek
(Quoted from "The Bleeding of the Stone" Ibrahim Al-Koni)

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nonlinear systems rock, dude


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Originally Posted by jimone
nonlinear systems rock, dude
"They" started losing me when I read some book about string theory a few years back and I realized I was starting to grasp it.


The desert is a true treasure for him who seeks refuge from men and the evil of men.
In it is contentment
In it is death and all you seek
(Quoted from "The Bleeding of the Stone" Ibrahim Al-Koni)

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Originally Posted by Etoh
Whats the difference between Brownian motion and Chaos?

Brownian motion is akin to Liberals on Twitter... Tweeting about in random unison to their Master's influence/direction.

Chaos... is what happens when Musk buys Twitter


If you are not actively engaging EVERY enemy you encounter... you are allowing another to fight for you... and that is cowardice... plain and simple.



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Brownian motion is observed behavior which appears random

Chaos is described behavior where a system's sensitivity to inputs is so great that the result appears random

My guess

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Brownian motion is random by definition

Chaos is very ordered, what appears to be random, is the system moving into another "basin of attraction (stability).


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Originally Posted by Etoh
Brownian motion is random by definition

Chaos is very ordered, what appears to be random, is the system moving into another "basin of attraction (stability).
Brownian motion is random by definition..................yes.

But, is that because it hasn't been observed on a long enough time scale to see if it truly is?


The desert is a true treasure for him who seeks refuge from men and the evil of men.
In it is contentment
In it is death and all you seek
(Quoted from "The Bleeding of the Stone" Ibrahim Al-Koni)

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Originally Posted by Valsdad
Originally Posted by Etoh
Brownian motion is random by definition

Chaos is very ordered, what appears to be random, is the system moving into another "basin of attraction (stability).
Brownian motion is random by definition..................yes.

But, is that because it hasn't been observed on a long enough time scale to see if it truly is?

it is by definition, not by observation, its described statistically.

and I think you mean small enough scale-- this is called the bifurcation interval in Chaos theory


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Brownian motion produces the information harvested by Chaos into fractals, as Twitter harvests information from society into topics or snowflakes harvest water molecules from clouds to grow.


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Originally Posted by jimone
Brownian motion produces the information harvested by Chaos into fractals, as Twitter harvests information from society into topics or snowflakes harvest water molecules from clouds to grow.

pretty poetic but not accurate. Brownian motion is the physical discription of the Bell Curve. There are to types of fractals, iterated complex numbers, Julia,Mandelbrot,and Fiboccinai- The Disney mouse ears are a familiar one to most people. as I recall if you divide the iteration by the next smaller one it approaches the Golden Spiral. Another familiar example is the Butterfly wing analogy. The other types are Hopf bifurcations of the 2nd order and high order phase plots types.

Twitter and especially Google uses fuzzy logic AI chips to redefine the definition of sets. it "fuzzies" the definition of the topic so it may fit into the set. Ex. when does a river become long. instead of a hard set, ex. a river is long at 6mi.

programmers have a special name for this but it slips my memory set currently


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Used to be a roller coaster named Chaos at OpryLand USA but not to be confused with The Wabash Cannonball coaster. Of course there was also The Screamin’ Delta Demon too. Over near where them chickens played tit tack doe.

Myself I wouldn’t step foot in now so called amusement park with all of them whirly jigs. Rather be in walmarks.

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Nope. Brownian motion is the random motion of particles suspended in a fluid.


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Fractals are a way of describing a system of nonlinear equations which are self similar at different scales.


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Chaos is the way the dice of randomness are loaded, paraphrasing Gleick's quote of Joseph Ford in Chaos.

I find this to be a book that I will probably never realy finish, like Godel,Escher, Bach by Douglas Hofstadtler.

I inquired with a friend who met his wife at a Chaos convention and just retired from an illustrious career as a math professor. Will advise if he offers further enlightenment.

This is making my hair hurt so I am going to go randomize some particals of IMR4064 and hopefully produce some self-similar groups.

Last edited by jimone; 04/10/24.

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Could have sworn brownian motion was a good peaceful few minutes on the throne ,and chaos was running and hurry to drop the pants cause I am not sure I am going to get there in time.


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One is natural........


"...A man's rights rest in three boxes: the ballot box, the jury box and the cartridge box..." Frederick Douglass, 1867

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Originally Posted by jimone
Nope. Brownian motion is the random motion of particles suspended in a fluid.
You are wrong again, all the gas laws PV=muxRxT---- PV/T=P'V'/T'


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Originally Posted by jimone
Fractals are a way of describing a system of nonlinear equations which are self similar at different scales.

Julia sets, Hofstader sequences, Mandelbrot, and Fibicconci are , non-linear equations may or may not have scales of symmetry


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https://en.m.wikipedia.org/wiki/Brownian_motion

Self similar is not the same as symmetry.


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Originally Posted by jimone
Chaos is the way the dice of randomness are loaded, paraphrasing Gleick's quote of Joseph Ford in Chaos.

I find this to be a book that I will probably never realy finish, like Godel,Escher, Bach by Douglas Hofstadtler.

I inquired with a friend who met his wife at a Chaos convention and just retired from an illustrious career as a math professor. Will advise if he offers further enlightenment.

This is making my hair hurt so I am going to go randomize some particals of IMR4064 and hopefully produce some self-similar groups.

Gleick work is written at the layman level to introduce beginners to the concepts. If your really interested in self-organization get Herman Hakens book.

Your logic or Appeal to Authority is invalid.

While doing my post-doc work under Prof. Keener, UofU math depart. , he clearly defined the differences. Keener did the non-linear math work establishing the three dimension vectors for electrical circuits used in pace makers.
His book. Mathematical Physiology comes in 2 books and is put out by Springer.
The study material"
Ergodic Theory, Analysis and Efficient Simulation of Dynamical Sysems. Springer
Elements of Applie Bifurcation Theory. Springer
Dynamics and Bifurcations. Hale and Kocak. Springer.
Nonlinear System. Drazen. Cambridge texts in applied math.
Solitokns in Field Theory and Nonlinear Analysis. Springer

get back to me when you get caught up


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Originally Posted by jimone
Nope. Brownian motion is the random motion of particles suspended in a fluid.
Even the wikipedia reference you quote say liquid or gas

HOW DID YOU MISS IT?

go snort some more powder the nitro will dilate your blood vessels helping with your confusion


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Chaos theory has broad application. Your view appears focused on chemistry rather than the broader reality of paterns appearing throughout the universe. I don't pretend to understand how it jives with the second law of thermodynamics.

You seem snooty.


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Chaos is the bar, nonlinear is the drive home, and brownian is when you see the lights in the rearview mirror. Every college kid know this stuff. It always involves EtOH.


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Originally Posted by jimone
Chaos theory has broad application. Your view appears focused on chemistry rather than the broader reality of paterns appearing throughout the universe. I don't pretend to understand how it jives with the second law of thermodynamics.

You seem snooty.

Your lack of understanding for thermodynamics extends to other patterns in the universe.


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almost forgot , random noise is also in electrical systems known as "white noise"


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Hey Ethanol, why are you asking questions to which you apparently know the answer?


Yours in Liberty,

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Chemistry on the campfire...

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Originally Posted by Ben_Lurkin
Hey Ethanol, why are you asking questions to which you apparently know the answer?

Is that a rhetorical question?

seeing patterns in "things" - universe or something smaller is a basic human condition, as old as humans. Its called Apophenia, not good or bad its just there.

The campfire section offers a great variety of conspiracy theories, "black swam" maybes, etc. whether they are real or not is asking the question "If a tree falls in the forest if no one is there to hear it, did it really happen?". Doesn't really matter. Some are pretty interesting.

Last edited by Etoh; 04/10/24.

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Originally Posted by Etoh
Originally Posted by Ben_Lurkin
Hey Ethanol, why are you asking questions to which you apparently know the answer?

Is that a rhetorical question?

seeing patterns in "things" - universe or something smaller is a basic human condition, as old as humans. Its called Apophenia, not good or bad its just there.

The campfire section offers a great variety of conspiracy theories, "black swam" maybes, etc. whether they are real or not is asking the question "If a tree falls in the forest if no one is there to hear it, did it really happen?". Doesn't really matter. Some are pretty interesting.

No, but yours was. Your chosen topic isn’t really even a chemistry question, but one of probability theory. Just seems an odd topic for the Fire and more suited for graduates in Mathematics.

Carry on.


Yours in Liberty,

BL
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