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#BrownianMotion

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doboprobodyne<p><span class="h-card" translate="no"><a href="https://mastodon.social/@256" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>256</span></a></span> </p><p>56KBPS?! That's madness. That defies the Shannon Limit. No good can come of this.</p><p><a href="https://mathstodon.xyz/tags/noise" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>noise</span></a> <a href="https://mathstodon.xyz/tags/brownianMotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>brownianMotion</span></a> <a href="https://mathstodon.xyz/tags/randomness" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>randomness</span></a> <a href="https://mathstodon.xyz/tags/modem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>modem</span></a> <a href="https://mathstodon.xyz/tags/Shannon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Shannon</span></a> <a href="https://mathstodon.xyz/tags/Weiner" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Weiner</span></a> <a href="https://mathstodon.xyz/tags/Copper" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Copper</span></a> <a href="https://mathstodon.xyz/tags/Analog" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analog</span></a> <a href="https://mathstodon.xyz/tags/Analogue" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analogue</span></a></p>
Tipa<p>Bienvenue à monsieur Minuit, mon nouveau chat noir</p><p>Well, that's about all the French I know...</p><p><a href="https://chasingdings.com/2024/07/17/bienvenue-a-monsieur-minuit-mon-nouveau-chat-noir/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">chasingdings.com/2024/07/17/bi</span><span class="invisible">envenue-a-monsieur-minuit-mon-nouveau-chat-noir/</span></a></p><p><a href="https://gamepad.club/tags/Cats" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cats</span></a> <a href="https://gamepad.club/tags/RealLife" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>RealLife</span></a> <a href="https://gamepad.club/tags/BrownianMotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BrownianMotion</span></a> <a href="https://gamepad.club/tags/houseflies" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>houseflies</span></a> <a href="https://gamepad.club/tags/PartialPressure" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PartialPressure</span></a></p>
Norobiik @Norobiik@noc.social<p>One consequence of the new approach is that at the human scale, <a href="https://noc.social/tags/gravity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>gravity</span></a> is entirely <a href="https://noc.social/tags/Newtonian" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Newtonian</span></a>. But another is that at galactic scales, the acceleration due to gravity can vary by a small but random amount, as if <a href="https://noc.social/tags/spacetime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>spacetime</span></a> were eliciting some kind of <a href="https://noc.social/tags/BrownianMotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BrownianMotion</span></a> on the masses within it - generating the extra <a href="https://noc.social/tags/GravitationalForce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GravitationalForce</span></a> that holds galaxies together.</p><p>Spacetime's "Brownian Motion" Could Spell The Death of <a href="https://noc.social/tags/DarkMatter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>DarkMatter</span></a><br><a href="https://www.discovermagazine.com/the-sciences/spacetimes-brownian-motion-could-spell-the-death-of-dark-matter" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">discovermagazine.com/the-scien</span><span class="invisible">ces/spacetimes-brownian-motion-could-spell-the-death-of-dark-matter</span></a></p><p>MSN link: <a href="https://www.msn.com/en-us/news/technology/spacetime-s-brownian-motion-could-spell-the-death-of-dark-matter/ar-BB1jIxWG?ocid=emmx-mmx-feeds&amp;PC=EMMX01" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">msn.com/en-us/news/technology/</span><span class="invisible">spacetime-s-brownian-motion-could-spell-the-death-of-dark-matter/ar-BB1jIxWG?ocid=emmx-mmx-feeds&amp;PC=EMMX01</span></a></p>
codeismycanvas<p>I'm going to give <a href="https://universeodon.com/tags/genuary" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>genuary</span></a> a try this year. I probably won't get to every prompt, but it will be fun branching out from my usual fractal work.</p><p>For <a href="https://universeodon.com/tags/genuary1" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>genuary1</span></a> - "Particles", I immediately think Brownian Motion. This image traces Brownian Motion of several sets of particles.<br>Each particle within a same-colored set follows the same overall motion, but with slight randomness added for the string-like effect.<br>Even the background is made of Brownian motion of many particles at a much shorter step size.</p><p><a href="https://universeodon.com/tags/particles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>particles</span></a> <a href="https://universeodon.com/tags/brownianmotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>brownianmotion</span></a> <a href="https://universeodon.com/tags/generative" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>generative</span></a> <a href="https://universeodon.com/tags/creativecoding" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>creativecoding</span></a></p>
Francis Ho<p>Particles obeying stochastic process equations that evolve forward and backward in time! See this post:👇</p><p><a href="https://freeenergy.blog/2023/BrownianMotionCalcs.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">freeenergy.blog/2023/BrownianM</span><span class="invisible">otionCalcs.html</span></a></p><p><a href="https://hachyderm.io/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://hachyderm.io/tags/probability" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>probability</span></a> <a href="https://hachyderm.io/tags/stochastic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>stochastic</span></a> <a href="https://hachyderm.io/tags/BrownianMotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BrownianMotion</span></a></p>
Francis Ho<p>My distance and number of steps for a walk are approximations of the variation over the interval of my location, AKA total variation. </p><p><a href="https://en.wikipedia.org/wiki/Total_variation" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.wikipedia.org/wiki/Total_va</span><span class="invisible">riation</span></a></p><p>They are finite because even though you may think it is so, I am not really doing a random walk (which would have infinite variation and finite quadratic variation). 😎</p><p><a href="https://hachyderm.io/tags/BrownianMotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BrownianMotion</span></a> <a href="https://hachyderm.io/tags/stochasticCalculus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>stochasticCalculus</span></a></p>
katch wreck<p>in many ways, <a href="https://mastodon.social/tags/mathematical" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematical</span></a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>physics</span></a> is based on the <a href="https://mastodon.social/tags/smoothing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>smoothing</span></a> properties of the <a href="https://mastodon.social/tags/integral" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>integral</span></a> </p><p><a href="https://mastodon.social/tags/integrableSystems" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>integrableSystems</span></a> <a href="https://mastodon.social/tags/mathematicalPhysics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematicalPhysics</span></a> <a href="https://mastodon.social/tags/complexAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>complexAnalysis</span></a> <a href="https://mastodon.social/tags/spectralTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>spectralTheory</span></a> <a href="https://mastodon.social/tags/harmonicAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>harmonicAnalysis</span></a> <a href="https://mastodon.social/tags/functionalAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>functionalAnalysis</span></a> <a href="https://mastodon.social/tags/mathematicalAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematicalAnalysis</span></a> <a href="https://mastodon.social/tags/differentialEquations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>differentialEquations</span></a> <a href="https://mastodon.social/tags/ODEs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ODEs</span></a> <a href="https://mastodon.social/tags/PDEs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PDEs</span></a> <a href="https://mastodon.social/tags/SDEs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SDEs</span></a> <a href="https://mastodon.social/tags/DEs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>DEs</span></a> <a href="https://mastodon.social/tags/equations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>equations</span></a> <a href="https://mastodon.social/tags/BrownianMotion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BrownianMotion</span></a> <a href="https://mastodon.social/tags/LangevinDynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>LangevinDynamics</span></a> <a href="https://mastodon.social/tags/dynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>dynamics</span></a> <a href="https://mastodon.social/tags/Langevin" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Langevin</span></a> <a href="https://mastodon.social/tags/StochasticDifferentialEquations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>StochasticDifferentialEquations</span></a> <a href="https://mastodon.social/tags/StochasticProcesses" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>StochasticProcesses</span></a> <a href="https://mastodon.social/tags/WienerProcess" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>WienerProcess</span></a> <a href="https://mastodon.social/tags/OrnsteinUhlenbeck" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>OrnsteinUhlenbeck</span></a> <a href="https://mastodon.social/tags/HarmonicOscillator" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HarmonicOscillator</span></a> <a href="https://mastodon.social/tags/WaveEquation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>WaveEquation</span></a> <a href="https://mastodon.social/tags/Newton" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Newton</span></a> <a href="https://mastodon.social/tags/Newtonian" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Newtonian</span></a> <a href="https://mastodon.social/tags/Maxwell" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Maxwell</span></a> <a href="https://mastodon.social/tags/Einstein" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Einstein</span></a></p>
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