English sentences with brownian motion in context,

A single calcium ion moving around due to Brownian motion, does not carry interesting information in it self.
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Excuse me while I go make myself a nice, strong brownian motion producer.
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Albert Einstein released several important papers, including ones on Brownian Motion (his doctoral thesis) and special relativity.
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Even a random event (Brownian motion for example) is driven by a transition from its previous state to a new state.
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The previous state is thus the past, and the seeds driving that random transition (heat and moisture in the case of Brownian motion) were set in place in the past.
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The reason why chemical substances go into equilibrium is physical molecular movement, in physiological systems most notably Brownian motion, due to which species at least within a fluid or a solution spread out evenly; an increase of entropy is the consequence.
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Time-discounted geometric Brownian motion is a martingale, so this is true in the same sense that every time you flip Heads gets you one step closer to flipping a Tails (assuming the market is efficient and behaves like GBM).
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I recently went to a city that wasn't NYC (I live in NYC, the rules of pedestrian traffic are LAW (not literally)) and was SO frustrated by the like... lazy brownian motion of all the other pedestrians.
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In fact brownian motion is often modeled using a diffusion equation and the heat equation is really just a special case of that.
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Say, for a Brownian motion process of position, in which the position variable also depends on a Brownian motion process of time.
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I fail to see the connection between Brownian motion and Einstein's later work on relativity.
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Of critical importance is that the number of particles undergoing Brownian motion in the system is kept very low so that only the diffusive nature of the system is present.
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For the curious, the base of the noise being animated is a radial gradient with a power of two dropoff and x and y each distorted separately by fractional Brownian motion of 8 octaves, and the absolute value of each octave is taken to give the wavy tendril nature of the noise.
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I just think using a word like "pushed" loses the concept that the forms spread over a complexity landscape like air molecules spreading via brownian motion.
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Brownian motion is a diffusion related concept, but we're talking about mixing which is dispersion.
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stochastic P.D.E's & brownian motion!
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Brownian Motion is the coolest.
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That is, if you wanted to simulate a particle diffusing with brownian motion, you could simply draw random values from a normal distribution (centered at zero) and add those values to the particle's current location.
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Rather, I'm referring to the sort of errors caused by the floppiness and flexibility of biomolecules, as well as their, for lack of a better word, wiggliness -Brownian motion, essentially.
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For all practical purposes, Brownian motion is essentially random, so I consider this sort of mutation to be random as wwell.
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Thesecond we work together we're bumping into each other like particles in Brownian motion.
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For terrain generation you want to look up Fractional Brownian Motion or FBM.
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Would Brownian motion suffice?
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Brownian motion is random movement and the universe is aware of itself, through us.
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In space without this pressure, the brownian motion of the liquid takes over and it will knock all its particles away.
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I have a little familiarity with Brownian motion and random physical phenomena and pseudorandom algorithms.
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Genuine randomness which comes from physical systems like Brownian motion is generally considered "expensive;" that is, it takes a long time to generate a useful number of random bits.
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One approach is to generate it externally (Brownian motion).
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Sometimes it felt like people behaved according to Brownian motion in crowded spaces.
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It's unfortunately common to conflate "Perlin noise" and "fractional Brownian motion applied to Perlin noise" as the same thing, but they aren't.
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The fractional Brownian motion is an extra step beyond the Perlin noise itself.
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Brownian motion is stochastic and not chaotic.
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Brownian motion."
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I think you can describe Brownian motion as a Gaussian process (normal distribution) so wouldn't be surprised if doing a loop like you described with a normal distribution generator would give the same results.
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It's relatively simple to code - So I suspect that they probably did not factor Brownian motion into it.
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Log normal Brownian motion lol
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In his work on Brownian motion, he independently rederived areas of statistical mechanics that he hadn't been exposed to.
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"The first unequivocal description of the cell nucleus was made by a Czech, Franz Bauer, in 1802 and was given its name in 1831 by Robert Brown (1773–1858) of Scotland, who is best remembered for discovering the random "Brownian" motion of molecules.
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I've always thought of economics (and most of sociology) as being analogous to Brownian motion.
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Osh had this, but Baker's Brownian Motion scheme was slept on
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Brownian motion in dota.
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I've seen it for a Weiner process/Brownian motion but not for this kind of Gaussian random walk, especially if the gaussians are not centered
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This isn't to change the status of the wrongness of fraud: fraud would be no less paradigmatically wrong for having an analysis than ice became less paradigmatically cold once we figured out Brownian motion and the mechanics of heat.
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Ah jeez, I treated this as a brownian motion problem.
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Eg, given several experiments and things like brownian motion, we decided to include atoms in our ontology.
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Of critical importance is that the number of particles undergoing Brownian motion in the system is kept very low so that only the diffusive nature of the system is present.
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If we knew what was going to happen next we wouldn't model derivatives on Brownian motion.
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Everything he built upon in his papers (Brownian motion, Planck's blackbody formulas, the photo-electric effect, the work of Lorenz, Fitzgerald, Michaelson, Newton, Maxwell, etc) were well-known in the literature at the time.
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