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Brownian motion: Quiz


Question 1: However, it was ________ (in his 1905 paper) and Marian Smoluchowski (1906) who independently brought the solution of the problem to the attention of physicists, and presented it as a way to indirectly confirm the existence of atoms and molecules.
Albert EinsteinRelationship between religion and scienceScientific methodIsaac Newton

Question 2: Red noise, also known as brown noise (________ proposed this name for sound generated with random intervals.
Martin GardnerNew AgeCharles FortJames Randi

Question 3:
Brownian motion, Rani Lakshmibai and Revelstoke, British Columbia are all:
Colloidal chemistry Robert Brown (botanist) Statistical mechanics All pages needing cleanup

Question 4: The diffusion equation yields an approximation of the time evolution of the ________ associated to the position of the particle undergoing a Brownian movement under the physical definition.
Normal distributionProbability distributionProbability density functionCumulant

Question 5: Let X = (X1, ..., Xn) be a continuous stochastic process on a ________ (Ω, Σ, P) taking values in Rn.
Probability spaceProbability theoryMeasure (mathematics)Event (probability theory)

Question 6:
Brownian motion, Fractal and Mandelbrot set are all:
Fractals Statistical mechanics Robert Brown (botanist) Colloidal chemistry

Question 7: The importance of the theory lay in the fact that it confirmed the kinetic theory's account of the second law of ________ as being an essentially statistical law.
EntropyThermodynamic equationsThermodynamicsStatistical mechanics

Question 8: Unlike the random walk, it is ________.
Scale invariancePhysicsUniversality (dynamical systems)Navier–Stokes equations

Question 9:
Brownian motion, Monte Carlo method and Boltzmann constant are all:
Fractals Statistical mechanics Colloidal chemistry Robert Brown (botanist)

Question 10: The infinitesimal generator (and hence characteristic operator) of a Brownian motion on Rn is easily calculated to be ½Δ, where Δ denotes the ________.
IntegralGradientCurl (mathematics)Laplace operator


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