New answers tagged probability
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Understanding entropy and its connection to probability distributions
The difference comes from the distinction between microstates and macrostates. It is the distribution over the microstates that is uniform. However, macrostates encompass many microstates with varying ...
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How thick would a coin have to be s.t. the probability to land on its "side" is exactly 1/3?
I'll try to generalize by reducing the case of different bouncing behaviors to the one proposed in the question.
With the prescribed rule, the coin bounces once, and only once. Suppose the bouncing ...
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How thick would a coin have to be s.t. the probability to land on its "side" is exactly 1/3?
Let $\theta$ denote the half-angle of the cone formed by the coin's center, the center of one of its faces (heads or tails), and a point on the edge of that face. The heads and tails surfaces ...
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Any fractal physical model that generates time series which demonstrate heavy-tailed (non-Gaussian) behavior in some form?
Brownian motion might qualify as the simplest physical example of a fractal time-series, but its fractal dimension (2) is a very very round number as far as fractal dimensions go. More general Lévy ...
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Difficulty with a scaling argument
I believe the "crack length distribution" $\sim w^\gamma$ is meant to be the probability that a single crack will have length $<w$. In other words, there are two subtle things here: (a) ...
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Probability density and wavefunction
The wave function tells you where you are most likely to find a particle. There are places where the probabilities are clustered in a higher density and places the probability density is lower. If you ...
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