For example, atoms have a random distribution in a liquid, so a liquid remains the same as we displace atoms by an arbitrary distance.
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One of the best studies proving the non-random distribution and insertion of NUMTs in the nuclear genome is done by Tsuji and his teammates.
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Assuming a purely random distribution of wars between states, regardless of their democratic character, the predicted number of conflicts between democracies would be around ten.
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The probability density function ( pdf ) of the normal distribution, also called Gaussian or " bell curve ", the most important continuous random distribution.
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Initially, it is necessary to use a large M due to the need to cover the entire map with a uniformly random distribution of particles.
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More broadly, Madden and Hughes considered the power law as the relationship between two variances, the observed variance and the theoretical variance for a random distribution.
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These results suggest that rather than a single regression line for the data set, a segmental regression may be a better model for genuinely random distributions.
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As Aristotle put it, " a random distribution of the most attractive colors would never yield as much pleasure as a definite image without color ."
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In fact, given the known limitations of a road network, a truly random distribution would be impossible, as long as vehicles were sufficiently close together to interact.
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This model, and a few other well-known population models, can be explicitly derived from individual-level processes assuming contest competition and a random distribution of individuals among resources.
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