Download A Planet Called Earth by George Gamow PDF

By George Gamow

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A Planet Called Earth

Hardback, ex-library, with ordinary stamps and markings, in solid all around situation.

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Let us consider an example of distribution function. Uniform distribution. A continuous random variable assumes all values from zero to unity f 2 1 0 ""`"¤`—`*T Fig. 4. with equal probabilities and cannot assume any other value. Obviously, within the interval (0, 1) the functionf (y) is independent of y and vanishes outside this interval (Fig. 4). Its value within the interval is easily olnlnainoil from the condition of normalization (1). ln this case A 4), I} 1, and the curvilinear trapezoiil is transformed into a rectangle with area f0·1, where fo is the value of the function within the interval, and the 44 Part I.

An infinite net contains an infinitely large number of large subnets, so that randomness ceases to play any role at all, and the value of xc is not a random variable but a certain quantity equal to xc: lim xc(_/I/"’) f-5x It is this limiting value that is in fact defined as percolation threshold, and it was for finding this threshold that Watson and Leath have conducted their experiment. Otherwise why should they have taken a wire mesh with nearly 19 OOO sites? They could have taken a 2 >< 2 wire mesh!

Your friend assures you that "only girls are born nowadays". His impression may stem from the fact that girls were born in three famil ie. that he visits. llowever, a regular pattern does exist. The regularity is observed to hold quite well in such large countries as the USSR or the USA, even if the data cover only one year. In contrast to tl1e problem with balls of different colors, the problem of male/female ratio in childbirth is very difficult to solve theoretically. However, the statistical data involved do reveal certain thoroughly analyzed properties of lrxnnan physiology.

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