Fun With Gaussians

this paper. The Central Limit Theorem explains why the normal distribution is so commonly , r observed: it is a mathematical consequence of having numerous sources of noise egardless of each one's character. In the words of Henri Poincare [Newman56a] : v We need know only one thing: that the errors are very numerous, that they are ery slight, that each may be as well negative as positive. What is the curve s s of probability of each of them? We do not know; we only suppose that it i ymmetric. We prove then that the resultant error will follow Gauss' law, and . H this resulting law is independent of the particular laws which we do not know ere again the simplicity of the result is born of the very complexity of the