| | Central limit theorem (Site not responding. Last check: 2007-10-08) |
 | | But, this limit is just the characteristic function of a standard normal distribution, N(0,1), and the central limit theorem follows from the Lévy continuity theorem, which confirms that the convergence of characteristic functions implies convergence in distribution. |
 | | Thus the central limit theorem can be interpreted as a statement about the properties of density functions under convolution: the convolution of a number of density functions tends to the normal density as the number of density functions increases without bound, under the conditions stated above. |
 | | Determination of the plastic limit and plasticity index for soil The plastic limit is that moisture content of a soil at which it becomes too dry to be plastic, used together with the liquid limit to determine the plasticity index which when plotted against the liquid limit on the plasticity chart enables the clas |
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