Logarithmic Properties Research Articles

1784. The logarithmic and exponential properties as particular cases of general relations

1784. The logarithmic and exponential properties as particular cases of general relations

Logarithmic Properties of a Power of x

Logarithmic Properties of a Power of x

Application of Logarithmic Moments to Size Frequency Distributions of Sediments

ABSTRACT A symbol for the negative logarithm of grain diameters to the base 2 is introduced as a device for statistical computation. The advantages of the symbol are that it simplifies geometric grade scales, it permits the application of common statistical procedures to the data, and yet it yields directly a series of values which express the logarithmic properties of the size frequency curve. By means of a simple chart the logarithmic values may be converted to their diameter equivalents it desired. An example is included of the application of the symbol to a statistical technique based on the moments of the distributions, and the significance of the measures thus obtained is discussed.