Archive image from page 13 of A digital analysis of internal A digital analysis of internal waves at Ocean Station P. digitalanalysiso00denh Year: 1969 III. OBTAINING THERMOCLINE DEPTHS A. THE GAUSSIAN THERMOCLINE A gaussian, or normal, distribution of temperature (T) as a function of elevation (Z) is given by the equation where Z is positive upwards. The frequency function corresponding to this distribution function is dTZ) _ 1 -4 tiZ 'V2ir Using a basic statistical approach, defining a normalized variable y, _ Z-m a where m is the mean of the Z values, and CT is the standard deviation o
Archive image from page 13 of A digital analysis of internal A digital analysis of internal waves at Ocean Station P. digitalanalysiso00denh Year: 1969 III. OBTAINING THERMOCLINE DEPTHS A. THE GAUSSIAN THERMOCLINE A gaussian, or normal, distribution of temperature (T) as a function of elevation (Z) is given by the equation where Z is positive upwards. The frequency function corresponding to this distribution function is dTZ) _ 1 -4 tiZ 'V2ir Using a basic statistical approach, defining a normalized variable y, _ Z-m a where m is the mean of the Z values, and CT is the standard deviation of the array of Z values, we obtain a new frequency function which is (Z-m)2 clT(Z)_ 1 p? dZ oV2ir This function has the following characteristics: 1. It is symmetric about the point Z = m 2. It has two symmetric points of inflection at Z = m-CT 3. It has a maximum rate of change at Z = m-G'V-3 A change in the numerical value of m causes a displacement of the curve in the vertical direction, but does not alter its form. 10
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