. A digital analysis of internal waves at Ocean Station Oceanography. 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 c
. A digital analysis of internal waves at Ocean Station Oceanography. 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. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Denham, Denny Jackson. Monterey, California: U. S. Naval Postgraduate School
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