deletions | additions       diff --git a/section_Methods_The_abbreviation_textsc__.tex b/section_Methods_The_abbreviation_textsc__.tex  index ec0fb18..cfd6e13 100644  --- a/section_Methods_The_abbreviation_textsc__.tex  +++ b/section_Methods_The_abbreviation_textsc__.tex 
...
\section{Methods}  The abbreviation \textsc{skv} when applied to auditory signals was derived from \textbf{SK}ewness over \textbf{V}ariable time, reflecting the measure of asymmetry, the \textit{Skewness} or \textit{third normalized moment}, and the technique of varying the time window over which this value was calculated. For image processing the \textbf{V} will stand for \textbf{V}ariable spatial frequency which also relates to the size of the window used.  The simplest form of the algorithm was used for all the results in this paper. For results derived from monochrome images each pixel is defined by three values $i,j,k$ where two coordinates  $i$ and $j$ are the row and column positions of the pixel respectively, and a single value  $k$ that  is the value of the pixel on the gray-scale from 0 (black) to 1 (white). Images are processed on a pixel-by-pixel basis and the \textsc{skv} value of each pixels is calculated thus: \begin{enumerate}  \item assemble the vector $\vec{k}_{j}$ of values for a horizontal window of $n$ contiguous pixels $k_{[i,j; i,j+1; i,j+n-1]}$  \item repeat with $\vec{k}_{i}$, a vector of values for a vertical window of $n$ pixels $k_{[i,j; i+1,j; i+n-1,j]}$  \item both vectors are normalized, so they can be treated as distributions, and the Skewness $\gamma$ of each distribution, \textit{i.e.} the asymmetry in the gray-scale values in both direction, is calculated, $\gamma_j$ and $\gamma_i$  \item the \textsc{skv} value of the pixel is the larger of the two values $\max(\gamma_j, \gamma_i)$  \end{enumerate} For colour pictures each pixel is defined by its coordinates and three values $k_R$, $k_G$, $k_B$,the same technique is used on one or more of the co