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Symbols and Abbreviations










        Global Symbols


                       number of features or primitives
                       number of classes or clusters
                       number of patterns
                       number of weights
                       class or cluster i,  i=l, ... , c
                       number of patterns of class or cluster mi
                       weight i
                       bias
                       approximation error
                       pattern set
                       class set



         Mathematical Symbols

                       variable
                       value of x  at iteration r
                       i-th component of vector or string x
                       i-th component of vector xk
                       vector (column) or string
                       transpose vector (row)
                       vector x increment
                       inner product of x and y
                       i-th row, j-th column element of matrix A
                       matrix
                       transpose of matrix A
                       inverse of matrix A
                       determinant of matrix A
                       pseudo inverse of matrix A
                       identity matrix
                       factorial of k, k!= k(k-l)(k-2)  ... 2.1
                       combinations of n elements taken k at a time

                       derivative of E relative to w evaluated at w*
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