This theory on semi-equivalence r e l a t i o n s is an important and useful tool for i n v e s t i g a t i n g c l a s s i f i c a t i o n , pattern r e c o g n i t i o n , p o l...
By a very simple argument, we prove that if l, m, n {0, 1, 2, . . . } then l k=0 (-1)m-k l k m - k n 2k k - 2l + m = l k=0 l k 2k n n - l m + n - 3k - l . On the basis of this ide...