Page 262 - Introduction to Statistical Pattern Recognition
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244                         Introduction to Statistical Pattern Recognition























                                 N?
                                                       af*
                                -  Awj') A~i~)(Xi~)-fi~)~ ,-(Xl2)-h2)]do   .      (5.178)
                                 !,=I                  2x2
                        Using the expectations in (5.165)-(5.167), E, [ yy)} becomes




















                        where an approximation of N-1   N is used to  obtain the  second line from the
                        first,  Now,  substituting  the  partial  derivatives  of  (5.144) and  (5.145) into
                        (5.179),
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