= ( 1 − p i k ) ( 1 − p j k ) i f x i k = 0   a n d x j k = 0 P ( x i k , x j k ) = p i k ( 1 − p j k ) i f x i k ≠ 0   a n d x j k = 0 = ( 1 − p i k ) p j k i f x i k = 0   a n d x j k ≠ 0 = p i k p j k d ( x i k , x j k ) ( 2 N k − d ( x i k , x j k ) − 1 ) N k ( N k − 1 ) i f x i k ≠ 0   a n d x j k ≠ 0       ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=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fgaHjab=5gaUjab=rgaKjab=bcaGiabdIha4naaBaaaleaacqWGQbGAcqWGRbWAaeqaaOGaeyiyIKRaeGimaadabaaabaGaeyypa0JaemiCaa3aaSbaaSqaaiabdMgaPjabdUgaRbqabaGccqWGWbaCdaWgaaWcbaGaemOAaOMaem4AaSgabeaakmaalaaabaGaemizaqMaeiikaGIaemiEaG3aaSbaaSqaaiabdMgaPjabdUgaRbqabaGccqGGSaalcqWG4baEdaWgaaWcbaGaemOAaOMaem4AaSgabeaakiabcMcaPiabcIcaOiabikdaYiabd6eaonaaBaaaleaacqWGRbWAaeqaaOGaeyOeI0IaemizaqMaeiikaGIaemiEaG3aaSbaaSqaaiabdMgaPjabdUgaRbqabaGccqGGSaalcqWG4baEdaWgaaWcbaGaemOAaOMaem4AaSgabeaakiabcMcaPiabgkHiTiabigdaXiabcMcaPaqaaiabd6eaonaaBaaaleaacqWGRbWAaeqaaOGaeiikaGIaemOta40aaSbaaSqaaiabdUgaRbqabaGccqGHsislcqaIXaqmcqGGPaqkaaaabaGae8xAaKMae8NzayMae8hiaaIaemiEaG3aaSbaaSqaaiabdMgaPjabdUgaRbqabaGccqGHGjsUcqaIWaamcqqGGaaicqWFHbqycqWFUbGBcqWFKbazcqWFGaaicqWG4baEdaWgaaWcbaGaemOAaOMaem4AaSgabeaakiabgcMi5kabicdaWaaacaWLjaGaaCzcamaabmaabaGaeGOmaidacaGLOaGaayzkaaaaaa@F695@