, n) are the Lagrange multipliers.
researches of extracting translation pairs from parallel corpora automatically become active recently (Gale and Church, 1991;Kaji and Aizono, 1996;Tanaka and Iwasaki, 1996;Kitamura and Matsumoto, 1996;Fung, 1997;Melamed, 1997;Sato and Nakanishi, 1998).