<prompt> Mutsara 1: Iyi vector ndiyo hodge-dual ye uye mufananidzo weiyo fomura pasi pe isomorphism inokonzerwa nechigadzirwa chemukati. Mutsara 2: Iyi-vector ndiyo Hodge mbiri ye, uye mufananidzo weiyo fomura _ 31 pasi peiyo isomorphism inokonzerwa nechinhu chemukati, Mubvunzo: Mutsara wokutanga nomutsara wechipiri unoreva chinhu chimwe chete here? Hungu kana kuti Aiwa?  <response>: Hungu 