<prompt> Umusho 1: Le-vector iyi-Hodge yangaphakathi ye, futhi ingumfanekiso wefomula _ 31 ngaphansi kwe-isomorphism ekhishwe ngumkhiqizo ophindwe kabili. Umusho 2: Le vector iyi-hodge-dual futhi ingumfanekiso wefomula ngaphansi kwe-isomorphism ekhishwe ngumkhiqizo wangaphakathi. Umbuzo: Ingabe umusho 1 nomusho 2 usho into efanayo? Yebo noma Cha?  <response>: Cha, akunjalo. 