projective orthogonal group造句
例句與造句
- More intrinsically, the ( real positive definite ) projective orthogonal group PO can be defined as the isometries of real projective space, while PSO can be defined as the orientation-preserving isometries of real projective space ( when the space is orientable; otherwise PSO = PO ).
- Like the orthogonal group, the projective orthogonal group can be defined over any field and with varied quadratic forms, though, as with the ordinary orthogonal group, the main emphasis is on the " real " " positive definite " projective orthogonal group; other fields are elaborated in generalizations, below.
- Like the orthogonal group, the projective orthogonal group can be defined over any field and with varied quadratic forms, though, as with the ordinary orthogonal group, the main emphasis is on the " real " " positive definite " projective orthogonal group; other fields are elaborated in generalizations, below.
- The complex projective orthogonal group, PO ( " n ", "'C "') should not be confused with the projective unitary group, PU ( " n " ) : PO preserves a symmetric form, while PU preserves a hermitian form PU is the symmetries of complex projective space ( preserving the Fubini Study metric ).
- This is reflected in odd-dimensional real projective space being orientable, while even-dimensional real projective space is nonorientable, and at a more abstract level, the Lie algebras of odd and even dimensional projective orthogonal groups are in two different families : B _ k = \ mathfrak { so } _ { 2k + 1 }, D _ k = \ mathfrak { so } _ { 2k }.
- It's difficult to find projective orthogonal group in a sentence. 用projective orthogonal group造句挺難的