例句與造句

1. In the real case, the polarization identity is given by:
2. The general claim can be argued using the polarization identity.
3. If it holds, the scalar product is defined by the polarization identity:
4. This is a special case of the polarization identity.
5. If this identity is satisfied, the associated inner product is given by the polarization identity.
6. It's difficult to find polarization identity in a sentence. 用polarization identity造句挺難的
7. For a complex Hilbert space, it is easy to verify by the polarization identity, that Strong Operator convergence implies Weak Operator convergence.
8. Hadwiger's theorem implies the equivalence of Schl鋐li's stipulation and the geometrical definition of a eutactic star, by the polarization identity.
9. For any norm satisfying the parallelogram law ( which necessarily is an inner product norm ), the inner product generating the norm is unique as a consequence of the polarization identity.
10. solves the general problem too . ( A solution satisfying the left formula automatically satiesfies the right formula, see polarization identity . ) Finding the solution to the simpler problem is just a matter of look-up in the theory of classical groups that preserve bilinear forms of various signature.
11. More generally, in the presence of a ring involution or where 2 is not invertible, one distinguishes ?-quadratic forms and ?-symmetric forms; a symmetric form defines a quadratic form, and the polarization identity ( without a factor of 2 ) from a quadratic form to a symmetric form is called the " symmetrization map ", and is not in general an isomorphism.