11. It can be shown that the scalar product 12. In these circumstances, the scalar product in equation ( ) makes the result negative. 13. If the underlying symmetric form, for example, the scalar product on Euclidean vector spaces. 14. Another simple way to look at it as a scalar product of vectors in module 10. 15. Therefore, SDPs are often formulated in terms of linear expressions on scalar products of vectors. 16. Bilinear form is skew-symmetric . ( Here \ cdot stands for the scalar product ). 17. For example, linear expressions involving nonnegative scalar product of v _ i and v _ j. 18. Many terms in the Hamiltonians of atomic or molecular systems involve the scalar product of angular momentum operators. 19. To be used for the inline display of the scalar product of a vectors used to represent quantum mechanical states. 20. Any scalar product between a pseudovector and an ordinary pseudovector ( axial vector ); a similar construction creates the pseudotensor.
