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