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单词 positive definiteness
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positive definiteness
positive definiteness n. Mathematics the state or condition of being positive definite.
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the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > signed (positive or negative)
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positive definiteness1941
1941 Econometrica 9 162 The single divergence, due to the presence of the estimated-reproduction-costs functional with a negative sign in the difference, is the positive-definiteness of the functional quadratic form associated with its second derived functional.
1968 L. Fox & D. F. Mayers Computing Methods for Scientists & Engineers i. 6 The associated matrix may be ‘general’, or it may have special properties such as symmetry, with or without positive-definiteness.
1990 Q. Jrnl. Mech. & Appl. Math. 43 605 Using a factorization of the stiffness matrix and of its inverse, the compliance matrix, allows discussion of the constraints implicit in positive definiteness to be couched in a reduced number of parameters.
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