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Positive definiteness is not enough
Mathematical Geology, 1992Geostatisticians know that the mathematical functions chosen to represent spatial covariances and variograms must have the appropriate type of positive definiteness, but they may not realize that there are restrictions on the types of covariances and variograms that are compatible with particular distributions.
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The American Mathematical Monthly, 1970
(1970). Positive Definite Matrices. The American Mathematical Monthly: Vol. 77, No. 3, pp. 259-264.
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(1970). Positive Definite Matrices. The American Mathematical Monthly: Vol. 77, No. 3, pp. 259-264.
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Strict positive definiteness under axial symmetry on the sphere
Stochastic environmental research and risk assessment (Print), 2020Pier Giovanni Bissiri +2 more
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On a criterion of positive definiteness
1997Let s(x) be a continuous function on (-a, a) such that (i) s(x) = s(-x) for -a 0, then there exists a neighborhood of 0 such that s(x) is positive definite in this neighborhood and admits more than one positive definite continuation from this neighborhood onto the whole real axis.
V. P. Potapov, Irina V. Mikhailova
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Further Study on Z-Eigenvalue Localization Set and Positive Definiteness of Fourth-Order Tensors
, 2020Linxuan Sun, Gang Wang, Lixia Liu
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Sibling Position and Definition of Self
The Journal of Social Psychology, 1971(1971). Sibling Position and Definition of Self. The Journal of Social Psychology: Vol. 84, No. 2, pp. 307-308.
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On Positive-Definite Functions [PDF]
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Strict positive definiteness in geostatistics
Stochastic environmental research and risk assessment (Print), 2018S. Iaco, D. Posa
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Checkable Criteria for the M-Positive Definiteness of Fourth-Order Partially Symmetric Tensors
Bulletin of the Iranian Mathematical Society, 2019Suhua Li, Yaotang Li
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A definition of positivity and negativity
2019In the last chapter we got a first glance at the positivist thesis. In its formulation, an operator was employed, symbolized by “+” in the upper right of the sentence it applies to. This operator might be read as “it is positively the case that”.
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