Reply to Evens and Niedz: Multivariate ionomics models are robustly validated
نویسندگان
چکیده
منابع مشابه
Robustly Stable Multivariate Polynomials
We consider stability and robust stability of polynomials with respect to a given arbitrary disjoint decomposition C n = Γ⊎Λ. The polynomial is called stable if it has no zeros in the region of instability Λ and robustly stable if it is stable and remains so under small variations of its coefficients. Inspired by the article Robust stability of multivariate polynomials. Part 1: Small coefficien...
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On a 3-dimensional Lorentzian manifold, the sectional curvature function at any point may be represented as a rational function (quotient of two quadratics) on the real projective plane [2]. (More generally, the sectional curvature at a point of any pseudoRiemannian n-manifold may be represented as a rational function on the Grassmann variety of planes in n-space.) Using this representation, Be...
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Partitions with no repeated even parts (DE-partitions) are considered. A DE-rank for DE-partitions is defined to be the integer part of half the largest part minus the number of even parts. ∆(n) denotes the excess of the number of DE-partitions with even DE-rank over those with odd DE-rank. Surprisingly ∆(n) is (1) always non-negative, (2) almost always zero, and (3) assumes every positive inte...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2008
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.0811786106