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Correction to "Genomic Locus Tagged by Lung Function GWAS SNV rs12477314 (2q37.3) Acts as a Regulatory Region for a Systemic Inflammatory Phenotype". [PDF]

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On the Distribution Function of Additive Functions

The Annals of Mathematics, 1946
The author extends his previous work on the distribution of values of additive arithmetical functions [J. Lond. Math. Soc. 13, 119--127 (1938; Zbl 0018.29301); Am. J. Math. 61, 713--721 (1939; Zbl 0022.00903) and Am. J. Math. 61, 722--725 (1939; Zbl 0022.01001)]. Many striking results are obtained.
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Additive Automorphic Functions and Bloch Functions

Canadian Journal of Mathematics, 1994
AbstractA function f analytic in the unit disk D is said to be strongly uniformly continuous hyperbolically, or SUCH, on a set E ⊂ D if for each ∊ > 0 there exists a δ > 0 such that |f(z) — f(z')| < ∊ whenever z and z' are points in E and the hyperbolic distance between z and z' is less than δ.
Aulaskari, Rauno, Lappan, Peter
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Additive Aggregation Functions: Generalizations and Modifications of Additivity

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019
In this paper we study some modifications and generalizations of additivity in the case of aggregation functions on the unit interval [0, 1]. We prove that some common properties of aggregation functions can be viewed as modifications of additivity — additivity with constraints.We also generalize additivity into pseudo-additivity and k-pseudo ...
Anna Kolesárová, Fateme Kouchakinejad, Radko Mesiar   +2 more
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Additive Functionals on Groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1962
The kernel of a non-trivial linear functional φ on a linear space E is a maximal proper linear subspace of E which determines φ up to a non-zero multiple. Does a similar result hold for homomorphisms of a group G into the additive group R of the real numbers?
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Additive functions

Analysis Mathematica, 1986
[This article is reviewed together with the following.] Let ...
Daróczy, Z., Kátai, I.
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Utility as an Additive Set Function

Mathematics of Operations Research, 1992
Foundations for additive models of subset evaluation are stated by axioms for a preference relation on a family S of subsets of X that cover X. The axiomatizations include cases in which S is arbitrary, S contains only finite subsets of X, and S is the set of all subsets of X. Expected utility with subsets as outcomes is also considered.
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Additively decomposed quasiconvex functions

Mathematical Programming, 1986
The authors give a new definition of the convexity index introduced in a recently published paper by \textit{G. Debreu} and \textit{T. C. Koopmans} [Math. Program. 24, 1-38 (1982; Zbl 0495.90063)]. By means of this definition they give then characterizations of the quasiconvexity of the function s defined on \(X_ 1\times X_ 2\times...\times X_ p\) by \[
Jean-Pierre Crouzeix, Per Olov Lindberg
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On Finitely Distributed Additive Functions

Journal of the London Mathematical Society, 1975
A real-valued additive function \(f\) has been defined by \textit{P. Erdős} [Ann. Math. (2) 47, 1--20 (1946; Zbl 0061.07902)] to be finitely distributed if there exist positive constants \(c_1\) and \(c_2\) and a sequence \(\{x_k\}\) of positive numbers tending to infinity so that for each \(k\) there is an interval whose length is \(\le c_2 ...
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Additive manufacturing of cellular ceramic structures: From structure to structure–function integration

Materials and Design, 2022
Xueqin Zhang, Keqiang Zhang, Rujie He
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