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ITERATED LOGARITHM INEQUALITIES [PDF]
1. Introduction—Let x,x 1, x 2 … be a sequence of independent, identically distributed random variables with mean 0, variance 1, and moment generating function ϕ(t) = E(etz) finite in some neighborhood of t= 0, and put S n = x 1, + … + x n, \(\bar x\) n = S n/n.
Darling, D. A., Robbins, H.
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The arc graph $ (G)$ of a digraph $G$ is the digraph with the set of arcs of $G$ as vertex-set, where the arcs of $ (G)$ join consecutive arcs of $G$. In 1981, Poljak and R dl characterised the chromatic number of $ (G)$ in terms of the chromatic number of $G$ when $G$ is symmetric (i.e., undirected).
Rorabaugh, Danny +3 more
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Residual interpolations are effective methods to reduce the instantaneous field-of-view error of division of focal plane (DoFP) polarimeters. However, their guide-image selection strategies are improper, and do not consider the DoFP polarimeters’ spatial
Jie Yang +4 more
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We characterize all varieties with a torus action of complexity one that admit iteration of Cox rings.Comment: 9 ...
Hausen, Juergen, Wrobel, Milena
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Iterating iterated substitution
AbstractBy iterating iterated substitution not all regular languages can be copied. Hence the smallest full hyper (1)-AFL is properly contained in ETOL, the smallest full hyper-AFL. The number of iterations of iterated substitution gives rise to a proper hierarchy. Consequently the smallest full hyper (1)-AFL is not a full principal AFL.
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ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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In this paper the authors prove that the discriminant of the discriminant of a multivariate polynomial has the same irreducible factors of the product of seven polynomials. These seven polynomials are obtained as the GCD of the generators of an elimination ideal. This result is similar to the one by \textit{L. Busé} and \textit{B.
Lazard, Daniel, Mccallum, Scott
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ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
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Iterated and generalized iterated integrals
For a differential field [Formula: see text] having an algebraically closed field of constants, we analyze the structure of Picard–Vessiot extensions of [Formula: see text] whose differential Galois groups are unipotent algebraic groups and apply these results to study stability problems in integration in finite terms and the inverse problem in ...
Chitrarekha Sahu +2 more
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arXiv admin note: substantial text overlap with arXiv:0904.0817, arXiv:1302 ...
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