Results 11 to 20 of about 295,758 (246)
ON MONOTONE INCREASING REPRESENTATION FUNCTIONS
Bulletin of the Australian Mathematical Society, 2023 AbstractLet $k\ge 2$ be an integer and let A be a set of nonnegative integers. The representation function $R_{A,k}(n)$ for the set A is the number of representations of a nonnegative integer n as the sum of k terms from A. Let $A(n)$ denote the counting function of A. Bell and Shallit [‘Counterexamples to a conjecture of Dombi in additive number
SÁNDOR Z. KISS +2 more
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Improving Point and Interval Estimates of Monotone Functions by Rearrangement [PDF]
, 2008 Suppose that a target function is monotonic, namely, weakly increasing, and an available original estimate of this target function is not weakly increasing.
Chernozhukov, Victor +2 more
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ON SEQUENCES OF MONOTONE FUNCTIONS [PDF]
Real Analysis Exchange, 1998 Several kinds of convergence (including pointwise, monotone, a.c., uniform, $\ldots$) in the family of monotone functions are ...
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Journal of Mathematical Analysis and Applications, 2008 We study n-monotone functionals, which constitute a generalisation of n-monotone set functions. We investigate their relation to the concepts of exactness and natural extension, which generalise the notions of coherence and natural extension in the behavioural theory of imprecise probabilities. We improve upon a number of results in the literature, and
de Cooman, Gert +2 more
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Electron transport and energy relaxation in dilute magnetic alloys [PDF]
, 2003 We consider the effect of the RKKY interaction between magnetic impurities on the electron relaxation rates in a normal metal. The interplay between the RKKY interaction and the Kondo effect may result in a non-monotonic temperature dependence of the ...
A. I. Larkin +30 more
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On monotonous separately continuous functions [PDF]
Applied General Topology, 2019 <p>Let T = (<strong>T</strong>, ≤) and T<sub>1</sub>= (<strong>T</strong><sub>1</sub> , ≤<sub>1</sub>) be linearly ordered sets and X be a topological space. The main result of the paper is the following: If function ƒ(t,x) : <strong>T</strong> × X → <strong>T< ...
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Robust chaos generation by a perceptron
, 2000 The properties of time series generated by a perceptron with monotonic and non-monotonic transfer function, where the next input vector is determined from past output values, are examined.
Kanter, I., Priel, A.
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Measuring the Lack of Monotonicity in Functions [PDF]
SSRN Electronic Journal, 2014 Problems in econometrics, insurance, reliability engineering, and statistics quite often rely on the assumption that certain functions are non-decreasing. To satisfy this requirement, researchers frequently model the underlying phenomena using parametric and semi-parametric families of functions, thus effectively specifying the required shapes of the ...
Danang Teguh Qoyyimi +2 more
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Constraints on RG Flows from Holographic Entanglement Entropy
, 2013 We examine the RG flow of a candidate c-function, extracted from the holographic entanglement entropy of a strip-shaped region, for theories with broken Lorentz invariance.
Cremonini, Sera, Dong, Xi
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The capacity of monotonic functions
Discrete Applied Mathematics, 1998 AbstractWe consider the class M of monotonically increasing binary output functions. M has considerable practical significance in machine learning and pattern recognition because prior information often suggests a monotonic relationship between input and output variables. The decision boundaries of monotonic classifiers are compared and contrasted with
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