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Non-monotonic projection probabilities as a function of distinguishability
New Journal of Physics, 2014 Typically, quantum superpositions, and thus measurement projections of quantum states involving interference, decrease (or increase) monotonically as a function of increased distinguishability.
Gunnar Björk, Saroosh Shabbir
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Artificial non-monotonic neurons based on nonvolatile anti-ambipolar transistors. [PDF]
Nat CommunNon-monotonic neurons integrate monotonic input into a non-monotonic response, effectively improving the efficiency of unsupervised learning and precision of information processing in peripheral sensor systems.
Pang Y +5 more
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On the conditions of monotonicity of functions [PDF]
Fundamenta Mathematicae, 1966 Tadeusz Świątkowski
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Comment on ‘Non-monotonic projection probabilities as a function of distinguishability’
New Journal of Physics, 2014 A recent work (Björk and Shabbir 2014 New J. Phys. http://dx.doi.org/10.1088/1367-2630/16/1/013006 16 http://dx.doi.org/10.1088/1367-2630/16/1/013006 ) claims that nonmonotonic structures found in the many-particle quantum-to-classical transition (Ra et ...
Young-Sik Ra +6 more
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The derivative of a monotonic discontinuous function [PDF]
Proceedings of the American Mathematical Society, 1965 where fn(x) takes the values 0, 1/2, and 1 on the sets x xn, respectively. We modify his construction by replacing the coefficients 2-n with appropriate values cn. By hypothesis, { xn} = nE (Ej open, EjDEj+,). For each j, let E(U, k) } denote the family of components of Ej.
George Piranian
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Some conditions for sequences to be minimal completely monotonic
AIMS Mathematics, 2023 In this article, we establish some necessary conditions for sequences to be minimal completely monotonic. We also present some properties for completely monotonic sequences.
Xifeng Wang, Senlin Guo
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Positivity preserving interpolation by using rational quartic spline
AIMS Mathematics, 2020 In this study, a new scheme for positivity preserving interpolation is proposed by using C1 rational quartic spline of (quartic/quadratic) with three parameters.
Noor Adilla Harim +6 more
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Completely monotonic integer degrees for a class of special functions
AIMS Mathematics, 2020 Let $f_{n}(x)$ $\left(n=0,1,\cdots\right)$ be the remainders for the asymptotic formula of $\ln\Gamma (x)$ and $R_{n}(x)=\left(-1\right)^{n}f_{n}(x)$. This paper introduced the concept of completely monotonic integer degree and discussed the ones for the
Ling Zhu
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Mixture functions and their monotonicity [PDF]
Information Sciences, 2019 We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study su cient conditions to ensure standard, weak and directional monotonicity for ...
Jana Špirková +3 more
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Completely monotonic degree of a function involving trigamma and tetragamma functions
AIMS Mathematics, 2020 Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monotonic
Feng Qi
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