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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Monotonicity and positivity of several functions involving ratios and products of polygamma functions [PDF]
Journal of Inequalities and ApplicationsLet ψ ( x ) $\psi (x)$ denote the digamma function, that is, the logarithmic derivative of the classical Euler gamma function Γ ( x ) $\Gamma (x)$ . In the paper, the authors discover the monotonic properties of the functions ψ ( n ) ( x ) x ψ ( n + 1 ) (
Feng Qi, Dongkyu Lim, Kwara Nantomah
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Non‐Monotonic Ion Conductivity in Lithium‐Aluminum‐Chloride Glass Solid‐State Electrolytes Explained by Cascading Hopping [PDF]
Advanced ScienceInorganic glass solid‐state electrolytes (IGSSEs) exhibit superionic conductivity at ambient temperature. Understanding their ion conduction mechanism remains challenging but is essential for the development of next‐generation all‐solid‐state batteries ...
Beomgyu Kang +4 more
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Demonstratio MathematicaIn this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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Artificial non-monotonic neurons based on nonvolatile anti-ambipolar transistors [PDF]
Nature CommunicationsNon-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.
Yue Pang +5 more
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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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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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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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