Results 41 to 50 of about 31,355 (278)
Journal of Educational Research in Mathematics, 2020 This study conducted historical and mathematical analyses of the composition of continuum and infinite division. Regarding the results of the historical analysis, first, it can be seen that mathematicians struggled with the problems related to Zeno’s ...
Seungju Baek, Younggi Choi
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Infinite Divisibility of Information [PDF]
IEEE Transactions on Information Theory, 2021 We study an information analogue of infinitely divisible probability distributions, where the i.i.d. sum is replaced by the joint distribution of an i.i.d. sequence. A random variable $X$ is called informationally infinitely divisible if, for any $n\ge1$, there exists an i.i.d.
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Convergence of the Fourth Moment and Infinite Divisibility: Quantitative estimates [PDF]
, 2014 We give an estimate for the Kolmogorov distance between an infinitely divisible distribution (with mean zero and variance one) and the standard Gaussian distribution in terms of the difference between the fourth moment and 3. In a similar fashion we give
Arizmendi, Octavio, Jaramillo, Arturo
core
, 2009 We consider random fields that can be represented as integrals of deterministic functions with respect to infinitely divisible random measures and show that these random fields are infinitely divisible.Comment: 5 ...
Karcher, Wolfgang +2 more
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Advanced Functional Materials, EarlyView.For the first time, a highly sensitive electrochemical biosensor based on SiO2‐based hairy particles with a grafted PDMAEMA polymer brush containing a quantifiable and large amount of immobilized Laccase is reported. The fabricated biosensor exhibits a sensitivity of 0.14 A·m⁻¹, a limit of detection (LOD) of 0.1 µm, and a detection range of 0.3–750 µm,
Pavel Milkin +7 more
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Journal of Probability and Statistics, 2023 The explosion of time series count data with diverse characteristics and features in recent years has led to a proliferation of new analysis models and methods.
Confort Kollie +2 more
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Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character
Mathematics, 2021 In this paper, we show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semi-axis.
Katarzyna Górska, Andrzej Horzela
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Infinitely divisible Gibbs States
Rocky Mountain Journal of Mathematics, 1984 The author explores a notion of infinite divisibility for Gibbs states which is based on the structure of the configuration space for lattice systems as a direct product of cyclic groups of order two. Many simple examples are given to show that such infinitely divisible measures do exist. Partial solutions to several problems are given.
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Advanced Functional Materials, EarlyView.A chiral photodetector capable of selectively distinguishing left‐ and right‐handed circularly polarized light is experimentally demonstrated. The device, which features a nanopatterned electrode inverse‐designed by a genetic algorithm within a metal–dielectric–metal nanocavity that incorporates a vacuum‐deposited small‐molecule multilayer, exhibits ...
Kyung Ryoul Park +3 more
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Control of the transient subdiffusion exponent at short and long times
Physical Review Research, 2019 We consider a simple, physically and biologically motivated model of transient subdiffusion having different exponents in the mean squared displacement at short and long times. For this purpose, the sum of two independent stable processes (with different
Aleksander Stanislavsky +1 more
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