Results 101 to 110 of about 1,623,067 (304)
On complete convergence in a Banach space
International Journal of Mathematics and Mathematical Sciences, 1994 Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.
Anna Kuczmaszewska, Dominik Szynal
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Synchrotron Radiation for Quantum Technology
Advanced Functional Materials, EarlyView.Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
wiley +1 more source
One sided strong laws for random variables with infinite mean
Open Mathematics, 2017 This paper establishes conditions that secure the almost sure upper and lower bounds for a particular normalized weighted sum of independent nonnegative random variables.
Adler André
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THE STRONG LAW OF LARGE NUMBERS FOR MULTIVARIATE FUNCTIONS OF CONTINUOUS-STATE NONHOMOGENEOUS MARKOV CHAINS [PDF]
, 2018 Pengyan Zhang, Weiguo Yang, Bei Wang
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Advanced Functional Materials, EarlyView.Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp +7 more
wiley +1 more source
Reconfigurable Three‐Dimensional Superconducting Nanoarchitectures
Advanced Functional Materials, EarlyView.3D superconducting nanostructures offer new possibilities for emergent physical phenomena. However, fabricating complex geometries remains challenging. Here 3D nanoprinting of complex 3D superconducting nanoarchitectures is established. As well as propagating superconducting vortices in 3D, anisotropic superconducting properties with geometric ...
Elina Zhakina +11 more
wiley +1 more source
A Strong Invariance Theorem for the Strong Law of Large Numbers
The Annals of Probability, 1978 Let $X_1, X_2,\cdots$ be i.i.d. random variables with mean 0 and variance 1. Let $S_n = X_1 + \cdots + X_n$, and let $\{H_n\}$ be the standard partial sum processes on $\lbrack 0, \infty)$ defined in terms of the $S_n$'s and normalized as in Strassen.
openaire +3 more sources
STRONG LAWS OF LARGE NUMBERS FOR ASYMPTOTICALLY QUADRANT INDEPENDENT RANDOM FIELDS [PDF]
, 2004 Mi-Hwa Ko, Taesung Kim, Hyun-Chull Kim
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
Advanced Functional Materials, EarlyView.A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
wiley +1 more source
A Note on the Strong Law of Large Numbers for Arrays of Rowwise ρ˜-Mixing Random Variables
Discrete Dynamics in Nature and Society, 2011 Let {Xni,i≥1,n≥1} be an array of rowwise ρ˜-mixing random variables. Some strong law of large numbers for arrays of rowwise ρ˜-mixing random variables is studied under some simple and weak conditions.
Aiting Shen, Shuhe Hu
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