Results 51 to 60 of about 7,937,632 (296)

Entropy and the Central Limit Theorem

The Annals of Probability, 1986
The author establishes a strengthened central limit theorem for densities showing monotone convergence in the sense of relative entropy. The relative entropy is defined by \[ D_ n=\int f(x) \log f(x)/\phi (x)dx \] where f is the density function of a random variable, X, with finite variance and \(\phi\) is the normal density with the same mean and ...
openaire   +3 more sources

Waveguide Photoactuators: Materials, Fabrication, and Applications

Advanced Robotics Research, EarlyView.
Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi, Hemin Pan, Yang Zong, Yongfeng Mei, Jizhai Cui   +4 more
wiley   +1 more source

On the central limit theorem for unsharp quantum random variables

New Journal of Physics, 2018
We study the weak-convergence properties of random variables generated by unsharp quantum measurements. More precisely, for a sequence of random variables generated by repeated unsharp quantum measurements, we study the limit distribution of relative ...
Aleksandra Dimić, Borivoje Dakić
doaj   +1 more source

Simulating the Central Limit Theorem

The Stata Journal: Promoting communications on statistics and Stata, 2018
Understanding the central limit theorem is crucial for comprehending parametric inferential statistics. Despite this, undergraduate and graduate students alike often struggle with grasping how the theorem works and why researchers rely on its properties to draw inferences from a single unbiased random sample.
openaire   +2 more sources

Autonomous Navigation of Pollen‐Inspired Magnetic Microrobots for Biomedical Applications

Advanced Robotics Research, EarlyView.
A sunflower pollen‐inspired magnetic microrobot enables controlled rolling navigation in vessel‐like environments. Its open geometry reduces hydrodynamic drag, while vision‐based closed‐loop control, shortest‐path planning, and reinforcement learning support target‐reaching and maze navigation with microrobot‐scale accuracy, highlighting a route toward
Ali Anil Demircali, Abdurrahim Yilmaz, Meysam Keshavarz, Jinshi Zhao, Ara Darzi, Eric Yeatman, Burak Temelkuran   +6 more
wiley   +1 more source

A note on Doeblin’s central limit theorem [PDF]

Proceedings of the American Mathematical Society, 1957
Consider a Markov chain with a countable infinity of states (1, 2, * * * ) forming a single positive recurrent class, so that all the mean recurrence-times mjj are finite. Let f( ) be any real-valued function with the positive integers as domain, and if Xm denotes the state of the system at the mth epoch, let S, = ZM=of(Xm).
openaire   +2 more sources

Consensus Formation and Change are Enhanced by Neutrality

Advanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag, Janina A. Hoffmann, Tim Rogers, Christian A. Yates   +3 more
wiley   +1 more source

Central limit theorem for a class of SPDEs [PDF]

Journal of Applied Probability, 2015
In this paper we establish the central limit theorem for a class of stochastic partial differential equations and as an application derive this theorem for two widely studied population models: super-Brownian motion and the Fleming-Viot process.
openaire   +3 more sources

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

New High‐Tc Charge‐Transfer Multiferroicity in the Quasi‐2D Antiferromagnet CrSbS3

Advanced Science, EarlyView.
ABSTRACT Low‐dimensional magnets, particularly 2D systems, offer a rich platform for realizing unconventional multiferroic mechanisms, especially when multiple polarization channels coexist. In the quasi‐2D antiferromagnet CrSbS3, which crystallizes in the centrosymmetric orthorhombic space group Pnma and orders magnetically at TN ≈ 90 K, two ...
Hung‐Cheng Wu, Yu‐Hsin Liao, Chih‐Chung Tsai, Pei‐Ying Yang, Yu‐Hao Chang, Yu‐Hui Liang, D. Chandrasekhar Kakarla, Ajay Tiwari, C. Dhanasekhar, Chin‐Wei Wang, Daisuke Okuyama, Chia‐Nung Kuo, Chin‐Shan Lue, Tzu‐Hsuan Weng, Kung‐Hsuan Lin, Jau‐Wern Chiou, Chi‐Hung Lee, Hung‐Duen Yang   +17 more
wiley   +1 more source