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Concept

Bernoulli number

Related publications (6)

Safety in Numbers: Asymptotic Analysis of a Monitoring Problem

Emre Telatar, Reka Inovan

In this work, we introduce a setup where a monitoring entity attempts to distinguish a cheating player among a group of regular players where all players behave in order to maximize their reward. We assume that the cheating player has an "information advan ...

IEEE2022

Efficient learning of smooth probability functions from Bernoulli tests with guarantees

Volkan Cevher, Ali Kavis, Paul Thierry Yves Rolland

We study the fundamental problem of learning an unknown, smooth probability function via pointwise Bernoulli tests. We provide a scalable algorithm for efficiently solving this problem with rigorous guarantees. In particular, we prove the convergence rate ...

2019

Experimental Characterization of a T-Shaped Programmable Multistable Mechanism

Simon Nessim Henein, Mohamed Gamal Abdelrahman Ahmed Zanaty

Programmable multistable mechanisms (PMM) exhibit a modifiable stability behavior in which the number of stable states, stiffness, and reaction force characteristics are controlled via their programming inputs. In this paper, we present experimental charac ...

2018

Bilinear forms with Kloosterman sums and applications

Philippe Michel

We prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods (Polya-Vinogradov range). We then derive applications to the second moment of cus ...

Annal Mathematics2017

Modelling the Size Effects on the Mechanical Properties of Micro/Nano Structures

Luis Guillermo Villanueva Torrijo, Amir Musa Abazari

Experiments on micro- and nano-mechanical systems (M/NEMS) have shown that their behavior under bending loads departs in many cases from the classical predictions using Euler-Bernoulli theory and Hooke's law. This anomalous response has usually been seen a ...

MDPI Ag2015

Head-To-Tail and Heteroleptic Pentanuclear Circular Helicates

Everybody form a circle: Careful design of ligand strands and their reaction with Cu2+ ions leads to the formation of the title helicates. Incorporation of differing numbers of N-donor units within a ligand strand containing a phenyl spacer results in a pe ...

Wiley-VCH Verlag GmbH2010