Brownian motion experiments have become a staple of the undergraduate advanced laboratory, yet quantification of these experiments is difficult, typically producing errors of 10%–15% or more. Here, we discuss the individual sources of error in the experiment: sampling error, uncertainty in the diffusion coefficient, tracking error, vibration, and microscope drift. We model each source of error ...

We derive a large deviation principle which describes the behaviour of a diffusion process with additive noise under the influence of a strong drift. Our main result is a large deviation theorem for the distribution of the end-point of a one-dimensional diffusion with drift θb where b is a drift function and θ a real number, when θ converges to ∞. It transpires that the problem is governed by a...

Consider a fractional Brownian motion (fBM) [Formula: see text] with Hurst index text]. We construct probability space supporting both B H and fully simulatable process such that[Formula: one for any user-specified error bound When text], we further enhance our guarantee to the α-Hölder norm This enables us extend algorithm simulation of fBM-driven stochastic differential equations Under mild r...

A machine learning method needs to adapt to over time changes in the environment. Such changes are known as concept drift. In this paper, we propose concept drift tackling method as an enhancement of Online Sequential Extreme Learning Machine (OS-ELM) and Constructive Enhancement OS-ELM (CEOS-ELM) by adding adaptive capability for classification and regression problem. The scheme is named as ad...

Air quality and personal pollutant exposure measurement are important for the health and productivity of individuals. Accurate measurement of personal exposure is challenging because of the spatially and temporally heterogeneous distribution of pollutant concentrations. We propose to use low-cost and miniature mobile sensor networks to provide real-time measurement of the environment directly s...

Black auroras are recognized as spatially welldefined regions within uniform diffuse aurora where the optical emission is significantly reduced. Although a well studied phenomenon, there is no generally accepted theory for black auroras. One theory suggests that black regions are formed when energetic magnetospheric electrons no longer have access to the loss cone. If this blocking mechanism dr...

Absbad. The coupling of the hdnmentally quantum mecfianieal nanoelectronic transport simulaHon through resonant tunneling diodes to semi-classical drift diffusion in the contacts is demonstmted. The coupling betweem the nonsqullibrium GRen fa” f o r ” used in NEMO to lhe drift ditlhsian egortlon i s e s t . b H s b e d b y t h e u s e o f ~ d e p ~ d e m t ~ F e r m i 1 ~ in thc rtsmoirr. Thc r...

Continuous glucose monitors (CGMs) are prone to inaccuracy due to time lags, sensor drift, calibration errors, and measurement noise. The aim of this study is to derive the model of the error of the second generation Medtronic Paradigm Veo Enlite (ENL) sensor and compare it with the Dexcom SEVEN PLUS (7P), G4 PLATINUM (G4P), and advanced G4 for Artificial Pancreas studies (G4AP) systems. An enh...

The recent production of antihydrogen by the ATHENA [1] and ATRAP [2,3] Collaborations represents important steps in antihydrogen experimentation. However, the desired recombination to atomic ground states was apparently interrupted, since weakly bound atoms escape the trap and are detected. Here, we argue that the ATRAP analysis data [3] determines these atoms to be in the long-lived ''guiding...