Results 71 to 80 of about 105,022 (283)

CRISPR/Cas9‐Assisted Microrobots for Fast and Ultrasensitive “On‐The‐Fly” Next‐Generation DNA Detection

open access: yesAdvanced Functional Materials, EarlyView.
This work presents self‐propelled CRISPR/Cas9‐functionalized Au–MRs for rapid, amplification‐free, “on‐the‐fly” DNA detection. By harnessing motion‐assisted signal recovery, the platform achieved the limit of detection in low fM DNA concentrations, enabling detection across a wide dynamic range within only 5 min, which is significantly faster than any ...
Jyoti   +3 more
wiley   +1 more source

Finitely additive functions in measure theory and applications [PDF]

open access: yesOpuscula Mathematica
In this paper, we consider, and make precise, a certain extension of the Radon-Nikodym derivative operator, to functions which are additive, but not necessarily sigma-additive, on a subset of a given sigma-algebra.
Daniel Alpay, Palle Jorgensen
doaj   +1 more source

Complex Cryptographic and User‐Centric Physically Unclonable Functions Enabled by Strain‐Sensitive Nanocrystals via Selective Ligand Exchange

open access: yesAdvanced Functional Materials, EarlyView.
This study investigates electromechanical PUFs that improve on traditional electric PUFs. The electron transport materials are coated randomly through selective ligand exchange. It produces multiple keys and a key with motion dependent on percolation and strain, and approaches almost ideal inter‐ and intra‐hamming distances.
Seungshin Lim   +7 more
wiley   +1 more source

Analytic-numerical solution of random parabolic models: a mean square fourier transform approach

open access: yesMathematical Modelling and Analysis, 2018
This paper deals with the construction of mean square analytic-numerical solution of parabolic partial differential problems where both initial condition and coefficients are stochastic processes. By using a random Fourier transform, an infinite integral
María-Consuelo Casabán   +2 more
doaj   +1 more source

On uniqueness and existence of solutions to stochastic set-valued differential equations with fractional Brownian motions

open access: yesSystems Science & Control Engineering, 2020
This paper is concerned with a class of stochastic set differential equations (SSDEs) driven by a fractional Brownian motion (fBm) with the Lipschitzian condition. The solutions of SSDEs with an fBm are set-valued stochastic processes.
Jialu Zhu, Yong Liang, Weiyin Fei
doaj   +1 more source

Expansion of Iterated Ito Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Multiple Fourier Series Converging in the Mean

open access: yes, 2020
The article is devoted to the expansions of iterated Ito stochastic integrals based on generalized multiple Fourier series converging in the sence of norm in the space $L_2([t, T]^k),$ $k\in\mathbb{N}.$ The method of generalized multiple Fourier series ...
Kuznetsov, Dmitriy F.
core  

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

open access: yesAdvanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul   +8 more
wiley   +1 more source

A Weak Convergence to Hermite Process by Martingale Differences

open access: yesAdvances in Mathematical Physics, 2014
We consider the weak convergence to general Hermite process ZH,k of order k with index H. By applying martingale differences we construct a sequence {ZH,kn ,  n=1,2,…} of multiple Wiener-Itô stochastic integrals such that it converges in distribution to ...
Xichao Sun, Ronglong Cheng
doaj   +1 more source

Wick calculus on spaces of regular generalized functions of Levy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Many objects of the Gaussian white noise analysis (spaces of test and generalized functions, stochastic integrals and derivatives, etc.) can be constructed and studied in terms of so-called chaotic decompositions, based on a chaotic representation ...
M.M. Frei
doaj   +1 more source

Stochastic Integration

open access: yes, 1977
Differential equations have been used to model physical systems, but in many processes this has not been sufficient due to the presence of random occurrences in the system. One method of dealing with this problem is to model the system as a stochastic or random process. A stochastic process, x, is a function mapping the product of a probability space,
openaire   +3 more sources

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