Results 31 to 40 of about 9,065 (122)
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials
In the framework of differential Galois theory we treat the classical spectral problem $\Psi"-u(x)\Psi=\lambda\Psi$ and its finite-gap potentials as exactly solvable in quadratures by Picard--Vessiot without involving special functions; the ideology goes
Brezhnev, Yurii V.
core +1 more source
The Betti numbers of the moduli space of stable sheaves of rank 3 on P2 [PDF]
This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on the projective plane P2 and its blow-up. Wall-crossing is used to obtain the Betti numbers on the blow-up.
Manschot, Jan
core +1 more source
Medical Knowledge Integration Into Reinforcement Learning Algorithms for Dynamic Treatment Regimes
Summary The goal of precision medicine is to provide individualised treatment at each stage of chronic diseases, a concept formalised by dynamic treatment regimes (DTR). These regimes adapt treatment strategies based on decision rules learned from clinical data to enhance therapeutic effectiveness.
Sophia Yazzourh +3 more
wiley +1 more source
Sequential Outlier Detection in Nonstationary Time Series
ABSTRACT A novel method for sequential outlier detection in nonstationary time series is proposed. The method tests the null hypothesis of “no outlier” at each time point, addressing the multiple testing problem by bounding the error probability of successive tests, using extreme‐value theory. The asymptotic properties of the test statistic are studied
Florian Heinrichs +2 more
wiley +1 more source
Enhancing CRISPR/Cas‐Mediated Gene Knockout With Short Non‐Homologous Oligonucleotides
ABSTRACT Chlamydomonas reinhardtii is a model green microalga that has great industrial potential as a sustainable bio‐factory for recombinant protein and high‐value chemical production. Efficient genome editing tools are required to redesign this organism for synthetic biology applications. CRISPR‐Cas editing technologies have already been adapted for
Yen Peng Chew +7 more
wiley +1 more source
Indefinite Theta Series on Cones
We show that indefinite theta series on cones converge and provide an explicit modular completion. Our completion rests on a convolution of the Gaussian with a piecewise constant function supported on the cone. Our main innovation is to formulate this convolution in terms of euclidean geometry as opposed to hyperbolic geometry.
openaire +2 more sources
An acoustic study on monophthongs in Central Australian Aboriginal English
Abstract We present an acoustic analysis of monophthongal vowel production in Central Australian Aboriginal English (CAAE), providing one of the first systematic examinations of this variety spoken by English‐as‐a‐first‐language (L1) speakers in Mparntwe/Alice Springs, Australia.
Yizhou Wang +4 more
wiley +1 more source
Arithmetic Spacetime Geometry from String Theory
An arithmetic framework to string compactification is described. The approach is exemplified by formulating a strategy that allows to construct geometric compactifications from exactly solvable theories at $c=3$.
Conway J. H. +14 more
core +1 more source
This study develops a self‐powered permeable electronic dressing (SPED) that synergistically integrates exudate management, electrical stimulation, and on‐demand drug delivery. The dressing effectively absorbs exudate while demonstrating potent antibacterial activity and accelerated tissue regeneration in diabetic mouse models, thereby promoting ...
Jiaheng Liang +12 more
wiley +1 more source
Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
wiley +1 more source

