Results 41 to 50 of about 88,173 (262)

A Cauchy integral formula in superspace [PDF]

Bulletin of the London Mathematical Society, 2009
In previous work the framework for a hypercomplex function theory in superspace was established and amply investigated. In this paper a Cauchy integral formula is obtained in this new framework by exploiting techniques from orthogonal Clifford analysis.
De Bie, Hendrik, Sommen, Franciscus
openaire   +3 more sources

Label‐Free Sensing of Coronaviral Sequences via Kretschmann‐Configuration Reflectance Spectroscopic Ellipsometry: Sensitivity, Specificity, and Interfacial Effects

Advanced Materials Interfaces, EarlyView.
Spectroscopic ellipsometry in the Kretschmann‐Raether configuration (KRSE) is employed to characterize a DNA‐functionalized platform for viral sequence recognition. By merging SE with surface plasmon resonance, KRSE outperforms conventional SE, achieving nanomolar targeting through resonance wavelength shifts (δλ) measurements. Its enhanced interfacial
Silvia Maria Cristina Rotondi, Paolo Canepa, Francesco Bisio, Ornella Cavalleri, Maurizio Canepa   +4 more
wiley   +1 more source

Interior estimates of first order for initial value problems in the octonion algebra

Bulletin of Computational Applied Mathematics, 2021
In this paper we use a Cauchy-Type integral formula for analytic octonionic-valued functions, to give an interior estimate of first order, in the supremum norm, for such functions.
Yandry Intriago, Eusebio Ariza García, Carmen Judith Vanegas Espinoza   +2 more
doaj  

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

Finding the Zeros of a High-Degree Polynomial Sequence

Journal of Optimization, Differential Equations and Their Applications, 2021
A 1-parameter initial-boundary value problem for a linear spatially 1-dimensional homogeneous degenerate wave equation, posed in a space-time rectangle, in case of strong degeneracy, was reduced to a linear integro-differential equation of convolution ...
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

Spectral‐Integrated Thermal Absorption Model for Broadband Laser‐Protective Reflectors Under Supercontinuum Irradiation

Advanced Science, EarlyView.
A universal laser absorption model based on spectral integration enables the design of ultrabroadband dielectric multilayer reflectors for laser protection. The model reveals exponential decay of absorption characterized by two coefficients, and a design that prioritizes short‐wavelength reflection minimizes heating.
Yukang Feng, Yanzhi Wang, Yulin Zhang, Yesheng Lu, Yu Chen, Fanxin Meng, Huisong Hu, Zhongyang Xing, Jianda Shao   +8 more
wiley   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

From Differences to Derivatives [PDF]

, 2004
A relation showing that the Grünwald-Letnikov and generalized Cauchy derivatives are equal is deduced confirming the validity of a well known conjecture. Integral representations for both direct and reverse fractional differences are presented.
Coito, Fernando, Duarte Ortigueira, Manuel   +1 more
core  

Bochner-Martinelli formula in superspace

, 2018
In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been established and amply developed. In this paper, we address the problem of establishing Cauchy integral formulae in the framework of Hermitian Clifford ...
Abreu Blaya, Aronszajn, Berezin, Brackx, Brackx, Brackx, Brackx, Brackx, Brackx, Brackx, Brackx, Bremermann, Brouder, Coulembier, Coulembier, De Bie, De Bie, De Bie, De Bie, De Bie, De Bie, De Bie, De Schepper, De Schepper, De Schepper, Delanghe, DeWitt, Gilbert, Guzmán Adán, Hörmander, Krantz, Kytmanov, Leĭtes, Rocha-Chávez, Sabadini, Sommen   +35 more
core   +1 more source

The Cauchy integral formulas on the octonions

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xingmin, Peng, Lizhong
openaire   +3 more sources