Results 101 to 110 of about 2,640,083 (343)
On Binomial Identities in Arbitrary Bases
, 2016 We extend the digital binomial identity as given by Nguyen el al. to an identity in an arbitrary base $b$, by introducing the $b-$ary binomial coefficients.
Jiu, Lin, Vignat, Christophe
core +1 more source
Waveguide Photoactuators: Materials, Fabrication, and Applications
Advanced Robotics Research, EarlyView.Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi +4 more
wiley +1 more source
On the perfectness of C^{∞,s}-diffeomorphism groups on a foliated manifold [PDF]
Opuscula Mathematica, 2008 The notion of \(C^{r,s}\) and \(C^{\infty,s}\)-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving \(C^{\infty,s}\)-diffeomorphisms with compact supports is perfect.
Jacek Lech
doaj
Asgeirsson's Mean Value Theorem and Related Identities
Journal of Functional Analysis, 2001 \textit{L. Schwartz} observed the equivalence of the mean value property of a harmonic function, i.e. \[ f_R\ast u=0\text{ for } u \text{ with } \Delta_xu=0,\;f_R=2R\delta\bigl(|x|^2-R^2\bigr)-R^{n-1}\omega_n\delta, \] with the (unique) existence of a distribution \(\mu_R\) with compact support such that \(\Delta_x\mu_R=f_R.\) Explicitly, \(\mu_R=\text{
openaire +2 more sources
Using Bayesian Optimization to Increase the Efficiency of III‐V Multijunction Solar Cells
Advanced Theory and Simulations, EarlyView.Technology Computer Aided Design (TCAD) modeling is crucial for designing complex optoelectronic devices like III‐V multijunction solar cells. Bayesian optimization is proposed as a robust method to address challenges in optimizing costly black‐box TCAD solvers.
Pablo F. Palacios, Carlos Algora
wiley +1 more source
Designing High Performance Organic Donor Molecules for Photovoltaics
Advanced Theory and Simulations, EarlyView.Systematically tuning the fusion pattern and length of the π$\pi$‐bridge, along with adjusting the electron‐withdrawing (EW) strength of the terminal groups in small‐molecule donor A-π-Core-π$\text{A-}\pi \text{-Core-}\pi$‐A architectures, enables predictable modulation of the system's opto‐electronic properties.
Fabian Bauch +2 more
wiley +1 more source
A Clarification on Quantum‐Metric‐Induced Nonlinear Transport
Advanced Science, EarlyView.How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang +4 more
wiley +1 more source
Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation
Известия Иркутского государственного университета: Серия "Математика", 2018 Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
doaj +1 more source
Wave‐Partition‐Governed Dual‐Site Spallation in Single Crystals
Advanced Science, EarlyView.Crystalline anisotropy shapes shock‐wave propagation and the resulting damage evolution in single crystals. Large‐scale molecular dynamics and damage modeling uncover a dual‐spallation mechanism driven by anisotropic elasticplastic wave separation, which mitigates damage accumulation.
Youlin Zhu +6 more
wiley +1 more source
Generalized Picone's identity and its applications
Electronic Journal of Differential Equations, 2013 In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj