Results 91 to 100 of about 2,478,358 (353)

SHORT TIME FULL ASYMPTOTIC EXPANSION OF HYPOELLIPTIC HEAT KERNEL AT THE CUT LOCUS

Forum of Mathematics, Sigma, 2017
In this paper we prove a short time asymptotic expansion of a hypoelliptic heat kernel on a Euclidean space and a compact manifold. We study the ‘cut locus’ case, namely, the case where energy-minimizing paths which join the two points under ...
YUZURU INAHAMA, SETSUO TANIGUCHI
doaj   +1 more source

Bioprinting Organs—Science or Fiction?—A Review From Students to Students

Advanced Healthcare Materials, EarlyView.
Bioprinting artificial organs has the potential to revolutionize the medical field. This is a comprehensive review of the bioprinting workflow delving into the latest advancements in bioinks, materials and bioprinting techniques, exploring the critical stages of tissue maturation and functionality.
Nicoletta Murenu, Camilla Mussoni, Mateo S. Andrade Mier, Paula Buettner, Nathaly Chicaiza‐Cabezas, Yi‐Yu Robin Dai, Jessica Faber, Maren Fiedler, Zan Lamberger, Xuen Jen Ng, Vanessa Moessler, Anna Rederer, Jonas Roeder, Sabrina Stecher, Katinka Theis, Jeanette Weigelt, Silvia Budday, Gregor Lang, Natascha Schaefer   +18 more
wiley   +1 more source

Asymptotics of a modified holomorphic analytic torsion

Complex Manifolds
We prove a formula for the first few terms of the asymptotic expansion of the holomorphic analytic torsion of the Dirac operator modified by the Clifford action of a real and closed three-form.
Larraín-Hubach Andrés
doaj   +1 more source

In Vivo Skin 3‐D Surface Reconstruction and Wrinkle Depth Estimation Using Handheld High Resolution Tactile Sensing

Advanced Healthcare Materials, EarlyView.
A compact handheld GelSight probe reconstructs in vivo 3‐D skin topography with micron‐level precision using a custom elastic gel and a learning‐based surface normal to height map pipeline. The device quantifies wrinkle depth across various body locations and detects changes in wrinkle depth following moisturizer application.
Akhil Padmanabha, Arpit Agarwal, Catherine Li, Austin Williams, Dinesh K. Patel, Sankalp Chopkar, Achu Wilson, Ahmet Ozkan, Wenzhen Yuan, Sonal Choudhary, Arash Mostaghimi, Zackory Erickson, Carmel Majidi   +12 more
wiley   +1 more source

Ti6Al4V‐Bioglass‐Copper Composites for Load‐Bearing Implants

Advanced Healthcare Materials, EarlyView.
We have designed and manufactured a novel Ti64‐based composite by adding 45S5 bioglass (BG) and copper (Cu). Adding BG on titanium improves wear resistance and biocompatibility, whereas Cu addition improves mechanical strength while providing inherent lifelong bacterial resistance.
Lochan Upadhayay, Bryson White, Susmita Bose, Amit Bandyopadhyay   +3 more
wiley   +1 more source

Heat kernel for open manifolds

Differential Geometry and its Applications, 2010
In a 1991 paper by Buttig and Eichhorn, the existence and uniqueness of a differential forms heat kernel on open manifolds of bounded geometry was proven. In that paper, it was shown that the heat kernel obeyed certain properties, one of which was a relationship between the derivative of heat kernel of different degrees.
openaire   +2 more sources

Recent Progress on Flexible Multimodal Sensors: Decoupling Strategies, Fabrication and Applications

Advanced Materials, EarlyView.
In this review, we establish a tripartite decoupling framework for flexible multimodal sensors, which elucidates the underlying principles of signal crosstalk and their solutions through material design, structural engineering, and AI algorithms. We also demonstrate its potential applications across environmental monitoring, health monitoring, human ...
Tao Wu, Yu‐Tao Li, Luyu Zhao, Yi Zhang, Zhaojie Zhang, Jian Yuan, Yiwen Wu, Anqi Che, Yuanxiao Ma, Yang Chai, Yeliang Wang   +10 more
wiley   +1 more source

Explicit formulas of the heat kernel on the quaternionic projective spaces [PDF]

, 2022
Ali Hafoud, Allal Ghanmi
openalex   +1 more source

Superionic Amorphous Li2ZrCl6 and Li2HfCl6

Advanced Materials, EarlyView.
Amorphous Li2HfCl6 and L2ZrCl6 are shown to be promising solid‐state electrolytes with predicted ionic conductivities >20 mS·cm−1. Molecular dynamics simulations with machine‐learning force fields reveal that anion vibrations and flexible MCl6 octahedra soften the Li coordination cage and enhance mobility. Correlation between Li‐ion diffusivity and the
Shukai Yao, De‐en Jiang
wiley   +1 more source

Constrained Heat Kernel Graph Diffusion Convolution: A High-Dimensional Statistical Approximation via Information Theory

IEEE Access
Graph neural networks have been widely applied in various domains, handling numerous entities with high-dimensional features. Their success largely stems from the powerful information propagation process. Among these networks, diffusion-based approaches,
Zhuo-Chen He
doaj   +1 more source