Results 81 to 90 of about 6,671 (260)

Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami

Advanced Science, EarlyView.
This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning, Lu Lu, Sophie Leanza, Ruike Renee Zhao   +3 more
wiley   +1 more source

Geometric Singularities of the Stokes Problem

Abstract and Applied Analysis, 2014
When the domain is a polygon of ℝ2, the solution of a partial differential equation is written as a sum of a regular part and a linear combination of singular functions.
Nejmeddine Chorfi
doaj   +1 more source

Quality Thresholds for Angiogenesis Under Acoustic Manipulation in Engineered Vascular Tissues

Advanced Science, EarlyView.
Defined biological and physical quality thresholds achieved through acoustic manipulation regulate cellular alignment and spatial organization, promoting self‐assembling vasculature, extracellular matrix deposition, and angiogenic responses, thereby establishing critical acoustic patterning requirements for engineered vascular tissue development in ...
Oscar O'Dwyer Lancaster‐Jones, Russell Quinn, Niloofar Khoshdel Rad, Kilian Paul, Andrea Frank, Daniela F. Duarte Campos   +5 more
wiley   +1 more source

CHEBYSHEV POLYNOMIALS ON REGULAR POLYGONS IN THE COMPLEX PLANE

Ural Mathematical Journal
The Chebyshev problem is studied  for a regular \(m\)-gon \(G_m\), \(m\geq 3\), in the complex plane \(\mathbb{C}\). Let \(\mathscr{P}_n^1\) be the set of algebraic polynomials of a given degree \(n\) with unit leading coefficient. The problem is to find
Elizaveta O. Shcherbakova
doaj   +1 more source

Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal

Advances in Mathematical Physics, 2017
For n≥3 point charges n-1 of which are negative and equal quasi-exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their ...
Wolodymyr Skrypnik
doaj   +1 more source

On the Polynomials Orthogonal on Regular Polygons

Journal of Approximation Theory, 1999
The author studies the so called Pastro-Al Salam-Ismail polynomials [\textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 121, 553-561 (1994; Zbl 0835.33011) and J. Math. Anal. Appl. 112, No. 2, 517-540 (1985; Zbl 0582.33010)]: polynomials biorthogonal on the unit circle with continuous weight function (under mild conditions ...
openaire   +2 more sources

Hardware‐Attentive Programmable Fourier Ptychography Enables Task‐Adaptive Label‐Free Virtual Staining

Advanced Science, EarlyView.
Task‐adaptive programmable optics enables label‐free virtual staining through optical‐attention‐guided acquisition and reconstruction. By optimizing wavelength, illumination angle, exposure time, and imaging depth, the framework learns task‐relevant optical measurements, generating clinically interpretable virtual stains with improved fidelity, non ...
Tianyue He, Wenyi Jing, Le Zhang, Qican Zhang, Tingdong Kou, Xin He, Yan Qiu, Yang Lu, Jian Cui, Yongfu Wen, Zhenrong Zheng, Hongying Zhang, Dayong Jin, Junfei Shen   +13 more
wiley   +1 more source

A NEW, EFFECTIVE METHOD FOR COMPUTING THE INTERACTION POTENTIAL OF HARD CYCLIC MULTIMER SYSTEMS

TASK Quarterly, 2015
Studies of efficiency of several methods for calculating the interaction potential of a pair of two-dimensional hard cyclic multimers – molecules formed by hard disks (atoms) placed at the vertices of a regular polygon – are reported in this work.
MIKOŁAJ BILSKI
doaj   +1 more source

An Anterior Cingulate Cortex‐Anterior Insular Cortex Glutamatergic Circuit Gates Stress‐Induced Visceral Hypersensitivity and Anxiety via Ionotropic Glutamate Receptors Trafficking

Advanced Science, EarlyView.
This study identifies an anterior cingulate cortex (ACC) to anterior insular cortex (AIC) glutamatergic (Glu) circuit that gates stress induced visceral hypersensitivity and anxiety. Circuit activation induces both phenotypes, whereas inhibition relieves them.
Junwen Wang, Guangbing Duan, Huihui Sun, Zhiyu Dong, Qiwei Wang, Xiaowei Li, Ying Chen, Shuchang Xu, Ying Huang   +8 more
wiley   +1 more source

Hyperbolic Regular Polygons with Notched Edges [PDF]

Discrete & Computational Geometry, 2005
The tiling problem is: Can one always decide in some algorithmic manner, when given an arbitrary collection of tiles (i.e., a protoset), whether or not the given protoset tessellates the plane? In the paper the tiling problem is solved when a tile \(T\) is hyperbolic or a Euclidean regular polygon whose edges are notched with matching bumps and nicks ...
openaire   +1 more source