Results 121 to 130 of about 43,664 (246)
Abstract Network visualization has traditionally relied on heuristic metrics, such as stress, under the assumption that optimizing them leads to aesthetic and informative layouts. However, no single metric consistently produces the most effective results.
X. Li, P. Zhang, X. Wang, H. Shen, Y. Hu
wiley +1 more source
ABSTRACT Traditional graph representations are insufficient for modelling real‐world phenomena involving multi‐entity interactions, such as collaborative projects or protein complexes, necessitating the use of hypergraphs. While hypergraphs preserve the intrinsic nature of such complex relationships, existing models often overlook temporal evolution in
Xianghe Zhu, Qiwei Yao
wiley +1 more source
On the fractional logarithmic $p$-Laplacian
In this paper, we introduce and investigate the fractional logarithmic $p$-Laplacian $(-Δ)_{p}^{s+\log}$, defined as the first-order derivative with respect to the parameter $t$ of the fractional $p$-Laplacian $(-Δ)_{p}^{t}$ evaluated at $t=s$. We establish that this operator admits the following integral representation \[ \begin{aligned} (-Δ)_{p}^{s ...
Bahrouni, Anouar +3 more
openaire +2 more sources
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles +8 more
wiley +1 more source
Abstract figure legend Comparative multimodal calibration of patient‐specific left atrial (LA) models to identify arrhythmogenic substrates in atrial fibrillation (AF). A, LA models shown in posterior and anterior views, calibrated separately using: late gadolinium enhancement magnetic resonance imaging (LGE‐MRI) image intensity ratio (IIR; blue–red ...
Mahmoud Ehnesh +14 more
wiley +1 more source
ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong +6 more
wiley +1 more source
In this article, we prove the existence of infinitely many solutions for the fractional $p$-Laplacian equation $$ (-\Delta)^s_p u+V(x)|u|^{p-2}u=f(x,u),\quad x\in \mathbb{R}^N $$ where $s\in(0,1)$, $2\leq ...
Youpei Zhang, Xianhua Tang, Jian Zhang
doaj
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrodinger-Kirchhoff type equation $$ M([u]_{s, p}^p) (-\Delta )_p^s u+V(x)|u|^{p-2}u= \alpha |u|^{ p_s^{*}-2 }u+\beta k(x)|u|^{q-2}u ...
Li Wang, Binlin Zhang
doaj
Multiplicity result for non-homogeneous fractional Schrodinger--Kirchhoff-type equations in ℝn
In this paper we consider the existence of multiple solutions for the non-homogeneous fractional p-Laplacian equations of Schrödinger–Kirchhoff ...
Torres Ledesma César E.
doaj +1 more source

