Li Shen,Jian Liu,Guo-Wei Wei
Li Shen
Knot theory, a subfield in geometric topology, is the study of the embedding of closed circles into three-dimensional Euclidean space, motivated by the ubiquity of knots in daily life and human civilization. However, focusing on topology, t...
Persistent de Rham-Hodge Laplacians in Eulerian representation for manifold topological learning [0.03%]
基于欧拉表示的流形拓扑学习中的持久德姆-荷德拉普拉斯 операторы
Zhe Su,Yiying Tong,Guo-Wei Wei
Zhe Su
Recently, topological data analysis has become a trending topic in data science and engineering. However, the key technique of topological data analysis, i.e., persistent homology, is defined on point cloud data, which does not work directl...
Multi-scale Jones polynomial and persistent Jones polynomial for knot data analysis [0.03%]
多尺度琼斯多项式和持久性琼斯多项式在结数据中的应用分析
Ruzhi Song,Fengling Li,Jie Wu et al.
Ruzhi Song et al.
Many structures in science, engineering, and art can be viewed as curves in 3-space. The entanglement of these curves plays a crucial role in determining the functionality and physical properties of materials. Many concepts in knot theory p...
Efficient numerical approaches with accelerated graphics processing unit (GPU) computations for Poisson problems and Cahn-Hilliard equations [0.03%]
利用加速图形处理单元(GPU)计算求解泊松问题和Cahn-Hilliard方程的高效数值方法
Saulo Orizaga,Maurice Fabien,Michael Millard
Saulo Orizaga
In this computational paper, we focused on the efficient numerical implementation of semi-implicit methods for models in materials science. In particular, we were interested in a class of nonlinear higher-order parabolic partial differentia...
Application of transport-based metric for continuous interpolation between cryo-EM density maps [0.03%]
基于传输的度量在冷冻电镜密度图之间的连续插值中的应用
Arthur Ecoffet,Geoffrey Woollard,Artem Kushner et al.
Arthur Ecoffet et al.
Cryogenic electron microscopy (cryo-EM) has become widely used for the past few years in structural biology, to collect single images of macromolecules "frozen in time". As this technique facilitates the identification of multiple conformat...
On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism [0.03%]
开放型米氏反应机制中的准稳态近似法
Justin Eilertsen,Marc R Roussel,Santiago Schnell et al.
Justin Eilertsen et al.
The conditions for the validity of the standard quasi-steady-state approximation in the Michaelis-Menten mechanism in a closed reaction vessel have been well studied, but much less so the conditions for the validity of this approximation fo...