Mathematics - geometric topology

Results 141 to 150 of about 5,189 (241)

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano +2 more
wiley +1 more source

An integrated method for lightweight design and additive manufacturing of UAV arms. [PDF]

PLoS One
Wang R, Yang W, Pang G, Liu Z, Rao X, Yu Y. +5 more
europepmc +1 more source

Treatise on Distinction and the Triangle: A Genetic Reconstruction of Mathematics From a single act of distinction — to numbers, geometry, analysis and topology through the geometric quantum △₁ₓ₁

This work proposes a genetic method for grounding mathematics: all key structures — from natural numbers to topology and algebra — are derived from a single pre-mathematical act of distinction and the principle of minimal complexity. It is shown that this path necessarily yields the right isosceles triangle △₁ₓ₁ (legs 1, hypotenuse √2)
openaire +1 more source

Energy Landscapes in Chemical Reactions and Transport

ChemPhysChem, Volume 26, Issue 6, March 15, 2025.
Kinetics/dynamics of chemical reactivity and transport of chemical species in a solid are both determined by the energy landscape in which they take place. Discussing common grounds but also distinct differences may help in advancing the understanding in both fields.
Karl‐Michael Weitzel
wiley +1 more source

Sub-Unit-Cell Logic Governs Transport in TPMS Architectures. [PDF]

Adv Sci (Weinh)
Zhong H +16 more
europepmc +1 more source

Implementation of the E×B and Grad‐B Drift in the EMC3 Code and Verification Using the Method of Manufactured Solutions

Contributions to Plasma Physics, EarlyView.
ABSTRACT Effective management of particle and power exhaust is essential for fusion reactor operation, requiring accurate 3D modeling of divertor physics. The EMC3 code is a well‐established Monte Carlo tool for plasma transport in stellarator edge regions, but until now lacked E×B$$ E\times B $$ and diamagnetic drifts.
Ruben De Wolf +5 more
wiley +1 more source

Refractive Index–Correlated Pseudocoloring for Adaptive Color Fusion in Holotomographic Cytology

Cytometry Part A, EarlyView.
ABSTRACT Conventional bright‐field (BF) cytology of thyroid fine‐needle aspiration biopsy (FNAB) suffers from staining variability and limited subcellular contrast. Here, we present a refractive index–correlated pseudocoloring (RICP) framework that integrates quantitative refractive index (RI) maps obtained by holotomography (HT) with color BF images ...
Minseok Lee +8 more
wiley +1 more source

A Review of Topological Data Analysis and Topological Deep Learning in Molecular Sciences. [PDF]

J Chem Inf Model
Wee J, Jiang J.
europepmc +1 more source

Transversal String Topology and Invariants of Manifolds

Loop spaces have played a recurring and important role in mathematics - from closed geodesics in differential geometry to based loop spaces which play a central role in homotopy theory. The subject of string topology originating from the seminal paper by
Basu, Somnath
core

Quantitative Detection of Entotic Cell‐In‐Cell Structures Using Deformable Segmentation and Deep Learning

Cytometry Part A, EarlyView.
ABSTRACT Cell‐in‐cell (CIC) structures are among the most intriguing cellular phenomena occasionally observed in human cancer specimens. Once regarded as incidental findings, accumulating evidence has linked specific CIC subtypes, particularly entosis, to tumor progression and patient prognosis.
Maria V. Leyba‐Mesa +4 more
wiley +1 more source