Results 91 to 100 of about 2,812 (235)
Conformality and Q-harmonicity in Carnot groups
Duke Mathematical Journal, 2006 We show that if f is a 1-quasiconformal map defined on an open subset of a Carnot group G, then composition with f preserves Q-harmonic functions. We combine this with a regularity theorem for Q-harmonic functions and an algebraic regularity theorem for maps between Carnot groups to show that f is smooth.
Capogna, Luca, Cowling, Michael
openaire +4 more sources
Where Mathematical Symbols Come From
Topics in Cognitive Science, EarlyView.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley +1 more source
Some Results on Maps That Factor through a Tree
Analysis and Geometry in Metric Spaces, 2015 We give a necessary and sufficient condition for a map deffned on a simply-connected quasi-convex metric space to factor through a tree. In case the target is the Euclidean plane and the map is Hölder continuous with exponent bigger than 1/2, such maps ...
Züst Roger
doaj +1 more source
Distinct Outflow Dynamics and Cloud Properties in Rapidly Intensifying Tropical Cyclones
Geophysical Research Letters, Volume 52, Issue 19, 16 October 2025.Abstract The role of upper‐level outflow in tropical cyclone (TC) rapid intensification (RI) remains poorly quantified compared to thermodynamic drivers. Combining high‐resolution satellite observations and statistical modeling, this study reveals distinct outflow dynamics and cloud properties differentiating RI from slow‐intensifying (SI‐1/SI‐2) TCs ...
Yangyong Ou +3 more
wiley +1 more source
A Decade with VAMDC: Results and Ambitions
Atoms, 2020 This paper presents an overview of the current status of the Virtual Atomic and Molecular Data Centre (VAMDC) e-infrastructure, including the current status of the VAMDC-connected (or to be connected) databases, updates on the latest technological ...
Damien Albert +72 more
doaj +1 more source
Multicomponent Synthesis of Fluorine‐Containing Bioactive Compounds and Drugs
European Journal of Organic Chemistry, Volume 28, Issue 38, October 15, 2025.Multicomponent reactions are robust synthetic tools to assamble complex polyheterocycles and other interesting molecular architectures with potential application in medicinal chemistry, including their fluorine‐containing analogues. Fluorine atoms placed strategically into bioactive molecules often enhance essential pharmacokinetic parameters like ...
Ivette Morales‐Salazar +7 more
wiley +1 more source
Chemistry – A European Journal, Volume 31, Issue 56, October 8, 2025.The ring expansion of α‐cyclopropyl diazoacetates into cyclobutenoates upon irradiation at 425 nm was reported in moderate to excellent yields (17% to 75%) and moderate to good regioisomeric ratio (55:45 to 82:18). The formation of two regioisomers was explained using DFT calculations as well as the involvement of a singlet state carbene.
Raphaël Dollet +3 more
wiley +1 more source
FEBS Letters, Volume 599, Issue 20, Page 2954-2972, October 2025.Three‐dimensional (3D) biological systems have become key tools in lymphoma research, offering reliable in vitro and ex vivo platforms to explore pathogenesis and support precision medicine. This review highlights current 3D non‐Hodgkin lymphoma models, detailing their features, advantages, and limitations, and provides a broad perspective on future ...
Carla Faria +3 more
wiley +1 more source