Results 61 to 70 of about 91,052 (253)
Diving into the Shielding Surfaces: Construction of Atropisomeric Axes via Multicomponent Reactions
European Journal of Organic Chemistry, EarlyView.We successfully designed and synthesized a diverse library of atropisomeric molecular systems using a scaffold hopping strategy based on the GBB‐3CR. Structural and computational analyses revealed key CH⋅⋅⋅π and π⋅⋅⋅π interactions, aromatic shielding effects, and conformational dynamics, providing insights into their potential biological relevance ...
Michael Fragkiadakis +5 more
wiley +1 more source
Kauzmann Paradox, Supercooling, and Finding Order in Chaos
Angewandte Chemie, Volume 137, Issue 10, March 3, 2025.80 years later: Kauzmann temperature (Tk), and associated entropy catastrophe/paradox remains an enigma for nearly 80 years without any unifying resolution. Potential resolutions to the Kauzmann paradox, however, have so far been limited in the existence of an equilibrium ideal glass transition and traditional description of phase transition. Continued
Andrew Martin, Martin Thuo
wiley +2 more sources
Euclidean hypersurfaces isometric to spheres
AIMS MathematicsGiven an immersed hypersurface $ M^{n} $ in the Euclidean space $ E^{n+1} $, the tangential component $\boldsymbol{\omega }$ of the position vector field of the hypersurface is called the basic vector field, and the smooth function of the normal ...
Yanlin Li +3 more
doaj +1 more source
Hadamard products of hypersurfaces [PDF]
arXiv, 2021 In this paper we, first, characterize hypersurfaces for which their Hadamard product is still a hypersurface. Then we pass to study hypersurfaces and, more generally, varieties which are idempotent under Hadamard powers.
arxiv
$F$-thresholds of hypersurfaces [PDF]
Transactions of the American Mathematical Society, 2009 19 pages; v.2: a slight modification of the argument allowed us to extend our results to the case of an arbitrary regular F-finite ring; v.3: final version, to appear in Transactions of the ...
Mircea Mustaţǎ +2 more
openaire +3 more sources
Osculating hypersurfaces of higher order
Lietuvos Matematikos Rinkinys, 2011 Oscurating surfaces of second order have been studied in classical differential geometry [1]. In this article we generalize this notion to osculating hyper-surfaces of higher order of hyper-surfaces in Euclidean n-space.
Kazimieras Navickis
doaj +1 more source
The interior volume calculation for an axially symmetric black hole
Physics Letters B, 2019 Since an axially symmetric metric is much more complicated than a spherically symmetric metric, the largest hypersurface that corresponds to the interior volume of a black hole proposed by Christodoulou and Rovelli, cannot be found easily. Analogous to a
Xin-Yang Wang, Wen-Biao Liu
doaj
Singularities of spherical surface in R4
Open MathematicsIn this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
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Hodge loci associated with linear subspaces intersecting in codimension one
Mathematische Nachrichten, EarlyView.Abstract Let X⊂P2k+1$X\subset \mathbf {P}^{2k+1}$ be a smooth hypersurface containing two k$k$‐dimensional linear spaces Π1,Π2$\Pi _1,\Pi _2$, such that dimΠ1∩Π2=k−1$\dim \Pi _1\cap \Pi _2=k-1$. In this paper, we study the question whether the Hodge loci NL([Π1]+λ[Π2])$\operatorname{NL}([\Pi _1]+\lambda [\Pi _2])$ and NL([Π1],[Π2])$\operatorname{NL ...
Remke Kloosterman
wiley +1 more source
CR-hypersurfaces of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1994 We proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface.
M. A. Bashir
doaj +1 more source