Results 61 to 70 of about 4,560,118 (257)
Helvetica Chimica Acta, EarlyView.Proteins are intrinsically flexible and thus require an ensemble description. In abstract conformer space, ensemble diversity is easier to assess and the required ensemble size can be established. Abstract Pairwise distance root mean square deviation defines a hyperspace where conformers with similar shape reside close to each other.
Gunnar Jeschke
wiley +1 more source
Square root of a multivector in 3D Clifford algebras
Nonlinear Analysis, 2020 The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
doaj +1 more source
Ricci Curvature of Real Hypersurfaces in Non-flat Complex Space Forms [PDF]
Mediterranean Journal of Mathematics, 2018 We establish an inequality among the Ricci curvature, the squared mean curvature, and the normal curvature for real hypersurfaces in complex space forms.
T. Sasahara
semanticscholar +1 more source
Extension of Levi-flat hypersurfaces past CR boundaries
, 2006 Local conditions on boundaries of $C^\infty$ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real ...
Lebl, Jiri
core +4 more sources
On some properties of the asymptotic Samuel function
Mathematische Nachrichten, EarlyView.Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring.
A. Bravo, S. Encinas, J. Guillán‐Rial
wiley +1 more source
Elucidating the Three‐Dimensional Structure of Piracetam through Rotational Spectroscopy
ChemistryOpen, EarlyView.Neutral molecules of the nootropic drug piracetam are generated by laser ablation and structurally characterized by microwave spectroscopy. Two conformers differing in the exo/endo configuration of the pyrrolidine ring are detected, with exo being the predominant form.
S. Mato +4 more
wiley +1 more source
Transversal Jacobi Operators in Almost Contact Manifolds
Mathematics, 2020 Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
doaj +1 more source
A classification theorem of nondegenerate equiaffine symmetric hypersurfaces [PDF]
, 2014 Motivated by the ideas and methods used by Naitoh in the consideration of parallel totally real submanifolds in complex space forms, the author of the present paper successfully makes use of the so called Jordan triple and (restricted) structure Lie ...
Li, Xingxiao
core
On formal maps between generic submanifolds in complex space
, 2009 Let H:(M,p)->(M',p') be a formal mapping between two germs of real-analytic generic submanifolds in C^N with nonvanishing Jacobian. Assuming M to be minimal at p and M' holomorphically nondegenerate at p', we prove the convergence of the mapping H.
Sunyé, Jean-Charles
core +3 more sources
The birational geometry of GIT quotients
Bulletin of the London Mathematical Society, EarlyView.Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley +1 more source