Results 201 to 210 of about 12,590 (237)

Pentagonal <i>vs</i> quadrangular conjunctival autograft in pterygium surgery: a comparative study on graft retraction. [PDF]

Int J Ophthalmol
Bahar A, Doğan AŞ.
europepmc   +1 more source

Anterior-posterior systematic deficits of cortical thickness in early-onset schizophrenia. [PDF]

Commun Biol
Fan YS, Xu Y, Wan B, Sheng W, Wang C, Yang M, Valk SL, Chen H.   +7 more
europepmc   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

Application of UMAP to identify refined gold sources using chemical composition analysis. [PDF]

Sci Rep
Verbel AA, Gregory DD, Schutesky ME, Thompson J, McInnes L, Figueroa MA, Moreira-Lima EA, Tadao-Joko C.   +7 more
europepmc   +1 more source

The orbitofrontal cortex forms a context-generalized spatial schema that preserves topology and distance

Basu R, Mozaffarilegha M, Bölükbaşı I, Üstüner C, Ito HT.   +4 more
europepmc   +1 more source

Geodesics and Almost Geodesics Curves

Results in Mathematics, 2018
An \textit{almost geodesic} of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) in the manifold so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t)\), \(b(t)\).
Olga Belova, Josef Mikeš, Karl Strambach   +2 more
openaire   +2 more sources

Geodesic compatibility and integrability of geodesic flows

Journal of Mathematical Physics, 2003
We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in
openaire   +1 more source