Ricci flow deforms the Riemannian metric proportionally to the curvature, such that the curvature evolves according to a heat diffusion process and eventually becomes constant everywhere. Ricci flow has demonstrated its great potential by solving various problems in many fields, which can be hardly handled by alternative methods so far....
An enantioselective 1,3-dipolar cycloaddition of 2-cyclo-hexene-1-one and azomethine ylide generated in situ from isatin and amino ester was developed by employing proline sulfonamide as the catalyst. Consequently, novel polycyclic spirooxindole scaffolds with three contiguous stereocenters were prepared in high yield (up to 95%) with excellent diastereo- (> 20:1 dr) and...
Gramene (www.gramene.org) is a curated resource
for genetic, genomic and comparative genomics
data for the major crop species, including rice,
maize, wheat and many other plant (mainly grass)
species. Gramene is an open-source project.
All data and software are freely downloadable
through the ftp site (ftp.gramene.org/pub/gramene)
and available for use...
Rice, maize, sorghum, wheat, barley and the other
major crop grasses from the family Poaceae
(Gramineae) are mankind’s most important source
of calories and contribute tens of billions of dollars
annually to the world economy (FAO 1999, http://www.fao.org; USDA 1997, http://www.usda.gov).
Continued improvement of Poaceae crops is necessary
in order...
Gramene is a comparative information resource for plants that integrates data across diverse data domains. In this article,
we describe the development of a quantitative trait loci (QTL) database and illustrate how it can be used to facilitate
both the forward and reverse genetics research. The QTL database contains the...
Now in its 10th year, the Gramene database (http://www.gramene.org) has grown from its primary focus on rice, the first fully-sequenced grass genome, to become a resource for major model and crop plants including Arabidopsis, Brachypodium, maize, sorghum, poplar and grape in addition to several species of rice. Gramene began with...
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from the eigenvalues and eigenfunctions of the Laplace-Beltrami operator determines the Riemannian metric. This work proves the analogy on Euclidean polyhedral surfaces (triangle meshes), that the discrete heat kernel and the...