526 research outputs found
Using essential patent index and essential technological strength to evaluate industrial technological innovation competitiveness
No full textConstructing a patent citation map using bibliographic coupling: a study of Taiwan's high-tech companies
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On unfolding lattice polygons/trees and diameter-4 trees
No full textWe consider the problems of straightening polygonal trees and convexifying polygons by continuous motions such that rigid edges can rotate around vertex joints and no edge crossings are allowed. A tree can be straightened if all its edges can be aligned along a common
straight line such that each edge points away from a designated leaf node. A polygon can be convexified if it can be reconfigured to a convex polygon. A lattice tree (resp. polygon) is a tree (resp. polygon) containing only edges from a square or cubic lattice. We first show that a 2D lattice chain or a 3D lattice tree can be straightened efficiently in O(n) moves and time, where n is the number of tree edges. We then show that a 2D lattice tree can be straightened efficiently in O(n2) moves and time.
Furthermore, we prove that a 2D lattice polygon or a 3D lattice polygon with simple shadow can be convexified efficiently in O(n2) moves and time. Finally, we show that two special classes of diameter-4 trees in two dimensions can always be straightened
Author Correction:DNA methylation predicts age and provides insight into exceptional longevity of bats
Full text linkCorrection to: Nature Communications https://doi.org/10.1038/s41467-021-21900-2, published online 12 March 2021.The original version of this Article omitted from the author list the 34th author L. Gerardo Herrera M., who is from the ‘Estación de Biología de Chamela, Instituto de Biología, Universidad Nacional Autónoma de México, 48980 San Patricio, Mexico’ and the 35th author José J. Flores-Martínez, who is from the ‘Departamento de Zoología, Instituto de Biología, Universidad Nacional Autónoma de México, 04510 Ciudad de México, Mexico’. Additionally, the following was added to the Author Contributions: ‘L.G.H.M., J.J.F.M., M.N., B.P., M.L.P., R.D.R., E.C.T., S.C.V., G.S.W., and D.Z. provided or prepared samples’ in place of ‘M.N., B.P., M.L.P., R.D.R., E.C.T., S.C.V., G.S.W., and D.Z. provided or prepared samples.’The original version of the Supplementary Information associated with this Article contained an error in p. 4, which incorrectly read ‘Bat capture and handling were conducted under permits #7668-15 and 2492-17 from Dirección General de Vida Silvestre, and permits #17-16 and 21-17 from Secretaría de Gobernación.’ The correct version states ‘#7668-15, 2492-17 and 5409-18’ in place of ‘#7668-15, 2492-17’ and ‘#17-16, 21-17 and 20-18’ in place of ‘#17-16 and 21-17.’ The HTML has been updated to include a corrected version of the Supplementary Information.The original version of this Article contained an error in the email address of the corresponding author Steve Horvath, which was missing the terminal edu and should be [email protected] have been corrected in both the PDF and HTML versions of the Article
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