524 research outputs found
Convex functions on Grassmannian manifolds and Lawson–Osserman problem
No full textAbstractWe derive estimates of the Hessian of two smooth functions defined on Grassmannian manifold. Based on it, we can derive curvature estimates for minimal submanifolds in Euclidean space via Gauss map as in [Y.L. Xin, Ling Yang, Curvature estimates for minimal submanifolds of higher codimension, arXiv: 0709.3686; 24]. In this way, the result for Bernstein type theorem done by Jost and the first author could be improved
Correction to: A Siamese transformer network for zero-shot ancient coin classification (Journal of Imaging, (2023), 9, 6, (107)
No full textJochen Büttner was not included as an author in the original publication [1]. The corrected Author Contributions statement appears here. Author Contributions: Conceptualization, J.B. (Siamese structure), Z.G. and O.A. (transformer components); methodology, Z.G., O.A. and Y.L.; software, Z.G. and Y.L.; investigation, Z.G. and D.R.; resources, Z.G. and O.A.; data curation, O.A.; writing—original draft preparation, Z.G., O.A., D.R. and Y.L.; writing—review and editing, Z.G. and O.A.; visualization, Z.G.; supervision, O.A.; project administration, O.A.; after initial publication, J.B. has agreed to be added as a co-author. All authors have read and agreed to the published version of the manuscript. The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.</p
Author Correction: Differential epigenetic reprogramming in response to specific endocrine therapies promotes cholesterol biosynthesis and cellular invasion
Full text linkThis Article omits a declaration from the Competing Interests statement, which should have included the following: ‘One of the authors, Y.L., is an editor on the staff of Nature Communications, but was not in any way involved in the journal review process. The other authors declare no competing interests.’ Also, the Article contains an error in the name of the author Alba Rodriguez-Meira, which is incorrectly given as Alba Meira. These errors have not been corrected in either the PDF or HTML versions of the Article. © 2019, The Author(s)
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