Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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Supervised Nonnegative Matrix Factorization to Predict ICU Mortality Risk. [PDF]
Proceedings (IEEE Int Conf Bioinformatics Biomed), 2018 Chao G, Mao C, Wang F, Zhao Y, Luo Y.
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A Semisupervised Framework for Automatic Image Annotation Based on Graph Embedding and Multiview Nonnegative Matrix Factorization [PDF]
, 2018 Hongwei Ge +4 more
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Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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Multiple Partial Regularized Nonnegative Matrix Factorization for Predicting Ontological Functions of lncRNAs. [PDF]
Front Genet, 2018 Zhao J, Ma X.
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids
Mathematika, Volume 72, Issue 1, January 2026.Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
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Design and Analysis of an Origami Robot With Tensegrity Characteristics
Applied Bionics and Biomechanics, Volume 2026, Issue 1, 2026.In recent years, small ground robots have demonstrated significant potential in the exploration of complex environments and in rescue operations. However, the rigid structure of conventional robots affects the adaptability and popularity of robots. The research team was inspired by features such as the miniaturization and transport costs of origami ...
Peng Ni +4 more
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Detecting drug communities and predicting comprehensive drug-drug interactions via balance regularized semi-nonnegative matrix factorization. [PDF]
J Cheminform, 2019 Shi JY, Mao KT, Yu H, Yiu SM.
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Approximating orthogonal semi-nonnegative matrix factorization [PDF]
Wady Naanaa, Mohamed Amine Omrani
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