Results 91 to 100 of about 607,065 (288)
Computing normal vectors and derivatives at regular and singular points of parametric surfaces
Омский научный вестникThe paper describes a generalization of the Weingarten formulae to find the partial derivatives of arbitrary order of a unit surface normal vector at a given point on a parametric surface. It also proposes methods for computing the normal vectors and its
A. A. Zakharov
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Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces
Advanced Functional Materials, EarlyView.Sea cucumber‐inspired gelatin hydrogels are formed by directional freezing and mechanically programmed through subsequent ionic treatment. Multiscale characterization and modeling link ion‐regulated chain interactions to directional load transfer within the aligned hierarchical architecture.
Youchao Teng +20 more
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Advanced Functional Materials, EarlyView.The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika +5 more
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Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl_2 (Theorem 3).
Dmitry Fuchs, Constance Wilmarth
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Singular Value Decomposition Approaches in A Correspondence Analysis with The Use of R
Folia Oeconomica Stetinensia, 2018 The aim of a correspondence analysis is the graphical representation of the categories of variables in one frame of reference. This visualization is possible due to the decomposition of the basic matrix with the use of Singular Value Decomposition (SVD).
Brzezińska Justyna
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Tellus: Series A, Dynamic Meteorology and Oceanography, 2020 This study examined tropical cyclones (TCs) Noul and Nepartak to demonstrate the evolutions of singular vector perturbations. Perturbations comprise eigen-solutions for dry total energy from two domains with different focuses, namely the TC itself and ...
John Chien-Han Tseng, Young-Sin Lai
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Advanced Functional Materials, EarlyView.A geometry‐reconfigured additive manufacturing strategy converts planar printed soft materials into soft compact neural probes with integrated hydrogel electrodes and microfluidic channels. The resulting NeuroMAP platform enables scalable multichannel recording, localized chemical delivery, stable in vivo electrophysiological recording, and reduced ...
Hyunjin Lee +15 more
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A Fast Neural Network Algorithm for Principal Singular Triplet Extraction
四川大学学报. 自然科学版, 2016 A fast and stable neural network algorithm for principal singular triplet (PST) extraction is proposed to perform the online singular value decomposition (SVD) of the cross-covariance matrix of two high-dimensional data streams.
FENG Xiao-Wei +3 more
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AIP Advances, 2018 For most surface defect detection methods based on image processing, image segmentation is a prerequisite for determining and locating the defect. In our previous work, a method based on singular value decomposition (SVD) was used to determine and ...
Qianlai Sun, Yin Wang, Zhiyi Sun
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Singular Vectors, Metrics, and Adaptive Observations
Journal of the Atmospheric Sciences, 1998 Abstract Singular vectors of the linearized equations of motion have been used to study the instability properties of the atmosphere–ocean system and its related predictability. A third use of these singular vectors is proposed here: as part of a strategy to target adaptive observations to “sensitive” parts of the atmosphere. Such observations could be
Palmer T N +3 more
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