Results 61 to 70 of about 993,357 (293)
The Minimal Perimeter of a Log-Concave Function
Mathematics, 2020 Inspired by the equivalence between isoperimetric inequality and Sobolev inequality, we provide a new connection between geometry and analysis. We define the minimal perimeter of a log-concave function and establish a characteristic theorem of this ...
Niufa Fang, Zengle Zhang
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Mixed Functionals of Convex Bodies [PDF]
Discrete & Computational Geometry, 2000 In [NATO ASI Ser., Ser. C, Math. Phys. Sci. 440, 273-299 (1994; Zbl 0815.52003)], the author presented a formula expressing the mixed volume of polytopes in terms of volumes of lower-dimensional faces. Here, a similar representation is proved for the mixed functionals of translative integral geometry.
openaire +4 more sources
Advanced Materials, EarlyView.A hierarchical flexible ceramic nanofiber membrane integrates a La‐stabilized ZrO2 scaffold with superhydrophobic UiO‐66‐NH2/CdS heterojunctions. The gas–liquid–solid interfacial architecture sustains vapor‐selective desalination, visible‐light charge separation, and rapid H2 extraction, enabling simultaneous freshwater production and photocatalytic ...
Pengfei Lin +9 more
wiley +1 more source
Covering functionals of cones and double cones
Journal of Inequalities and Applications, 2018 The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by Γm(K) $\Gamma_{m}(K)$.
Senlin Wu, Ke Xu
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Advanced Materials, EarlyView.A solid‐state ionic actuator integrates sensing, actuation, and memory within one material. A brief UV pulse induces long‐lasting deformation via coupled network rearrangement, dehydration, and rehydration, while ionic redistribution enables self‐powered sensing, supporting multifunctional, energy‐efficient soft robotic functions without continuous ...
Yong Min Kim +5 more
wiley +1 more source
Spreadsheets in Education, 2008 In the article, the formulas for orthographic parallel projection of 3D bodies on computer screen are derived using secondary school vector algebra. The spreadsheet implementation is demonstrated in six applications that project bodies with increasing ...
Jan Benacka
doaj
The curvature entropy inequalities of convex bodies
Open MathematicsThere are many entropy inequalities in geometry, some of them can be seen as the Minkowski inequalities in the form of entropy, which play important roles in convex geometry.
Zhang Deyan
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Improving the Cavalieri estimator under non-equidistant sampling and dropouts
Image Analysis and Stereology, 2020 Motivated by the stereological problem of volume estimation from parallel section profiles, the so-called Newton-Cotes integral estimators based on random sampling nodes are analyzed.
Mads Stehr, Markus Kiderlen
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On‐Skin Wireless Vibratory Interfaces by Stretchable Multilayer Circuits
Advanced Materials Interfaces, EarlyView.A battery‐free, stretchable wireless vibratory interface is developed through printable liquid‐metal‐based multilayer circuits. The soft device integrates wireless power reception, signal modulation, and vibrotactile actuation within a compliant platform.
Jiawei Liu +10 more
wiley +1 more source
Spreadsheets in Education, 2009 In the article, the formulas for orthographic parallel projection of 3D bodies on computer screen are derived using secondary school vector algebra. The spreadsheet implementation is demonstrated in six applications that project bodies with increasing ...
Jan Benacka
doaj