Results 61 to 70 of about 15,809 (305)
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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Sectional bodies associated with a convex body
, 2000 International audienceWe define the sectional bodies associated to a convex body in R-n and two related measures of symmetry. These definitions extend those of Grunbaum (1963).
Fradelizi, Matthieu
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Advanced Materials Interfaces, EarlyView.Schematic illustration of a sustainable nanofabrication process: chitosan derived from natural sources is used as a biodegradable thin film resist, patterned via Constant Pulse‐Assisted Force Lithography (CP‐AFL) to create tunable nanogrooves. These grooves template gold nanowire formation, enabling high‐resolution nanopatterning under ambient ...
Paolo Pellegrino +7 more
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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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Firey linear combinations of convex bodies
, 2009 For convex bodies, the Firey linear combinations were introduced and studied in several papers. In this paper the mean width of the Firey linear combinations of convex bodies is studied, and the lower bound of the mean width of the Firey linear ...
Xiong, G, Xiao, QM, Cheung, WS
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Advanced Materials Technologies, EarlyView.This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane +4 more
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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
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Shadow-boundaries of convex bodies
, 1996 We shall summarize results from geometric convexity referring to sharp shadow-boundaries of convex polytopes (convex bodies) in Rd, d ⩾ 2. Such shadow-boundaries are homeomorphic to (r − 1)-spheres and can be represented as intersections of these ...
Martini, Horst
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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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Recent Advances of Slip Sensors for Smart Robotics
Advanced Materials Technologies, EarlyView.This review summarizes recent progress in robotic slip sensors across mechanical, electrical, thermal, optical, magnetic, and acoustic mechanisms, offering a comprehensive reference for the selection of slip sensors in robotic applications. In addition, current challenges and emerging trends are identified to advance the development of robust, adaptive,
Xingyu Zhang +8 more
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