Results 71 to 80 of about 15,809 (305)
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
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 +3 more sources
A Pressure Microsensor Made of Parylene‐C for Use as Medical Implant
Advanced Materials Technologies, EarlyView.A monolithic parylene‐C pressure sensor with gold strain gauges provides 6.2 μV$\mu{\rm V}$·mmHg$\cdot{\rm mmHg}$−1$^{-1}$ sensitivity. The morphology of a sputtered thin film strain sensor is granular/columnar, which results in a high gauge factor of 7.5. Thermal bonding and parylene‐C coating create a hermetic cavity.
Ann‐Kathrin Klein +2 more
wiley +1 more source
Covering the Boundary of Special Convex Bodies with Smaller Homothetic Copies
Journal of Harbin University of Science and Technology, 2019 For Hadwiger conjecture that the least number c(K) of translates of the interior of K needed to cover K is at most 2n, according to the fact that c(K) equals the least number of smaller homothetic copies of K with the same homothetic ratio needed to ...
JI Dong-hai, Lv De-jing, MA Ze-min
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Ball and spindle convexity with respect to a convex body [PDF]
Aequationes mathematicae, 2012 Let $C\subset {\mathbb R}^n$ be a convex body. We introduce two notions of convexity associated to C. A set $K$ is $C$-ball convex if it is the intersection of translates of $C$, or it is either $\emptyset$, or ${\mathbb R}^n$. The $C$-ball convex hull of two points is called a $C$-spindle.
Lángi, Zsolt +2 more
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Advanced Materials Technologies, EarlyView.Hierarchical multi‐material TPMS lattices are engineered as flexible tactile sensors by combining soft and stiff elastomeric layers with a conformal conductive coating. The bilayer architecture delivers sensitivity at low pressures while maintaining a broad detectable range under large loads, enabling reliable pressure and vibration monitoring for ...
Reza Noroozi +3 more
wiley +1 more source
, 1993 WELL KNOWN PROBLEMS ON CONVEX BODIES ARE STUDIED WITH METHODS OF (MAINLY CLASSICAL) MATHEMATICAL ANALYSIS. THE MAIN RESULTS:IT IS PROVED THAT THE TRIANGLEIS THE ONLY PLANE CONVEX BODY, FOR WHICH THE MEAN VALUE OF THE AREA OF THE POLYGON FORMED BY ...
Γιαννόπουλος, Απόστολος +1 more
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Shaping Carbon Nitrides for Advanced Macrostructures
Advanced Materials Technologies, EarlyView.This review examines how carbon nitride can be shaped through a range of printing and interfacial assembly methods. By bringing together additive manufacturing and liquid–liquid structuring concepts, carbon nitride is moving beyond its traditional powder‐based photocatalyst form toward digitally designed robust macroscale architectures with high design
Simona Baluchová, Baris Kumru
wiley +1 more source
Random polytopes in smooth convex bodies
, 2004 There is an error in the proof of Theorem 2 of my paper [1]. It appears on; age 91, lines 10 and 11: the application of the affine transformation T changes he measure on the Grassmannian G(d, d-i) which is not taken into account.
Barany, I
core
Convex bodies appearing as Okounkov bodies of divisors
, 2012 Based on the work of Okounkov (Okounkov, 1996 [15], 2003 [16]), Lazarsfeld and Mustaţă (2009) [13] and Kaveh and Khovanskii (preprint) [10] have independently associated a convex body, called the Okounkov body, to a big divisor on a smooth projective ...
Küronya, Alex +5 more
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