The isotropic constant of random polytopes with vertices on convex surfaces

Journal of Complexity ◽

10.1016/j.jco.2019.01.001 ◽

2019 ◽

Vol 54 ◽

pp. 101394 ◽

Author(s):

Joscha Prochno ◽

Christoph Thäle ◽

Nicola Turchi

Keyword(s):

Random Polytopes ◽

Isotropic Constant ◽

Convex Surfaces

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On the Isotropic Constant of Random Polytopes with Vertices on an $$\ell _p$$ ℓ p -Sphere

Journal of Geometric Analysis ◽

10.1007/s12220-017-9826-z ◽

2017 ◽

Vol 28 (1) ◽

pp. 405-426 ◽

Author(s):

Julia Hörrmann ◽

Joscha Prochno ◽

Christoph Thäle

Keyword(s):

Random Polytopes ◽

Isotropic Constant

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On the isotropic constant of random polytopes

Advances in Geometry ◽

10.1515/advgeom.2010.009 ◽

2010 ◽

Vol 10 (2) ◽

Author(s):

N. Dafnis ◽

A. Giannopoulos ◽

O. Guédon

Keyword(s):

Random Polytopes ◽

Isotropic Constant

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On the Isotropic Constant of Random Polytopes

Journal of Geometric Analysis ◽

10.1007/s12220-015-9567-9 ◽

2015 ◽

Vol 26 (1) ◽

pp. 645-662 ◽

Author(s):

David Alonso-Gutiérrez ◽

Alexander E. Litvak ◽

Nicole Tomczak-Jaegermann

Keyword(s):

Random Polytopes ◽

Isotropic Constant

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Heat Transfer Measurements from Concave and Convex Surfaces with a Fully Developed Confined Impinging Slot Jet

Proceedings of the 15th International Heat Transfer Conference ◽

10.1615/ihtc15.ipj.009035 ◽

2014 ◽

Author(s):

Seong Jung Kim ◽

Yeong Hwan Kim ◽

Hyunjin Park ◽

Dae Hee Lee ◽

Phillip Ligrani

Keyword(s):

Heat Transfer ◽

Convex Surfaces

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Analysis on radiation of antenna mounted on perfectly conducting convex surfaces by using NURBS‐UTD method

IET Microwaves Antennas & Propagation ◽

10.1049/iet-map.2016.0745 ◽

2017 ◽

Vol 11 (6) ◽

pp. 935-941 ◽

Author(s):

Nan Wang ◽

Xiaojie Dang ◽

Haobo Yuan ◽

Changhong Liang

Keyword(s):

Convex Surfaces

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A SIMPLICIAL POLYTOPE THAT MAXIMIZES THE ISOTROPIC CONSTANT MUST BE A SIMPLEX

Mathematika ◽

10.1112/s0025579315000133 ◽

2015 ◽

Vol 62 (1) ◽

pp. 307-320 ◽

Author(s):

Luis Rademacher

Keyword(s):

Isotropic Constant ◽

Simplicial Polytope

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On unique determination of convex surfaces in a pseudoriemannian spherical space. 1

Journal of Soviet Mathematics ◽

10.1007/bf01106482 ◽

1990 ◽

Vol 51 (2) ◽

pp. 2273-2276

Author(s):

A. D. Milka

Keyword(s):

Unique Determination ◽

Spherical Space ◽

Convex Surfaces

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The dimension print of most convex surfaces

Monatshefte für Mathematik ◽

10.1007/bf01318232 ◽

1997 ◽

Vol 123 (3) ◽

pp. 203-207

Author(s):

Gheorghe Crăciun ◽

Tudor Zamfirescu

Keyword(s):

Convex Surfaces

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On the lattice points on strictly convex surfaces

Journal of Number Theory ◽

10.1016/0022-314x(76)90008-1 ◽

1976 ◽

Vol 8 (3) ◽

pp. 298-307 ◽

Author(s):

Bohuslav Divis

Keyword(s):

Lattice Points ◽

Convex Surfaces ◽

Strictly Convex

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Analysis of Cutting Forces and Machining Error in Ball End Milling of Cylindrical Surfaces

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.328-330.560 ◽

2011 ◽

Vol 328-330 ◽

pp. 560-564

Author(s):

Ba Sheng Ouyang ◽

Guo Xiang Lin ◽

Yong Hui Tang

Keyword(s):

Cutting Forces ◽

End Milling ◽

Cutting Conditions ◽

Machining Error ◽

Machined Surface ◽

Convex Surfaces ◽

Machining Errors ◽

End Mills ◽

Tool Deflections ◽

Cutting forces and machining error in contouring of concave and convex surfaces using helical ball end mills are theoretically investigated. The cutting forces are evaluated based on the theory of oblique cutting. The machining errors resulting from the tool deflections due to these forces are evaluated at various points of the machined surface. The influence of various cutting conditions and cutting modes on machining error is investigated and discussed.

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