polytope

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polytope rimmaa näiden kanssa:

ope, toope...

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Englannin sanakirja

polytope englanniksi

1. puhekieltä A finite region of n-dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".

2. 1964, w:Victor Klee|Victor Klee, On the Number of Vertices of a Convex Polytope, Canadian Journal of Mathematics, Volume XVI, Number 4, http://books.google.com.au/books?id=ZgwT9xyHZ4gC&pg=PA701&dq=%22polytope%22%7C%22polytopes%22&hl=en&sa=X&ei=D4GbUYCHGumfiAeIloCQDg&redir_esc=yv=onepage&q=%22polytope%22%7C%22polytopes%22&f=false page 701,

As is well known, the theory of linear inequalities is closely related to the study of convex polytopes.

3. 1998, F. Pierrot, M. Benoit, P. Dauchez, SamoS: A Pythagorean Solution for Omnidirectional Underwater Vehicles, Jadran Lenar I, Manfred L. Husty (editors), Advances in Robot Kinematics: Analysis and Control, http://books.google.com.au/books?id=noWHmKSdCgsC&pg=PA220&dq=%22polytope%22%7C%22polytopes%22&hl=en&sa=X&ei=D4GbUYCHGumfiAeIloCQDg&redir_esc=yv=onepage&q=%22polytope%22%7C%22polytopes%22&f=false page 220,

This polytope is mapped into a Cartesian force polytope (resp. torque polytope) in the Cartesian space. Such a polytope represents the exact force (resp. torque) that can be produced on the vehicle main body.

4. 2006, Rekha R. Thomas, Lectures in Geometric Combinatorics, http://books.google.com.au/books?id=NLi2cJuupf8C&pg=PA27&dq=%22polytope%22%7C%22polytopes%22&hl=en&sa=X&ei=D4GbUYCHGumfiAeIloCQDg&redir_esc=yv=onepage&q=%22polytope%22%7C%22polytopes%22&f=false page 27,

Verify the Hirsch conjecture for the 3-cube, 4-cube and any other polytope that takes your fancy.

The Steinitz theorem is a very satisfactory understanding of the graphs of three-dimensional polytopes.

5. Noun polytope

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