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Titlebook: Strange Phenomena in Convex and Discrete Geometry; Chuanming Zong,James J. Dudziak Textbook 1996 Springer-Verlag New York, Inc. 1996 Area.

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書目名稱Strange Phenomena in Convex and Discrete Geometry
編輯Chuanming Zong,James J. Dudziak
視頻videohttp://file.papertrans.cn/879/878630/878630.mp4
叢書名稱Universitext
圖書封面Titlebook: Strange Phenomena in Convex and Discrete Geometry;  Chuanming Zong,James J. Dudziak Textbook 1996 Springer-Verlag New York, Inc. 1996 Area.
描述Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.
出版日期Textbook 1996
關(guān)鍵詞Area; Finite; Lattice; Lemma; Partition; Volume; approximation; boundary element method; discrete geometry; f
版次1
doihttps://doi.org/10.1007/978-1-4613-8481-6
isbn_softcover978-0-387-94734-1
isbn_ebook978-1-4613-8481-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag New York, Inc. 1996
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,Borsuk’s Problem,Let . denote a subset of .. As usual, we call . the . of .. In studying the relation between a set and its subsets of smaller diameter, K. Borsuk [2] in 1933 raised the following famous problem:.. . . +1 . ., .,...., . .
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Finite Packing Problems,In n-dimensional Euclidean space, how should one arrange m nonoverlapping translates of a given convex body K in order to minimize the diameter, the surface area, or the volume of their convex hull?
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0172-5939 cult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?)
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