Matches in SemOpenAlex for { <https://semopenalex.org/work/W650647586> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W650647586 abstract "This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them. The unit cubes, from any point of view, are among the most important and fascinating objects in an n-dimensional Euclidean space. However, our knowledge about them is still quite limited and many basic problems remain unsolved. In this Tract eight topics about the unit cubes are introduced: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's conjecture. In particular the author demonstrates how deep analysis like log concave measure and the Brascamp-Lieb inequality can deal with the cross section problem, how Hyperbolic Geometry helps with the triangulation problem, how group rings can deal with Minkowski's conjecture and Furtwangler's conjecture, and how Graph Theory handles Keller's conjecture." @default.
- W650647586 created "2016-06-24" @default.
- W650647586 creator A5038156708 @default.
- W650647586 date "2006-02-02" @default.
- W650647586 modified "2023-10-11" @default.
- W650647586 title "The Cube-A Window to Convex and Discrete Geometry" @default.
- W650647586 doi "https://doi.org/10.1017/cbo9780511543173" @default.
- W650647586 hasPublicationYear "2006" @default.
- W650647586 type Work @default.
- W650647586 sameAs 650647586 @default.
- W650647586 citedByCount "26" @default.
- W650647586 countsByYear W6506475862012 @default.
- W650647586 countsByYear W6506475862013 @default.
- W650647586 countsByYear W6506475862015 @default.
- W650647586 countsByYear W6506475862017 @default.
- W650647586 countsByYear W6506475862019 @default.
- W650647586 countsByYear W6506475862020 @default.
- W650647586 countsByYear W6506475862021 @default.
- W650647586 countsByYear W6506475862022 @default.
- W650647586 countsByYear W6506475862023 @default.
- W650647586 crossrefType "monograph" @default.
- W650647586 hasAuthorship W650647586A5038156708 @default.
- W650647586 hasConcept C10233890 @default.
- W650647586 hasConcept C110202963 @default.
- W650647586 hasConcept C111919701 @default.
- W650647586 hasConcept C112680207 @default.
- W650647586 hasConcept C114614502 @default.
- W650647586 hasConcept C128814272 @default.
- W650647586 hasConcept C129782007 @default.
- W650647586 hasConcept C135981907 @default.
- W650647586 hasConcept C143669375 @default.
- W650647586 hasConcept C145691206 @default.
- W650647586 hasConcept C157972887 @default.
- W650647586 hasConcept C186450821 @default.
- W650647586 hasConcept C191948623 @default.
- W650647586 hasConcept C206352148 @default.
- W650647586 hasConcept C2524010 @default.
- W650647586 hasConcept C2780129039 @default.
- W650647586 hasConcept C2780990831 @default.
- W650647586 hasConcept C33923547 @default.
- W650647586 hasConcept C41008148 @default.
- W650647586 hasConcept C4107886 @default.
- W650647586 hasConcept C49870271 @default.
- W650647586 hasConcept C60432849 @default.
- W650647586 hasConcept C68363185 @default.
- W650647586 hasConcept C79464548 @default.
- W650647586 hasConcept C88230418 @default.
- W650647586 hasConceptScore W650647586C10233890 @default.
- W650647586 hasConceptScore W650647586C110202963 @default.
- W650647586 hasConceptScore W650647586C111919701 @default.
- W650647586 hasConceptScore W650647586C112680207 @default.
- W650647586 hasConceptScore W650647586C114614502 @default.
- W650647586 hasConceptScore W650647586C128814272 @default.
- W650647586 hasConceptScore W650647586C129782007 @default.
- W650647586 hasConceptScore W650647586C135981907 @default.
- W650647586 hasConceptScore W650647586C143669375 @default.
- W650647586 hasConceptScore W650647586C145691206 @default.
- W650647586 hasConceptScore W650647586C157972887 @default.
- W650647586 hasConceptScore W650647586C186450821 @default.
- W650647586 hasConceptScore W650647586C191948623 @default.
- W650647586 hasConceptScore W650647586C206352148 @default.
- W650647586 hasConceptScore W650647586C2524010 @default.
- W650647586 hasConceptScore W650647586C2780129039 @default.
- W650647586 hasConceptScore W650647586C2780990831 @default.
- W650647586 hasConceptScore W650647586C33923547 @default.
- W650647586 hasConceptScore W650647586C41008148 @default.
- W650647586 hasConceptScore W650647586C4107886 @default.
- W650647586 hasConceptScore W650647586C49870271 @default.
- W650647586 hasConceptScore W650647586C60432849 @default.
- W650647586 hasConceptScore W650647586C68363185 @default.
- W650647586 hasConceptScore W650647586C79464548 @default.
- W650647586 hasConceptScore W650647586C88230418 @default.
- W650647586 hasLocation W6506475861 @default.
- W650647586 hasOpenAccess W650647586 @default.
- W650647586 hasPrimaryLocation W6506475861 @default.
- W650647586 hasRelatedWork W1966511180 @default.
- W650647586 hasRelatedWork W2000272149 @default.
- W650647586 hasRelatedWork W2067306417 @default.
- W650647586 hasRelatedWork W2143808019 @default.
- W650647586 hasRelatedWork W26985254 @default.
- W650647586 hasRelatedWork W3110754926 @default.
- W650647586 hasRelatedWork W3156500326 @default.
- W650647586 hasRelatedWork W3170253976 @default.
- W650647586 hasRelatedWork W4287215706 @default.
- W650647586 hasRelatedWork W650647586 @default.
- W650647586 isParatext "false" @default.
- W650647586 isRetracted "false" @default.
- W650647586 magId "650647586" @default.
- W650647586 workType "book" @default.