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Dense sphere packings a blueprint for formal proofs Thomas C. Hales

Von: Materialtyp: TextTextSprache: Englisch Reihen: ; 40000 | London Mathematical Society Lecture note series / London Mathematical Society ; 400 | Verlag: Cambridge [u.a.] Cambridge Univ. Press 2012Auflage: 1. publBeschreibung: XIV, 271 S. graph. Darst. 23 cmInhaltstyp:
  • Text
Medientyp:
  • ohne Hilfsmittel zu benutzen
Datenträgertyp:
  • Band
ISBN:
  • 9780521617703
Schlagwörter: Andere physische Formen: Online-Ausg.: Dense sphere packings; Erscheint auch als: Dense sphere packingsLOC-Klassifikation:
  • QA166.7
Andere Klassifikation:
  • 17,1
  • SI 320
  • *52-01
  • 52C17
  • 31.59
Online-Ressourcen:
Inhalte:
Zusammenfassung: "The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture"--P. [4] of coverZusammenfassung: "The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture"--P. [4] of coverAndere Ausgaben: Erscheint auch als (Online-Ausgabe): / Hales, Thomas Callister: Dense sphere packings; Online-Ausg.: / Hales, Thomas C., 1958 - : Dense sphere packings
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Buch Buch Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik) Campusbibliothek für Informatik und Mathematik (E2 3) Series (B) LMS 400 (Regal durchstöbern(Öffnet sich unterhalb)) Verfügbar 2202000496885

Literaturverz. S. [261] - 263

1. Close packing -- 2. Trigonometry -- 3. Volume -- 4. Hypermap -- 5. Fan -- 6. Packing - -7. Local fan -- 8. Tame hypermap.

"The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture"--P. [4] of cover

"The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture"--P. [4] of cover

Hales, Thomas C., 1958 - : Dense sphere packings

Hales, Thomas Callister: Dense sphere packings

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