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Viac informácií o knihe Convexity and the Structure of Designs

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

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Anotácia knihy

Suppose 10 triangles on six points cover each of the §15 pairs of points exactly twice. There cannot be §two disjoint triangles among the ten. For §otherwise, 9 crossing pairs need to be covered twice §each, while each of the other 8 triangles affords at §most two such crossing pairs. §The basic example above illustrates the technique §which is pursued. A combinatorial design is §identified with a nonnegative integral solution to a §certain matrix equation involving an inclusion §matrix. Some elementary convex geometry is applied, §resulting in the ''cone condition'' for designs. This §powerful condition is shown to imply something §resembling Delsarte''s inequalities, along with §various other old and new results on the structure §of block intersections in combinatorial designs.§Many open problems and possible new directions are §discussed as well.

Parametre knihy

• Celý názov: Convexity and the Structure of Designs
• Podnázov: The Cone Condition
• Autor: Peter Dukes
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 84
• EAN: 9783639117370
• ID: 06820577
• Nakladateľ: VDM Verlag Dr. Müller
• Hmotnosť: 142 g
• Rozmery: 220 × 150 × 5 mm
• Rok vydania: 2009

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