منابع مشابه
Preprint Version: May 30, 2009 THE PROBLEM OF TWO STICKS
Let l = [l0, l1] be the directed line segment from l0 ∈ IR to l1 ∈ IR. Suppose l̄ = [l̄0, l̄1] is a second segment of equal length such that l, l̄ satisfy the “two sticks condition”: ∥∥l1 − l̄0∥∥ ≥ ‖l1 − l0‖ ,∥∥l̄1 − l0∥∥ ≥ ∥∥l̄1 − l̄0∥∥ . Here ‖·‖ is a norm on IR. We explore the manner in which l1− l̄1 is then constrained when assumptions are made about “intermediate points” l∗ ∈ l, l̄∗ ∈ l̄. Roughly spe...
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In this note, we introduce two distinct incentive mechanisms that support dynamic intra-group cooperation in the context of prisoner’s dilemma payoffs. The first mechanism involves a reward structure—a carrot—that supports both triadic and tripartite group relations. The second mechanism involves a punishment structure—a stick—that supports tripartite group relations. We also discuss how these ...
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We study combinatorial principles known as stick and club. Several variants of these principles and cardinal invariants connected to them are also considered. We introduce a new kind of side-by-side product of partial orderings which we call pseudo-product. Using such products, we give several generic extensions where some of these principles hold together with ¬CH and Martin’s Axiom for counta...
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متن کاملPick up sticks
Break a ruler of length n inches with indentations at each inchmark into n sticks of length one by repeatedly picking up all the fragments which are still of length greater than one and throwing them down all at once until all the sticks are of length one. Assume that each stick breaks into exactly two sticks uniformly at the inchmarks. What is the expected number of throws needed to complete t...
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ژورنال
عنوان ژورنال: Nature
سال: 1883
ISSN: 0028-0836,1476-4687
DOI: 10.1038/028172b0