“Never odd or even” challenge
نویسندگان
چکیده
منابع مشابه
Odd or even on plane trees
Over all plane trees with n edges, the total number of vertices with odd degree is twice the number of those with odd outdegree. Deutsch and Shapiro posed the problem of 3nding a direct two-to-one correspondence for this property. In this article, we give three di5erent proofs via generating functions, an inductive proof and a two-to-one correspondence. Besides, we introduce two new sequences w...
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We define two classes of colorings that have odd or even chirality on hexagonal lattices. This parity is an invariant in the dynamics of all loops, and explains why standard Monte Carlo algorithms are nonergodic. We argue that adding the motion of “stranded” loops allows for parity changes. By implementing this algorithm, we show that the even and odd classes have the same entropy. In general, ...
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We propose that even-sized small groups often experience lower cohesion than odd-sized small groups. Studies 1 and 2 demonstrate this effect within threeto six-person groups of freshman roommates and sibling groups, respectively. Study 3 replicates the basic even/odd effect among threeto five-person groups in a laboratory experiment that examines underlying mechanisms. To account for the even/o...
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ژورنال
عنوان ژورنال: Analytical and Bioanalytical Chemistry
سال: 2021
ISSN: ['1618-2642', '1618-2650']
DOI: https://doi.org/10.1007/s00216-021-03235-5