منابع مشابه
Influence of crank length and crank-axle height on standing arm-crank (grinding) power.
OBJECTIVE To determine the optimal crank length and crank-axle height for maximum power production during standing arm cranking ("grinding"). METHODS Nine elite professional America's Cup grinders (age = 36 +/- 2 yr, body mass = 104 +/- 1 kg, body fat = 13% +/- 2%) performed eight maximal 6-s sprints on an adjustable standing arm-crank ergometer fitted with an SRM power crank. The protocol in...
متن کاملRelations between the Rank and the Crank
New identities and congruences involving the ranks and cranks of partitions are proved. The proof depends on a new partial differential equation connecting their generating functions.
متن کاملOn an adaptive preconditioned Crank-Nicolson MCMC algorithm for infinite dimensional Bayesian inference
The preconditioned Crank-Nicolson (pCN) method is a MCMC algorithm for implementing the Bayesian inferences in function spaces. A remarkable feature of the algorithm is that, unlike many usual MCMC algorithms, which become arbitrary slow under the mesh refinement, the efficiency of the algorithm is dimension independent. In this work we develop an adaptive version of the pCN algorithm, where th...
متن کاملDyson’s Crank Distribution Conjecture
Bringmann and Dousse recently established a conjecture of Dyson dealing with the limiting asymptotics of the Andrews-Garvan crank statistic for integer partitions. A direct “sieving” technique is used to establish this conjecture and establish the range of validity. Unlike the approach of Bringmann and Dousse, the technique readily yields the analogous result for Dyson’s partition rank and all ...
متن کاملRamanujan's congruences and Dyson's crank.
T he achievement of Karl Mahlburg in this issue of PNAS (1) adds a lustrous chapter to a unique mathematical object: the crank. In 1944, the crank was first hinted at by Freeman Dyson (2), then an undergraduate at Cambridge University. He had written an article, titled Some Guesses in the Theory of Partitions, for Eureka, the undergraduate mathematics journal of Cambridge. Dyson discovered the ...
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ژورنال
عنوان ژورنال: Epidemiology
سال: 2011
ISSN: 1044-3983
DOI: 10.1097/ede.0b013e318212b31a