Permutation and cycles
Let be the set (we call each element a vertex) and
a permutation of be , i.e.,
denote the fact that in a permutation, position has vertex .
There are possible permutations of .
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Schroeder & Gibson (2007) Disk failures in the real world
Hard disk datasheet: MTTF of 1M to 1.5M hours, suggesting nominal failure rate
of 0.58 to 0.88%. But annual disk replacement rate observed >1%, usually 2-4%
and up to 13% in some system.
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Neely (2017) Chinese Foreign Exchange Reserves, Policy Choices and the U.S. Economy
Risk of exchange rate fluctuation: Insulated by futures and options
contracts
available for businesses in developed economies
other: government need to manage exchange rate
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Ryabko et al (2004) A new test for randomness and its application (JSPI)
An article on boosting the power of chi-squared test for checking randomness.
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How to fly a horse
Kevin Ashton / 2015
Book about human creativity.
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