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In [[number theory]], the '''Erdős arcsine law''', named after [[Paul Erdős]], states that the [[prime number|prime]] [[divisor]]s of a number have a distribution related to the [[arcsine distribution]].
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Specifically, say that the ''j''th prime factor ''p'' of a given number ''n'' (in the sorted sequence of distinct prime factors) is "small" when {{nowrap|log log ''p'' < ''j''}}.
Then, for any fixed parameter ''u'', in the limit as ''x'' goes to infinity, the proportion of the integers ''n'' less than ''x'' that have fewer than {{nowrap|''u'' log log ''n''}} small prime factors converges to
:<math>\frac{2}{\pi}\arcsin{\sqrt{u}}.</math>
 
==References==
*{{Citation | last1=Manstavičius | first1=E. | title=Probability theory and mathematical statistics (Vilnius, 1993) | publisher=TEV | location=Vilnius | mr=1649597 | year=1994 | chapter=A proof of the Erdős arcsine law | pages=533–539}}
 
{{DEFAULTSORT:Erdos Arcsine Law}}
[[Category:Number theory]]
 
{{numtheory-stub}}

Revision as of 00:09, 1 March 2014

When people want some thing, they want the very best no matter what it is. When searching for the finest knife sharpener, it is essential to know what you are hunting for and to know what tends to make one of these kitchen tools the ideal. When browsing for knives at the shop, ask if the knife requires to be sharpened regularly: Some knives under no circumstances need sharpening. The Chicago cutlery chef knife belongs to a single such brand. This Corporation began off as knife conditioning service but has grown to include things like qualified knives for the house kitchen to its product repertoire. The Chicago cutlery chef knife is one particular of the most common higher high-quality knives about. Numerous of our knife sets are accessible with no a block.



This knife set has a total of one hundred and 5 amazon reviews giving an overall typical rating of four and a half out of five stars. The reviewer identified that the value was great and the knife set was great as a starter set. The company told them that it could be a outcome of placing the set in the dishwasher. One more reviewer had a challenge with rust even though they did not location the knife set in the dishwasher.

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