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In mathematics, the Gauss–Kuzmin distribution is a discrete probability distribution that arises as the limit probability distribution of the coefficients in the continued fraction expansion of a random variable uniformly distributed in (0, 1). [4]
In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions.It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several important elementary functions, as well as some of the more complicated transcendental functions.
The eigenvalues form a discrete spectrum, when the operator is limited to act on functions on the unit interval of the real number line. More broadly, since the Gauss map is the shift operator on Baire space, the GKW operator can also be viewed as an operator on the function space (considered as a Banach space, with basis functions taken to be the indicator functions on the cylinders of the ...
where c 1 = 1 / a 1 , c 2 = a 1 / a 2 , c 3 = a 2 / a 1 a 3 , and in general c n+1 = 1 / a n+1 c n . Second, if none of the partial denominators b i are zero we can use a similar procedure to choose another sequence { d i } to make each partial denominator a 1:
We tried out the $600 tote from Drunk Elephant to see if it was worth it or just an expensive mistake.
The owners of a Colorado funeral home accused of piling 190 bodies inside a room-temperature building and giving the grieving relatives fake ashes pleaded guilty Friday to corpse abuse as ...
Italy is ready to talk to the incoming U.S. administration of Donald Trump to avoid potential retaliation against Rome's domestic web tax, Deputy Economy Minister Maurizio Leo said on Tuesday.
The standard Gaussian measure on . is a Borel measure (in fact, as remarked above, it is defined on the completion of the Borel sigma algebra, which is a finer structure);; is equivalent to Lebesgue measure: , where stands for absolute continuity of measures;