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The reciprocal Fibonacci constant ψ is the sum of the reciprocals of the Fibonacci numbers: = = = + + + + + + + +. Because the ratio of successive terms tends to the reciprocal of the golden ratio, which is less than 1, the ratio test shows that the sum converges.
Psi function can refer, in mathematics, to the ordinal collapsing function ...
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test ...
In practice, the square of the ... governed by the Dirac equation that, in free space, read ... The already ... mentioned psi-function.... is now the means for ...
There is an additive definition of the psi function as well. Quoting from Dickson, [ 1 ] R. Dedekind [ 2 ] proved that, if n {\displaystyle n} is decomposed in every way into a product a b {\displaystyle ab} and if e {\displaystyle e} is the g.c.d. of a , b {\displaystyle a,b} then
The Noetic Learning math contest was founded in 2007 by Li Kelty. The company is based in Overland Park, Kansas. [6] The contest has grown over the years, with participants from various schools across the United States. [18] In Spring 2023, more than 35,000 students nationwide participated in the Noetic Learning Math Contest. [19]
The gamma function obeys the equation (+) = ().Taking the logarithm on both sides and using the functional equation property of the log-gamma function gives: