Function may refer to:
In mathematics, the Ξ function (named for the Greek letter Ξ or Xi) may refer to:
In mathematics, the Minkowski question mark function (or the slippery devil's staircase), denoted by ?(x), is a function possessing various unusual fractal properties, defined by Hermann Minkowski (1904, pages 171–172). It maps quadratic irrationals to rational numbers on the unit interval, via an expression relating the continued fraction expansions of the quadratics to the binary expansions of the rationals, given by Arnaud Denjoy in 1938. In addition, it maps rational numbers to dyadic rationals, as can be seen by a recursive definition closely related to the Stern–Brocot tree.
If is the continued fraction representation of an irrational number x, then
whereas:
If is a continued fraction representation of a rational number x, then
To get some intuition for the definition above, consider the different ways of interpreting an infinite string of bits beginning with 0 as a real number in [0,1]. One obvious way to interpret such a string is to place a binary point after the first 0 and read the string as a binary expansion: thus, for instance, the string 001001001001001001001001... represents the binary number 0.010010010010..., or 2/7. Another interpretation views a string as the continued fraction [0; a1, a2, … ], where the integers ai are the run lengths in a run-length encoding of the string. The same example string 001001001001001001001001... then corresponds to [0; 2, 1, 2, 1, 2, 1, …] = √3 − 1/2. If the string ends in an infinitely long run of the same bit, we ignore it and terminate the representation; this is suggested by the formal "identity":
Pre-Chorus:
Hey, hey bitch, try this!
Guarantee turn a square to a bop bitch
You ain't down, bye bitch
I ain't got time for playin, I'm just saying man
Chorus: (x2)
We out here tryna function, we out here tryna function
We out here tryna function, we out here tryna function
I ain't got time for playin, I'm just saying man
We out here tryna function
We out here tryna function, bitch
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Getting money my hobby, not getting money is nothing
The rappers I listen to is E-40 and Pac
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You think you God, I can sell it a hustler think I can't
Gift of Gab sell the White House black paint
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I'm thinkin bout takin a million dollar insurance policy out on my mouthpiece
Pre-Chorus:
Hey, hey bitch, try this!
Guarantee turn a square to a bop bitch
You ain't down, bye bitch
I ain't got time for playin, I'm just saying man
Chorus: (x2)
We out here tryna function, we out here tryna function
We out here tryna function, we out here tryna function
I ain't got time for playin, I'm just saying man
We out here tryna function
Hey bitch, show cake bitch
It's uncle Earl and the HBK bitch
Mention the gang they already know that we ballin
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Where you from, you say you're lying
Out here we say that you jawsin
You probably thought this never would happen my n-ggas been called that
Alcoholic, sippin on that liquor, oh I'm drunk as hell
F-ckin witta a lil bitch over in Vallejo
Got a whole pack of pre-rolled Young L's
And I'm never down to uno, pockets on sumo
Haters respect the pedigree, ballin heavily
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That means it's crack ho, young G, hotter than Tabasco
I smash hoes, collect two hunnid and pass GO
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Pre-Chorus:
Hey, hey bitch, try this!
Guarantee turn a square to a bop bitch
You ain't down, bye bitch
I ain't got time for playin, I'm just saying man
We out here tryna function, we out here tryna function
We out here tryna function, we out here tryna function
I ain't got time for playin, I'm just saying man