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3
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Paring function - Output becomes exponential for big real inputs
I am using a Cantor pairing function that takes two real number output unique real number.
def cantor_paring(a,b):
return (1/2)*(a+b)*(a+b+1) + b
This work ...
- 101
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53
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solve for function which is the written in terms of itself and its inverse
Let, $f:\rm I\!R \rightarrow \rm I\!R$ be some function that is equal to a linear combination of itself and its inverse. Is is possible write an explicit formula for $f(x)$?
$$
f(x) = af(x) + bf^{-1}(...
- 85
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Best approximation of a real number with two functions
There's two functions, called $F(x)$ and $G(x)$, where $F(x)>x,1<G(x) < x$ ,$F'(x)>0, G'(x)>0$ on $(2,\infty)$, and $F(x),G(x)\in(2,\infty)$. Given $x, y\in (2,\infty)$, and now I want ...
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