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Mathematical name of time dilation curve 
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#1
Aug1614, 07:29 PM

P: 39

In mathematics, what is the name (type) for a curve given by velocity and time dilation?
Specifically, I want to find a name for the curve [itex]y=1/(1x^2)^{1/2}[/itex] This curve is derived from the equation of a unit circle [itex](xa)^2+(yb)^2=r^2[/itex] where [itex]y=(1x^2)^{1/2}[/itex] 


#2
Aug1714, 12:02 AM

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It's called a hyperbola. Well  sort of.
The general equation is: ##(x^2h)(y^2k)=m## Your relation has ##k=0, h=1, m=1## This is a rectangular hyperbola in ##(x^2,y^2)## You can get much more general than that by just taking the product of two polynomials... $$P_n(x)P_m(y)=\text{const.}$$ 


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