What Is the Name of This Relativistic Proper Velocity Equation?

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SUMMARY

The equation for Proper Velocity PA(t) is defined as PA(t) = limdt→0 (v(t) - v(t - dt))(1 - (v(t)v(t - dt)/c2))-1 dt-1. This equation calculates the Proper Velocity of an object as a function of time based on its velocity v(t) relative to an inertial reference frame. The equation is referenced as RTC7683-7, which can be further explored at the provided URL for detailed mathematical context.

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rhz_prog
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Just got some strange equation from relativistic travel problem :

[tex]{\it PA} \left( t \right) =\lim _{{\it dt}\rightarrow 0} \left( v \left( t \right) -v \left( t-{\it dt} \right) \right) \left( 1-{\frac {v \left( t \right) v \left( t-{\it dt} \right) }{{c}^{2}}} \right) ^{-1}{{\it dt}}^{-1}[/tex]

I use this equation to calculate the Proper Velocity of an object as a function of time PA(t) given its velocity v(t) as a function of time.

See equation RTC7683-7 in the URL below for more detail :

http://orimath.blogspot.com/2008/08/mathematical-basis-of-rtc7683.html

I want to know what this equation is called in English ?
 
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v(t) in the question above is the velocity of the object relative to an inertial reference frame as a function over time.
 

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