For(adsbygoogle = window.adsbygoogle || []).push({}); bothtime dilation equations (kinematicandgravitational) I have often seen

[tex]\Delta t^\prime = \frac{\Delta t}{\sqrt{1-(v/c)^2}}[/tex]

and

[tex]\Delta t' = \frac{\Delta t}{\sqrt{1-\frac{2GM}{rc^2}}}[/tex]

I'll calls these equations as "Set A"

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And at other times as

[tex]\Delta t = \frac{\Delta t_0}{\sqrt{1-(v/c)^2}}[/tex]

and

[tex]\Delta t = \frac{\Delta t_0}{\sqrt{1-\frac{2GM}{rc^2}}}[/tex]

I'll calls these equations as "Set B"

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I'm no physics (or mathematics) major (just a dilettante; that's why I'm asking.) Why uset'(on the left side of the equals sign for "Set A" equations) butt(on the right side of the equals sign for "Set B" equations)? I realize an equation is only good as far as you can interpret it. And so I know these are the same equations, but why the difference?_{0}

Thanks. :)

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# Question re: time dilation equations

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