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Suppose I have a function $Tx(\frac{t}{T})$, where $T$ is a constant. If I set $\tau=\frac{t}{T}$, is it correct to write $$ Tx(\tau) $$ or $$ \frac{t}{\tau}x(\tau) \quad \text{?} $$

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    your first one is correct. – 2017-01-20

2 Answers 2

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Both forms are correct but I would prefer $Tx(τ)$. Since $T$ is a constant it means that $t$ and $τ$ are changing in such a way to keep that coefficient constant. So there would be no reason to express $T$ with variables unless you want to do further calculations.

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Your second option in fact makes no sense, as it keeps both the old and new variable, which will lead you to various troubles.