Confused by the notation in Steele's Stochastic Calculus

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Recently started Steele's Stochastic Calculus text and as I was going through the first chapter.

excerpt

While making a case for why $\tau$ is finite he introduces a super-script of $d$ on the variables without any prior mentions of the same.

Anybody who has studied the text before, could you perhaps afford some clarity on what this denotes and means in this context.

Would be extremely grateful for any responses.

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The superscript $d$ on $\tau$ means the standard thing; i.e. $\tau^d$ is $\tau$ to the power of $d$.