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Alberto Pepe deleted file The_two_parameters_that.tex
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The two parameters that we use to describe the temporal distributions of arXiv downloads and Twitter mentions are \emph{delay} and the time \emph{span}, which we define as follows. Let $t_0 \in \mathbb{N}^+$ be the date of submission for article $a_i$. We represent both arXiv downloads and Twitter mentions for article $a_i$ as the time series $T$, the value of which at time $t$ is given by the function $\mathbb{T}(a_i,t) \in \mathbb{N}^+$. We then define the time of the first, maximum, and last arXiv download of article $a_i$ as $\mathbb{T}_{\text{first}}(a_i)$, $\mathbb{T}_{\text{max}}(a_i)$, and $\mathbb{T}_{\text{last}}(a_i)$ respectively:
