Well, trends shown on Twitter itself have self-reinforcement effect:
once a trends breaks into the Top 10, it's snowball after that.
Thus, it's not sufficient to just study tweets when identifying
trends.  Breaking into the Top 10 is a major event.

Thus I suggest Twitter carefully records when it changes the Top 10
display and provides it via an API!  This is a separate, computational
processing which affects almost every Twitter user's behavior, and is
thus important to preserve and study.

Cheers,
Alexy

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