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The Reputation Leagues sidebar explains:

These friendly reputation leagues are an informal way of tracking your reputation within the community on a particular Stack Exchange.

which does not conform to trademark use guidelines:

The phrase "Stack Exchange" is generally used as an adjective, not a noun. One would say "Propose a Stack Exchange site on Area 51" (correct), not "Propose a Stack Exchange on Area 51" (wrong).

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    I'm just waiting for someone to come along and hit you with a giant noun. – Nathan Tuggy Jan 13 '17 at 6:59
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This is quite weird because before that, they did use "Stack Exchange" as an adjective:

When your fellow users vote up your questions and answers on a Stack Exchange site, you generate reputation. Reputation is a rough measure of:

Since, they probably mean "Stack Exchange site", the easiest fix is to insert the word "site" at the end of the sentence:

These friendly reputation leagues are an informal way of tracking your reputation within the community on a particular Stack Exchange site.

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