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On the top of my page, I have a search bar in math Stack Exchange:

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Now, instead of google, is it possible to directly feed my search query into this search bar itself from the place you type address in of the browser?

Basically, this place:

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Like, instead of 'google search' coming up here:

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I want to have the Stack Exchange search thing, so I can search the question in stack exchange directly without first opening the Stack Exchange site and then searching for questions I want.

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