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What does rigorous mean?

Looking for the meaning or definition of the word rigorous? Here's what it means.

Adjective
  1. Showing, causing, or favoring rigour; scrupulously accurate or strict; thorough.
  2. Severe; intense.
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Examples
The first course of goat cheese ravioli was rigorous and delightful in its pretty sauce, an intense parsley froth.
But to advance our knowledge such views need to be supported by rigorous analytical reasoning and the dispassionate gathering of cases and data.
Can we really quantify costs in such a rigorous way, for the world as a whole and for a century or more hence?
His main work involved applying philosophy to mathematics, the philosophy taking precedence over rigorous mathematical proofs.
He applied sandal paste on his forehead and wore the sacred thread across his body and was rigorous in the ablutions before prayers.
The University is considering plans to introduce more rigorous target quotas for admissions of students from disadvantaged backgrounds.

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