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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
Harry spent Monday to Thursday going through a series of rigorous assessments alongside 31 other candidates.
That is why there needs to be a system of rigorous and robust inspections allied with heavy sanctions to enforce minimum standards.
The Gymnasien were raised above all other schools, and the Abitur, which qualified for university admission, was made more rigorous.
His main work involved applying philosophy to mathematics, the philosophy taking precedence over rigorous mathematical proofs.
Nguyen's work is one manifestation of her longstanding love for rigorous and creative mathematical proofs.
Can we really quantify costs in such a rigorous way, for the world as a whole and for a century or more hence?

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