rigorously

American

[rig-er-uhs-lee] / ˈrɪg ər əs li /

adverb

in a rigidly consistent or uncompromising way; very strictly.

Access to data on the website is rigorously controlled by user account permissions and protected by passwords.
in a way that is severely exacting, accurate, careful, and thorough; to a high standard.

Prior to publication, all content is rigorously reviewed by peer experts and members of the editorial committee.
Logic, Mathematics. in a way that is logically valid.

Can anyone give me a more rigorously written proof of this theorem?

Other Word Forms

overrigorously adverb
semirigorously adverb
unrigorously adverb

Etymology

Origin of rigorously

First recorded in 1400–50; rigorous ( def. ) + -ly ( def. )

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

In one potential off-ramp, Vatanka said that the United States could maintain the blockade but not enforce it rigorously.

From Barron's • Apr. 22, 2026

Not that extremist positions should be off limits, but they ought to be more rigorously addressed.

From Los Angeles Times • Apr. 21, 2026

The Cochrane Collaboration, which rigorously and independently analyses medical data, looked at 17 studies, involving 20,342 volunteers, of drugs that remove amyloid from the brain.

From BBC • Apr. 16, 2026

This is fatal to the film, which is so rigorously shallow that it amounts to a promotional video of the kind that might be produced for a fashion-mag website.

From The Wall Street Journal • Mar. 19, 2026

The only rule, which had not been rigorously enforced, was that you couldn’t aim at anything made of glass.

From "Miss Peregrine's Home for Peculiar Children" by Ransom Riggs

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023