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.

The implication is straightforward: You can’t build a mind that thinks rigorously about everything except the things you’d prefer it not to.

From The Wall Street Journal • Apr. 13, 2026

“These markets allow us to rigorously validate our technology’s resilience in diverse and challenging weather conditions,” Zoox wrote in a blog post.

From MarketWatch • Mar. 9, 2026

"In order to get over them we have to act methodically, rigorously, and as a team."

From Barron's • Feb. 25, 2026

Following the BBC investigation into so-called nightlife videos, YouTube removed two accounts and said it "rigorously enforces" its community guidelines.

From BBC • Feb. 10, 2026

It would be Heisenberg and his mentor, the soft-spoken but rigorously logical Dane Niels Bohr, who finally divined the solution, in a process Heisenberg likened to watching an object emerge from a thick fog.

From "Big Science" by Michael Hiltzik

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