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

It is a book that leads with its rigorously achieved style, which is stripped down, dryly unsentimental and keenly attuned to the tensions present in families and friendships.

From The Wall Street Journal • Apr. 17, 2026

The firm projects a recovery in the coming year, but its finance chief stressed that it would have to focus on "rigorously" reducing costs.

From BBC • Mar. 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