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

Derived Forms

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.

By defining these perceptual attributes more rigorously, the researchers have supplied a missing piece in Schrödinger's long standing vision for a closed mathematical model of color.

From Science Daily • Jun. 7, 2026

YouTube said its hate speech policy "outlines clear guidelines prohibiting content that promotes violence or hatred against individuals or groups based on certain attributes. We enforce this policy rigorously."

From BBC • May 28, 2026

Rollins similarly championed Black pride on "Airegin," another of his best-known pieces which is rigorously quick-paced -- and whose title is an anagram for Nigeria.

From Barron's • May 26, 2026

Montblanc’s craftsmen are rigorously trained; for example, learning how to grind a gold nib takes over six months.

From The Wall Street Journal • Apr. 21, 2026

At Beverloo, the boys trained rigorously for five months.

From "Hitler Youth: Growing Up in Hitler's Shadow" by Susan Campbell Bartoletti

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