without loss of generality

without loss of generality prepositional phrase: with a constraining assumption that, however, makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption.

Prepositional phrase

With a constraining assumption that, however, makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption.
- We wish to prove two ellipses in the plane intersect in an even number of points or are tangent. Without loss of generality, assume one of them has the equation x²#43;y²#61;1.
Synonyms:

w.l.o.g., wlog, wolog

without loss of generality meaning in Indonesian

without loss of generality in Indonesian

without loss of generality: tanpa mengurangi keumuman

Synonyms of without loss of generality

Questions about without loss of generality

What does without loss of generality mean?: Without loss of generality means with a constraining assumption that, however, makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption.
What is without loss of generality in Indonesian?: Without loss of generality in Indonesian is tanpa mengurangi keumuman. See Without loss of generality meaning in Indonesian.
What part of speech is without loss of generality?: Without loss of generality is a prepositional phrase.

Words near without loss of generality in the dictionary

Adapted from Wiktionary: without loss of generality (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated: 2026-09-02

Cite this entry: “without loss of generality.” Word.ws, https://word.ws/without_loss_of_generality. Based on Wiktionary, CC BY-SA 4.0.