Word.ws English Dictionary

w.l.o.g.

w.l.o.g. is the initialism of without loss of generality.

Meaning of without loss of generality

Prepositional phrase

  1. 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

Prepositional phrase capitalized: W.L.O.G.

W.L.O.G.

  1. (abbreviation, initialism) Initialism of without loss of generality.

Forms of w.l.o.g.

alternative formwlog
alternative formw.l.o.g.
alternative formwolog
alternative formWLOG
alternative formWOLOG

Questions about w.l.o.g.

What is w.l.o.g. the initialism of?
W.l.o.g. is the initialism of without loss of generality.
What part of speech is w.l.o.g.?
W.l.o.g. is a prepositional phrase.

Words near w.l.o.g. in the dictionary

  1. W.D. Wis.
  2. W.D.N.C.
  3. W.D.N.Y.
  4. w.e.f.
  5. W.H.O.
  6. w.l.o.g.
  7. W.O.
  8. W.O.s
  9. w.p.
  10. w.r.t.
  11. W.Va.

Source and license

Adapted from Wiktionary: w.l.o.g. (page history and authors); W.L.O.G. (page history and authors); 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:

Cite this entry: “w.l.o.g..” Word.ws, https://word.ws/w.l.o.g.. Based on Wiktionary, CC BY-SA 4.0.