An acronym used by mathematicians to mean without loss of generality. Usually it is used to mould a part of a proof into a form which is more easily imagined.

For example, in 2D coordinate geometry, a phrase like "Without loss of generality, we can say that the circle is at the origin" is used. Without adding this sentence, every `x` coordinate in the example (or proof) at hand would have to be replaced with (`x` - `a`), and every `y` coordinate would have to be replaced with (`y` - `b`), where (`a`, `b`) is the centre of the circle. It is simpler just to do away with `a` and `b`, and focus on the core of the issue without any extra distractions. Of course, once the core of the issue *is* understood, one should go back and check that generality is indeed not lost in translating the origin by (-`a`, -`b`). With the understanding of the easier specific case, the extra load of carrying the details of `a` and `b` through the proof is reduced dramatically.