"Deep," in this case,means deepest.

VOA: special.2009.05.24

So what's going on in this case is, I want to distinguish between shallow equality and deep equality.

第一件事情就是,测试浅意义上的相等，这什么意思呢,这是个不太好的英语句子。

麻省理工公开课 - 计算机科学及编程导论课程节选

And these boys are B-I-G big, holding up to 94 litres in an 840mm high by 560mm wide by 340mm deep case.

ENGADGET: Live Luggage = first class pimpin'

The United States is putting together the "broad and deep case" that exists for proving deposed Iraqi leader Saddam Hussein had such weapons, Rice said.

CNN: Rice cites 'personal responsibility' over disputed uranium claim

Unlike the Dell Adamo and the Sony VAIO X, which both seemed to try too hard to look like Apple's MacBook Air, the Series 9's deep black case and sharp angled edges give it a seriously distinct look.

ENGADGET: Samsung Series 9 (NP900X3A) laptop review