no vs under

no

adv
  • not 

  • Used before different, before comparatives with more and less, and idiomatically before other comparatives. 

  • Used idiomatically before certain other adjectives. 

det
  • Not any. 

  • Hardly any. 

  • Not (a); not properly, not really; not fully. 

  • Not any possibility or allowance of (doing something). 

particle
  • Used to show disagreement, negation, denial, refusal, or prohibition. 

  • Used together with an affirmative word or phrase to show agreement. 

  • Used to show agreement with a negative question. 

intj
  • vehement rejection of truthfulness 

  • disgust 

  • mild disapproval 

noun
  • a negating expression; an answer that shows disagreement, denial, refusal, or disapproval 

  • a vote not in favor, or opposing a proposition 

prep
  • not, does not, do not, etc. 

  • without 

  • like 

under

adv
  • Insufficiently. 

  • In or to a lower or subordinate position, or a position beneath or below something, physically or figuratively. 

  • In or into an unconscious state. 

  • So as to pass beneath something. 

adj
  • Insufficient or lacking in a particular respect. 

  • Lower; beneath something. 

  • Under anesthesia, especially general anesthesia; sedated. 

  • In a state of subordination, submission or defeat. 

noun
  • The amount by which an actual total is less than the expected or required amount. 

prep
  • Using or adopting (a name, identity, etc.). 

  • Subordinate to; subject to the control of; in accordance with; in compliance with. 

  • Within the category, classification or heading of. 

  • Below the surface of. 

  • Less than. 

  • In the face of; in response to (some attacking force). 

  • In or at a lower level than; in the area covered or surmounted by. 

  • From one side of to the other, passing beneath. 

How often have the words no and under occurred in a corpus of books? (source: Google Ngram Viewer )