norm vs singularity

norm

noun
  • if v ne 0 then |v| ne 0; 

  • That which is normal or typical. 

  • A high level of performance in a chess tournament, several of which are required for a player to receive a title. 

  • A rule that is imposed by regulations and/or socially enforced by members of a community. 

  • A sentence with non-descriptive meaning, such as a command, permission, or prohibition. 

  • given a scalar k, |kv|=|k|·|v|, where |k| is the absolute value of k; 

  • given two vectors v,w, |v+w|<|v|+|w| (the triangle inequality). 

verb
  • To endow (a vector space, etc.) with a norm. 

singularity

noun
  • An unusual action or behaviour. 

  • A point where all parallel lines meet. 

  • Celibacy, singleness (as contrasted with marriage). 

  • A point where a measured variable reaches unmeasurable or infinite value. 

  • The value or range of values of a function for which a derivative does not exist. 

  • The state of being singular, distinct, peculiar, uncommon or unusual. 

How often have the words norm and singularity occurred in a corpus of books? (source: Google Ngram Viewer )