continuous vs permanent

continuous

adj
  • Without stopping; without a break, cessation, or interruption. 

  • Expressing an ongoing action or state. 

  • Not deviating or varying from uniformity; not interrupted; not joined or articulated. 

  • Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D. 

  • Without intervening space; continued. 

  • Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function). 

permanent

adj
  • Without end, eternal. 

  • Lasting for an indefinitely long time. 

noun
  • A card whose effects persist beyond the turn on which it is played. 

  • A chemical hair treatment imparting or removing curliness, whose effects typically last for a period of weeks; a perm. 

  • Given an n⨯n matrix a_ij,, the sum over all permutations 𝜋, of ∏ᵢ₌₁ⁿa_i𝜋(i). 

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