constant vs continuous

constant

adj
  • Unchanged through time or space; permanent. 

  • Firm; solid; not fluid. 

  • Steady in purpose, action, feeling, etc. 

  • Bounded above by a constant. 

  • Consistently recurring over time; persistent. 

noun
  • A quantity that remains at a fixed value throughout a given discussion. 

  • Any property of an experiment, determined numerically, that does not change under given circumstances. 

  • That which is permanent or invariable. 

  • An identifier that is bound to an invariant value; a fixed value given a name to aid in readability of source code. 

continuous

adj
  • Without intervening space; continued. 

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

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

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