continuous vs smooth

continuous

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

  • Expressing an ongoing action or state. 

  • 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. 

  • 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). 

smooth

adj
  • Flowing or uttered without check, obstruction, or hesitation; not harsh; fluent. 

  • Having derivatives of all finite orders at all points within the function’s domain. 

  • Natural; unconstrained. 

  • Not grainy; having an even texture. 

  • Without difficulty, problems, or unexpected consequences or incidents. 

  • Involuntary and non-striated. 

  • That factors completely into small prime numbers. 

  • Having a texture that lacks friction. Not rough. 

  • Unbroken. 

  • Lacking marked aspiration. 

  • Lacking projections or indentations; not serrated. 

  • Placid, calm. 

  • Having a pleasantly rounded flavor; neither rough nor astringent. 

  • Suave; sophisticated. 

  • Bland; glib. 

adv
  • Smoothly. 

verb
  • To make smooth or even. 

  • To make straightforward or easy. 

  • To stroke; especially to stroke an animal's fur. 

  • To reduce to a particular shape or form by pressure; to press, to flatten. 

  • To calm or palliate. 

  • To capture important patterns in the data, while leaving out noise. 

noun
  • The analysis obtained through a smoothing procedure. 

  • Something that is smooth, or that goes smoothly and easily. 

  • A domestic animal having a smooth coat. 

  • A member of an anti-hippie fashion movement in 1970s Britain. 

  • A smoothing action. 

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