continuous vs uniform

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). 

uniform

adj
  • Unvarying; all the same. 

  • (of a polyhedron) That is isogonal and whose faces are regular polygons; (of an n-dimensional (n>3) polytope) that is isogonal and whose bounding (n-1)-dimensional facets are uniform polytopes. 

  • with speed of convergence not depending on choice of function argument; as in uniform continuity, uniform convergence 

  • Consistent; conforming to one standard. 

  • Composed of a single macromolecular species. 

noun
  • A distinctive outfit that serves to identify members of a group. 

  • A uniformed police officer (as opposed to a detective). 

verb
  • To clothe in a uniform. 

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