Definition of CONTINUOUS

continuous

Adjective

  • continuing in time or space without interruption; - James Jeans
    • "a continuous rearrangement of electrons in the solar atoms results in the emission of light"
    • "a continuous bout of illness lasting six months"
    • "lived in continuous fear"
    • "a continuous row of warehouses"
    • "a continuous line has no gaps or breaks in it"
  • of a function or curve; extending without break or irregularity

Adj

  • Without stopping; without a break, cessation, or interruption.
  • Without intervening space; continued.
  • 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.
  • Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
  • Expressing an ongoing action or state.

Examples

  • a continuous current of electricity
  • a continuous line of railroad
  • Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.

Origin / Etymology

From Latin continuus, from contineō (“hold together”). Displaced native Old English singal.

Scrabble Score: 12

continuous: valid Scrabble (US) TWL Word
continuous: valid Scrabble Word in Merriam-Webster MW Dictionary
continuous: valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 17

continuous: valid Words With Friends Word