continuous

Adjective

1. Without stopping; without a break, cessation, or interruption.
   • a continuous current of electricity
   • he can hear its continuous murmur - 1847 November 1, Henry Wadsworth Longfellow, Evangeline, a Tale of Acadie, Boston, Mass.: William D. Ticknor & Company, →OCLC, (please specify either |part=I or II):

   Synonyms: perpetual nonstop incessant ongoing

   Antonyms: broken discontinuous discrete intermittent interrupted

2. Without intervening space; continued.
   • a continuous line of railroad
   • […] the Plan incorporates in proper combination every available modern technique, including extensive electrification on the new standard high-voltage a.c. system at a frequency of 50 cycles; main-line diesel traction...
   • The dynamic tests at Wildenrath use continuous test tracks built on the site of a former Royal Air Force station that was vacated after the end of the Cold War. - 2023 November 29, Philip Haigh, “New Piccadilly Line...

   Synonyms: protracted extended connected continued unbroken

   Antonyms: broken disconnected disjoint

3. Not deviating or varying from uniformity; not interrupted; not joined or articulated.
4. 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.
5. Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
   • Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.
6. Expressing an ongoing action or state.