Continuous vs. Unending — What's the Difference?

Uninterrupted in time, sequence, substance, or extent.

"Unending" is the season finale of the tenth season and series finale of the science fiction television series Stargate SG-1, and the show's two-hundred fourteenth episode overall. Written and directed by Robert C. Cooper, the episode originally premiered in the United Kingdom on Sky One on March 13, 2007, and in the United States on June 22, 2007 on the Sci Fi Channel.

Attached together in repeated units

Being or seeming to be without an end or limit; boundless.

Of or relating to a line or curve that extends without a break or irregularity.

Not ending; having no end; eternal.

Of or relating to a function between two topological spaces such that the preimage of any open set in the range is an open set in the domain.

Continuing forever or indefinitely;

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

Without intervening space; continued.

(botany) 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).

(grammar) Expressing an ongoing action or state.

Without break, cessation, or interruption; without intervening space or time; uninterrupted; unbroken; continual; unceasing; constant; continued; protracted; extended; as, a continuous line of railroad; a continuous current of electricity.

Not deviating or varying from uninformity; not interrupted; not joined or articulated.

Continuing in time or space without interruption;

Of a function or curve; extending without break or irregularity