Continuous vs. Successive

Continuousadjective

Without stopping; without a break, cessation, or interruption

‘a continuous current of electricity’;

Successiveadjective

Coming one after the other in a series.

‘They had won the title for five successive years.’;

Continuousadjective

Without intervening space; continued

‘a continuous line of railroad’;

Successiveadjective

Of, or relating to a succession; hereditary.

‘a successive title; a successive empire’;

Continuousadjective

(botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.

Successiveadjective

Following in order or in uninterrupted course; coming after without interruption or interval; following one after another in a line or series; consecutive; as, the successive revolution of years; the successive kings of Egypt; successive strokes of a hammer.

‘Send the successive ills through ages down.’;

Continuousadjective

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.

Successiveadjective

Having or giving the right of succeeding to an inheritance; inherited by succession; hereditary; as, a successive title; a successive empire.

Continuousadjective

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.’;

Successiveadjective

in regular succession without gaps;

‘serial concerts’;

Continuousadjective

(grammar) Expressing an ongoing action or state.

Continuousadjective

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.

‘he can hear its continuous murmur.’;

Continuousadjective

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

Continuousadjective

continuing in time or space without interruption;

‘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’; ‘moving midweek holidays to the nearest Monday or Friday allows uninterrupted work weeks’;

Continuousadjective

of a function or curve; extending without break or irregularity