Adjective

(en adjective)

Manifesting, exercising, or favoring rigour; allowing no abatement or mitigation; scrupulously accurate; exact; strict; severe; relentless; as, a rigorous officer of justice; a rigorous execution of law; a rigorous definition or demonstration.

*{{quote-magazine, date=2013-08-03, volume=408, issue=8847, magazine=(The Economist)

, title= Boundary problems , passage=Economics is a messy discipline: too fluid to be a science, too rigorous to be an art. Perhaps it is fitting that economists’ most-used metric, gross domestic product (GDP), is a tangle too. GDP measures the total value of output in an economic territory. Its apparent simplicity explains why it is scrutinised down to tenths of a percentage point every month.}}

Severe; intense; inclement; as, a rigorous winter.

Violent.

Adjective

(-)

Without break, cessation, or interruption; without intervening time.

a continuous current of electricity

* 1847 , , Ticknor and Fields (1854), page 90:

he can hear its continuous murmur

Without intervening space; continued; protracted; extended.

a continuous line of railroad

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

(analysis, of a function) 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 .

(mathematics, more generally, of a function) Such that each open set in the range has an open preimage.

Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.

(grammar) Expressing an ongoing action or state.