Continuous vs Contained - What's the difference?
continuous | contained |
Without break, cessation, or interruption; without intervening time.
* 1847 , , Ticknor and Fields (1854), page 90:
Without intervening space; continued; protracted; extended.
(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.
(grammar) Expressing an ongoing action or state.
Restricted in space.
(contain)
As adjectives the difference between continuous and contained
is that continuous is without break, cessation, or interruption; without intervening time while contained is restricted in space.As a verb contained is
(contain).continuous
English
Adjective
(-)- a continuous current of electricity
- he can hear its continuous murmur
- a continuous line of railroad
- Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.
Usage notes
*Synonyms
* (without break, cessation, or interruption in time''): constant, continual (''but see usage notes above ), incessant, never-ending, ongoing, unbroken, unceasing, unending, uninterrupted * (without break, cessation, or interruption in space ): connected, unbroken * See alsoAntonyms
* (without break, cessation, or interruption in time ): broken, discontinuous, discrete, intermittent, interrupted * (without break, cessation, or interruption in space ): broken, disconnected, disjoint, unbroken * (in mathematical analysis ): discontinuous, stepwiseDerived terms
* continuous brake * continuous impost * continuously * continuousness (in mathematics) * continuous distribution * continuous function * continuous group * continuous line illusion * continuous map * continuous mapping theorem * continuous space * continuous vector bundle * continuously differentiable function * uniformly continuousSee also
* constant * contiguousReferences
contained
English
Adjective
(en adjective)- The brush fire is now contained , if it doesn't jump the lines it will burn itself out.
Verb
(head)- This box contained rat poison, now it contains a dead rat.
