Continuous vs Abiding - What's the difference?
continuous | abiding | Related terms |
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.
Continuing]] or [[persist, persisting in the same state; lasting; enduring.
Continuous is a related term of abiding.
As adjectives the difference between continuous and abiding
is that continuous is without break, cessation, or interruption; without intervening time while abiding is continuing]] or [[persist|persisting in the same state; lasting; enduring .As a noun abiding is
the action of one abides; the state of an abider .As a verb abiding is
.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
abiding
English
Adjective
(en adjective)- an abiding''' belief'', ''a deep and '''abiding hatred of birds