What is the difference between continuum and continuous?
continuum | continuous |
A continuous series or whole, no part of which is noticeably different from its adjacent parts, although the ends or extremes of it are very different from each other.
A continuous extent.
* {{quote-magazine, date=2012-03
, author=(Henry Petroski)
, title=Opening Doors
, volume=100, issue=2, page=112-3
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(mathematics) The set of all real numbers and, more generally, a compact connected metric space.
(musical instruments) A touch-sensitive strip, similar to an electronic standard musical keyboard, except that the note steps are of a semitone, and so are not separately marked.
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.
Continuous is a related term of continuum.
As a noun continuum
is a continuous series or whole, no part of which is noticeably different from its adjacent parts, although the ends or extremes of it are very different from each other.As an adjective continuous is
without break, cessation, or interruption; without intervening time.continuum
English
(wikipedia continuum)Noun
(en-noun)citation, passage=A doorknob of whatever roundish shape is effectively a continuum of levers, with the axis of the latching mechanism—known as the spindle—being the fulcrum about which the turning takes place.}}
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.