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Contiguous vs. Continuous — What's the Difference?

Difference Between Contiguous and Continuous

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Definitions

Contiguous

Sharing an edge or boundary; touching.

Continuous

Uninterrupted in time, sequence, substance, or extent.

Contiguous

Neighboring; adjacent.

Continuous

Attached together in repeated units
A continuous form fed into a printer.

Contiguous

Connecting without a break
The 48 contiguous states.
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Continuous

Of or relating to a line or curve that extends without a break or irregularity.

Contiguous

Connected in time; uninterrupted
Served two contiguous terms in office.

Continuous

Of or relating to a function between two topological spaces such that the preimage of any open set in the range is an open set in the domain.

Contiguous

Connected; touching; abutting.

Continuous

Without stopping; without a break, cessation, or interruption.
A continuous current of electricity
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Contiguous

Adjacent; neighboring.

Continuous

Without intervening space; continued.
A continuous line of railroad

Contiguous

Connecting without a break.
The forty-eight contiguous states

Continuous

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

Contiguous

In actual contact; touching; also, adjacent; near; neighboring; adjoining.
The two halves of the paper did not appear fully divided . . . but seemed contiguous at one of their angles.
Sees no contiguous palace rear its head.

Continuous

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.

Contiguous

Very close or connected in space or time;
Contiguous events
Immediate contact
The immediate vicinity
The immediate past

Continuous

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.

Contiguous

Connecting without a break; within a common boundary;
The 48 conterminous states
The contiguous 48 states

Continuous

(grammar) Expressing an ongoing action or state.

Contiguous

Having a common boundary or edge; touching;
Abutting lots
Adjoining rooms
Rhode Island has two bordering states; Massachusetts and Conncecticut
The side of Germany conterminous with France
Utah and the contiguous state of Idaho
Neighboring cities

Continuous

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.

Continuous

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

Continuous

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

Continuous

Of a function or curve; extending without break or irregularity

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