# Dictionary Definition

continuous adj

1 continuing in time or space without
interruption; "a continuous rearrangement of electrons in the solar
atoms results in the emission of light"- James Jeans; "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" [syn: uninterrupted] [ant:
discontinuous]

2 of a function or curve; extending without break
or irregularity [ant: discontinuous]

# User Contributed Dictionary

## English

### Pronunciation

- , /kənˈtɪnjuəs/, /k@n"tInju@s/

### Adjective

- Without break,
cessation, or interruption; without
intervening time.
- a continuous current of electricity
- He can hear its continuous murmur. - Longfellow.

- Without intervening space; continued; protracted; extended.
- a continuous line of railroad

- Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- Of a map, having the mathematical property that has the following formal \epsilon-\delta-definition: Given I,D\subset\mathbb (I and D are subsets of the real numbers), continuity of f(x):I \to D (f(x) maps the interval I to the interval D) at c\in\mathbb means, for all \varepsilon>0, there exists a \delta>0 such that |x-c| and x\in I implies |f(x)-f(c)|.
- Expressing an ongoing action or state.

#### Usage notes

- Continuous is the stronger word, and denotes that the continuity or union of parts is absolute and uninterrupted; as, a continuous sheet of ice; a continuous flow of water or of argument. So Daniel Webster speaks of "a continuous and unbroken strain of the martial airs of England."
- Continual, in most cases, marks a close and unbroken succession of things, rather than absolute continuity. Thus we speak of continual showers, implying a repetition with occasional interruptions; we speak of a person as liable to continual calls, or as subject to continual applications for aid, etc.

#### Synonyms

#### Antonyms

- (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, stepwise

#### Derived terms

In mathematics

#### Translations

without break, cessation, or interruption in
time

- Chinese, Simplified: 持续的 (chíxù de), 连续的 (liánxù de)
- Chinese, Traditional: 持續的, 連續的
- Dutch: continu, voortdurend, ononderbroken, aanhoudend
- French: continu
- German: kontinuierlich, stetig
- Hebrew: רציף , רציפה
- Hungarian: folytonos, folyamatos
- Italian: continuo
- Portuguese: contínuo
- Russian: непрерывный (njeprjerývnyj)
- Scots: conteenuous

without break, cessation, or interruption in
space

- Chinese, Simplified: 持续的 (chíxù de), 连续的 (liánxù de)
- Chinese, Traditional: 持續的, 連續的
- Dutch: continu, ononderbroken
- French: continu
- German: kontinuierlich, stetig
- Hebrew: רציף , רציפה
- Hungarian: folyamatos
- Italian: continuo
- Portuguese: contínuo
- Russian: непрерывный (njeprjerývnyj)
- Scots: conteenuous

in botany

in mathematical analysis

in grammar

- Hungarian: folyamatos
- Russian: длительный

### See also

# Extensive Definition

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border: solid #aaa 1px; margin: 0 0 1em 1em; font-size: 90%;
background: #f9f9f9; width: 250px; padding: 4px; spacing: 0px;
text-align: left; float: right;"> Look up continuity
in Wiktionary, the
free dictionary.

Continuity may mean:

In mathematics:

- Parametric continuity
- Geometric continuity
- Continuous function with real or complex values
- Continuous probability distribution or random variable in probability and statistics
- Continuity theorem

- Continuous function between topological spaces.
- continuous function in set theory between ordinals.
- A continuous functor is one that preserves limits in category theory.
- Continuity equation.

'''Other:

- Continuity of Operations
- Continuity in fiction
- Continuity in Broadcasting
- An unbroken electrical path in an electrical circuit or connector

## See also

continuous in French: Continu

continuous in Lithuanian: Tolydumas

continuous in Dutch: Continuïteit

continuous in Portuguese:
Continuidade

# Synonyms, Antonyms and Related Words

abiding, accordant, ageless, alike, articulated, automatic, balanced, catenated, ceaseless, chronological, coeternal, concatenated, connected, consecutive, consistent, consonant, constant, continual, continued, continuing, correspondent, cyclical, dateless, direct, durational, durative, endless, equable, equal, eternal, eterne, even, ever-being, ever-durable,
ever-during, ever-recurring, everlasting, everliving, featureless, flat, frequent, gapless, haunting, homogeneous, immediate, immemorial, immutable, incessant, indefatigable, indestructible, infinite, interminable, invariable, joined, jointless, lasting, level, linked, measured, mechanical, methodic, monolithic, monotonous, never-ceasing,
never-ending, nonstop,
nonterminating,
nonterminous, of a
piece, olamic, ordered, orderly, perdurable, perennial, periodic, permanent, perpetual, persistent, reappearing, recurrent, recurring, regular, remaining, repetitive, returning, revenant, robotlike, round-the-clock,
running, seamless, sempiternal, sequent, sequential, serial, serried, smooth, stable, staying, steadfast, steady, sticking, straight, sustained, systematic, temporal, thematic, thick-coming,
tight, timeless, twenty-four-hour,
ubiquitous, unbroken, unceasing, unchangeable, unchanged, unchanging, undeviating, undifferentiated,
undiversified,
undying, unending, uniform, unintermitted, unintermittent, unintermitting, uninterrupted, unrelieved, unremitting, unruffled, unstopped, unvaried, unvarying, without
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