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单词 discontinuity
释义

discontinuity


dis·con·ti·nu·i·ty

D0259000 (dĭs-kŏn′tə-no͞o′ĭ-tē, -nyo͞o′-)n. pl. dis·con·ti·nu·i·ties 1. Lack of continuity, logical sequence, or cohesion.2. A break or gap.3. Geology A surface at which seismic wave velocities change.4. Mathematics a. A point at which a function is defined but is not continuous.b. A point at which a function is undefined.

discontinuity

(dɪsˌkɒntɪˈnjuːɪtɪ) n, pl -ties1. lack of rational connection or cohesion2. a break or interruption3. (Mathematics) maths a. the property of being discontinuousb. the point or the value of the variable at which a curve or function becomes discontinuous4. (Geological Science) geology a. a zone within the earth where a sudden change in physical properties, such as the velocity of earthquake waves, occurs. Such a zone marks the boundary between the different layers of the earth, as between the core and mantle. See also Mohorovičić discontinuityb. a surface separating rocks that are not continuous with each other

dis•con•ti•nu•i•ty

(ˌdɪs kɒn tnˈu ɪ ti, -ˈyu-)

n., pl. -ties. 1. lack of continuity; irregularity. 2. a break or gap. 3. a point at which a mathematical function is not continuous. [1560–70; < Medieval Latin]

Discontinuity

 

lose the thread To lose one’s train of thought in a discussion; to have the continuity of one’s thoughts or words interrupted. Thread in this phrase is the central thought connecting successive points, a continuous flow which is carried on in spite of digressions or interruptions. This figurative use of thread dates from the mid-17th century.

We laughed so violently … that he could not recover the thread of his harangue. (Frances Burney, Diary and Letters, 1782)

side-track To diverge from the main subject, course, or road; to go off on a tangent; to shelve or otherwise delay consideration of some matter. Literally, to side-track means to shunt a train onto a siding, off the main track, hence its figurative implications.

The business of the minister is to preach the gospel, not … to side-track on great moral issues. (Advance [Chicago, Illinois], June, 1893)

A related expression which also employs railroad terminology is off the track.

table In U.S. parliamentary procedure this verb means to ‘postpone action on’:

The amendment which was always present, which was rejected and tabled and postponed. (The Century XXXVII, 1873)

In British parliamentary procedure, it means to ‘present for discussion’:

If any more “Old Residents” wish to be heard, they must table their names. (Pall Mall Gazette, Jan. 3, 1887)

This is a confusing state of affairs and must be watched carefully by those encountering the term in what may be foreign contexts.

discontinuity

A zone that marks a boundary between different layers of the Earth, such as between the mantle and the core, and where the velocity of seismic waves changes.
Thesaurus
Noun1.discontinuity - lack of connection or continuityseparation - the state of lacking unitycontinuity - uninterrupted connection or union

discontinuity

noun lack of unity, disconnection, incoherence, disunion, lack of coherence, disjointedness, disconnectedness The text suffers from discontinuity.

discontinuity

nounA cessation of continuity or regularity:break, discontinuance, discontinuation, disruption, interruption, pause, suspension.
Translations
ασυνέχειαdiscontinuitédiscontinuitàinterruzione

Discontinuity


discontinuity

[dis‚känt·ən′ü·əd·ē] (electromagnetism) An abrupt change in the shape of a waveguide. Also known as waveguide discontinuity. (geology) An interruption in sedimentation. A surface that separates unrelated groups of rocks. (geophysics) A boundary at which the velocity of seismic waves changes abruptly. (mathematics) A point at which a function is not continuous. (metallurgy) The place where the structural nature of a weldment is interfered with because of the materials involved or where the mechanical, physical, or metallurgical aspects are not homogeneous. (physics) A break in the continuity of a medium or material at which a reflection of wave energy can occur.

Discontinuity

 

(or point of discontinuity), a value of the argument at which the continuity of a function is violated. In the simplest case, continuity is violated at some point a in the sense that the right and left limits

exist, but at least one of them differs from f(a). When this occurs, a is called a jump discontinuity of f, or the discontinuity of the first kind.

If f(a + 0) = f(a – 0), the discontinuity is said to be removable, since f(x) becomes continuous at a if we set f(a) = f(a + 0) = f(a – 0). For example, the point a = 0 is a removable discontinuity of the function

since f is continuous at 0, if we set f(0) = 1. If, however, the jump δ = f(a + 0) – f(a – 0) of the function f(x) at the point is nonzero, then a is a discontinuity for any definition of the value of f(a). An example of such a discontinuity is the point a = 0 for the function f(x)= arc tan 1/x. In this case, the function may not be defined at the point a. The jump discontinuity is called regular if the condition f(a) = ½[f(a – 0) + f(a + 0)] is satisfied. If either of the one-side limits does not exist, then the point a is called the discontinuity point of the second kind. Examples are the point a = 2 for the function f(x) = 1/(x – 2) and the point a = 0 for f(x) = sin 1/x.

discontinuity


discontinuity

  1. the occurrence of a species in two or more geographically separated areas.
  2. a layer separating two discrete areas; for example, a THERMOCLINE.

discontinuity


Related to discontinuity: MohoroviCiC discontinuity, discontinuity theory
  • noun

Synonyms for discontinuity

noun lack of unity

Synonyms

  • lack of unity
  • disconnection
  • incoherence
  • disunion
  • lack of coherence
  • disjointedness
  • disconnectedness

Synonyms for discontinuity

noun a cessation of continuity or regularity

Synonyms

  • break
  • discontinuance
  • discontinuation
  • disruption
  • interruption
  • pause
  • suspension

Antonyms for discontinuity

noun lack of connection or continuity

Related Words

  • separation

Antonyms

  • continuity
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更新时间:2024/12/24 8:59:52