Definition

1. Adjective:
   • Not continuous; having breaks or interruptions: Describes something that does not proceed or extend without stopping in time or space. It is characterized by intervals, gaps, or pauses.
   • Mathematics: Of a function or curve; having one or more points at which it is not defined or where its value changes abruptly, indicating a lack of smooth connection.

Usage and Examples

• General Use:
  • The rain was discontinuous throughout the day, with long sunny periods in between showers.
  • The patient reported discontinuous sleep, waking up multiple times each night.
• Mathematics/Science:
  • A discontinuous function has at least one point where a sudden jump or break occurs in its graph.
  • The data showed a discontinuous pattern, making the trend difficult to analyze.

Advanced Usage and Nuances

• "Discontinuous with": Not connected or consistent with something else.
  • His latest actions are discontinuous with his previously stated principles.
• "Discontinuous innovation": A major technological change that renders previous products or methods obsolete.
  • The smartphone was a discontinuous innovation that revolutionized the mobile phone industry.

Variants and Related Words

• Discontinuity (n): A distinct break or gap in a sequence or process.
  • There is a noticeable discontinuity between the rock layers, indicating an ancient geological event.
• Discontinuously (adv): In a discontinuous manner.
  • The signal was transmitted discontinuously, causing intermittent reception.

Synonyms

• Intermittent: Occurring at irregular intervals; not continuous or steady.
• Sporadic: Occurring at irregular intervals or only in a few places; scattered or isolated.
• Fragmented: Broken into small or disconnected parts.

Antonyms

• Continuous: Forming an unbroken whole; without interruption.
• Uninterrupted: Not stopped or blocked.
• Constant: Occurring continuously over a period of time.

Related Phrases and Concepts

• Discontinuous variation (Biology): Variation in phenotypic traits where phenotypes fall into distinct, separate categories with no intermediates (e.g., blood groups).
• Discontinuous permafrost: A zone where permafrost is not continuous but occurs in scattered, isolated patches.

Adjective

1. not continuing without interruption in time or space
   • discontinuous applause
   • the landscape was a discontinuous mosaic of fields and forest areas
   • he received a somewhat haphazard and discontinuous schooling
2. of a function or curve; possessing one or more discontinuities