Nonlinear: meaning, definitions and examples

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nonlinear

 

[nษ’nหˆlษชnษ™r ]

Definition

Context #1 | Adjective

mathematics, science

Nonlinear refers to something that does not follow a straight line or proportional relationship. In mathematics, nonlinear equations are those that cannot be expressed as a linear combination of their variables. This term is often used to describe complex systems where outputs are not directly proportional to inputs. Nonlinear relationships can produce varied and unpredictable outcomes, making them essential for modeling real-world phenomena such as climate change and economic systems.

Synonyms

curvilinear, irregular, nonproportional.

Examples of usage

  • The model produced nonlinear results due to the interaction of multiple variables.
  • In physics, many systems behave in a nonlinear manner under certain conditions.
  • Nonlinear dynamics can lead to chaotic behavior in a system.

Interesting Facts

Etymology

  • The prefix 'non-' comes from Latin, meaning 'not,' indicating the opposite of linear.
  • The word 'linear' originates from 'line,' implying a structure that follows a single path.
  • The first recorded use of 'nonlinear' in print dates back to the early 20th century.

Mathematics

  • In mathematics, nonlinear equations have variables that are raised to a power other than one, making them more complex than linear equations.
  • Graphing nonlinear functions can result in curves, whereas linear functions produce straight lines.
  • Nonlinear systems can demonstrate chaotic behavior, where small changes in initial conditions lead to vastly different outcomes.

Science

  • In physics, phenomena such as fluid dynamics often exhibit nonlinear behavior, making them difficult to predict.
  • Nonlinear optics studies how light behaves in materials where the refractive index changes with light intensity, leading to interesting effects like laser beams changing shape.
  • Nonlinear dynamics applies to systems that can change drastically over time, such as weather patterns.

Literature

  • Nonlinear narratives in literature break traditional storytelling, jumping between different times and perspectives, similar to films like 'Pulp Fiction.'
  • Authors such as Mark Z. Danielewski in 'House of Leaves' use nonlinear techniques to create an immersive reading experience.
  • The concept of nonlinear storytelling reflects real human experience, which is rarely straightforward.

Translations

Translations of the word "nonlinear" in other languages:

๐Ÿ‡ต๐Ÿ‡น nรฃo linear

๐Ÿ‡ฎ๐Ÿ‡ณ เค—เฅˆเคฐ เคฐเฅˆเค–เคฟเค•

๐Ÿ‡ฉ๐Ÿ‡ช nichtlinear

๐Ÿ‡ฎ๐Ÿ‡ฉ non-linier

๐Ÿ‡บ๐Ÿ‡ฆ ะฝะตะปั–ะฝั–ะนะฝะธะน

๐Ÿ‡ต๐Ÿ‡ฑ nieliniowy

๐Ÿ‡ฏ๐Ÿ‡ต ้ž็ทšๅฝข

๐Ÿ‡ซ๐Ÿ‡ท non linรฉaire

๐Ÿ‡ช๐Ÿ‡ธ no lineal

๐Ÿ‡น๐Ÿ‡ท doฤŸrusal olmayan

๐Ÿ‡ฐ๐Ÿ‡ท ๋น„์„ ํ˜•

๐Ÿ‡ธ๐Ÿ‡ฆ ุบูŠุฑ ุฎุทูŠ

๐Ÿ‡จ๐Ÿ‡ฟ nenรญ lineรกrnรญ

๐Ÿ‡ธ๐Ÿ‡ฐ nelineรกrny

๐Ÿ‡จ๐Ÿ‡ณ ้ž็บฟๆ€ง

๐Ÿ‡ธ๐Ÿ‡ฎ nelinearen

๐Ÿ‡ฎ๐Ÿ‡ธ รณlinulega

๐Ÿ‡ฐ๐Ÿ‡ฟ ัั‹ะทั‹า›ั‚ั‹ ะตะผะตั

๐Ÿ‡ฌ๐Ÿ‡ช แƒแƒ แƒแƒ–แƒแƒ›แƒ˜แƒ”แƒ แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ xษ™tti olmayan

๐Ÿ‡ฒ๐Ÿ‡ฝ no lineal

Word Frequency Rank

At #6,481 in frequency, this word belongs to advanced vocabulary. It's less common than core vocabulary but important for sophisticated expression.