Nonlinear: meaning, definitions and examples
๐
nonlinear
[nษnหlษชnษr ]
Definition
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:
๐ต๐น nรฃo linear
๐ฎ๐ณ เคเฅเคฐ เคฐเฅเคเคฟเค
๐ฉ๐ช nichtlinear
๐ฎ๐ฉ non-linier
๐บ๐ฆ ะฝะตะปัะฝัะนะฝะธะน
๐ต๐ฑ nieliniowy
๐ฏ๐ต ้็ทๅฝข
๐ซ๐ท non linรฉaire
๐ช๐ธ no lineal
๐น๐ท doฤrusal olmayan
๐ฐ๐ท ๋น์ ํ
๐ธ๐ฆ ุบูุฑ ุฎุทู
๐จ๐ฟ nenรญ lineรกrnรญ
๐ธ๐ฐ nelineรกrny
๐จ๐ณ ้็บฟๆง
๐ธ๐ฎ nelinearen
๐ฎ๐ธ รณlinulega
๐ฐ๐ฟ ััะทัาัั ะตะผะตั
๐ฌ๐ช แแ แแแแแแแ แ
๐ฆ๐ฟ xษtti olmayan
๐ฒ๐ฝ no lineal