Nonlinear: meaning, definitions and examples
๐
nonlinear
[ nษnหlษชnษr ]
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.
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
Etymology
The term 'nonlinear' is derived from the prefix 'non-' meaning 'not' and 'linear', which comes from the Latin word 'linearis' meaning 'belonging to a line'. The concept of linearity has been fundamental in mathematics and science since antiquity, as it simplifies the analysis of relationships between variables. However, as various fields evolved, particularly in the 20th century with advancements in chaos theory, nonlinear systems began to gain prominence. The increased complexity of natural systems, such as weather patterns and biological processes, necessitated a shift towards understanding nonlinear dynamics. Today, 'nonlinear' is commonly used across various disciplines, including physics, engineering, and economics, to describe situations where there is a deviation from a straightforward linear correspondence.