What does nonlinearity mean?
Nonlinearity is the condition of not being linear. In mathematics and the physical sciences, it describes relationships that cannot be represented by a straight line or solved through a simple proportional equation, such as interactions whose effects change according to the state of the system itself. The term is also used more broadly for processes involving feedback, unpredictability, or disproportionate effects. For example, a small change in one part of a nonlinear system may produce a much larger change elsewhere. Because of this, nonlinearity is important in fields such as physics, engineering, economics, biology, and computer science. The word is also useful in ordinary discussion of complex social or organizational behavior, where outcomes are rarely as predictable as a simple linear model suggests.
nounThe quality or state of being nonlinear, especially in mathematics, where a relationship or system is not represented by a straight line or a linear equation. In broader contexts, it refers to complexity, feedback, or an unpredictable relationship between causes and effects.
- The state or quality of not being linear, especially in mathematics and the physical sciences.
- Complexity, interaction, or unpredictability arising when causes and effects do not follow a simple proportional relationship.
"The model accounts for the nonlinearity of the system by including feedback between its components."
"The nonlinearity of the reaction rate becomes significant at high temperatures."
"Social systems are often described as nonlinear because feedback and human decisions can amplify small changes."
Used when referring to multiple nonlinear relationships, behaviors, or effects.
"The study identified several nonlinearities in the system that were not captured by the original model."
From straight lines to chaotic systems, nonlinearity shows why small changes can sometimes produce unexpectedly large consequences.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does nonlinearity come from?
The word combines the prefix non- with linear and the suffix -ity, forming a noun that denotes the condition of not being linear. Linear comes through English from Latin linearis, meaning “of a line” or “pertaining to lines,” ultimately from Latin linea, “line.” Related words include line, linearity, and lineage, which share the same Latin root through different historical developments.
Related word forms
How nonlinearity is actually used
Primarily used in technical and scientific contexts, but it is also understood in business, social science, and general discussion. It can imply complexity or unpredictability without necessarily referring to mathematics.
Easily confused with nonlinearity
Linear describes a relationship, process, or equation whose components follow a straight-line or proportional pattern, whereas nonlinearity is the noun naming the quality of departing from such a pattern.