LINEARISATION Meaning and
Definition
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Linearisation is a process of transforming a nonlinear system or function into a linear form or representation. It involves approximating the behavior of the non-linear system or function around a certain operating point by a linear relationship between its inputs and outputs. This concept is widely used in various fields including mathematics, physics, engineering, and economics.
In mathematics, linearisation is a technique used to approximate the behavior of a non-linear function by its tangent line at a specific point. This allows for easier analysis and calculation of the function's properties. In physics, linearisation is employed to simplify the study of complex systems that can be better understood when expressed in a linear form. This simplification facilitates the modeling, analysis, and prediction of the behavior of the system.
In engineering, linearisation is commonly applied to nonlinear systems such as control systems, electrical circuits, or mechanical systems. By linearising these systems, engineers can design efficient and stable control algorithms, analyze their response to different inputs, and predict their behavior in different operating conditions.
In economics, linearisation techniques are utilized to estimate the behavior of economic variables such as demand, supply, or production functions. By approximating these nonlinear relationships using linear models, economists can make predictions, perform regression analysis, and evaluate the overall performance of the economy.
Overall, linearisation is a valuable tool in simplifying the analysis and prediction of complex nonlinear systems and functions, making them more accessible and manageable for further study and application.
Common Misspellings for LINEARISATION
- kinearisation
- pinearisation
- oinearisation
- lunearisation
- ljnearisation
- lknearisation
- lonearisation
- l9nearisation
- l8nearisation
- libearisation
- limearisation
- lijearisation
- lihearisation
- linwarisation
- linsarisation
- lindarisation
- linrarisation
- lin4arisation
- lin3arisation
- linezrisation
Etymology of LINEARISATION
The word "linearisation" is derived from the term "linearize". The term "linearize" combines the root word "linear", which comes from the Latin word "linearis" meaning "belonging to a line", and the suffix "-ize", which is derived from the Greek "-izein" meaning "to make" or "to become". "Linearize" refers to the process of making or becoming linear. Thus, "linearisation" refers to the act or process of making something linear.
