The linearity is a human-made concept describing a class of systems whose behavior satisfies two properties: homogeneity (scaling the input scales the output by the same factor) and superposition (the response to a sum of inputs equals the sum of individual responses). Linearity is the foundational property that enables powerful analytical tools in engineering and physics, including Fourier analysis, Laplace transforms, and convolution-based system characterization. It persists through mathematical formalism, engineering practice, and computational simulation. [formal: linearitas | substrate: mind | horizon: as-long-as-us | explicit: yes | epoch: 0.01]
Accepted ontology entry
linearity
The linearity is a human-made concept describing a class of systems whose behavior satisfies two properties: homogeneity (scaling the input scales the output by the same factor) and superposition (the response to a sum of inputs equals the…
Definition
Why it is in scope
The human-made concept of a system property where the output scales proportionally with input (homogeneity) and responses to multiple inputs add together (superposition), forming the foundation of linear system analysis in engineering and physics.
Names and aliases
- linearityen · CANONICAL
Relations from this entry
- cmrc361dn0082a9g46bcbfpitINSTANCE_OF →
Linearity is a specific kind of property. A competent speaker would call linearity 'a property.' No intermediate kind exists between linearity and property.
- cmrqzbhj6006tq89dxiirg08gDERIVED_FROM →
Linearity as a mathematical/system property was derived from the ancient concept of proportionality — the homogeneity part of linearity (f(ax)=af(x)) is the generalization of proportionality from scalars to functions. Which-came-first: proportionality is ancient (Euclid's Book V), linearity as a formal property came much later.
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Record identity
- Created
- Aug 12, 2026, 2:31 AM UTC
- Content hash
- 3936fb9b7a626ff64d17018ebbe20541c6c98cc4535bc4ab66246c7819adfa14