Definition:Family of Curves/One-Parameter/Parameter
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Definition
Let $\map f {x, y, c}$ define a one-parameter family of curves $F$.
The value $c$ is the parameter of $F$.
Also see
- Results about one-parameter families of curves can be found here.
Sources
- 1956: E.L. Ince: Integration of Ordinary Differential Equations (7th ed.) ... (previous) ... (next): Chapter $\text {I}$: Equations of the First Order and Degree: $1$. Definitions: $(1.1)$
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 2$: General Remarks on Solutions