(New page: == Definition == A linear system is one that satisfies both superposition and homogeneity. Superposition means that the system passes the following test: <math>f(x+y)=f(x)+f(y)</math>. Hom...) |
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== Definition == | == Definition == | ||
| − | A linear system is one that satisfies both superposition and homogeneity. Superposition means that the system passes the following test: <math>f(x+y)=f(x)+f(y)</math>. | + | A linear system is one that satisfies both superposition and homogeneity, also called scaling. Superposition means that the system passes the following test: <math>f(x+y)=f(x)+f(y)</math>. Scaling means that system passes the following test: <math>f(ax)=af(x)</math>. |
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== Example of a Linear System == | == Example of a Linear System == | ||
Revision as of 10:22, 8 September 2008
Definition
A linear system is one that satisfies both superposition and homogeneity, also called scaling. Superposition means that the system passes the following test: $ f(x+y)=f(x)+f(y) $. Scaling means that system passes the following test: $ f(ax)=af(x) $.
