# Dictionary:Superposition

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{{#category_index:S|superposition}}

**1**. The situation where the same end result is obtained by an operation on a whole input as is obtained from the sum of the results of operations on the components of the input.
If , , and are operations to be performed on *a*(*t*) and *b*(*t*), then superposition dictates that

Superposition allows a problem to be broken into a number of component problems which may be easier to solve than the entire problem, in order to solve the larger problem. Superposition is a necessary and sufficient condition for linearity; see *linear system*.

**2**. *Convolution* (q.v.) involves superposition.