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.


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Superposition
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