# Principle of Superposition

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## Theorem

A particular theorem is missing.In particular: Formal definition of this needed, in various contexts, including real functions, complex functions, general linear transformations, and so on. Its expositions both in the Coulson work cited and Wikipedia are too vague, and I am having difficulty in deciding how to approach it.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding the theorem.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{TheoremWanted}}` from the code. |

This page needs the help of a knowledgeable authority.In particular: Yes I know I ought to have a better handle on my subject than thisIf you are knowledgeable in this area, then you can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by resolving the issues.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{Help}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

## Proof

This theorem requires a proof.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{ProofWanted}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

## Examples

### Electric Field

The **Principle of Superposition** applies to an **electric field**:

The total **electric field** caused by an assemblage of point charges is equal to the sum of the **electric fields** caused by each of the point charges individually.

### Wave Equation

The **Principle of Superposition** applies to the **wave equation**.