Template:Box

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Callout templates

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Template	Snippet	Colour	Heading
Key result	key	Fuchsia	Key result: title (optional)
Proof	pf	Green	Proof: title (optional)
Derivation	deriv	Navy	Derivation: title (optional)
Example	ex	Golden yellow	Example: title (optional)
Aside	aside	Orange	Aside: title (optional)
Warning	warn	Red	Warning: title (optional)
Definition	defn	Blue	Definition: term
Theorem	thm	Violet	Theorem: name
Exercise	exercise	Lime green	Exercise (fixed heading)
Notice	notice	Rose pink	No heading
Box	box	Cyan	No heading

Key resultFourier orthogonality

The central result of this section.

ProofDerivation

Apply orthogonality and integrate term by term.

DerivationFourier coefficients

Multiply by a basis function and integrate over one period.

ExampleSquare wave

A worked calculation.

AsideGeometric interpretation

An optional observation.

WarningConvergence

Check the assumptions before applying this result.

A general-purpose box.

Definition: Period

The interval over which a function repeats.

Theorem: Parseval

The energy is preserved.

Exercise

Find the Fourier coefficients.

Additional information.