A <em>metafunction</em> is a class or a class template that represents a function invocable at compile-time. A non-nullary metafunction is invoked by instantiating the class template with particular template parameters
(metafunction arguments); the result of the metafunction application is accessible through the instantiation's nested <code>type</code> typedef. All metafunction's arguments must be types (i.e. only <em>type template parameters</em> are allowed). A metafunction can have a variable number of parameters. A nullary metafunction is represented as a class with a nested
<tr><td><code>typename f::type</code></td><td>unspecified</td><td><code>f</code> is a nullary metafunction; <code>f::type</code> is a <em>type-name</em></td><td><code>f::type</code> is the result of the metafunction invocation</td><td></td></tr>
<tr><td><code>typename f<a1,..,an>::type</code></td><td>unspecified</td><td><code>f</code> is an <code>n</code>-ary metafunction; <code>a1,..,an</code> are types; <code>f<a1,..,an>::type</code> is a <em>type-name</em></td><td><code>f<a1,..,an>::type</code> is the result of the metafunction invocation with the actual arguments <code>a1,..,an</code></td><td></td></tr>