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That's also the reason there are, or used to be, special fonts for Polish an Czech and other languages: they contain predefined characters in one single numerical position, e.g. <code>\v{s}</code> and <code>\v{c}</code> that TeX does not have to create anew from two signs.
===In ConTeXt=== the combination <code>\"{a} </code> means one thing: <code>\adiaeresis </code> (see <b>enco-acc</b>). This <code>\adiaeresis </code> can mean one of two things, depending on the encoding:
* Numerical position, or
* The fallback case (defined in <b>enco-def</b>), where a diaeresis/umlaut is placed atop an '<context>a' </context> glyph. Hyphenation implications as Hans described.
The interesting/helpful thing about ConTeXt is that internally, that glyph is given a consistent name, no matter how it is input or output. So, if you type <code>ä</code> in your given input regime, and that encoding is properly set, that numerical <code>ä</code> (e.g., character <code>#228</code> in the windows regime) is mapped to <code>\adiaeresis</code>.

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