If someone says something about a fourth-order approximation, does that mean ?

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If someone says something about a "fourth-order approximation," does that mean...?

...that, say, if something is being approximated by a Taylor series expansion in which only the first few terms are retained, and the expansion is in a small parameter [itex]\kappa[/itex], we only keep the terms up to order [itex]\kappa^4[/itex]?
 
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