Mehrfachexpansionstechnik

Mehrfachexpans... appears to be an incomplete form of a term that is not standard in English. The closest German-language construction is Mehrfachexpansion, literally meaning “multiple expansion,” and it would typically be read as a compound describing an expansion carried out more than once or across several facets. In English-language technical literature, there is no broadly recognized term that exactly corresponds to Mehrfachexpansion, so its precise meaning depends on the context in which it is used.

Because the term is not widely defined, interpretations are descriptive rather than formal. In general, it could refer to expansion processes that occur in stages or dimensions, or to the repeated application of an expansion technique within a single analysis. Related ideas in mathematics and physics include multivariate or multi-parameter expansions, nested or sequential expansions, and repeated perturbative expansions. These related concepts describe expressing a quantity as a series or approximation in multiple variables, along multiple parameters, or through iterative steps.

When encountering Mehrfachexpansion in text, it is important to consult the surrounding discussion or the author’s definitions to determine whether the phrase denotes a sequential, multi-dimensional, or otherwise repeated expansion. Without a field-specific definition, the term remains ambiguous.

See also: Taylor series, Fourier expansion, multivariate expansion, perturbation theory, asymptotic expansion.