Differoinnilla

Differoinnilla is a Finnish term used primarily in mathematics, statistics, and data analysis to mean "by differentiation" or "through differentiation." The form is built from differointi, the noun for differentiation, combined with the instrumental suffix -lla, which conveys the means or method by which something is done.

In Finnish technical writing, differoinnilla is used to indicate that a result, procedure, or measurement is obtained through differentiation. It appears in contexts such as calculating derivatives, constructing sensitivities, or analyzing rate changes in models. Common phrases include differoinnilla lasketut arvot ("values computed by differentiation") or differoinnilla saatavat tulokset ("results obtained by differentiation").

Examples from Finnish sources illustrate its function: "Funktion f(x) käyrä määritellään differoinnilla saatujen derivaattojen perusteella" (the curve of f is defined on the basis of derivatives obtained by differentiation). In bilingual discussions, English translations typically render differoinnilla as "by differentiation" or "through differentiation." The term serves to link a methodological action directly to the mathematical process of differentiation.

Notes: differoinnilla is primarily encountered in Finnish-language texts. In non-Finnish contexts, the term is usually explained or translated, since the instrumentality is a language device rather than a concept with a separate, universal English label. As such, it functions more as a linguistic marker than as an independent scientific concept.