johdetaan

Johdetaan is the Finnish present passive form of the verb johtaa, meaning to lead or to derive. In linguistic terms, it functions as a passive construction that marks that something is derived from or led by an implied source, often an earlier statement, rule, or data set. In practice, johdetaan is most common in written Finnish to indicate derivation rather than an agent performing the action.

In academic and technical writing, johdetaan is used to signal mathematical or logical derivations, theoretical conclusions, and transformations of quantities or relationships. The expression provides a neutral way to present a result without naming an explicit author or controller of the derivation. It is frequently found in explanations of proofs, formulae, or stepwise procedures, where the emphasis is on how a result follows rather than who produced it.

Usage notes:

- The form is versatile across disciplines such as mathematics, physics, economics, and statistics.

- It is typically followed by the source from which the derivation proceeds, for example, johdetaan seuraavasti (is derived as follows) or johdetaan yhtälöstä X (derived from equation X).

- The phrase can stand at the beginning of a sentence to introduce a derived result, or be embedded within a longer sentence describing a series of steps.

Etymology and related forms:

- johdetaan derives from johtaa, with the passive suffix -taan/-än and the present tense, indicating an impersonal derivation.

- Related forms include johtaa (active), johdettu (derived, past participle), and johtaminen (derivation or leadership process).

See also: Finnish grammar, passive voice, derivation in mathematics, formal writing in Finnish.