Faktoriaalista

Faktoriaalista is a Finnish grammatical form derived from the noun faktoriaali, which names the mathematical operation known in English as the factorial. Faktoriaali denotes the product of all positive integers up to a given n (with 0! defined as 1). Faktoriaalista is the elative singular form, used to indicate source, topic, or relation—roughly “from factorial” or “concerning factorial”—in phrases such as faktoriaalista laskentaa koskeva tutkimus, meaning “a study concerning factorial calculation.”

In mathematical writing, factorials are fundamental in combinatorics, permutations, binomial coefficients, and power series expansions. They appear in expressions like n! and in expansions such as the Taylor or Maclaurin series, where factorials are used to denote coefficients.

As a grammatical form, faktoriaalista is one of the many inflected forms of faktoriaali factored by Finnish case endings; it does not introduce a new mathematical concept by itself. It is used when the sentence structure requires indicating that something pertains to or arises from factorials. In most straightforward mathematical explanations, the base noun faktoriaali is used without the elative form, unless a relational phrase is needed.