Halmazára

Halmazára is a Hungarian grammatical form, not a separate mathematical concept. It is the allative (destination) case form of the noun halmaz, meaning “set,” formed by adding the suffix -ára to the root halmaz. The resulting expression functions to indicate direction toward or relation to the set in question. In mathematical and logical Hungarian, halmazára appears in phrases that describe something pertaining to or applicable to a set.

Usage and meaning

Halmazára is used when the action or statement concerns the set as the target or domain. The exact nuance depends on the accompanying verb or preposition. Common constructions include halmazára vonatkozó, meaning “pertaining to the set” or “concerning the set,” and a halmazára vonatkozik, meaning “applies to the set.”

Examples

- A halmazára vonatkozó definíció pontosabb. (The definition pertaining to the set is more precise.)

- Ez a megállapítás a halmazára vonatkozik. (This statement applies to the set.)

- Vegyük a halmazára vonatkozó jellemzőt. (Consider the characteristic pertaining to the set.)

Notes

- Halmazára is a specific Hungarian grammatical form rather than an independent mathematical term.

- It reflects how Hungarian marks the target or domain of discourse through the allative suffix -ára; other nouns form similar expressions with different stems.

See also

- Hungarian grammar: case endings, especially -ra/-re

- Halmaz (set) in mathematics

- Vonatkozik (to relate to; to pertain to)

Halmazára thus functions as a useful linguistic tool in Hungarian mathematical and logical writing to denote topics, properties, or statements that concern a particular set.