halmazhoz

Halmazhoz is a Hungarian grammatical form used to express the relation “to the set” in everyday language and mathematical prose. It is the dative or directional suffix form attached to the noun halmaz (set), producing halmazhoz to indicate that something relates to or belongs to that set.

In mathematical contexts, halmazhoz is commonly seen with verbs such as tartozik (belongs to) or kapcsolódik (relates to). For example, Ez a szám a halmazhoz tartozik means “This number belongs to the set.” The construction helps specify membership or association with a particular set without altering the base noun’s meaning.

Halmazhoz is part of the broader Hungarian -hoz/-hez/-höz suffix system, which marks direction toward or relation to a noun. The exact form chosen depends on Hungarian vowel harmony rules and the phonological context of the stem; halmazhoz is the standard form after halmaz.

Though frequently encountered in mathematical writing and teaching, halmazhoz itself is not a separate mathematical concept. It is a grammatical tool that clarifies the relation between elements and sets in Hungarian sentences, helping to express membership, belonging, or adjacency to a specified set.

See also: halmaz, tartozik, halmazhoz tartozó elemek.