normájával

Normájával is a Hungarian instrumental phrase built from the noun norma (norm, standard) with the possessive suffix -ja/-je meaning “its,” followed by the instrumental suffix -val/-vel. The result norma → normája (its norm) and then normájával (with its norm). The form reflects vowel harmony and a linking consonant, typical of Hungarian morphology. It is used to indicate means, method, or instrument by which something is done, or, in formal contexts, to refer to using a particular standard or criterion.

In addition to its everyday sense of “its standard,” normájával has a specific mathematical usage. There, norma denotes a norm in the sense of a length or size measure on a vector space. Sentences can use normájával to indicate calculation or comparison that relies on that norm. For example, A távolság meghatározása a vektor normájával történik ("The distance is determined by the norm of the vector"). In this sense, the phrase labels the instrumental means by which a quantity is obtained or evaluated.

Usage notes: normájával tends to appear in technical, mathematical, or formal prose. In more colloquial Hungarian, one might prefer expressions like a norma szerint or a norma használatával, depending on context. The construction highlights the instrumentality of the norm rather than merely stating the norm itself.

See also: norma, -val/-vel, possessive suffixes in Hungarian, instrumental case, mathematical norms.