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一次従属 (いちじじゅうぞく) Japanese meaning | Kotomora

一いち次じ従じゅう属ぞく

い

ち

じ

じゅ

う

ぞ

く

Meanings

1

na-adjective

linearly dependent

mathematics

Mathematical term used in linear algebra to describe a set of vectors where at least one can be expressed as a linear combination of the others.

これらのベクトルは一いち次じ従じゅう属ぞくである。
These vectors are linearly dependent.
一いち次じ従じゅう属ぞくなベクトル

の

組くみ

は

、

行ぎょう

列れつ

式しき

が

ゼロ

に

なる

。

A set of linearly dependent vectors results in a determinant of zero.

Written forms

一いち次じ従じゅう属ぞく
Standard kanji spelling for the mathematical term.
１いち次じ従じゅう属ぞく
Variant using numeral １; seen in some technical contexts.

Kanji

一one, one radical (no.1)
次next, order, sequence
従accompany, obey, submit to
属belong, genus, subordinate official

Similar words

一いち次じ独どく立りつ
Antonym meaning 'linearly independent'; used when no vector in the set can be written as a linear combination of the others.
線せん形けい従じゅう属ぞく
Synonym also meaning 'linearly dependent'; 一次従属 is more common in introductory contexts.

Etymology

Compound of 一次 (いちじ, 'first-order' or 'linear') and 従属 (じゅうぞく, 'dependence'). The term is a direct calque from English 'linearly dependent'.