線せん形けい独どく立りつ

せ

ん

け

い

ど

く

り

つ

Meanings

na-adjective

linearly independent

mathematics

Mathematical term used in linear algebra to describe a set of vectors where no vector can be expressed as a linear combination of the others. Often contrasted with 線形従属 (linearly dependent).

Written forms

線せん形けい独どく立りつ
Standard kanji spelling for the mathematical term.
線せん型けい独どく立りつ
Variant spelling using 型; both are used in mathematical contexts.

Kanji

線line, track
形shape, form, style
独single, alone, spontaneously
立stand up, rise, set up
型mould, type, model

Similar words

一いち次じ独どく立りつ
Synonym for 線形独立; both mean 'linearly independent' in linear algebra. 一次独立 is perhaps slightly more common in some textbooks.
線せん形けい従じゅう属ぞく
Antonym meaning 'linearly dependent'; used when at least one vector in a set can be written as a linear combination of the others.

Etymology

Compound of 線形 (linear) and 独立 (independence). The term is a direct translation of the English mathematical term 'linearly independent'.