線せん形けい独どく立りつ

せ

ん

け

い

ど

く

り

つ

Meanings

1

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).

Kanji

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

Related 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.

Built from

線せん形けい+

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.

Etymology

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

独どく立りつ