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線形変換 (senkeihenkan) Japanese meaning | Kotomora

線せん形けい変へん換かん

せ

ん

け

い

へ

ん

か

ん

Meanings

1

linear transformation

Mathematical term for a mapping between vector spaces that preserves vector addition and scalar multiplication. Synonymous with 一次変換 (いちじへんかん).

See also: 一次変換

線せん形けい変へん換かんは行ぎょう列れつ

で

表ひょう

現げん

できる

。

A linear transformation can be represented by a matrix.

この写しゃ像ぞうが線せん形けい変へん換かんであることを示しめせ。

Show that this mapping is a linear transformation.

Kanji

線line, track
形shape, form, style
変unusual, change, strange
換interchange, period, change
型mould, type, model

Related words

一いち次じ変へん換かん
Synonym; 一次変換 is also common, but 線形変換 is more explicit about linearity.
線せん形けい写しゃ像ぞう
Often used interchangeably; 線形写像 emphasizes the mapping aspect, while 線形変換 often implies a transformation within the same space.

Built from

線せん形けい+変へん換かん

Written forms

線せん形けい変へん換かん
Standard modern spelling; 線形 is the common form for 'linear' in mathematics.
線せん型けい変へん換かん
Alternate spelling using 型; seen in older or more formal mathematical texts.

Etymology

Compound of 線形 (せんけい, 'linear') and 変換 (へんかん, 'transformation'). The term is a direct calque from English 'linear transformation'.