線せん形けい変へん換かん

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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).

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.

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.

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'.

変へん換かん