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線型写像

File:Linear_transformations_in_computer_graphics.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ207643· pop 56· linked from 1,152 articles

線型写像

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Also known as linear mapping, linear transformation, linear function, linear homomorphism, linear mapped

ベクトルの加法とスカラー乗法を保つ特別な写像

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A linear map is a type of mathematical function that preserves two basic operations: when you add inputs together, the output is the same as adding the outputs separately, and when you multiply an input by a number, the output gets multiplied by that same number. Linear maps matter because they're fundamental tools in mathematics and science for describing relationships between quantities that scale and combine in predictable, proportional ways.

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Linear operators
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Article · 日本語

数学の特に線型代数学における線型変換(せんけいへんかん、英: linear transformation、一次変換)あるいは線型写像(せんけいしゃぞう、英: linear mapping)は、ベクトルの加法とスカラー倍を保つ特別の写像である。特に任意の(零写像でない)線型写像は「直線を直線に移す」。

Abstract from DBpedia / Wikipedia · CC BY-SA

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