on the diagonal, off the diagonal

Japanese translation: 対角要素/非対角要素

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
English term or phrase:on the diagonal, off the diagonal
Japanese translation:対角要素/非対角要素
Entered by: Hidenori Nakamura

04:46 Sep 11, 2002
English to Japanese translations [PRO]
Science - Mathematics & Statistics / Math
English term or phrase: on the diagonal, off the diagonal
A more algebraic statement of this condition is that M M t I , where I is the matrix
with all 1 s on the diagonal and all 0 s off the diagonal,・・・

(正方)行列の対角要素(?)のことのようなのですが、【on the diagonal】, 【off the diagonal】は、どのように訳せば良いのでしょうか?

よろしくお願い致します。
Thank you in advance.
Hidenori Nakamura
Local time: 16:19
対角要素/非対角要素
Explanation:
通常は、
対角要素:diagonal elements
非対角要素:off diagonal elements
とするかと思いますが、単位行列は、対角要素が1で、非対角要素が0の行列と説明しているのでこのように訳してみました。
Selected response from:

tom_goto
Local time: 16:19
Grading comment
ありがとうございました。お二人のご回答、それぞれ非常に役立ちました。
4 KudoZ points were awarded for this answer



Summary of answers provided
4対角要素、非対角要素
Satoshi Yamada (X)
2 +1対角要素/非対角要素
tom_goto


  

Answers


19 mins   confidence: Answerer confidence 2/5Answerer confidence 2/5 peer agreement (net): +1
対角要素/非対角要素


Explanation:
通常は、
対角要素:diagonal elements
非対角要素:off diagonal elements
とするかと思いますが、単位行列は、対角要素が1で、非対角要素が0の行列と説明しているのでこのように訳してみました。

tom_goto
Local time: 16:19
Specializes in field
Native speaker of: Native in JapaneseJapanese
PRO pts in category: 8
Grading comment
ありがとうございました。お二人のご回答、それぞれ非常に役立ちました。

Peer comments on this answer (and responses from the answerer)
agree  Soonthon LUPKITARO(Ph.D.)
3 days 5 hrs
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33 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5
対角要素、非対角要素


Explanation:
where I is the matrix
with all 1 s on the diagonal and all 0 s off the diagonal,・・・

ここでIは、対角要素のすべてが1、非対角要素のすべてが0の行列です。

ちなみにIは、このような行列(単位行列:Unit Matrixと呼びます)を表¥すのに慣例的に使われます。



    Reference: http://www.morello.co.uk/matrixalgebra.htm#_Toc533271348
Satoshi Yamada (X)
Local time: 16:19
Works in field
Native speaker of: Native in JapaneseJapanese
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