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暫定翻訳完了しました。
いつもどおり意訳の妥当性を確認していただきたいのですが、特に見ていただきたいのは
Associated functionsを同伴関数と訳すことの妥当性です。この英語で検索してみたところ、従来から数学で用いられている用語で、陪関数、同伴関数、随伴関数、従関数などが主流なようです。
http://www.tuat.ac.jp/~katsuaki/r000522.html
これらから検索してみてどれだけ使われているか確認し、名前が明確でそれなりに使われている
同伴関数を選択してみました。