Given a sentence in Japanese, provide an equivalent paraphrased translation in English that retains the same meaning both through the translation and the paraphrase.

Q: 半線形変換は、「最大でねじれまで」線形である変換であり、「スカラー倍算のもとでの場の自己同型写像​​まで」を意味します。

A: A semilinear transformation is a transformation that is " up to a twist " linear , which means " to a field automorphism under scalar multiplication " .
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Q: 彼はChinese-Anglo Schoolで英語の夜間授業を受けました。

A: At the Anglo-Chinese School he took night lessons on the English language .
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Q: WORHPは、eNLP（European NLP Solver）とも呼ばれ、大規模で連続的な非線形最適化問題を数値的に解くための数学的ソフトウェアライブラリです。

A:
WORHP , also referred to as eNLP ( European NLP solver ) by ESA , is a mathematical software library for solving continuous large scale nonlinear optimization problems numerically .
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