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

Example Input: それは最初の「ピーチ」、リンダグリーンとの彼らの3番目のヒットでした。
Example Output: It was their third hit with the first " Peaches " , Linda Greene .

Example Input: Patrick LoganがWisteria Laneに到着すると、彼はNickの上を走ります。
Example Output: When Patrick Logan arrives to Wisteria Lane , he runs Nick over .

Example Input: 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。
Example Output:
A semilinear transformation is a transformation that is " up to a twist " linear , which means " to a field automorphism under scalar multiplication " .