Detailed Instructions: Given a sentence in English, provide an equivalent paraphrased translation in Chinese that retains the same meaning both through the translation and the paraphrase.
Problem:A semilinear transformation is a transformation which is linear " up to a twist " , meaning " up to a field automorphism under scalar multiplication " .
Solution:
半线性变换是一种“扭曲”线性变换，即“标量乘法下的场自同构”。