Also known as hyperbolic number, perplex number, double number
element of the real commutative associative algebra ℝ[j] / (j² − 1), i.e. the reals with an extra square root of +1 adjoined
雙曲複數（英語：hyperbolic numbers或Split-complex number），是異於複數而對實數所做的推廣。
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Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).