A transcendental number is a type of number that cannot be obtained by solving any algebraic equation made up of whole numbers and basic mathematical operations. These numbers matter because they reveal fundamental limits to what kinds of solutions equations can have, and famous examples like pi and e show up everywhere in mathematics and science.
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在數論中,超越數(transcendental number)是指任何一個不是代數數的无理数。只要它不是任何一個有理係數代數方程的根,它即是超越數。最著名的超越數是e以及π。 幾乎所有的實數和複數都是超越數,這是因為代數數的集合是可數集,而實數和複數的集合是不可數集之故。
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Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).