超越

超越

1. to exceed; to surpass; to transcend; to surmount
2. to overstep the bounds; to go beyond one's role
3. to fly across; to jump over; to pass

• (to exceed):

超越

1. (mathematics) transcendental

   超越數／超越数  ―  chāoyuèshù  ―  transcendental number

   • 兩個元素x1，x2∈A在K上代數無關，當且僅當x1在K上是超越的，並且x2在K(x1)上也是超越的。 [MSC, trad.]
     两个元素x1，x2∈A在K上代数无关，当且仅当x1在K上是超越的，并且x2在K(x1)上也是超越的。 [MSC, simp.]

     From: 2003, 朱尧辰 (Zhu Yaochen), 徐广善 (Xu Guangshan), 《超越数引论》

     Liǎng ge yuánsù x1, x2 ∈ A zài K shàng dàishùwúguān, dāngqiějǐndāng x1 zài K shàng shì chāoyuè de, bìngqiě x2 zài K(x1)shàng yěshì chāoyuè de.

     (please add an English translation of this usage example)

• 代數／代数 (dàishù)

Japanese Wikipedia has an article on:

超越

Wikipedia ^ja

English Wikipedia has an article on:

Transcendence

Wikipedia

From Middle Chinese 超越 (MC trhjew hjwot).

First cited to a text from roughly 1111.^[1]

• (Tokyo) ちょーえつ (Heiban – )^[2]
• IPA^(key):

超(ちょう)越(えつ) • (chōetsu) ^{←てうゑつ (teuwetu)?}

1. transcendence

• 卓絶(たくぜつ) (takuzetsu)
• 卓越(たくえつ) (takuetsu)

超(ちょう)越(えつ)する • (chōetsu suru) ^{←てうゑつ (teuwetu)?}transitive suru (stem 超(ちょう)越(えつ)し (chōetsu shi), past 超(ちょう)越(えつ)した (chōetsu shita))

1. to transcend something
2. to rise above something, to keep oneself aloof from something

超越 • (chowol) (hangeul 초월)

1. hanja form^? of 초월 (“transcendency, transcendence”)

超越

1. chữ Hán form of siêu việt (“transcendent”).