Chéng-sò͘

Kok-chióng ê sò͘

Ki-pún

$\mathbb {N} \subseteq \mathbb {Z} \subseteq \mathbb {Q} \subseteq \mathbb {R} \subseteq \mathbb {C}$ Chèng-sò͘ ${\begin{smallmatrix}\mathbb {R} ^{+}\end{smallmatrix}}$ Chū-jiân-sò͘ ${\begin{smallmatrix}\mathbb {N} \end{smallmatrix}}$ Chèng-chéng-sò͘ ${\begin{smallmatrix}\mathbb {Z} ^{+}\end{smallmatrix}}$ Siáu-sò͘ Iú-hān siáu-sò͘ Bû-hān siáu-sò͘ Sûn-khoân siáu-sò͘ Iú-lí-sò͘ ${\begin{smallmatrix}\mathbb {Q} \end{smallmatrix}}$ Tāi-sò͘-sò͘ ${\begin{smallmatrix}\mathbb {A} \end{smallmatrix}}$ Si̍t-sò͘ ${\begin{smallmatrix}\mathbb {R} \end{smallmatrix}}$ Ho̍k-cha̍p-sò͘ ${\begin{smallmatrix}\mathbb {C} \end{smallmatrix}}$ Gauss chéng-sò͘ ${\begin{smallmatrix}\mathbb {Z} [i]\end{smallmatrix}}$ Hū-sò͘ ${\begin{smallmatrix}\mathbb {R} ^{-}\end{smallmatrix}}$ Chéng-sò͘ ${\begin{smallmatrix}\mathbb {Z} \end{smallmatrix}}$ Hū-chéng-sò͘ ${\begin{smallmatrix}\mathbb {Z} ^{-}\end{smallmatrix}}$ Hun-sò͘ Tan-ūi hun-sò͘ Jī-chìn hun-sò͘ Kui-kí-sò͘ Bû-lí-sò͘ Chhiau-oa̍t-sò͘ Hu-sò͘ Jī-chhù bû-lí-sò͘ Eisenstein chéng-sò͘ ${\begin{smallmatrix}\mathbb {Z} [\omega ]\end{smallmatrix}}$

Iân-sin

Siang-ho̍k-sò͘ Sù-goân-sò͘ ${\begin{smallmatrix}\mathbb {H} \end{smallmatrix}}$ Kiōng-sù-goân-sò͘ Pat-goân-sò͘ ${\begin{smallmatrix}\mathbb {O} \end{smallmatrix}}$ Chhiau-sò͘ Siōng-chhiau si̍t-sò͘ Chhiau-ho̍k-sò͘ Si̍p-lio̍k-goân-sò͘ ${\begin{smallmatrix}\mathbb {S} \end{smallmatrix}}$ Ho̍k-sù-goân-sò͘ Tāi-si̍t-sò͘ Chhiau-si̍t-sò͘ ${\begin{smallmatrix}{}^{\star }\mathbb {R} \end{smallmatrix}}$ Chhiau-hiān-si̍t-sò͘

Kî-thaⁿ

Tùi-ngó͘-sò͘ Siang-khiok ho̍k-sò͘ Sū-sò͘ Sò͘-sò͘ Tông-û Khó-kè-soàn-só͘ Aleph sò͘ Kong-chheng-ti̍t Chhiau-hān-sò͘ Ki-sò͘ P chìn-sò͘ kui-kí-sò͘ Chéng-sò͘ sò͘-lia̍t Sò͘-ha̍k siông-sò͘ ${\begin{smallmatrix}\pi \end{smallmatrix}}$ = 3.141592653… ${\begin{smallmatrix}e\end{smallmatrix}}$ = 2.718281828… ${\begin{smallmatrix}i\end{smallmatrix}}$ = ${\begin{smallmatrix}+{\sqrt {-1}}\end{smallmatrix}}$ ${\begin{smallmatrix}\infty \end{smallmatrix}}$

Chéng-sò͘ (integer) pau-hâm chū-jiân-sò͘ (1, 2, 3, …), hū-chū-jiân-sò͘ (−1, −2, −3, ...) ham 0. Khah chèng-sek ê kóng-hoat sī: Chéng-sò͘ sī î-it 1 ê chiàⁿ goân-sò͘ lóng sī hó-sūn-sū (well-order)--ê, jî-chhiáⁿ ke-hoat ē-tit pó-chhî sūn-sū--ê chéng-sò͘-he̍k (integral domain). Chéng-sò͘ chham chū-jiân-sò͘ kāng khoán, lóng sī thang-sǹg chi̍p-ha̍p (countable set), goân-sò͘ sò͘-liōng bû-hān. Chéng-sò͘ koàn-sì ēng chho͘-thé Z ia̍h $\mathbb {Z}$ piáu-sī, Tek-gí Zahlen , sò͘-ba̍k ê ì-sù.

Tī tāi-sò͘-lūn (algebraic number theory), chéng-sò͘ mā hō chò pí-lē chéng-sò͘ (rational integer), piáu-sī in sī pí-sò͘ lāi-té ê chéng-sò͘, thang kap pa̍t chióng koan-liām khu-pia̍t, khó-pí kóng Gaussian chéng-sò͘.