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Chū-jiân-sò͘ 自然數 sī siōng ki-pún ê sò͘-ba̍k, ū lâng kóng sī chiàⁿ-ê chéng-sò͘ hō-chò chū-jiân-sò͘, mā ū lâng kā lêng mā sǹg-chāi-lāi. It-poaⁿ lâi kóng gián-kiù sò͘-lūn ê lâng bô kā 0 sǹg-chāi-lāi, gián-kiù chi̍p-ha̍p-lūn iah-sī tiān-náu kho-ha̍k ê lâng ōe kā 0 sǹg-chāi-lāi.
Kok-chióng ê sò͘ | ||
Ki-pún | ||
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Iân-sin | ||
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Kî-thaⁿ | ||
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Chū-jiân-sò͘ ê lō͘-iōng chú-iàu sī the̍h-lâi sǹg mi̍h-kiāⁿ ê sò͘-liōng, he̍k-chiá-sī the̍h-lâi pâi sūn-sū. It-poaⁿ ēng N iah-sī chò chū-jiân-sò͘ ê phiau-kì.
Chū-jiân-sò͘ ōe-tàng ēng Peano kong-siat lâi tēng-gī. Chū-jiân-sò͘ sī 1-ê bô chīn-pōng ê chi̍p-ha̍p
Chū-jiân-sò͘ ê ka-hoat ēng (recursion) lâi tēng-gī:
Koh lâi tō khì chhōe siáng-ê siong-sio̍k-chiá sī b, ēng tē-2-tiâu it-tı̍t sǹg-·lo̍h-khì, kàu-bóe-·á tē-1-tiâu tō ōe-tàng ēng.
Kú 1-ê te̍k-pia̍t ê lē. Nā-sī kā S(0) tēng-gī chò 1, án-ne S(a) = S(a) + 0 = a + S(0) = a + 1.
Chiàu chit-ê tēng-gī, (N, +) chiâⁿ-sêng 1-ê ū tan-ūi-goân 0 ê poàⁿ-kûn.
Chū-jiân-sò͘ ê sêng-hoat mā-sī ēng (recursion) lâi tēng-gī:
Kú 1-ê te̍k-pia̍t ê lē. a × 1 = a ×S(0) = a. Só͘-í 1 sī chū-jiân-sò͘ ê seng-hoat tan-ūi-goân. (N, ×) mā chiâⁿ-sêng 1-ê ū tan-ūi-goân ê poàⁿ-kûn.
Pún bûn-chiuⁿ sī chi̍t phiⁿ phí-á-kiáⁿ. Lí thang tàu khok-chhiong lâi pang-chō͘ Wikipedia. |
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