HackMD數學文獻中的片語
tags: 數學
參考
定理、證明
| 台漢 | 台羅 | 英語 |
|---|---|---|
| 關係式 | kuan-hē-sik | relation |
| 數學式 | sòo-ha̍k-sik | expression |
| 公式 | kong-sik | formula |
| 恆等式 | hîng-tíng-sik | identity |
| 定義 | tīng-gī | definition |
| 法則 | huat-tsik | rule |
| 定律 | tīng-lu̍t | law |
| 原理 | guân-lí | principle |
| 公理 | kong-lí | axiom postulate |
| 定理 | tīng-lí | theorem |
| 命題 | bīng-tê | proposition |
| 補題 | póo-tê | lemma |
| 系理 | hē-lí | corollary |
| 推想 臆說 |
tshui-sióng ik-suat |
conjecture |
| paradox | ||
| 條件 | tiâu-kiānn | condition |
| 結論 | kiat-lūn | conclusion |
| 推論 | tshui-lūn | derive |
| 證明 | prove, verify, show | |
| 算、求 | calculate,estimate | |
| 解 | solve | |
| generalization | ||
| in general | ||
| specifically | ||
| case |
解
| 台漢 | 台羅 | 英語 |
|---|---|---|
| 平平零 | pênn-pênn lîng | vanish |
| 非零的 | hui-lîng ê | nonvanishing |
| 平凡的 | pîng-huân ê | trivial |
| 非平凡的 | hui-pîng-huang ê | non-trivial |
演算
| 台漢 | 台羅 | 英語 |
|---|---|---|
| Let… | ||
| Set… | ||
| Put… | ||
| differentiate | ||
| integrate | ||
| combine | ||
| 共 A 式橐入去 B 式（內底） | kā A sik lok ji̍p-ì B sik (lāi-té) | substitute Eq. A in Eq. B put Eq. A in Eq. B |
| 其中 | kî-tiong | …, where… |
| 重寫 | tîng-siá | rewrite |
| 寫現現 | siá hiān-hiān | write explicitly |
| 是寫做按呢： | sī siá tsò án-ne: | is given by |
| 形式是按呢： | hîng-sik sī án-ne: | is of the form… |
論證
| 台漢 | 台羅 | 英語 |
|---|---|---|
| 設使 | siat-sú | assuming (that)…, suppose (that)… |
| 佇……的都合 | tī … ê too-ha̍p | provided (that)… |
| 根據 | kin-kì | according to |
| result from | ||
| 造成、致使 | tsō-sîng, tì-sú | result in lead to |
| 因為 | in-uī | because, since |
| 所致、所擺 | sóo-tì, sóo-pái | hence, therfore |
| （就）得着 | (tiō) tit-tio̍h | we obtain … |
| 就知 | tiō tsai | we have … |
| （就）得着 | (tiō) tit-tio̍h | we find … |
| （就）得着 | (tiō) tit-tio̍h | we obtain … |
| 結果是 | kiat-kó sī | it follows that … |
| it can be seen that… | ||
| 是誠實--兮 | sī tsiânn-si̍t–ê | is true |
| 有成立 | ū sîng-li̍p | stands |
| A 佮 B 會合 | A kah B ē ha̍h | A satisfies B |
| A 佮 B 袂合 | A kah B bē ha̍h | A does not satisfy B |
| Q.E.D. |
嚇驚式證明（Proof by intimidation）
| 台漢 | 台羅 | 英語 |
|---|---|---|
| Clearly… | ||
| It is self-evident that… | ||
| It can be easily shown that… | ||
| … does not warrant a proof. | ||
| 證明留予恁練習 | The proof is left as an exercise. |
- 推 tshui, thui
- 根 kin, kun, kirn
- 據 kì, kù, kìr
- 按呢 án-ne, án-ni
- 就 tiō, tō
- 袂 bē, buē
