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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ||
! | |||
! eng-Latn-US: | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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| || | | || | ||
|- | |- | ||
| | | number theory || | ||
| | | 数论 || | ||
| | | shù lùn || | ||
| | | Zahlentheorie [f] || | ||
| | | théorie [f] des nombres || | ||
| | | 数論 || | ||
| | | す↑うろん || | ||
| | | نَظَریه اَعداد || | ||
| | | тео́рия чи́сел || | ||
|- | |||
| arithmetic || | |||
| 算术 || | |||
| suàn shù || | |||
| Arithmetik [f] || | |||
| arithmétique [f] || | |||
| 算数 || | |||
| さ↑んす↓う || | |||
| علمِ حِساب || | |||
| арифме́тика || | |||
|- | |||
| algebraic number theory || arithmetic; algebra | |||
| 代数数论 || | |||
| dàishù shùlùn || | |||
| algebraische Zahlentheorie || | |||
| théorie [f] algébrique des nombres || | |||
| 代数的整数論 || | |||
| だ↑いすうてき↓せ↑いす↓うろん || | |||
| نَظَریه جَبری اَعداد || | |||
| алгебраи́ческая тео́рия чи́сел || | |||
|- | |- | ||
| | | analytic number theory || arithmetic; mathematical analysis | ||
| | | 解析数论 || | ||
| | | jiěxī shùlùn || | ||
| | | analytische Zahlentheorie || | ||
| | | théorie [f] analytique des nombres || | ||
| | | 解析的整数論,解析数論 || | ||
| | | か↑いせきてき↓せ↑いす↓うろん,か↑いせきす↓うろん || | ||
| | | نَظَریه تَحلیل اَعداد || | ||
| | | аналити́ческая тео́рия чи́сел || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|} | |||
== Main == | |||
=== Arithmetic === | |||
{| class="wikitable sortable" | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیشنیاز | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| absolute value, modulus || real number | |||
| 绝对值,模 || | |||
| juéduì zhí, mó || | |||
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert || | |||
| valeur absolue, module [m] || | |||
| 絶対値,母数 || | |||
| ぜ↑った↓いち,ぼ↑す↓う || | |||
| قَدرِ مُطلَق || | |||
| абсолю́тная величина́, мо́дуль [м] || | |||
|- | |||
| additive inverse, opposite, negation || addition; number (abstract idea) | |||
| 加法逆元,相反数 || | |||
| jiāfǎ nìyuán, xiāngfǎn shù || | |||
| Gegenzahl [f] || | |||
| opposé [m] || | |||
| 反数 || | |||
| は↓んすう || | |||
| وارون اَفزایِِشی || | |||
| противополо́жное число́ || | |||
|- | |||
| chisanbop || addition; subtraction | |||
| 指算法 || | |||
| zhǐsuàn fǎ || | |||
| Chisanbop [n] || | |||
| || | |||
| 指算法 || | |||
| ゆ↑びさ↓んぽう || | |||
| مُحاسِبه اَنگُشتی || | |||
| || | | || | ||
|- | |- | ||
| common difference || arithmetic progression; difference <number theory> | |||
| 公差 || | |||
| gōng chā || | |||
| || | |||
| || | |||
| 公差 || | |||
| こ↓うさ || | |||
| || | |||
| || | |||
|- | |||
| common ratio || geometic progression; ratio <number theory> | |||
| 公比 || | |||
| gōng bǐ || | |||
| || | |||
| || | |||
| 公比 || | |||
| こ↓うひ || | |||
| || | |||
| || | |||
|- | |||
| complex conjugate || complex number | |||
| 共轭复数 || | | 共轭复数 || | ||
| gòng'è fùshù || | | gòng'è fùshù || | ||
| komplexe Konjugation || | | komplexe Konjugation || | ||
| conjugué [m] || | | conjugué [m] || | ||
| 複素共役 || | | 複素共役 || | ||
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| сопряжённые чи́сла || | | сопряжённые чи́сла || | ||
|- | |- | ||
| constant || number (abstract idea) | |||
| 常数,定数 || | | 常数,定数 || | ||
| cháng shù, dìng shù || | | cháng shù, dìng shù || | ||
| Konstante [f], Festwert [m] || | | Konstante [f], Festwert [m] || | ||
| constante [f] || | | constante [f] || | ||
| 定数,常数 || | | 定数,常数 || | ||
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| постоя́нная, конста́нта || | | постоя́нная, конста́нта || | ||
|- | |- | ||
| continued fraction || integer part; multiplicative inverse | |||
| 连分数,繁分数 || | | 连分数,繁分数 || | ||
| lián fēnshù, fán fēnshù || | | lián fēnshù, fán fēnshù || | ||
| Kettenbruch [m] || | | Kettenbruch [m] || | ||
| fraction [f] continue || | |||
| fraction continue || | |||
| 連分数 || | | 連分数 || | ||
| れ↑んぶ↓んすう || | | れ↑んぶ↓んすう || | ||
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| непреры́вная дробь [ж], цепна́я дробь [ж] || | | непреры́вная дробь [ж], цепна́я дробь [ж] || | ||
|- | |- | ||
| coprime numbers, relatively prime numbers, mutually prime numbers || prime number; divisor | |||
| 互质数 || | | 互质数 || | ||
| hùzhì shù || | | hùzhì shù || | ||
| teilerfremde Zahlen [f pl] || | | teilerfremde Zahlen [f pl] || | ||
| nombres [m pl] premiers entre eux || | | nombres [m pl] premiers entre eux || | ||
| 互いに素 || | | 互いに素 || | ||
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| взаи́мно просты́е чи́сла || | | взаи́мно просты́е чи́сла || | ||
|- | |- | ||
| counting rods || basic operation | |||
| 算筹,算子 || | | 算筹,算子 || | ||
| suàn chóu, suàn zǐ || | | suàn chóu, suàn zǐ || | ||
| Zählstäbe [m pl] || | | Zählstäbe [m pl] || | ||
| baguettes [f pl] à calculer || | | baguettes [f pl] à calculer || | ||
| 算木,算籌 || | | 算木,算籌 || | ||
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| счётные па́лочки || | | счётные па́лочки || | ||
|- | |- | ||
| Cuisenaire rods || basic operations | |||
| 古氏积木 || | | 古氏积木 || | ||
| Gǔshì jīmù || | | Gǔshì jīmù || | ||
| Cuisenaire-Stäbchen [n pl] || | | Cuisenaire-Stäbchen [n pl] || | ||
| réglettes [f pl] Cuisenaire || | | réglettes [f pl] Cuisenaire || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| decimal fraction || decimal representation | |||
| 小数 || | | 小数 || | ||
| xiǎo shù || | | xiǎo shù || | ||
| Dezimalbruch [m], Zehnerbruch [m] || | | Dezimalbruch [m], Zehnerbruch [m] || | ||
| fraction décimale || | | fraction décimale || | ||
| 小数 || | | 小数 || | ||
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| десяти́чная дробь [ж] || | | десяти́чная дробь [ж] || | ||
|- | |- | ||
| decimal representation || number (symbol) | |||
| decimal | |||
| | |||
| | |||
| 小数表示法 || | | 小数表示法 || | ||
| xiǎoshù biǎoshì fǎ || | | xiǎoshù biǎoshì fǎ || | ||
| Dezimaldarstellung [f] || | | Dezimaldarstellung [f] || | ||
| développement [m] décimal || | |||
| développement décimal || | |||
| 小数表記法 || | | 小数表記法 || | ||
| しょ↑うすうひょ↓うきほう || | | しょ↑うすうひょ↓うきほう || | ||
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| десяти́чное представле́ние || | | десяти́чное представле́ние || | ||
|- | |- | ||
| decimal separator || decimal representation; radix character | |||
| 小数点 || | | 小数点 || | ||
| xiǎoshù diǎn || | | xiǎoshù diǎn || | ||
| Dezimaltrennzeichen [n] || | | Dezimaltrennzeichen [n] || | ||
| séparateur [m] décimal || | |||
| séparateur décimal || | |||
| 小数点 || | | 小数点 || | ||
| しょ↑うす↓うてん || | | しょ↑うす↓うてん || | ||
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| десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я || | | десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я || | ||
|- | |- | ||
| denominator || fraction; operand <mathematical logic> | |||
| 分母 || | |||
| fēn mǔ || | |||
| Nenner [m] || | |||
| dénominateur [m] || | |||
| 分母 || | |||
| ぶ↓んぼ || | |||
| مَخرَج کَسر || | |||
| знамена́тель [м] || | |||
|- | |||
| digit || number (abstract idea); symbol | |||
| 数字(单个符号) || | | 数字(单个符号) || | ||
| shù zì (dāngè fúhào) || | | shù zì (dāngè fúhào) || | ||
| Ziffer [f] || | | Ziffer [f] || | ||
| chiffre [m] || | |||
| chiffre [m] | |||
| 数字(個々の符号) || | | 数字(個々の符号) || | ||
| す↑うじ(こ↓このふ↑ごう) || | | す↑うじ(こ↓このふ↑ごう) || | ||
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| ци́фра || | | ци́фра || | ||
|- | |- | ||
| direct proportionality || proportionality | |||
| 正比例 || | | 正比例 || | ||
| zhèng bǐlì || | | zhèng bǐlì || | ||
| direkte Proprotionalität || | | direkte Proprotionalität || | ||
| proportionnalité directe || | | proportionnalité directe || | ||
| 正比例 || | | 正比例 || | ||
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| пряма́я пропорциона́льность [ж] || | | пряма́я пропорциона́льность [ж] || | ||
|- | |- | ||
| Diophantine approximation || real number | |||
| 丢番图逼近 || | | 丢番图逼近 || | ||
| Diūfāntú bījìn || | | Diūfāntú bījìn || | ||
| diophantische Approximation || | | diophantische Approximation || | ||
| approximation diophantienne || | | approximation diophantienne || | ||
| ディオファントス近似 || | | ディオファントス近似 || | ||
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| диофа́нтово приближе́ние || | | диофа́нтово приближе́ние || | ||
|- | |- | ||
| | | Egyptian fraction || unit fraction | ||
| 埃及分数 || | | 埃及分数 || | ||
| Āijí fēnshù || | | Āijí fēnshù || | ||
| Stammbruchzerlegung [f] || | | Stammbruchzerlegung [f] || | ||
| fraction égyptienne || | | fraction égyptienne || | ||
| エジプト式分数,エジプト分数 || | | エジプト式分数,エジプト分数 || | ||
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| еги́петская дробь || | | еги́петская дробь || | ||
|- | |- | ||
| engineering notation || scientific notation | |||
| 工程计数法 || | | 工程计数法 || | ||
| gōngchéng jìshù fǎ || | | gōngchéng jìshù fǎ || | ||
| technische Notation || | | technische Notation [f] || | ||
| notation [f] ingénieur || | | notation [f] ingénieur || | ||
| || | | || | ||
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| инжене́рная нота́ция || | | инжене́рная нота́ция || | ||
|- | |- | ||
| Euclid's lemma || prime number | |||
| 欧几里得引理 || | | 欧几里得引理 || | ||
| Ōujīlǐdé yǐnlǐ || | | Ōujīlǐdé yǐnlǐ || | ||
| Lemma [n] von Euklid || | | Lemma [n] von Euklid || | ||
| lemme [m] d'Euclide || | | lemme [m] d'Euclide || | ||
| ユークリッドの補題 || | | ユークリッドの補題 || | ||
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| ле́мма Евкли́да || | | ле́мма Евкли́да || | ||
|- | |- | ||
| Euler's number, e || constant | |||
| 自然常数,自然底数,欧拉常数 || | | 自然常数,自然底数,欧拉常数 || | ||
| zìrán chángshù, zìrán dǐshù, Ōulā chángshù || | | zìrán chángshù, zìrán dǐshù, Ōulā chángshù || | ||
| eulersche Zahl || | | eulersche Zahl || | ||
| nombre [m] d'Euler, constante [f] de Néper, nombre [m] e || | | nombre [m] d'Euler, constante [f] de Néper, nombre [m] e || | ||
| ネイピア数,オイラー数 || | | ネイピア数,オイラー数 || | ||
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| число́ Э́йлера, число́ e || | | число́ Э́йлера, число́ e || | ||
|- | |- | ||
| even number || natural number; division | |||
| 偶数 || | | 偶数 || | ||
| ǒu shù || | | ǒu shù || | ||
| gerade Zahl || | | gerade Zahl || | ||
| nombre pair || | | nombre pair || | ||
| 偶数 || | | 偶数 || | ||
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| чётное число́ || | | чётное число́ || | ||
|- | |- | ||
| extreme || proportion | |||
| 外项 || | |||
| wài xiàng || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| finger binary || addition; subtraction; binary system | |||
| 二进制指算法 || | | 二进制指算法 || | ||
| èrjìnzhì zhǐsuànfǎ || | | èrjìnzhì zhǐsuànfǎ || | ||
| binär zählen mit Fingern [m pl] || | | binär zählen mit Fingern [m pl] || | ||
| || | | || | ||
| 二進指数え法 || | | 二進指数え法 || | ||
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| || | | || | ||
|- | |- | ||
| factorization, factoring || mathematical object <mathematical logic> | |||
| 因式分解 || | | 因式分解 || | ||
| yīnshì fēnjiě || | | yīnshì fēnjiě || | ||
| Faktorisierung [f] || | | Faktorisierung [f] || | ||
| factorisation [f] || | | factorisation [f] || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| finite continued fraction, terminated continued fraction || continued fraction; infinity | |||
| 有限连分数 || | | 有限连分数 || | ||
| yǒuxiàn liánfēnshù || | | yǒuxiàn liánfēnshù || | ||
| endlicher Kettenbruch || | | endlicher Kettenbruch || | ||
| fraction continue finie || | | fraction continue finie || | ||
| 有限連分数 || | | 有限連分数 || | ||
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| коне́чная цепна́я дробь [ж] || | | коне́чная цепна́я дробь [ж] || | ||
|- | |- | ||
| golden ratio || ratio; addition; root extraction | |||
| 黄金比例,黄金分割率,黄金分割比 || | | 黄金比例,黄金分割率,黄金分割比 || | ||
| huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ || | | huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ || | ||
| Goldener Schnitt || | | Goldener Schnitt || | ||
| nombre [m] d'or [m], section dorée, proportion dorée || | | nombre [m] d'or [m], section dorée, proportion dorée || | ||
| 黄金比 || | | 黄金比 || | ||
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| золото́е сече́ние, золота́я пропо́рция || | | золото́е сече́ние, золота́я пропо́рция || | ||
|- | |- | ||
| greatest common divisor, highest common divisor, greatest common factor || integer; division | |||
| 最大公因数,最大公约数 || | | 最大公因数,最大公约数 || | ||
| zuìdà gōngyīnshù, zuìdà gōngyuēshù || | | zuìdà gōngyīnshù, zuìdà gōngyuēshù || | ||
| größter gemeinsamer Teiler || | | größter gemeinsamer Teiler || | ||
| plus grand commun diviseur || | | plus grand commun diviseur || | ||
| 最大公約数 || | | 最大公約数 || | ||
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| наибо́льшим о́бщим дели́телем || | | наибо́льшим о́бщим дели́телем || | ||
|- | |- | ||
| imaginary unit, unit imaginary number || imaginary number | |||
| 虚数单位 || | | 虚数单位 || | ||
| xūshù dānwèi || | | xūshù dānwèi || | ||
| imaginäre Einheit || | | imaginäre Einheit || | ||
| unité imaginaire || | | unité imaginaire || | ||
| 虚数単位 || | | 虚数単位 || | ||
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| мни́мая едини́ца || | | мни́мая едини́ца || | ||
|- | |- | ||
| improper fraction || fraction | |||
| 假分数 || | | 假分数 || | ||
| jiǎ fēnshù || | | jiǎ fēnshù || | ||
| unechter Bruch, uneigentlicher Bruch || | | unechter Bruch, uneigentlicher Bruch || | ||
| fraction impropre || | | fraction impropre || | ||
| 仮分数 || | | 仮分数 || | ||
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| непра́вильные дро́би || | | непра́вильные дро́би || | ||
|- | |- | ||
| infinite continued fraction || continued fraction; infinity | |||
| 无限连分数 || | | 无限连分数 || | ||
| wúxiàn liánfēnshù || | | wúxiàn liánfēnshù || | ||
| unendlicher Kettenbruch || | | unendlicher Kettenbruch || | ||
| fraction continue infinie || | | fraction continue infinie || | ||
| 無限連分数 || | | 無限連分数 || | ||
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| бесконе́чная цепна́я дробь [ж] || | | бесконе́чная цепна́я дробь [ж] || | ||
|- | |- | ||
| infinity || number (abstract idea) | |||
| 无穷 || | | 无穷 || | ||
| | | wú qióng || | ||
| Unendlichkeit [f] || | | Unendlichkeit [f] || | ||
| infini [m] || | | infini [m] || | ||
| 無限 || | | 無限 || | ||
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| бесконе́чность || | | бесконе́чность || | ||
|- | |- | ||
| inverse function, anti-function || function <mathematical logic>; inverse mapping | |||
| 反函数 || | | 反函数 || | ||
| fǎn hánshù || | | fǎn hánshù || | ||
| Umkehrfunktion [f], inverse Funktion || | | Umkehrfunktion [f], inverse Funktion || | ||
| fonction [f] réciproque || | | fonction [f] réciproque || | ||
| || | |||
| 逆函数 || | | 逆函数 || | ||
| ぎゃ↑くか↓んすう || | | ぎゃ↑くか↓んすう || | ||
| обра́тная фу́нкция || | | обра́тная фу́нкция || | ||
|- | |- | ||
| inverse mapping || mapping | |||
| 逆映射 || | | 逆映射 || | ||
| nì yìngshè || | | nì yìngshè || | ||
| inverse Abbildung, Umkehrabbildung [f] || | | inverse Abbildung, Umkehrabbildung [f] || | ||
| bijection [f] réciproque || | | bijection [f] réciproque || | ||
| 逆写像 || | | 逆写像 || | ||
Line 457: | Line 446: | ||
| обра́тное отображе́ние || | | обра́тное отображе́ние || | ||
|- | |- | ||
| inverse proportionality || proportionality | |||
| 反比例 || | | 反比例 || | ||
| fǎn bǐlì || | | fǎn bǐlì || | ||
| umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität || | | umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität || | ||
| proportionnalité inverse || | | proportionnalité inverse || | ||
| 反比例 || | | 反比例 || | ||
Line 467: | Line 456: | ||
| обра́тная пропорциона́льность || | | обра́тная пропорциона́льность || | ||
|- | |- | ||
| irreducible fraction, fraction in lowest terms, simplest form, reduced fraction || fraction; coprime integer | |||
| 最简分数,既约分数 || | | 最简分数,既约分数 || | ||
| zuìjiǎn fēnshù, jìyuē fēnshù || | | zuìjiǎn fēnshù, jìyuē fēnshù || | ||
| gekürzter Bruch || | | gekürzter Bruch || | ||
| fraction [f] irréductible || | | fraction [f] irréductible || | ||
| 既約分数 || | | 既約分数 || | ||
Line 477: | Line 466: | ||
| несократи́мая дробь || | | несократи́мая дробь || | ||
|- | |- | ||
| | | lattice multiplication || multiplication | ||
| | | 格子乘法,铺地锦算法 || | ||
| | | gézi suànfǎ, pūdìjǐn suànfǎ || | ||
| Gittermethode [f] || | |||
| multiplication [f] par jalousies [f pl] || | |||
| 格子掛け算 || | |||
| こ↑うしかけ↓ざん || | |||
| || | |||
| решёточное умноже́ние || | |||
|- | |||
| least common denominator, lowest common denominator || least common multiple | | least common denominator, lowest common denominator || least common multiple | ||
| 最小公分母 || | |||
| zuìxiǎo gōngfēnmǔ || | |||
| Hauptnenner [m] || | |||
| plus petit dénominateur commun || | | plus petit dénominateur commun || | ||
| 最小公分母 || | | 最小公分母 || | ||
Line 487: | Line 486: | ||
| наиме́ньший о́бщий знамена́тель || | | наиме́ньший о́бщий знамена́тель || | ||
|- | |- | ||
| least common multiple, lowest common multiple, smallest common multiple || integer; division; denominator | |||
| 最小公倍数 || | | 最小公倍数 || | ||
| zuìxiǎo gōngbèishù || | | zuìxiǎo gōngbèishù || | ||
| kleinstes gemeinsames Vielfaches || | | kleinstes gemeinsames Vielfaches || | ||
| plus petit commun multiple, plus petit multiple commun || | | plus petit commun multiple, plus petit multiple commun || | ||
| 最小公倍数 || | | 最小公倍数 || | ||
Line 497: | Line 496: | ||
| наиме́ньшее о́бщее кра́тное || | | наиме́ньшее о́бщее кра́тное || | ||
|- | |- | ||
| long division || division | |||
| 长除法 || | | 长除法 || | ||
| cháng chúfǎ || | | cháng chúfǎ || | ||
| Standardmethode [f] der schriftlichen Division [f] || | | Standardmethode [f] der schriftlichen Division [f] || | ||
| division posée || | | division posée || | ||
| 長除法 || | | 長除法 || | ||
Line 507: | Line 506: | ||
| деле́ние сто́лбиком || | | деле́ние сто́лбиком || | ||
|- | |- | ||
| | | long multiplication || multiplication | ||
| | | 长乘法 || | ||
| | | cháng chéngfǎ || | ||
| | | Standardmethode [f] der schriftlichen Multiplikation [f] || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | |||
| || | | || | ||
|- | |- | ||
| | | mean || proportion | ||
| | | 内项 || | ||
| | | nèi xiàng || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | minus sign || subtraction; negative number | ||
| 减号 || | |||
| | | jiǎn hào || | ||
| | | Minuszeichen [n] || | ||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | mixed number || fraction | ||
| | | 带分数 || | ||
| | | dài fēnshù || | ||
| | | gemischte Zahl || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | |||
| || | | || | ||
|- | |- | ||
| | | modular arithmetic || integer | ||
| | | 模算术 || | ||
| | | mó suànshù || | ||
| | | Modulararithmetik [f] || | ||
| || | |||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | multiplication table || multiplication | ||
| | | 乘法表 || | ||
| | | chéngfǎ biǎo || | ||
| | | Einmaleins [n] || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | multiplicative inverse, reciprocal || multiplication; reciprocation | ||
| | | 乘法逆元,倒数 || | ||
| | | chéngfǎ nìyuán, dào shù || | ||
| | | Kehrwert [m] || | ||
| || | | || | ||
| || | | || | ||
Line 667: | Line 576: | ||
| || | | || | ||
|- | |- | ||
| | | Napier's rods, Napier's bones || lattice multiplication | ||
| | | 纳皮尔筹 || | ||
| | | Nàpí'ěr chóu || | ||
| | | Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen || | ||
| || | | || | ||
| || | | || | ||
Line 677: | Line 586: | ||
| || | | || | ||
|- | |- | ||
| | | negative number || number (abstract idea) | ||
| | | 负数 || | ||
| | | fù shù || | ||
| | | negative Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 687: | Line 596: | ||
| || | | || | ||
|- | |- | ||
| | | notation || numeral; symbol | ||
| | | 符号 || | ||
| | | fúhào || | ||
| | | Notation [f] || | ||
| || | | || | ||
| || | | || | ||
Line 697: | Line 606: | ||
| || | | || | ||
|- | |- | ||
| | | non-negative number || negative number | ||
| | | 非负数 || | ||
| | | fēifù shù || | ||
| | | nichtnegative Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 707: | Line 616: | ||
| || | | || | ||
|- | |- | ||
| | | non-positive number || positive number | ||
| | | 非正数 || | ||
| | | fēizhèng shù || | ||
| | | nichtpositive Zahl || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| number (abstract idea) || mathematical object <mathematical logic> | |||
| 数 || | |||
| shù zì (chōuxiàng gàiniàn) || | |||
| Zahl [f] (abstrakte Idee) || | |||
| || | | || | ||
| || | | || | ||
Line 727: | Line 636: | ||
| || | | || | ||
|- | |- | ||
| number (symbol), numeral || digit | |||
| 数字(整个符号) || | |||
| shù zì (zhěnggè fúhào) || | |||
| Zahl [f] (Symbol) || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
|- | |||
| number line || line <geometry> | |||
| 数轴,数线 || | |||
| shù zhóu, shù xiàn || | |||
| Zahlengerade [f], Zahlenstrahl [m] || | |||
| || | | || | ||
| || | | || | ||
Line 737: | Line 656: | ||
| || | | || | ||
|- | |- | ||
| | | numerator || fraction; operand <mathematical logic> | ||
| | | 分子 || | ||
| | | fēn zǐ || | ||
| | | Zähler [m] || | ||
| || | | || | ||
| || | | || | ||
Line 747: | Line 666: | ||
| || | | || | ||
|- | |- | ||
| | | odd number || natural number; division | ||
| | | 奇数 || | ||
| | | jī shù || | ||
| | | ungerade Zahl || | ||
| nombre impair || | |||
| 奇数 || | |||
| き↑す↓う || | |||
| || | |||
| нечётное число́ || | |||
|- | |||
| operator precedence, order of operation <mathematical logic> || basic operation; exponentiation; root extraction | |||
| 运算次序,运算顺序 || | |||
| yùnsuàn cìxù, yùnsuàn shùnxù || | |||
| Operatorpräzedenz [f], Operatorrangfolge [f] || | |||
| || | | || | ||
| || | | || | ||
Line 757: | Line 686: | ||
| || | | || | ||
|- | |- | ||
| | | order of magnitude || logarithm | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 777: | Line 696: | ||
| || | | || | ||
|- | |- | ||
| | | parity || natural number | ||
| | | 奇偶性 || | ||
| | | jī'ǒu xìng || | ||
| | | Parität [f] || | ||
| || | | || | ||
| || | | || | ||
Line 787: | Line 706: | ||
| || | | || | ||
|- | |- | ||
| | | Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle || number (symbol); triangle <geometry> | ||
| | | 杨辉三角形,贾宪三角形,帕斯卡三角形,海亚姆三角形 || | ||
| | | Yáng Huī sānjiǎoxíng, Jiǎ Xiàn sānjiǎoxíng, Pàsīkǎ sānjiǎoxíng, Hǎiyàmǔ sānjiǎoxíng || | ||
| | | Pascal'sches Dreieck, Chayyām-Dreieck [n], Yang-Hui-Dreieck [n], Tartaglia-Dreieck [n] || | ||
| || | | || | ||
| || | | || | ||
Line 797: | Line 716: | ||
| || | | || | ||
|- | |- | ||
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication | |||
| 农夫算法 || | |||
| nóngfū suànfǎ || | |||
| russische Bauernmultiplikation || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| percentage || fraction | |||
| 百分数 || | |||
| bǎifēn shù || | |||
| Prozentsatz [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| | | percent sign || percentage | ||
| 百分号 || | |||
| bǎifēn hào || | |||
| Prozentzeichen [n] || | |||
| || | | || | ||
| || | | || | ||
Line 817: | Line 746: | ||
| || | | || | ||
|- | |- | ||
| | | plus sign || addition; positive number | ||
| | | 加号 || | ||
| | | jiā hào || | ||
| | | Pluszeichen [n] || | ||
| || | | || | ||
| || | | || | ||
Line 827: | Line 756: | ||
| || | | || | ||
|- | |- | ||
| | | positional notation, place-value notation, positional numeral system || numeral system | ||
| | | 进位制,进位计数法,位值计数法 || | ||
| | | jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ || | ||
| | | Stellenschreibweise [f] || | ||
| || | | || | ||
| || | | || | ||
Line 837: | Line 766: | ||
| || | | || | ||
|- | |- | ||
| | | positive number || number (abstract idea) | ||
| | | 正数 || | ||
| | | zhèng shù || | ||
| | | positive Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 847: | Line 776: | ||
| || | | || | ||
|- | |- | ||
| proper fraction || fraction | |||
| 真分数 || | |||
| zhēn fēnshù || | |||
| echter Bruch, eigentlicher Bruch || | |||
| fraction propre || | |||
| || | |||
| 真分数 || | |||
| し↑んぶ↓んすう || | |||
| пра́вильная дробь || | |||
|- | |||
| proportion || constant; sequence; ratio | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 857: | Line 796: | ||
| || | | || | ||
|- | |- | ||
| | | proportionality || proportion | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 867: | Line 806: | ||
| || | | || | ||
|- | |- | ||
| | | radix, base || positional notation | ||
| | | 底数(进制) || | ||
| | | dǐ shù (jìn zhì) || | ||
| | | Basis [f] (Zahlensystem) || | ||
| || | | || | ||
| || | | || | ||
Line 877: | Line 816: | ||
| || | | || | ||
|- | |- | ||
| | | radix character || radix | ||
| | | 小数点 || | ||
| | | xiǎoshù diǎn || | ||
| | | Radixpunkt [m] || | ||
| || | | || | ||
| || | | || | ||
Line 887: | Line 826: | ||
| || | | || | ||
|- | |- | ||
| | | ratio || number (abstract idea) | ||
| | | 比率,比值 || | ||
| | | bǐ lǜ, bǐ zhí || | ||
| | | Verhältnis [n] || | ||
| || | | || | ||
| || | | || | ||
Line 897: | Line 836: | ||
| || | | || | ||
|- | |- | ||
| | | reciprocal function || function; multiplicative inverse | ||
| | | 互反函数 || | ||
| | | hùfǎn hánshù || | ||
| | | Reziprokfunktion [f], reziproke Funktion || | ||
| || | | || | ||
| || | | || | ||
Line 907: | Line 846: | ||
| || | | || | ||
|- | |- | ||
| remainder || division with remainder | |||
| 余数 || | |||
| yú shù || | |||
| Rest [m], Teilungsrest [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| repeating decimal, recurring decimal || | |||
| 循环小数 || | |||
| xúnhuán xiǎoshù || | |||
| periodische Dezimalzahlen [f pl] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| parentheses || operator precedence | |||
| 圆括号,括弧号 || | |||
| yuán kuòhào, kuòhú hào || | |||
| runde Klammern [f pl] || | |||
| || | | || | ||
| || | | || | ||
Line 924: | Line 875: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | significand || scientific notation | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| silver ratio, silver mean || ratio; addition; root extraction | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 969: | Line 896: | ||
| || | | || | ||
|- | |- | ||
| | | simple fraction, common fraction, vulgar fraction || fraction | ||
| | | 简分数 || | ||
| | | jiǎn fēnshù || | ||
| | | gemeiner Bruch, gewöhnlicher Bruch || | ||
| || | | || | ||
| || | | || | ||
Line 979: | Line 906: | ||
| || | | || | ||
|- | |- | ||
| scientific notation || significant figures; multiplication; exponentiation | |||
| 科学计数法 || | |||
| kēxué jìshù fǎ || | |||
| wissenschaftliche Notation || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| significant figures, significant digits || rounding | |||
| 有效数字,有效数位 || | |||
| yǒuxiào shùzì, yǒuxiào shùwèi || | |||
| signifikante Stellen [f pl], signifikante Ziffern [f pl] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| square number, perfect square || integer; square <algebra> | |||
| || | | || | ||
| || | | || | ||
Line 1,018: | Line 934: | ||
| || | | || | ||
| || | | || | ||
| || | |||
|- | |||
| symbol || | |||
| 符号 || | |||
| fúhào || | |||
| Symbol [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| tally marks, hash marks || unary system; addition | |||
| 计数符号 || | |||
| jìshù fúhào || | |||
| Strichliste [f] || | |||
| || | | || | ||
| || | | || | ||
Line 1,041: | Line 956: | ||
| || | | || | ||
|- | |- | ||
| | | Trachtenberg system || multiplication | ||
| | | 特拉亨伯格速算系統 || | ||
| | | Tèlāhēngbégé sùsuàn xìtǒng || | ||
| | | Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | unit fraction || fraction | ||
| | | 单位分数 || | ||
| | | dānwèi fēnshù || | ||
| | | Stammbruch [m] || | ||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic || prime number | ||
| | | 正整数的唯一分解定理,算术基本定理 || | ||
| | | zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ || | ||
| | | Fundamentalsatz [m] der Arithmetik [f] || | ||
| | | || | ||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | zero || number (abstract idea) | ||
| | | 零 || | ||
| | | líng || | ||
| | | Null [f] || | ||
| | | || | ||
| || | |||
| | |||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|} | |||
{| class="wikitable sortable" | |||
|+ analog computer | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیشنیاز | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| analog computer || basic operation; logarithm; exponentiation | |||
| 模拟计算机 || | |||
| mónǐ jìsuànjī || | |||
| Analogrechner [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | رایانه قیاسی || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,151: | Line 1,038: | ||
| || | | || | ||
|- | |- | ||
| | | abacus || mechanical calculator | ||
| | | 算盘 || | ||
| | | suàn pan || | ||
| | | Abakus [m] || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| چُرتکه || | |||
| || | | || | ||
|- | |||
| mechanical calculator, calculating machine || basic operation | |||
| 机械计算器 || | |||
| jīxiè jìsuànqì || | |||
| Rechenmaschine [f] || | |||
| calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique || | |||
| 機械式計算機 || | |||
| き↓かいしきけ↑いさ↓んき || | |||
| || | | || | ||
| вычисли́тельная маши́на, счётная маши́на || | |||
|- | |- | ||
| | | Pascal's calculator, arithmetic machine, Pascaline || machine calculator | ||
| | | 滚轮式加法器,帕斯卡计算器 || | ||
| | | gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì || | ||
| | | Pascaline [f] || | ||
| pascaline [f], machine [f] d’arithmétique, roue [f] pascaline || | |||
| パスカリン || | |||
| パ↑スカ↓リン || | |||
| || | |||
| суммирующая машина Паска́ля, Паскали́на || | |||
|- | |||
| nomogram, nomograph || analog computer | |||
| 列线图,诺谟图 || | |||
| lièxiàn tú, nuòmò tú || | |||
| Nomogramm [n], Nomographie [f] || | |||
| || | | || | ||
| || | | || | ||
Line 1,171: | Line 1,078: | ||
| || | | || | ||
|- | |- | ||
| | | slide rule || analog computer | ||
| | | 计算尺 || | ||
| | | jìsuàn chǐ || | ||
| | | Rechenschieber [m], Rechenstab [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,184: | Line 1,091: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,190: | Line 1,096: | ||
| || | | || | ||
| || | | || | ||
|} | |||
{| class="wikitable sortable" | |||
|+ arithmetic operation | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیشنیاز | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| | | arithmetic operation || binary operation | ||
| || | | || | ||
| || | | || | ||
Line 1,200: | Line 1,116: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,221: | Line 1,130: | ||
| || | | || | ||
|- | |- | ||
| | | addend, summand || addition; operand <mathematical logic> | ||
| | | 加数 || | ||
| | | jiā shù || | ||
| Summand [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| جَمع وند، عامل جَمع || | |||
| || | | || | ||
|- | |- | ||
| | | addition || number (abstract idea); binary operation <mathematical logic> | ||
| | | 加法 || | ||
| | | jiā fǎ || | ||
| | | Addition [f] || | ||
| | | addition [f] || | ||
| || | | || | ||
| || | | || | ||
| جَمع || | |||
| || | | || | ||
|- | |- | ||
| | | augend || addition; operand <mathematical logic> | ||
| | | 被加数 || | ||
| | | bèijiā shù || | ||
| erster Summand || | |||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| مُوَلِفه دُوم جَمع اَعداد || | |||
| || | | || | ||
|- | |- | ||
| | | base (exponentiation) || exponentiation | ||
| | | 底数(指数),基数(指数) || | ||
| | | dǐshù (zhǐshù), jīshù (zhǐshù) || | ||
| | | Basis [f] (Exponentiation) || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| پایه (تَوان) || | |||
| || | | || | ||
|- | |- | ||
| base (logarithm) || logarithm | |||
| 底数(对数),基数(对数) || | |||
| dǐ shù (duì shù), jī shù (duì shù) || | |||
| Basis [f] (Logarithmus) || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| پایه (عَدَد لُگاریتمی) || | |||
| || | | || | ||
|- | |||
| binary logarithm || logarithm | |||
| 以二为底的对数 || | |||
| yǐ èr wéi dǐ de duìshù || | |||
| binärer Logarithmus, dualer Logarithmus || | |||
| logarithme [m] binaire || | |||
| || | | || | ||
| || | | || | ||
| لُگاریتم باینِری، لُگاریتم دو دویی || | |||
| || | |||
|- | |||
| basic operation || addition; division; multiplication; subtraction | |||
| 四则运算 || | |||
| sìzé yùnsuàn || | |||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | چهار عَمَل اَصلی || | ||
| || | |||
| | |||
|- | |- | ||
| division || number (abstract idea); binary operation <mathematical logic> | |||
| 除法 || | |||
| chú fǎ || | |||
| Division [f] || | |||
| division [f] || | |||
| || | | || | ||
| || | | || | ||
| تَقسیم || | |||
| || | | || | ||
| | |- | ||
| | | exponentiation || number (abstract idea); binary operation <mathematical logic> | ||
| 幂运算,指数运算 || | |||
| mì yùnsuàn, zhǐshù yùnsuàn || | |||
| Potenz [f] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| تَوان || | |||
| || | | || | ||
|- | |- | ||
| decimal logarithm, common logarithm || logarithm | |||
| 常用对数 || | |||
| chángyòng duìshù || | |||
| dekadischer Logarithmus, Zehnerlogarithmus [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| لُگاریتم بَر پایه دَه || | |||
| || | |||
|- | |||
| degree || nth root | |||
| 次方根 || | |||
| cìfāng gēn || | |||
| Wurzelgrad [m] || | |||
| degré [m] || | |||
| || | | || | ||
| || | | || | ||
| دَرَجه || | |||
| || | | || | ||
|- | |||
| difference || subtraction | |||
| 差 || | |||
| chā || | |||
| Differenz [f] || | |||
| différence [f] || | |||
| || | | || | ||
| || | | || | ||
| تَفاضُل || | |||
| || | | || | ||
|- | |- | ||
| | | dividend || fraction; operand <mathematical logic> | ||
| | | 被除数 || | ||
| | | bèichú shù || | ||
| | | Dividend [m] || | ||
| | | dividende [m] || | ||
| || | | || | ||
| || | | || | ||
| | | مَقسوم || | ||
| || | | || | ||
|- | |- | ||
| | | division by zero || division; zero | ||
| chú | | 除以零 || | ||
| Division [f] || | | chú yǐ líng || | ||
| Division [f] durch Null || | |||
| division [f] || | | division [f] par zéro || | ||
| || | | || | ||
| || | | || | ||
| تَقسیم | | تَقسیم بَر صِفر || | ||
| || | | || | ||
|- | |- | ||
| division with remainder, Euclidean division || division | |||
| 带余除法,欧几里德除法 || | | 带余除法,欧几里德除法 || | ||
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ || | | dàiyú chúfǎ, Ōujīlǐdé chúfǎ || | ||
| Division [f] mit Rest | | Division [f] mit Rest || | ||
| || | | || | ||
| || | | || | ||
Line 1,344: | Line 1,280: | ||
| || | | || | ||
|- | |- | ||
| | | divisor || division; operand <mathematical logic> | ||
| | | 除数 || | ||
| | | chú shù || | ||
| | | Divisor [m] || | ||
| diviseur [m] || | |||
| || | | || | ||
| || | | || | ||
| مَقسوم عَلیه || | |||
| || | | || | ||
|- | |- | ||
| | | exponent || exponentiation | ||
| | | 幂,指数 || | ||
| | | mì, zhǐ shù || | ||
| | | Hochzahl [f], Exponent [m] || | ||
| exposant [m] || | |||
| || | |||
| || | |||
| نَما، قُوه، تَوان || | |||
| || | | || | ||
|- | |||
| logarithm || number (abstract idea); binary operation <mathematical logic> | |||
| 对数 || | |||
| duì shù || | |||
| Logarithmus [m] || | |||
| logarithme [m] || | |||
| || | | || | ||
| || | | || | ||
Line 1,364: | Line 1,310: | ||
| || | | || | ||
|- | |- | ||
| | | minuend || subtraction | ||
| | | 被减数 || | ||
| | | bèijiǎn shù || | ||
| | | Minuend [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,374: | Line 1,320: | ||
| || | | || | ||
|- | |- | ||
| | | multiplicand || multiplication; operand <mathematical logic> | ||
| | | 被乘数 || | ||
| | | bèichéng shù || | ||
| | | Multiplikand [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,384: | Line 1,330: | ||
| || | | || | ||
|- | |- | ||
| | | multiplication || number (abstract idea); binary operation <mathematical logic> | ||
| | | 乘法 || | ||
| | | chéng fǎ || | ||
| Multiplikation [f] || | |||
| || | | || | ||
| || | | || | ||
Line 1,394: | Line 1,340: | ||
| || | | || | ||
|- | |- | ||
| multiplier || multiplication; operand <mathematical logic> | |||
| 乘数 || | |||
| chéng shù || | |||
| Multiplikator [m] || | |||
| || | | || | ||
| || | | || | ||
Line 1,399: | Line 1,349: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | natural logarithm || Euler's number; logarithm | ||
| | | 自然对数 || | ||
| | | zìrán duìshù || | ||
| | | natürlicher Logarithmus || | ||
| || | | || | ||
| || | | || | ||
Line 1,427: | Line 1,360: | ||
| || | | || | ||
|- | |- | ||
| nth root || binary operation <mathematical logic> | |||
| 次方根 || | |||
| cìfāng gēn || | |||
| Wurzel [f] , Radikal [n] || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| product || multiplication | |||
| 积 || | |||
| jī || | |||
| Produkt [n] || | |||
| || | | || | ||
| || | | || | ||
Line 1,437: | Line 1,380: | ||
| || | | || | ||
|- | |- | ||
| | | quotient || division | ||
| | | 商 || | ||
| | | shāng || | ||
| | | Quotient [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,447: | Line 1,390: | ||
| || | | || | ||
|- | |- | ||
| | | root || nth root | ||
| | | 根 || | ||
| | | gēn || | ||
| | | Wurzel [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,457: | Line 1,400: | ||
| || | | || | ||
|- | |- | ||
| | | root extraction || nth root | ||
| | | 开方 || | ||
| | | kāi fāng || | ||
| | | Radizieren [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,467: | Line 1,410: | ||
| || | | || | ||
|- | |- | ||
| | | subtraction || number (abstract idea); binary operation <mathematical logic> | ||
| | | 减法 || | ||
| | | jiǎn fǎ || | ||
| | | Subtraktion [f], Abziehen [n], Abzug [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,477: | Line 1,420: | ||
| || | | || | ||
|- | |- | ||
| | | subtrahend || subtraction | ||
| | | 减数 || | ||
| | | jiǎn shù || | ||
| | | Subtrahend [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,487: | Line 1,430: | ||
| || | | || | ||
|- | |- | ||
| sum || addition | |||
| 和 || | |||
| hé || | |||
| Summe [f] || | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| zero to the power of zero || zero; exponentiation | |||
| || | | || | ||
| || | | || | ||
Line 1,496: | Line 1,447: | ||
| || | | || | ||
| || | | || | ||
|} | | || | ||
| || | |||
{| class="wikitable sortable" | |- | ||
|+ | | || | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | | || | ||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
{| class="wikitable sortable" | |||
|+ number system | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,510: | Line 1,473: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | number system || | ||
| || | | || | ||
| || | | || | ||
Line 1,529: | Line 1,483: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,557: | Line 1,492: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| algebraic number || complex number; root <algebra> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,581: | Line 1,503: | ||
| || | | || | ||
|- | |- | ||
| complex number || imaginary number; real number | |||
| 复数 || | |||
| fù shù || | |||
| komplexe Zahl || | |||
| nombre [m] complexe || | |||
| || | | || | ||
| || | | || | ||
| اَعدادِ مُختَلِط || | |||
| || | | || | ||
|- | |||
| composite number || division; natural number | |||
| 合数,合成数 || | |||
| hé shù, héchéng shù || | |||
| zusammengesetzte Zahl || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | عَدَد مُرَکَب، عَدَد غِیر اَول || | ||
| || | | || | ||
|- | |- | ||
| | | fraction || division; integer | ||
| | | 分数 || | ||
| | | fēn shù || | ||
| | | Bruch [m] || | ||
| fraction [f] || | |||
| | |||
| || | | || | ||
| || | | || | ||
| کَسر || | |||
| || | | || | ||
|- | |- | ||
| | | imaginary number || negative number; exponentiation | ||
| | | 虚数 || | ||
| | | xū shù || | ||
| | | imaginäre Zahl || | ||
| nombre [m] imaginaire || | |||
| || | |||
| || | | || | ||
| || | |||
| || | |||
|- | |||
| integer || natural number; negative number | |||
| 整数 || | |||
| zhěng shù || | |||
| Ganzzahl [f], ganze Zahl || | |||
| entier || | |||
| || | | || | ||
| || | | || | ||
Line 1,621: | Line 1,553: | ||
| || | | || | ||
|- | |- | ||
| irrational number || rational number; real number | |||
| 无理数 || | |||
| wúlǐ shù || | |||
| irrationale Zahl || | |||
| || | | || | ||
| || | | || | ||
Line 1,626: | Line 1,562: | ||
| || | | || | ||
| || | | || | ||
|- | |||
| natural number, counting number || number (abstract idea) | |||
| 自然数 || | |||
| zìrán shù || | |||
| natürliche Zahl || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
|- | |||
| prime number, prime || product; natural number | |||
| | | 质数,素数 || | ||
| zhì shù, sù shù || | |||
| Primzahl [f] || | |||
| || | |||
| || | |||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| number | |- | ||
| rational number || fraction; integer | |||
| 有理数 || | |||
| yǒulǐ shù || | |||
| rationale Zahl || | |||
| || | | || | ||
| || | | || | ||
Line 1,654: | Line 1,593: | ||
| || | | || | ||
|- | |- | ||
| real number || rational number | |||
| 实数 || | |||
| shí shù || | |||
| reelle Zahl || | |||
| || | | || | ||
| || | | || | ||
Line 1,659: | Line 1,602: | ||
| || | | || | ||
| || | | || | ||
|- | |||
| transcendental number || algebraic number | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
|- | |||
| || | |||
| || | | || | ||
| || | | || | ||
Line 1,673: | Line 1,619: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|} | |||
{| class="wikitable sortable" | |||
|+ numeral system | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیشنیاز | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| | | numeral system || notation | ||
| | | 数制,记数系统,记数法 || | ||
| | | shù zhì, jìshù xìtǒng, jìshù fǎ || | ||
| | | Zahlensystem [n] || | ||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,724: | Line 1,656: | ||
| || | | || | ||
|- | |- | ||
| | | binary system || numeral system | ||
| | | 二进制 || | ||
| | | èr jìnzhì || | ||
| | | Dualsystem [n], Zweiersystem [n], Binärsystem [n] || | ||
| système [m] binaire || | |||
| || | | || | ||
| || | |||
| سیستِم باینِری || | |||
| || | |||
|- | |||
| decimal, base-ten || integer | |||
| 十进制 || | |||
| shíjìn zhì || | |||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| دِسیمال، اَعداد بَر پایه دَه || | |||
| || | | || | ||
|- | |- | ||
| | | hexadecimal, base 16, hex || numeral system | ||
| | | 十六进制 || | ||
| | | shíliù jìnzhì || | ||
| | | Hexadezimalsystem [n], Sedezimalsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,744: | Line 1,686: | ||
| || | | || | ||
|- | |- | ||
| | | octal, oct || numeral system | ||
| | | 八进制 || | ||
| | | bā jìnzhì || | ||
| | | Oktalsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,754: | Line 1,696: | ||
| || | | || | ||
|- | |- | ||
| | | unary system || numeral system | ||
| | | 一进制 || | ||
| | | yī jìnzhì || | ||
| | | Unärsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,764: | Line 1,706: | ||
| || | | || | ||
|- | |- | ||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
Line 1,796: | Line 1,718: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ | |+ rounding | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,807: | Line 1,729: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | rounding || decimal representation | ||
| | | 数值修约 || | ||
| | | shùzhí xiūyuē || | ||
| | | Rundung [f], Runden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,827: | Line 1,749: | ||
| || | | || | ||
|- | |- | ||
| | | direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero | ||
| | | 无条件简化 || | ||
| | | wútiáojiàn jiǎnhuà || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| | | رُند کَردن || | ||
| || | | || | ||
|- | |- | ||
| | | rounding away from zero, rounding towards infinity || rounding | ||
| | | 向无穷取整 || | ||
| | | xiàng wúqióng qǔzhěng || | ||
| | | Wegrunden [n] von Null || | ||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | rounding down, rounding towards negative infinity || rounding | ||
| | | 向下取整 || | ||
| | | xiàng xià qǔzhěng || | ||
| | | Abrunden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,857: | Line 1,779: | ||
| || | | || | ||
|- | |- | ||
| | | rounding towards zero, rounding away from infinity || rounding | ||
| | | 向零取整 || | ||
| | | xiàng líng qǔzhěng || | ||
| | | Runden [n] gegen Null || | ||
| || | | || | ||
| || | | || | ||
Line 1,867: | Line 1,789: | ||
| || | | || | ||
|- | |- | ||
| | | rounding up, rounding towards positive infinity || rounding | ||
| | | 向上取整 || | ||
| | | xiàng shàng qǔzhěng || | ||
| | | Aufrunden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,889: | Line 1,811: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ | |+ sequence | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,900: | Line 1,822: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | sequence || object <mathematical logic> | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,920: | Line 1,842: | ||
| || | | || | ||
|- | |- | ||
| | | arithmetic progression, arithmetic sequence || sequence | ||
| | | || | ||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | geometric progression. geometric sequence || sequence | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,939: | Line 1,860: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,960: | Line 1,872: | ||
| || | | || | ||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,982: | Line 1,894: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ | |+ theorem about prime numbers | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,993: | Line 1,905: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| theorem about prime numbers || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,013: | Line 1,925: | ||
| || | | || | ||
|- | |- | ||
| Bertrand's postulate || prime number | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,042: | Line 1,944: | ||
| || | | || | ||
| || | | || | ||
|} | |||
=== Algebraic Number Theory === | |||
{| class="wikitable sortable" | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| || | | || | ||
| || | | || | ||
Line 2,053: | Line 1,966: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
Line 2,064: | Line 1,976: | ||
|} | |} | ||
=== Analytic Number Theory === | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
Line 2,079: | Line 1,990: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,086: | Line 1,996: | ||
| || | | || | ||
|- | |- | ||
| | | prime-counting function || prime number; function <mathematical logic> | ||
| || | | || | ||
| || | | || | ||
Line 2,099: | Line 2,008: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,105: | Line 2,013: | ||
| || | | || | ||
| || | | || | ||
|} | |||
|} | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorems in analytic number theory | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 2,128: | Line 2,026: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | theorems in analytic number theory || | ||
| || | | || | ||
| || | | || | ||
Line 2,145: | Line 2,043: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | prime number theorem || prime number; asymptotic analysis | ||
| || | | || | ||
| || | | || | ||
Line 2,170: | Line 2,056: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|} | |||
|} | |||
== Appendix == | |||
=== Sentence === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 2,200: | Line 2,079: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| A is greater than B. || inequality <mathematical logic> | |||
| 甲大于乙。 || | |||
| Jiǎ dà yú Yǐ. || | |||
| A ist größer als B. || | |||
| A est supérieur à B. || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| A is greater than or equal to B. || inequality <mathematical logic> | |||
| 甲大于等于乙。 || | |||
| Jiǎ dàyú děngyú Yǐ. || | |||
| A ist größer als oder gleich B. || | |||
| A est supérieur ou égal à B. || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| A is less than B. || inequality <mathematical logic> | |||
| 甲小于乙。 || | |||
| Jiǎ xiǎo yú Yǐ. || | |||
| A ist kleiner als B. || | |||
| A est inférieur à B. || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| A is less than or equal to B. || inequality <mathematical logic> | |||
| 甲小于等于乙。 || | |||
| Jiǎ xiǎoyú děngyú Yǐ. || | |||
| A ist kleiner als oder gleich B. || | |||
| A est inférieur ou égal à B. || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| A is much greater than B. || inequality <mathematical logic> | |||
| 甲远大于乙。 || | |||
| Jiǎ yuǎn dàyú Yǐ. || | |||
| A ist viel größer als B. || | |||
| A est beaucoup plus grand que B. || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| A is much less than B. || inequality <mathematical logic> | |||
| 甲远小于乙。 || | |||
| Jiǎ yuǎn xiǎoyú Yǐ. || | |||
| A ist viel weniger als B. || | |||
| A est beaucoup plus petit que B. || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Symbol === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! symbol | |||
! eng-Latn-US: concept | |||
! cmn-Hans-CN: 概念 | |||
! cmn-Latn.Pinyin-CN: gàiniàn | |||
! deu-Latn-DE: Begriff [m] | |||
! fra-Latn-FR: concept [m] | |||
! jpn-Jpan-JP: 概念 | |||
! jpn-Hrkt-JP: が↓いねん | |||
! rus-Cyrl-RU: конце́пция | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| + | |||
| addition; positive number | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| - | |||
| subtraction; negative number | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| × | |||
| multiplication | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| ÷ | |||
| division | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| % | |||
| percent | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| √ | |||
| root | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| < | |||
| less than | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| > | |||
| greater than | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| ≤ | |||
| less than or equal to | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| ≥ | |||
| greater than or equal to | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| ≡ | |||
| congruent modulo | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| ∞ | |||
| infinity | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| E, e | |||
| E notation | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| e | |||
| Euler's number | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| lg | |||
| decimal logarithm | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| log | |||
| logarithm | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| ln | |||
| natural logarithm | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|} | |||
=== Process === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! eng-Latn-US: process !! eng-Latn-US: constituent | |||
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | |||
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | |||
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | |||
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | |||
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 | |||
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい | |||
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| addition || augend; addend; sum | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| division || dividend; divisor; quotient | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| multiplication || multiplicand; multiplier; product | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| subtraction || minuend; subtrahend; difference | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| division with remainder || dividend; divisor; quotient; remainder | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Resource under a Public License === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! name | |||
! language | |||
! link | |||
|- | |||
| | |||
| | |||
| | |||
|- | |||
| gbrainy | |||
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| https://wiki.gnome.org/Apps/gbrainy | |||
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{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} | ||