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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,算術 || | |||
| さ↑んす↓う,さ↑んじゅつ || | |||
| 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 || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
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|- | |} | ||
| | |||
| | == 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 | |||
|- | |||
| || | |||
| || | |||
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|- | |- | ||
| | | 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 || | ||
|- | |- | ||
| | | basic operation || addition; division; multiplication; subtraction | ||
| | | 四则运算 || | ||
| | | sìzé yùnsuàn || | ||
| | | Grundrechnungsarten [f pl], Grundrechenarten [f pl] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| | | چهار عَمَل اَصلی || | ||
| || | | || | ||
|- | |- | ||
| | | 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 || | |||
| || | | || | ||
|- | |- | ||
| | |- | ||
| | | 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 || | ||
| | | gòng'è fùshù || | ||
| | | komplexe Konjugation || | ||
| | | conjugué [m] || | ||
| | | 複素共役 || | ||
| | | ふ↑くそきょ↓うやく || | ||
| | | || | ||
| | | сопряжённые чи́сла || | ||
|- | |- | ||
| | | constant || number (abstract idea) | ||
| | | 常数,定数 || | ||
| | | cháng shù, dìng shù || | ||
| | | Konstante [f], Festwert [m] || | ||
| | | constante [f] || | ||
| | | 定数,常数 || | ||
| | | て↑いす↓う,じょ↑うす↓う || | ||
| | | ثابِت || | ||
| | | постоя́нная, конста́нта || | ||
|- | |- | ||
| | | continued fraction || integer part; multiplicative inverse | ||
| | | 连分数,繁分数 || | ||
| | | lián fēnshù, fán fēnshù || | ||
| | | Kettenbruch [m] || | ||
| | | fraction [f] continue || | ||
| | | 連分数 || | ||
| | | れ↑んぶ↓んすう || | ||
| | | || | ||
| | | непреры́вная дробь [ж], цепна́я дробь [ж] || | ||
|- | |- | ||
| | | coprime numbers, relatively prime numbers, mutually prime numbers || prime number; divisor | ||
| | | 互质数 || | ||
| | | hùzhì shù || | ||
| | | teilerfremde Zahlen [f pl] || | ||
| | | nombres [m pl] premiers entre eux || | ||
| | | 互いに素 || | ||
| | | た↑がいに↓そ || | ||
| || | | || | ||
| | | взаи́мно просты́е чи́сла || | ||
|- | |- | ||
| | | counting rods || basic operation | ||
| | | 算筹,算子 || | ||
| | | suàn chóu, suàn zǐ || | ||
| | | Zählstäbe [m pl] || | ||
| | | baguettes [f pl] à calculer || | ||
| | | 算木,算籌 || | ||
| | | さ↓んぎ,さん↓ちゅう || | ||
| میله های شُمارِش || | |||
| счётные па́лочки || | |||
|- | |||
| Cuisenaire rods || basic operations | |||
| 古氏积木 || | |||
| Gǔshì jīmù || | |||
| Cuisenaire-Stäbchen [n pl] || | |||
| réglettes [f pl] Cuisenaire || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | decimal fraction || decimal representation | ||
| | | 小数 || | ||
| | | xiǎo shù || | ||
| | | Dezimalbruch [m], Zehnerbruch [m] || | ||
| fraction | | fraction décimale || | ||
| | | 小数 || | ||
| | | しょ↑うす↓う || | ||
| | | || | ||
| | | десяти́чная дробь [ж] || | ||
| | | decimal logarithm, common logarithm || logarithm | ||
| | | 常用对数 || | ||
| | | chángyòng duìshù || | ||
| | | dekadischer Logarithmus, Zehnerlogarithmus [m] || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| لُگاریتم بَر پایه دَه || | |||
| || | | || | ||
|- | |- | ||
|- | |- | ||
| | | decimal representation || number (symbol) | ||
| | | 小数表示法 || | ||
| | | xiǎoshù biǎoshì fǎ || | ||
| | | Dezimaldarstellung [f] || | ||
| | | développement décimal || | ||
| | | 小数表記法 || | ||
| | | しょ↑うすうひょ↓うきほう || | ||
| | | نَمایِِش اَعشاری، نَمایش دَهدَهی || | ||
| | | десяти́чное представле́ние || | ||
|- | |||
| decimal separator || decimal representation; radix character | |||
| 小数点 || | |||
| xiǎoshù diǎn || | |||
| Dezimaltrennzeichen [n] || | |||
| séparateur décimal || | |||
| 小数点 || | |||
| しょ↑うす↓うてん || | |||
| مُمَیِِز || | |||
| десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я || | |||
|- | |- | ||
| | | digit || number (abstract idea); symbol | ||
| | | 数字(单个符号) || | ||
| | | shù zì (dāngè fúhào) || | ||
| | | Ziffer [f] || | ||
| | | chiffre [m] (symbole individuel) || | ||
| | | 数字(個々の符号) || | ||
| | | す↑うじ(こ↓このふ↑ごう) || | ||
| | | رَقَم || | ||
| | | ци́фра || | ||
|- | |- | ||
| | | direct proportionality || proportionality | ||
| | | 正比例 || | ||
| | | zhèng bǐlì || | ||
| | | direkte Proprotionalität || | ||
| | | proportionnalité directe || | ||
| | | 正比例 || | ||
| | | せ↑いひ↓れい || | ||
| || | | || | ||
| пряма́я пропорциона́льность [ж] || | |||
|- | |- | ||
| | | Diophantine approximation || real number | ||
| | | 丢番图逼近 || | ||
| | | Diūfāntú bījìn || | ||
| | | diophantische Approximation || | ||
| | | approximation diophantienne || | ||
| ディオファントス近似 || | |||
| ディ↑オファントスき↓んじ || | |||
| || | | || | ||
| диофа́нтово приближе́ние || | |||
|- | |||
| division by zero || division; zero | |||
| 除以零 || | |||
| chú yǐ líng || | |||
| Division [f] durch Null || | |||
| division [f] par zéro || | |||
| || | | || | ||
| || | | || | ||
| | | تَقسیم بَر صِفر || | ||
| || | | || | ||
|- | |- | ||
| | | Egyptian fraction || unit fraction | ||
| | | 埃及分数 || | ||
| | | Āijí fēnshù || | ||
| | | Stammbruchzerlegung [f] || | ||
| | | fraction égyptienne || | ||
| | | エジプト式分数,エジプト分数 || | ||
| | | エ↑ジプトしきぶ↓んすう,エ↑ジプトぶ↓んすう || | ||
| کَسر مِصری || | |||
| еги́петская дробь || | |||
|- | |||
| engineering notation || scientific notation | |||
| 工程计数法 || | |||
| gōngchéng jìshù fǎ || | |||
| technische Notation || | |||
| notation [f] ingénieur || | |||
| || | | || | ||
| || | | || | ||
| | | نَماد مُهَندِسی || | ||
| инжене́рная нота́ция || | |||
|- | |- | ||
| | | Euclid's lemma || prime number | ||
| | | 欧几里得引理 || | ||
| | | Ōujīlǐdé yǐnlǐ || | ||
| | | Lemma [n] von Euklid || | ||
| | | lemme [m] d'Euclide || | ||
| | | ユークリッドの補題 || | ||
| | | ユ↑ークリ↓ッドのほ↑だい || | ||
| | | لِم اُقلیدُس، بُرهانِ کُمَکی اُقلیدُس || | ||
| | | ле́мма Евкли́да || | ||
|- | |- | ||
| | | Euler's number, e || constant | ||
| | | 自然常数,自然底数,欧拉常数 || | ||
| | | zìrán chángshù, zìrán dǐshù, Ōulā chángshù || | ||
| | | eulersche Zahl || | ||
| | | 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↓すう,オ↑イラ↓ーすう || | ||
| عَدَد اویلِر || | |||
| число́ Э́йлера, число́ e || | |||
|- | |||
| even number || natural number; division | |||
| 偶数 || | |||
| ǒu shù || | |||
| gerade Zahl || | |||
| nombre pair || | |||
| 偶数 || | |||
| ぐ↑うす↓う || | |||
| عَدَد زوج || | |||
| чётное число́ || | |||
|- | |||
| finger binary || addition; subtraction; binary system | |||
| 二进制指算法 || | |||
| èrjìnzhì zhǐsuànfǎ || | |||
| binär zählen mit Fingern [m pl] || | |||
| || | | || | ||
| | | 二進指数え法 || | ||
| | | に↑しんゆびかぞえほ↓う || | ||
| مُحاسِبه اَنگُشتی باینِری، مُحاسِبه اَنگُشتی دودویی || | |||
| | |||
| || | | || | ||
|- | |- | ||
| | | factorization, factoring || mathematical object <mathematical logic> | ||
| | | 因式分解 || | ||
| | | yīnshì fēnjiě || | ||
| | | Faktorisierung [f] || | ||
| | | factorisation [f] || | ||
| | | || | ||
| | | || | ||
| فاکتورسازی || | |||
| || | | || | ||
|- | |- | ||
| | | finite continued fraction, terminated continued fraction || continued fraction; infinity | ||
| | | 有限连分数 || | ||
| | | yǒuxiàn liánfēnshù || | ||
| | | endlicher Kettenbruch || | ||
| | | fraction continue finie || | ||
| | | 有限連分数 || | ||
| | | ゆ↑うげんれんぶ↓んすう || | ||
| || | | || | ||
| | | коне́чная цепна́я дробь [ж] || | ||
|- | |- | ||
| | | golden ratio || ratio; addition; root extraction | ||
| | | 黄金比例,黄金分割率,黄金分割比 || | ||
| | | huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ || | ||
| | | Goldener Schnitt || | ||
| | | nombre [m] d'or [m], section dorée, proportion dorée || | ||
| | | 黄金比 || | ||
| | | お↑うご↓んひ || | ||
| || | | || | ||
| | | 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 || | ||
| | | zuìdà gōngyīnshù, zuìdà gōngyuēshù || | ||
| | | größter gemeinsamer Teiler || | ||
| | | plus grand commun diviseur || | ||
| | | 最大公約数 || | ||
| | | さ↑いだいこうやく↓すう || | ||
| || | | || | ||
| | | наибо́льшим о́бщим дели́телем || | ||
|- | |- | ||
| | | imaginary unit, unit imaginary number || imaginary number | ||
| | | 虚数单位 || | ||
| | | xūshù dānwèi || | ||
| | | imaginäre Einheit || | ||
| | | unité imaginaire || | ||
| | | 虚数単位 || | ||
| | | きょ↑すうた↓んい || | ||
| || | | || | ||
| | | мни́мая едини́ца || | ||
|- | |- | ||
| | | improper fraction || fraction | ||
| | | 假分数 || | ||
| | | jiǎ fēnshù || | ||
| | | unechter Bruch, uneigentlicher Bruch || | ||
| | | fraction impropre || | ||
| | | 仮分数 || | ||
| | | か↑ぶ↓んすう || | ||
| || | | || | ||
| | | непра́вильные дро́би || | ||
|- | |- | ||
| | | infinite continued fraction || continued fraction; infinity | ||
| | | 无限连分数 || | ||
| | | wúxiàn liánfēnshù || | ||
| | | unendlicher Kettenbruch || | ||
| | | fraction continue infinie || | ||
| | | 無限連分数 || | ||
| | | む↑げんれんぶ↓んすう || | ||
| || | | || | ||
| | | бесконе́чная цепна́я дробь [ж] || | ||
|- | |- | ||
| | | infinity || number (abstract idea) | ||
| | | 无穷 || | ||
| | | wú qióng || | ||
| | | Unendlichkeit [f] || | ||
| | | infini [m] || | ||
| | | 無限 || | ||
| | | む↑げん || | ||
| || | | || | ||
| | | бесконе́чность || | ||
|- | |- | ||
| | | inverse function, anti-function || function <mathematical logic>; inverse mapping | ||
| | | 反函数 || | ||
| | | fǎn hánshù || | ||
| | | Umkehrfunktion [f], inverse Funktion || | ||
| | | fonction [f] réciproque || | ||
| || | | || | ||
| | | 逆函数 || | ||
| ぎゃ↑くか↓んすう || | |||
| обра́тная фу́нкция || | |||
|- | |- | ||
| | | inverse mapping || mapping | ||
| | | 逆映射 || | ||
| | | nì yìngshè || | ||
| | | inverse Abbildung, Umkehrabbildung [f] || | ||
| | | bijection [f] réciproque || | ||
| | | 逆写像 || | ||
| | | ぎゃ↑くしゃ↓ぞう || | ||
| || | | || | ||
| | | обра́тное отображе́ние || | ||
|- | |- | ||
| | | inverse proportionality || proportionality | ||
| | | 反比例 || | ||
| | | fǎn bǐlì || | ||
| | | umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität || | ||
| | | proportionnalité inverse || | ||
| | | 反比例 || | ||
| | | は↑んぴれい || | ||
| || | | || | ||
| | | обра́тная пропорциона́льность || | ||
|- | |- | ||
| | | irreducible fraction, fraction in lowest terms, simplest form, reduced fraction || fraction; coprime integer | ||
| | | 最简分数,既约分数 || | ||
| | | zuìjiǎn fēnshù, jìyuē fēnshù || | ||
| | | gekürzter Bruch || | ||
| | | fraction [f] irréductible || | ||
| | | 既約分数 || | ||
| | | き↑やくぶ↓んすう || | ||
| || | | || | ||
| | | несократи́мая дробь || | ||
|- | |- | ||
| | | least common denominator, lowest common denominator || least common multiple | ||
| | | 最小公分母 || | ||
| | | zuìxiǎo gōngfēnmǔ || | ||
| | | Hauptnenner [m] || | ||
| | | plus petit dénominateur commun || | ||
| | | 最小公分母 || | ||
| | | さ↑いしょうこうぶ↓んぼ || | ||
| || | | || | ||
| | | наиме́ньший о́бщий знамена́тель || | ||
|- | |- | ||
| | | least common multiple, lowest common multiple, smallest common multiple || integer; division; denominator | ||
| | | 最小公倍数 || | ||
| | | zuìxiǎo gōngbèishù || | ||
| | | kleinstes gemeinsames Vielfaches || | ||
| | | plus petit commun multiple, plus petit multiple commun || | ||
| | | 最小公倍数 || | ||
| | | さ↑いしょうこうば↓いすう || | ||
| || | | || | ||
| | | наиме́ньшее о́бщее кра́тное || | ||
|- | |- | ||
| | | long division || division | ||
| | | 长除法 || | ||
| | | cháng chúfǎ || | ||
| | | Standardmethode [f] der schriftlichen Division [f] || | ||
| | | division posée || | ||
| | | 長除法 || | ||
| | | ちょ↑うじょほう || | ||
| || | | || | ||
| | | деле́ние сто́лбиком || | ||
|- | |- | ||
| | | mixed number || fraction | ||
| | | 带分数 || | ||
| | | dài fēnshù || | ||
| | | gemischte Zahl || | ||
| nombre [m] | | nombre [m] mixte || | ||
| | | 帯分数 || | ||
| | | た↑いぶ↓んすう || | ||
| || | | || | ||
| | | сме́шанное число́ || | ||
|- | |- | ||
| | | modular arithmetic || integer | ||
| | | 模算术 || | ||
| | | mó suànshù || | ||
| | | Modulararithmetik [f] || | ||
| | | arithmétique [f] modulaire || | ||
| | | 合同算術 || | ||
| | | ご↑うどうさ↓んじゅつ || | ||
| || | | || | ||
| | | мо́дульную арифме́тику, модуля́рную арифметику || | ||
|- | |- | ||
| | | multiplication table || multiplication | ||
| | | 乘法表 || | ||
| | | chéngfǎ biǎo || | ||
| | | Einmaleins [n] || | ||
| | | table [f] de multiplication || | ||
| | | 九九 || | ||
| | | く↓く || | ||
| || | | || | ||
| | | табли́ца умноже́ния, табли́ца Пифаго́ра || | ||
|- | |- | ||
| | | multiplicative inverse, reciprocal || multiplication; reciprocation | ||
| | | 乘法逆元,倒数 || | ||
| | | chéngfǎ nìyuán, dào shù || | ||
| | | Kehrwert [m], reziprokes Wert, Reziproke [n] || | ||
| | | inverse [m] || | ||
| | | 逆数 || | ||
| | | ぎゃ↑くす↓う || | ||
| || | | || | ||
| число́ | | обра́тное число́ || | ||
|- | |- | ||
| | | Napier's rods, Napier's bones || lattice multiplication | ||
| | | 纳皮尔筹 || | ||
| | | Nàpí'ěr chóu || | ||
| | | Napiersche Rechenstäbchen, Nepersche Rechenstäbchen || | ||
| | | bâton [m] de Napier, réglette [f] de Neper || | ||
| | | ネイピアの骨 || | ||
| | | ネ↓イピアのほ↑ね || | ||
| || | | || | ||
| | | па́лочки Не́пера, не́перовы па́лочки || | ||
|- | |- | ||
| | | natural logarithm || Euler's number; logarithm | ||
| | | 自然对数 || | ||
| | | zìrán duìshù || | ||
| | | natürlicher Logarithmus || | ||
| | | logarithme naturel, logarithme népérien || | ||
| | | 自然対数 || | ||
| | | し↑ぜんた↓いすう || | ||
| || | | || | ||
| | | натура́льный логари́фм || | ||
|- | |- | ||
| | | negative number || number (abstract idea) | ||
| | | 负数 || | ||
| | | fù shù || | ||
| | | negative Zahl || | ||
| | | nombre [m] négatif || | ||
| | | 負の数 || | ||
| | | ふ↓のすう || | ||
| || | | || | ||
| | | отрица́тельное число́ || | ||
|- | |- | ||
| | | non-negative number || negative number | ||
| | | 非负数 || | ||
| | | fēifù shù || | ||
| | | nichtnegative Zahl || | ||
| | | nombre [m] non négatif || | ||
| | | 負でない数 || | ||
| | | ふ↓で↑な↓いすう || | ||
| || | | || | ||
| | | неотрица́тельное число́ || | ||
|- | |- | ||
| | | non-positive number || positive number | ||
| | | 非正数 || | ||
| | | fēizhèng shù || | ||
| | | nichtpositive Zahl || | ||
| | | nombre [m] non positif || | ||
| | | 正でない数 || | ||
| | | せ↓いで↑な↓いすう || | ||
| || | | || | ||
| неположи́тельное число́ || | |||
|- | |||
| number (abstract identity) || mathematical object <mathematical logic> | |||
| 数 || | |||
| shù || | |||
| Zahl [f] (abstrakte Identität) || | |||
| nombre [m] || | |||
| 数 || | |||
| か↓ず || | |||
| || | | || | ||
| число́ (абстра́ктная иденти́чность [ж]) || | |||
|- | |- | ||
| | | number (symbol), numeral || digit | ||
| | | 数字(整个符号) || | ||
| | | shù zì (zhěnggè fúhào) || | ||
| | | Zahl [f] (Symbol) || | ||
| | | chiffre [m] (symbole entier) || | ||
| | | 数字 || | ||
| す↑うじ || | |||
| || | | || | ||
| число́ (си́мвол) || | |||
|- | |||
| number line || line <geometry> | |||
| 数轴,数线 || | |||
| shù zhóu, shù xiàn || | |||
| Zahlengerade [f], Zahlenstrahl [m] || | |||
| ligne [f] numérique || | |||
| 数直線 || | |||
| す↑うちょ↓くせん || | |||
| || | | || | ||
| числова́я ось, числова́я пряма́я || | |||
|- | |||
| 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] || | ||
| | | priorité [f] des opérations, ordre [m] des opérations || | ||
| | | 演算子の優先順位 || | ||
| | | え↑んざ↓んしのゆ↑うせんじゅ↓んい || | ||
| || | | || | ||
| приорите́т опера́ции, приорите́т опера́тора || | |||
|- | |||
| order of magnitude || logarithm | |||
| 数量级 || | |||
| shùliàng jí || | |||
| Größenordnung [f] || | |||
| ordre [m] de grandeur || | |||
| 桁 || | |||
| け↑た || | |||
| || | | || | ||
| поря́док величи́ны || | |||
|- | |- | ||
| | | parity || natural number | ||
| | | 奇偶性 || | ||
| | | jī'ǒu xìng || | ||
| | | Parität [f] || | ||
| || | | || | ||
| || | | || | ||
Line 697: | Line 677: | ||
| || | | || | ||
|- | |- | ||
| | | 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 707: | Line 687: | ||
| || | | || | ||
|- | |- | ||
| | | percentage || fraction | ||
| 百分数 || | |||
| bǎifēn shù || | |||
| | | Prozentsatz [m] || | ||
| | | || | ||
| | |||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| 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 727: | Line 707: | ||
| || | | || | ||
|- | |- | ||
| positive number || number (abstract idea) | |||
| 正数 || | |||
| zhèng shù || | |||
| positive Zahl || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| 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 | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| proportionality || proportion | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 737: | Line 747: | ||
| || | | || | ||
|- | |- | ||
| radix, base || positional notation | |||
| 底数(进制) || | | 底数(进制) || | ||
| dǐ shù (jìn zhì) || | | dǐ shù (jìn zhì) || | ||
| Basis [f] (Zahlensystem) || | | Basis [f] (Zahlensystem) || | ||
| || | | || | ||
| || | | || | ||
Line 747: | Line 757: | ||
| || | | || | ||
|- | |- | ||
| radix character || radix | |||
| 小数点 || | | 小数点 || | ||
| xiǎoshù diǎn || | | xiǎoshù diǎn || | ||
| Radixpunkt [m] || | | Radixpunkt [m] || | ||
| || | | || | ||
| || | | || | ||
Line 757: | Line 767: | ||
| || | | || | ||
|- | |- | ||
| ratio || number (abstract idea) | |||
| 比率,比值 || | | 比率,比值 || | ||
| bǐ lǜ, bǐ zhí || | | bǐ lǜ, bǐ zhí || | ||
| Verhältnis [n] || | | Verhältnis [n] || | ||
| || | | || | ||
| || | | || | ||
Line 767: | Line 777: | ||
| || | | || | ||
|- | |- | ||
| reciprocal function || function; multiplicative inverse | |||
| 互反函数 || | | 互反函数 || | ||
| hùfǎn hánshù || | | hùfǎn hánshù || | ||
| Reziprokfunktion [f], reziproke Funktion || | | Reziprokfunktion [f], reziproke Funktion || | ||
| || | | || | ||
| || | | || | ||
Line 777: | Line 787: | ||
| || | | || | ||
|- | |- | ||
| repeating decimal, recurring decimal || | |||
| 循环小数 || | | 循环小数 || | ||
| xúnhuán xiǎoshù || | | xúnhuán xiǎoshù || | ||
| periodische Dezimalzahlen [f pl] || | | periodische Dezimalzahlen [f pl] || | ||
| || | | || | ||
| || | | || | ||
Line 787: | Line 797: | ||
| || | | || | ||
|- | |- | ||
| parentheses || operator precedence | |||
| 圆括号,括弧号 || | | 圆括号,括弧号 || | ||
| yuán kuòhào, kuòhú hào || | | yuán kuòhào, kuòhú hào || | ||
| runde Klammern [f pl] || | | runde Klammern [f pl] || | ||
| || | | || | ||
| || | | || | ||
Line 797: | Line 807: | ||
| || | | || | ||
|- | |- | ||
| significand || scientific notation | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 807: | Line 817: | ||
| || | | || | ||
|- | |- | ||
| silver ratio, silver mean || ratio; addition; root extraction | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 817: | Line 827: | ||
| || | | || | ||
|- | |- | ||
| simple fraction, common fraction, vulgar fraction || fraction | |||
| 简分数 || | | 简分数 || | ||
| jiǎn fēnshù || | | jiǎn fēnshù || | ||
| gemeiner Bruch, gewöhnlicher Bruch || | | gemeiner Bruch, gewöhnlicher Bruch || | ||
| || | | || | ||
| || | | || | ||
Line 827: | Line 837: | ||
| || | | || | ||
|- | |- | ||
| scientific notation || significant figures; multiplication; exponentiation | |||
| 科学计数法 || | | 科学计数法 || | ||
| kēxué jìshù fǎ || | | kēxué jìshù fǎ || | ||
| wissenschaftliche Notation || | | wissenschaftliche Notation || | ||
| || | | || | ||
| || | | || | ||
Line 837: | Line 847: | ||
| || | | || | ||
|- | |- | ||
| significant figures, significant digits || rounding | |||
| 有效数字,有效数位 || | | 有效数字,有效数位 || | ||
| yǒuxiào shùzì, yǒuxiào shùwèi || | | yǒuxiào shùzì, yǒuxiào shùwèi || | ||
| signifikante Stellen [f pl], signifikante Ziffern [f pl] || | | signifikante Stellen [f pl], signifikante Ziffern [f pl] || | ||
| || | | || | ||
| || | | || | ||
Line 847: | Line 857: | ||
| || | | || | ||
|- | |- | ||
| square number, perfect square || integer; square <algebra> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 857: | Line 867: | ||
| || | | || | ||
|- | |- | ||
| tally marks, hash marks || unary system; addition | |||
| 计数符号 || | | 计数符号 || | ||
| jìshù fúhào || | | jìshù fúhào || | ||
| Strichliste [f] || | | Strichliste [f] || | ||
| || | | || | ||
| || | | || | ||
Line 867: | Line 877: | ||
| || | | || | ||
|- | |- | ||
| Trachtenberg system || multiplication | |||
| 特拉亨伯格速算系統 || | | 特拉亨伯格速算系統 || | ||
| | | Tèlāhēngbégé sùsuàn xìtǒng || | ||
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] || | | Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] || | ||
| || | | || | ||
| || | | || | ||
Line 877: | Line 887: | ||
| || | | || | ||
|- | |- | ||
| unit fraction || fraction | |||
| 单位分数 || | | 单位分数 || | ||
| dānwèi fēnshù || | | dānwèi fēnshù || | ||
| Stammbruch [m] || | | Stammbruch [m] || | ||
| || | | || | ||
| || | | || | ||
Line 887: | Line 897: | ||
| || | | || | ||
|- | |- | ||
| 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 || | | 正整数的唯一分解定理,算术基本定理 || | ||
| zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ || | | zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ || | ||
| Fundamentalsatz [m] der Arithmetik [f] || | | Fundamentalsatz [m] der Arithmetik [f] || | ||
| || | | || | ||
| || | | || | ||
Line 897: | Line 907: | ||
| || | | || | ||
|- | |- | ||
| zero || number (abstract idea) | |||
| 零 || | | 零 || | ||
| líng || | | líng || | ||
| Null [f] || | | Null [f] || | ||
| || | | || | ||
| || | | || | ||
Line 907: | Line 917: | ||
| || | | || | ||
|- | |- | ||
| zero to the power of zero || zero; exponentiation | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 930: | Line 940: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ analog computer | |+ analog computer | ||
! 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 940: | Line 950: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| analog computer || basic operation; logarithm; exponentiation | |||
| 模拟计算机 || | | 模拟计算机 || | ||
| mónǐ jìsuànjī || | | mónǐ jìsuànjī || | ||
| Analogrechner [m] || | | Analogrechner [m] || | ||
| || | | || | ||
| || | | || | ||
Line 959: | Line 969: | ||
| || | | || | ||
|- | |- | ||
| nomogram, nomograph || analog computer | |||
| 列线图,诺谟图 || | | 列线图,诺谟图 || | ||
| lièxiàn tú, nuòmò tú || | | lièxiàn tú, nuòmò tú || | ||
| Nomogramm [n], Nomographie [f] || | | Nomogramm [n], Nomographie [f] || | ||
| || | | || | ||
| || | | || | ||
Line 969: | Line 979: | ||
| || | | || | ||
|- | |- | ||
| slide rule || analog computer | |||
| 计算尺 || | | 计算尺 || | ||
| jìsuàn chǐ || | | jìsuàn chǐ || | ||
| Rechenschieber [m], Rechenstab [m] || | | Rechenschieber [m], Rechenstab [m] || | ||
| || | | || | ||
| || | | || | ||
Line 991: | Line 1,001: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ arithmetic operand | |+ arithmetic operand | ||
! 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 1,001: | Line 1,011: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| arithmetic operand || | |||
| 算术运算数,算术运算元 || | | 算术运算数,算术运算元 || | ||
| suànshù yùnsuànshù, suànshù yùnsuànyuán || | | suànshù yùnsuànshù, suànshù yùnsuànyuán || | ||
| arithmetischer Operand || | | arithmetischer Operand || | ||
| opérandeopérande arithmétique arithmétiquex || | |||
| opérandeopérande arithmétique || | |||
| 算術演算子 || | | 算術演算子 || | ||
| さ↑んじゅつえんざ↓んし || | | さ↑んじゅつえんざ↓んし || | ||
Line 1,021: | Line 1,031: | ||
| || | | || | ||
|- | |- | ||
| addend, summand || addition; operand <mathematical logic> | |||
| 加数 || | | 加数 || | ||
| jiā shù || | | jiā shù || | ||
| Summand [m] || | | Summand [m] || | ||
| cumulateur [m] || | | cumulateur [m] || | ||
| 加数 || | | 加数 || | ||
Line 1,031: | Line 1,041: | ||
| слага́емое || | | слага́емое || | ||
|- | |- | ||
| antilogarithm || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,041: | Line 1,051: | ||
| || | | || | ||
|- | |- | ||
| augend, summand || addition; operand <mathematical logic> | |||
| 被加数 || | | 被加数 || | ||
| bèijiā shù || | | bèijiā shù || | ||
| erster Summand || | | erster Summand || | ||
| || | | || | ||
| 被加数 || | | 被加数 || | ||
Line 1,051: | Line 1,061: | ||
| пе́рвое слага́емое || | | пе́рвое слага́емое || | ||
|- | |- | ||
| base (exponentiation) || exponentiation | |||
| 底数(指数),基数(指数) || | | 底数(指数),基数(指数) || | ||
| dǐshù (zhǐshù), jīshù (zhǐshù) || | | dǐshù (zhǐshù), jīshù (zhǐshù) || | ||
| Basis [f] (Exponentiation) || | | Basis [f] (Exponentiation) || | ||
| || | | || | ||
| || | | || | ||
Line 1,061: | Line 1,071: | ||
| || | | || | ||
|- | |- | ||
| base (logarithm) || logarithm | |||
| 底数(对数),基数(对数) || | | 底数(对数),基数(对数) || | ||
| dǐ shù (duì shù), jī shù (duì shù) || | | dǐ shù (duì shù), jī shù (duì shù) || | ||
| Basis [f] (Logarithmus) || | | Basis [f] (Logarithmus) || | ||
| || | | || | ||
| || | | || | ||
Line 1,071: | Line 1,081: | ||
| || | | || | ||
|- | |- | ||
| degree || nth root | |||
| 次方根 || | | 次方根 || | ||
| cìfāng gēn || | | cìfāng gēn || | ||
| Wurzelgrad [m] || | | Wurzelgrad [m] || | ||
| degré [m] || | | degré [m] || | ||
| || | | || | ||
Line 1,081: | Line 1,091: | ||
| || | | || | ||
|- | |- | ||
| denominator || fraction; operand <mathematical logic> | |||
| 分母 || | | 分母 || | ||
| fēn mǔ || | | fēn mǔ || | ||
| Nenner [m] || | | Nenner [m] || | ||
| dénominateur [m] || | | dénominateur [m] || | ||
| 分母 || | | 分母 || | ||
Line 1,091: | Line 1,101: | ||
| знамена́тель [м] || | | знамена́тель [м] || | ||
|- | |- | ||
| difference || subtraction | |||
| 差 || | | 差 || | ||
| chā || | | chā || | ||
| Differenz [f] || | | Differenz [f] || | ||
| différence [f] || | | différence [f] || | ||
| || | | || | ||
Line 1,101: | Line 1,111: | ||
| || | | || | ||
|- | |- | ||
| dividend || fraction; operand <mathematical logic> | |||
| 被除数 || | | 被除数 || | ||
| bèichú shù || | | bèichú shù || | ||
| Dividend [m] || | | Dividend [m] || | ||
| dividende [m] || | | dividende [m] || | ||
| || | | || | ||
Line 1,111: | Line 1,121: | ||
| || | | || | ||
|- | |- | ||
| divisor || division; operand <mathematical logic> | |||
| 除数 || | | 除数 || | ||
| chú shù || | | chú shù || | ||
| Divisor [m] || | | Divisor [m] || | ||
| diviseur [m] || | | diviseur [m] || | ||
| || | | || | ||
Line 1,121: | Line 1,131: | ||
| || | | || | ||
|- | |- | ||
| exponent || exponentiation | |||
| 幂,指数 || | | 幂,指数 || | ||
| mì, zhǐ shù || | | mì, zhǐ shù || | ||
| Hochzahl [f], Exponent [m] || | | Hochzahl [f], Exponent [m] || | ||
| exposant [m] || | | exposant [m] || | ||
| || | | || | ||
Line 1,131: | Line 1,141: | ||
| || | | || | ||
|- | |- | ||
| logarithm (operand) || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,141: | Line 1,151: | ||
| || | | || | ||
|- | |- | ||
| minuend || subtraction | |||
| 被减数 || | | 被减数 || | ||
| bèijiǎn shù || | | bèijiǎn shù || | ||
| Minuend [m] || | | Minuend [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,151: | Line 1,161: | ||
| || | | || | ||
|- | |- | ||
| multiplicand, factor || multiplication; operand <mathematical logic> | |||
| 被乘数 || | | 被乘数 || | ||
| bèichéng shù || | | bèichéng shù || | ||
| Multiplikand [m] || | | Multiplikand [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,161: | Line 1,171: | ||
| || | | || | ||
|- | |- | ||
| multiplier, factor || multiplication; operand <mathematical logic> | |||
| 乘数 || | | 乘数 || | ||
| chéng shù || | | chéng shù || | ||
| Multiplikator [m] || | | Multiplikator [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,171: | Line 1,181: | ||
| || | | || | ||
|- | |- | ||
| numerator || fraction; operand <mathematical logic> | |||
| 分子 || | | 分子 || | ||
| fēn zǐ || | | fēn zǐ || | ||
| Zähler [m] || | | Zähler [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,181: | Line 1,191: | ||
| || | | || | ||
|- | |- | ||
| power || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,191: | Line 1,201: | ||
| || | | || | ||
|- | |- | ||
| product || multiplication | |||
| 积 || | | 积 || | ||
| jī || | | jī || | ||
| Produkt [n] || | | Produkt [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,201: | Line 1,211: | ||
| || | | || | ||
|- | |- | ||
| quotient || division | |||
| 商 || | | 商 || | ||
| shāng || | | shāng || | ||
| Quotient [f] || | | Quotient [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,211: | Line 1,221: | ||
| || | | || | ||
|- | |- | ||
| radicant || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,221: | Line 1,231: | ||
| || | | || | ||
|- | |- | ||
| remainder || division with remainder | |||
| 余数 || | | 余数 || | ||
| yú shù || | | yú shù || | ||
| Rest [m], Teilungsrest [m] || | | Rest [m], Teilungsrest [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,231: | Line 1,241: | ||
| || | | || | ||
|- | |- | ||
| root || nth root | |||
| 根 || | | 根 || | ||
| gēn || | | gēn || | ||
| Wurzel [f] || | | Wurzel [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,241: | Line 1,251: | ||
| || | | || | ||
|- | |- | ||
| subtrahend || subtraction | |||
| 减数 || | | 减数 || | ||
| jiǎn shù || | | jiǎn shù || | ||
| Subtrahend [m] || | | Subtrahend [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,251: | Line 1,261: | ||
| || | | || | ||
|- | |- | ||
| sum || addition | |||
| 和 || | | 和 || | ||
| hé || | | hé || | ||
| Summe [f] || | | Summe [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,274: | Line 1,284: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ arithmetic operation | |+ arithmetic operation | ||
! 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 1,284: | Line 1,294: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| arithmetic operation || binary operation | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,304: | Line 1,314: | ||
| || | | || | ||
|- | |- | ||
| addition || number (abstract idea); binary operation <mathematical logic> | |||
| 加法 || | | 加法 || | ||
| jiā fǎ || | | jiā fǎ || | ||
| Addition [f] || | | Addition [f] || | ||
| addition [f] || | | addition [f] || | ||
| || | | || | ||
Line 1,314: | Line 1,324: | ||
| || | | || | ||
|- | |- | ||
| division || number (abstract idea); binary operation <mathematical logic> | |||
| 除法 || | | 除法 || | ||
| chú fǎ || | | chú fǎ || | ||
| Division [f] || | | Division [f] || | ||
| division [f] || | | division [f] || | ||
| || | | || | ||
Line 1,324: | Line 1,334: | ||
| || | | || | ||
|- | |- | ||
| exponentiation || number (abstract idea); binary operation <mathematical logic> | |||
| 幂运算,指数运算 || | | 幂运算,指数运算 || | ||
| mì yùnsuàn, zhǐshù yùnsuàn || | | mì yùnsuàn, zhǐshù yùnsuàn || | ||
| Potenz [f] || | | Potenz [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,334: | Line 1,344: | ||
| || | | || | ||
|- | |- | ||
| 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 1,354: | ||
| || | | || | ||
|- | |- | ||
| logarithm (operation) || number (abstract idea); binary operation <mathematical logic> | |||
| 对数 || | | 对数 || | ||
| duì shù || | | duì shù || | ||
| Logarithmus [m] || | | Logarithmus [m] || | ||
| logarithme [m] || | | logarithme [m] || | ||
| || | | || | ||
Line 1,354: | Line 1,364: | ||
| || | | || | ||
|- | |- | ||
| multiplication || number (abstract idea); binary operation <mathematical logic> | |||
| 乘法 || | | 乘法 || | ||
| chéng fǎ || | | chéng fǎ || | ||
| Multiplikation [f] || | | Multiplikation [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,364: | Line 1,374: | ||
| || | | || | ||
|- | |- | ||
| nth root || binary operation <mathematical logic> | |||
| 次方根 || | | 次方根 || | ||
| cìfāng gēn || | | cìfāng gēn || | ||
| Wurzel [f] , Radikal [n] || | | Wurzel [f] , Radikal [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,374: | Line 1,384: | ||
| || | | || | ||
|- | |- | ||
| root extraction || nth root | |||
| 开方 || | | 开方 || | ||
| kāi fāng || | | kāi fāng || | ||
| Radizieren [n] || | | Radizieren [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,384: | Line 1,394: | ||
| || | | || | ||
|- | |- | ||
| subtraction || number (abstract idea); binary operation <mathematical logic> | |||
| 减法 || | | 减法 || | ||
| jiǎn fǎ || | | jiǎn fǎ || | ||
| Subtraktion [f], Abziehen [n], Abzug [m] || | | Subtraktion [f], Abziehen [n], Abzug [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,407: | Line 1,417: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ arithmetic symbol | |+ arithmetic symbol | ||
! 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 1,417: | Line 1,427: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| arithmetic symbol || | |||
| 算术符号 || | | 算术符号 || | ||
| suànshù fúhào || | | suànshù fúhào || | ||
| arithmetisches Symbol || | | arithmetisches Symbol || | ||
| || | | || | ||
| || | | || | ||
Line 1,437: | Line 1,447: | ||
| || | | || | ||
|- | |- | ||
| division sign || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,447: | Line 1,457: | ||
| || | | || | ||
|- | |- | ||
| minus sign || subtraction; negative number | |||
| 减号 || | | 减号 || | ||
| jiǎn hào || | | jiǎn hào || | ||
| Minuszeichen [n] || | | Minuszeichen [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,457: | Line 1,467: | ||
| || | | || | ||
|- | |- | ||
| multiplication sign || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,467: | Line 1,477: | ||
| || | | || | ||
|- | |- | ||
| percent sign || percentage | |||
| 百分号 || | | 百分号 || | ||
| bǎifēn hào || | | bǎifēn hào || | ||
| Prozentzeichen [n] || | | Prozentzeichen [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,477: | Line 1,487: | ||
| || | | || | ||
|- | |- | ||
| plus sign || addition; positive number | |||
| 加号 || | | 加号 || | ||
| jiā hào || | | jiā hào || | ||
| Pluszeichen [n] || | | Pluszeichen [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,500: | Line 1,510: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ mechanical calculator | |+ mechanical calculator | ||
! 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 1,510: | Line 1,520: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| mechanical calculator, calculating machine || basic operation | |||
| 机械计算器 || | | 机械计算器 || | ||
| jīxiè jìsuànqì || | | jīxiè jìsuànqì || | ||
| Rechenmaschine [f] || | | Rechenmaschine [f] || | ||
| calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique || | | calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique || | ||
| 機械式計算機 || | | 機械式計算機 || | ||
Line 1,529: | Line 1,539: | ||
| || | | || | ||
|- | |- | ||
| abacus || mechanical calculator | |||
| 算盘 || | | 算盘 || | ||
| suàn pan || | | suàn pan || | ||
| Abakus [m] || | | Abakus [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,539: | Line 1,549: | ||
| || | | || | ||
|- | |- | ||
| Pascal's calculator, arithmetic machine, Pascaline || machine calculator | |||
| 滚轮式加法器,帕斯卡计算器 || | | 滚轮式加法器,帕斯卡计算器 || | ||
| gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì || | | gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì || | ||
| Pascaline [f] || | | Pascaline [f] || | ||
| pascaline [f], machine [f] d’arithmétique, roue [f] pascaline || | | pascaline [f], machine [f] d’arithmétique, roue [f] pascaline || | ||
| パスカリン || | | パスカリン || | ||
Line 1,561: | Line 1,571: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ multiplication algorithm | |+ multiplication algorithm | ||
! 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 1,571: | Line 1,581: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| multiplication algorithm || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,591: | Line 1,601: | ||
| || | | || | ||
|- | |- | ||
| lattice multiplication || multiplication | |||
| 格子乘法,铺地锦算法 || | | 格子乘法,铺地锦算法 || | ||
| gézi | | gézi suànfǎ, pūdìjǐn suànfǎ || | ||
| Gittermethode [f] || | | Gittermethode [f] || | ||
| multiplication [f] par jalousies [f pl] || | | multiplication [f] par jalousies [f pl] || | ||
| 格子掛け算 || | | 格子掛け算 || | ||
Line 1,601: | Line 1,611: | ||
| решёточное умноже́ние || | | решёточное умноже́ние || | ||
|- | |- | ||
| long multiplication || multiplication | |||
| 长乘法 || | | 长乘法 || | ||
| cháng chéngfǎ || | | cháng chéngfǎ || | ||
| Standardmethode [f] der schriftlichen Multiplikation || | | Standardmethode [f] der schriftlichen Multiplikation [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,611: | Line 1,621: | ||
| || | | || | ||
|- | |- | ||
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication | |||
| 农夫算法 || | | 农夫算法 || | ||
| nóngfū suànfǎ || | | nóngfū suànfǎ || | ||
| russische Bauernmultiplikation || | | russische Bauernmultiplikation || | ||
| || | | || | ||
| || | | || | ||
Line 1,634: | Line 1,644: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ number system | |+ number system | ||
! 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 1,644: | Line 1,654: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| number system || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| algebraic number || complex number; root <algebra> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,674: | Line 1,684: | ||
| || | | || | ||
|- | |- | ||
| complex number || imaginary number; real number | |||
| 复数 || | | 复数 || | ||
| fù shù || | | fù shù || | ||
| komplexe Zahl || | | komplexe Zahl || | ||
| nombre [m] complexe || | | nombre [m] complexe || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| composite number || division; natural number | |||
| 合数,合成数 || | | 合数,合成数 || | ||
| hé shù, héchéng shù || | | hé shù, héchéng shù || | ||
| zusammengesetzte Zahl || | | zusammengesetzte Zahl || | ||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| fraction || division; integer | |||
| 分数 || | | 分数 || | ||
| fēn shù || | | fēn shù || | ||
| Bruch [m] || | | Bruch [m] || | ||
| fraction [f] || | | fraction [f] || | ||
| || | | || | ||
Line 1,704: | Line 1,714: | ||
| || | | || | ||
|- | |- | ||
| imaginary number || negative number; exponentiation | |||
| 虚数 || | | 虚数 || | ||
| xū shù || | | xū shù || | ||
| imaginäre Zahl || | | imaginäre Zahl || | ||
| nombre [m] imaginaire || | | nombre [m] imaginaire || | ||
| || | | || | ||
Line 1,714: | Line 1,724: | ||
| || | | || | ||
|- | |- | ||
| integer || natural number; negative number | |||
| 整数 || | | 整数 || | ||
| zhěng shù || | | zhěng shù || | ||
| Ganzzahl [f], ganze Zahl || | | Ganzzahl [f], ganze Zahl || | ||
| entier || | | entier || | ||
| || | | || | ||
Line 1,724: | Line 1,734: | ||
| || | | || | ||
|- | |- | ||
| irrational number || rational number; real number | |||
| 无理数 || | | 无理数 || | ||
| wúlǐ shù || | | wúlǐ shù || | ||
| irrationale Zahl || | | irrationale Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 1,734: | Line 1,744: | ||
| || | | || | ||
|- | |- | ||
| natural number, counting number || number (abstract idea) | |||
| 自然数 || | | 自然数 || | ||
| zìrán shù || | | zìrán shù || | ||
| natürliche Zahl || | | natürliche Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 1,744: | Line 1,754: | ||
| || | | || | ||
|- | |- | ||
| prime number, prime || product; natural number | |||
| 质数,素数 || | | 质数,素数 || | ||
| zhì shù, sù shù || | | zhì shù, sù shù || | ||
| Primzahl [f] || | | Primzahl [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,754: | Line 1,764: | ||
| || | | || | ||
|- | |- | ||
| rational number || fraction; integer | |||
| 有理数 || | | 有理数 || | ||
| yǒulǐ shù || | | yǒulǐ shù || | ||
| rationale Zahl || | | rationale Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 1,764: | Line 1,774: | ||
| || | | || | ||
|- | |- | ||
| real number || rational number | |||
| 实数 || | | 实数 || | ||
| shí shù || | | shí shù || | ||
| reelle Zahl || | | reelle Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 1,774: | Line 1,784: | ||
| || | | || | ||
|- | |- | ||
| transcendental number || algebraic number | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,797: | Line 1,807: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ numeral system | |+ numeral system | ||
! 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 1,817: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| numeral system || notation <linguistics> | |||
| 数制,记数系统,记数法 || | | 数制,记数系统,记数法 || | ||
| shù zhì, jìshù xìtǒng, jìshù fǎ || | | shù zhì, jìshù xìtǒng, jìshù fǎ || | ||
| Zahlensystem [n] || | | Zahlensystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,827: | Line 1,837: | ||
| || | | || | ||
|- | |- | ||
| binary system || numeral system | |||
| 二进制 || | | 二进制 || | ||
| | | èr jìnzhì || | ||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] || | | Dualsystem [n], Zweiersystem [n], Binärsystem [n] || | ||
| système [m] binaire || | | système [m] binaire || | ||
| || | | || | ||
Line 1,837: | Line 1,847: | ||
| || | | || | ||
|- | |- | ||
| decimal, base-ten || integer | |||
| 十进制 || | | 十进制 || | ||
| shíjìn zhì || | | shíjìn zhì || | ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System || | | Dezimalsystem [n], Zehnersystem [n], dekadisches System || | ||
| || | | || | ||
| || | | || | ||
Line 1,847: | Line 1,857: | ||
| || | | || | ||
|- | |- | ||
| hexadecimal, base 16, hex || numeral system | |||
| 十六进制 || | | 十六进制 || | ||
| | | shíliù jìnzhì || | ||
| Hexadezimalsystem [n], Sedezimalsystem [n] || | | Hexadezimalsystem [n], Sedezimalsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,857: | Line 1,867: | ||
| || | | || | ||
|- | |- | ||
| octal, oct || numeral system | |||
| 八进制 || | | 八进制 || | ||
| | | bā jìnzhì || | ||
| Oktalsystem [n] || | | Oktalsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,867: | Line 1,877: | ||
| || | | || | ||
|- | |- | ||
| unary system || numeral system | |||
| 一进制 || | | 一进制 || | ||
| | | yī jìnzhì || | ||
| Unärsystem [n] || | | Unärsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,890: | Line 1,900: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ rounding | |+ 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 1,900: | Line 1,910: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| rounding || decimal representation | |||
| 数值修约 || | | 数值修约 || | ||
| shùzhí xiūyuē || | | shùzhí xiūyuē || | ||
| | | Rundung [f], Runden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,920: | Line 1,930: | ||
| || | | || | ||
|- | |- | ||
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero | |||
| 无条件简化 || | | 无条件简化 || | ||
| wútiáojiàn jiǎnhuà || | | wútiáojiàn jiǎnhuà || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,930: | Line 1,940: | ||
| || | | || | ||
|- | |- | ||
| rounding away from zero, rounding towards infinity || rounding | |||
| 向无穷取整 || | | 向无穷取整 || | ||
| xiàng wúqióng qǔzhěng || | | xiàng wúqióng qǔzhěng || | ||
| Wegrunden [n] von Null | | Wegrunden [n] von Null || | ||
| || | | || | ||
| || | | || | ||
Line 1,940: | Line 1,950: | ||
| || | | || | ||
|- | |- | ||
| rounding down, rounding towards negative infinity || rounding | |||
| 向下取整 || | | 向下取整 || | ||
| xiàng xià qǔzhěng || | | xiàng xià qǔzhěng || | ||
| Abrunden [n] || | | Abrunden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,950: | Line 1,960: | ||
| || | | || | ||
|- | |- | ||
| rounding towards zero, rounding away from infinity || rounding | |||
| 向零取整 || | | 向零取整 || | ||
| xiàng líng qǔzhěng || | | xiàng líng qǔzhěng || | ||
| Runden [n] gegen Null | | Runden [n] gegen Null || | ||
| || | | || | ||
| || | | || | ||
Line 1,960: | Line 1,970: | ||
| || | | || | ||
|- | |- | ||
| rounding up, rounding towards positive infinity || rounding | |||
| 向上取整 || | | 向上取整 || | ||
| xiàng shàng qǔzhěng || | | xiàng shàng qǔzhěng || | ||
| Aufrunden [n] || | | Aufrunden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,983: | Line 1,993: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ sequence | |+ 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 1,993: | Line 2,003: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| sequence || object <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,013: | Line 2,023: | ||
| || | | || | ||
|- | |- | ||
| arithmetic progression, arithmetic sequence || sequence | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,023: | Line 2,033: | ||
| || | | || | ||
|- | |- | ||
| geometric progression. geometric sequence || sequence | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,066: | Line 2,076: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorem about prime numbers | |+ 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 2,076: | Line 2,086: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| theorem about prime numbers || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,096: | Line 2,106: | ||
| || | | || | ||
|- | |- | ||
| Bertrand's postulate || prime number | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,117: | Line 2,127: | ||
|} | |} | ||
== Algebraic Number Theory == | === Algebraic 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 | ||
Line 2,147: | Line 2,157: | ||
|} | |} | ||
== Analytic Number Theory == | === 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 | ||
Line 2,167: | Line 2,177: | ||
| || | | || | ||
|- | |- | ||
| prime-counting function || prime number; function <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,188: | Line 2,198: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorems in analytic number theory | |+ 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 2,197: | Line 2,207: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| theorems in analytic number theory || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | |- | ||
| || | | || | ||
|- | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |- | ||
| || | | prime number theorem || prime number; asymptotic analysis | ||
|- | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | |- | ||
| || | | || | ||
|- | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |} | ||
| || | |||
== Appendix == | |||
=== Sentence === | |||
==== 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 | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| 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. || | |||
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|- | |||
| 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. || | |||
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|- | |||
| 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. || | |||
| || | |||
| || | |||
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|- | |||
| 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. || | |||
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|- | |||
| 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. || | |||
| || | |||
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|- | |||
| 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. || | |||
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=== 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 | |||
|- | |||
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| | |||
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|- | |||
| + | |||
| addition; positive number | |||
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|- | |||
| - | |||
| subtraction; negative number | |||
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|- | |||
| × | |||
| multiplication | |||
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|- | |||
| ÷ | |||
| division | |||
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| % | |||
| percent | |||
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|- | |||
| √ | |||
| root | |||
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|- | |||
| < | |||
| less than | |||
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|- | |||
| > | |||
| greater than | |||
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|- | |||
| ≤ | |||
| less than or equal to | |||
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|- | |||
| ≥ | |||
| greater than or equal to | |||
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|- | |||
| ^ | |||
| exponentiation | |||
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|- | |||
| ≡ | |||
| congruent modulo | |||
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| ∞ | |||
| infinity | |||
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|- | |||
| E, e | |||
| E notation | |||
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| e | |||
| Euler's number | |||
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|- | |||
| lg | |||
| decimal logarithm | |||
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|- | |||
| log | |||
| logarithm | |||
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|- | |||
| ln | |||
| natural logarithm | |||
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|} | |||
=== 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 | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
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|- | |||
| addition || augend; addend; sum | |||
| || | |||
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|- | |||
| division || dividend; divisor; quotient | |||
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|- | |||
| multiplication || multiplicand; multiplier; product | |||
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|- | |||
| subtraction || minuend; subtrahend; difference | |||
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|- | |||
| division with remainder || dividend; divisor; quotient; remainder | |||
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|} | |||
=== Resource under a Public License === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! name | |||
! language | |||
! link | |||
|- | |||
| | |||
| | |||
| | |||
|- | |||
| gbrainy | |||
| English | |||
| https://wiki.gnome.org/Apps/gbrainy | |||
|- | |||
| | |||
| | |||
| | |||
|} | |} | ||
<center> | <center>[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]</center> | ||
</center> | |||
{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} | ||