Editing Language/Multiple-languages/Vocabulary/Number-Theory

{{Sci-Tech-Index-Intro}}

{| 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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| 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 || 
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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 || 
|-
| 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 décimale || 
| 小数 || 
| しょ↑うす↓う || 
|  || 
| десяти́чная дробь [ж] || 
|-
| 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] || 
| 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 || 
|-
| 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 || 
|-
| extreme || proportion
| 外项 || 
| wài xiàng || 
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| 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 || 
|-
| mean || proportion
| 内项 || 
| nèi xiàng || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| Napier's rods, Napier's bones || lattice multiplication
| 纳皮尔筹 || 
| Nàpí'ěr chóu || 
| Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen || 
|  || 
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|-
| negative number || number (abstract idea)
| 负数 || 
| fù shù || 
| negative Zahl || 
|  || 
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|  || 
|  || 
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|-
| notation || numeral; symbol
| 记法，表示法 || 
| jì fǎ, biǎoshì fǎ || 
| Notation [f] || 
|  || 
|  || 
|  || 
|  || 
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|-
| non-negative number || negative number
| 非负数 || 
| fēifù shù || 
| nichtnegative Zahl || 
|  || 
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|-
| non-positive number || positive number
| 非正数 || 
| fēizhèng shù || 
| nichtpositive Zahl || 
|  || 
|  || 
|  || 
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|-
| number (abstract idea) || mathematical object <mathematical logic>
| 数 || 
| shù || 
| Zahl [f] (abstrakte Idee) || 
|  || 
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|  || 
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|  || 
|-
| number (symbol), numeral || digit
| 数字（整个符号） || 
| shù zì (zhěnggè fúhào) || 
| Zahl [f] (Symbol) || 
|  || 
|  || 
|  || 
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|  || 
|-
| number line || line <geometry>
| 数轴，数线 || 
| shù zhóu, shù xiàn || 
| Zahlengerade [f], Zahlenstrahl [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
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|-
| order of magnitude || logarithm
|  || 
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|-
| parity || natural number
| 奇偶性 || 
| jī'ǒu xìng || 
| Parität [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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
|  || 
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|-
| proportionality || proportion
|  || 
|  || 
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|-
| radix, base || positional notation
| 底数（进制） || 
| dǐ shù (jìn zhì) || 
| Basis [f] (Zahlensystem) || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| radix character || radix
| 小数点 || 
| xiǎoshù diǎn || 
| Radixpunkt [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| ratio || number (abstract idea)
| 比率，比值 || 
| bǐ lǜ, bǐ zhí || 
| Verhältnis [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| reciprocal function || function; multiplicative inverse
| 互反函数 || 
| hùfǎn hánshù || 
| Reziprokfunktion [f], reziproke Funktion || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| significand || scientific notation
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| silver ratio, silver mean || ratio; addition; root extraction
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| simple fraction, common fraction, vulgar fraction || fraction
| 简分数 || 
| jiǎn fēnshù || 
| gemeiner Bruch, gewöhnlicher Bruch || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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>
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| tally marks, hash marks || unary system; addition
| 计数符号 || 
| jìshù fúhào || 
| Strichliste [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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 || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| slide rule || analog computer
| 计算尺 || 
| jìsuàn chǐ || 
| Rechenschieber [m], Rechenstab [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| 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
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| addition || number (abstract idea); binary operation <mathematical logic>
| 加法 || 
| jiā fǎ || 
| Addition [f] || 
| addition [f] || 
|  || 
|  || 
| جَمع || 
|  || 
|-
| 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 || 
|  || 
|-
| division by zero || division; zero
| 除以零 || 
| chú yǐ líng || 
| Division [f] durch Null || 
| division [f] par zéro || 
|  || 
|  || 
| تَقسیم بَر صِفر || 
|  || 
|-
| division with remainder, Euclidean division || division
| 带余除法，欧几里德除法 || 
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ || 
| Division [f] mit Rest || 
|  || 
|  || 
|  || 
| تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی || 
|  || 
|-
| logarithm || number (abstract idea); binary operation <mathematical logic>
| 对数 || 
| duì shù || 
| Logarithmus [m] || 
| logarithme [m] || 
|  || 
|  || 
|  || 
|  || 
|-
| multiplication || number (abstract idea); binary operation <mathematical logic>
| 乘法 || 
| chéng fǎ || 
| Multiplikation [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| natural logarithm || Euler's number; logarithm
| 自然对数 || 
| zìrán duìshù || 
| natürlicher Logarithmus || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| nth root || binary operation <mathematical logic>
| 次方根 || 
| cìfāng gēn || 
| Wurzel [f] , Radikal [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| root extraction || nth root
| 开方 || 
| kāi fāng || 
| Radizieren [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| subtraction || number (abstract idea); binary operation <mathematical logic>
| 减法 || 
| jiǎn fǎ || 
| Subtraktion [f], Abziehen [n], Abzug [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| zero to the power of zero || zero; exponentiation
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| class="wikitable sortable"
|+ multiplication algorithm
! 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
|-
| multiplication algorithm || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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 || 
|-
| long multiplication || multiplication
| 长乘法 || 
| cháng chéngfǎ || 
| Standardmethode [f] der schriftlichen Multiplikation [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication
| 农夫算法 || 
| nóngfū suànfǎ || 
| russische Bauernmultiplikation || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| 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
! 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
|-
| number system || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| algebraic number || complex number; root <algebra>
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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 || 
|  || 
|  || 
|  || 
|  || 
|-
| irrational number || rational number; real number
| 无理数 || 
| wúlǐ shù || 
| irrationale Zahl || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| rational number || fraction; integer
| 有理数 || 
| yǒulǐ shù || 
| rationale Zahl || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| real number || rational number
| 实数 || 
| shí shù || 
| reelle Zahl || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| transcendental number || algebraic number
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| octal, oct || numeral system
| 八进制 || 
| bā jìnzhì || 
| Oktalsystem [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| unary system || numeral system
| 一进制 || 
| yī jìnzhì || 
| Unärsystem [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| class="wikitable sortable"
|+ operand
! 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
|-
| operand || 
| 运算数，运算元 || 
| yùnsuàn shù, yùnsuàn yuán || 
| Operand [m] || 
| opérande [m] || 
| 被演算子 || 
| ひ↑えんざ↓んし || 
|  || 
| опера́нд || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| addend, summand || addition; operand <mathematical logic>
| 加数 || 
| jiā shù || 
| Summand [m] || 
| cumulateur [m] || 
| 加数 || 
| か↑す↓う || 
| جَمع وند، عامل جَمع || 
| слага́емое || 
|-
| antilogarithm || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| augend, summand || addition; operand <mathematical logic>
| 被加数 || 
| bèijiā shù || 
| erster Summand || 
|  || 
| 被加数 || 
| ひ↑か↓すう || 
| مُوَلِفه دُوم جَمع اَعداد || 
| пе́рвое слага́емое || 
|-
| 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) || 
|  || 
|-
| degree || nth root
| 次方根 || 
| cìfāng gēn || 
| Wurzelgrad [m] || 
| degré [m] || 
|  || 
|  || 
| دَرَجه || 
|  || 
|-
| denominator || fraction; operand <mathematical logic>
| 分母 || 
| fēn mǔ || 
| Nenner [m] || 
| dénominateur [m] || 
| 分母 || 
| ぶ↓んぼ || 
| مَخرَج کَسر || 
| знамена́тель [м] || 
|-
| difference || subtraction
| 差 || 
| chā || 
| Differenz [f] || 
| différence [f] || 
|  || 
|  || 
| تَفاضُل || 
|  || 
|-
| dividend || fraction; operand <mathematical logic>
| 被除数 || 
| bèichú shù || 
| Dividend [m] || 
| dividende [m] || 
|  || 
|  || 
| مَقسوم || 
|  || 
|-
| 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 (operand) || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| minuend || subtraction
| 被减数 || 
| bèijiǎn shù || 
| Minuend [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| multiplicand, factor || multiplication; operand <mathematical logic>
| 被乘数 || 
| bèichéng shù || 
| Multiplikand [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| multiplier, factor || multiplication; operand <mathematical logic>
| 乘数 || 
| chéng shù || 
| Multiplikator [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| numerator || fraction; operand <mathematical logic>
| 分子 || 
| fēn zǐ || 
| Zähler [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| power || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| product || multiplication
| 积 || 
| jī || 
| Produkt [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| quotient || division
| 商 || 
| shāng || 
| Quotient [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| radicant || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| remainder || division with remainder
| 余数 || 
| yú shù || 
| Rest [m], Teilungsrest [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| root || nth root
| 根 || 
| gēn || 
| Wurzel [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| subtrahend || subtraction
| 减数 || 
| jiǎn shù || 
| Subtrahend [m] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| sum || addition
| 和 || 
| hé || 
| Summe [f] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| class="wikitable sortable"
|+ rounding
! 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
|-
| rounding || decimal representation
| 数值修约 || 
| shùzhí xiūyuē || 
| Rundung [f], Runden [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| 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] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| rounding towards zero, rounding away from infinity || rounding
| 向零取整 || 
| xiàng líng qǔzhěng || 
| Runden [n] gegen Null || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| rounding up, rounding towards positive infinity || rounding
| 向上取整 || 
| xiàng shàng qǔzhěng || 
| Aufrunden [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| class="wikitable sortable"
|+ sequence
! 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
|-
| sequence || object <mathematical logic>
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| arithmetic progression, arithmetic sequence || sequence
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| geometric progression. geometric sequence || sequence
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| class="wikitable sortable"
|+ symbol
! 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
|-
| symbol || 
| 符号 || 
| fúhào || 
| Symbol [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| minus sign || subtraction; negative number
| 减号 || 
| jiǎn hào || 
| Minuszeichen [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| percent sign || percentage
| 百分号 || 
| bǎifēn hào || 
| Prozentzeichen [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| plus sign || addition; positive number
| 加号 || 
| jiā hào || 
| Pluszeichen [n] || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| 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-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
|-
| theorem about prime numbers || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| Bertrand's postulate || prime number
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

=== 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
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

=== Analytic 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
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
| prime-counting function || prime number; function <mathematical logic>
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|-
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|  || 
|}

{| 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-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
|-
| 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. || 
|  || 
|  || 
|  || 
|-
| 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
| English
| https://wiki.gnome.org/Apps/gbrainy
|-
| 
| 
| 
|}

<center>[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]</center>

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