Difference between revisions of "Language/Multiple-languages/Vocabulary/Number-Theory"

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This is a part of the Sci-Tech Index, a project for science and technology learners.
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You can see the titles are a bit of weird, because they won't change place after sorting. They are also going to be read by machine and made use of by other means.
{| class="wikitable sortable"
! cmn-Hans-CN: 科目
! cmn-Latn.Pinyin-CN: kēmù
! deu-Latn-DE: Fach [n]
! eng-Latn-US: subject
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: か↑もく
! pes-Aran-IR: رِشته
! rus-Cyrl-RU: предме́т
|-
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| 算术
| suàn shù
| Arithmetik [f]
| arithmetic
| arithmétique [f]
| 算数，算術
| さ↑んす↓う，さ↑んじゅつ
| علمِ حِساب‎
| арифме́тика
|-
| 代数数论
| dàishù shùlùn
| algebraische Zahlentheorie
| algebraic number theoryarithmetic; algebra
| 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
|-
| 解析数论
| jiěxī shùlùn
| analytische Zahlentheorie
| analytic number theoryarithmetic; mathematical analysis
| 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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“Prerequisites” are to be generated through programs, so they are kept empty for non-English languages.
== Arithmetic ==
 
{| class="wikitable sortable"
In progress.
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
 
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
{| class="wikitable"
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
|eng-Latn-US concept
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|eng-Latn-US prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
|cmn-Hans-CN 概念
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
|cmn-Hans-CN 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
|cmn-Latn/Pinyin-CN gàiniàn
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
|cmn-Latn/Pinyin-CN qiántí
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|deu-Latn-DE Begriff
|-
|deu-Latn-DE Voraussetzung
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 绝对值，模 ||
| juéduì zhí, mó ||
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert ||
| absolute value, modulus || real number
| valeur absolue, module [m] ||
| 絶対値，母数 ||
| ぜ↑った↓いち，ぼ↑す↓う ||
| قَدرِ مُطلَق ||
| абсолю́тная величина́, мо́дуль [м] ||
|-
| 加法逆元，相反数 ||
| jiāfǎ nìyuán, xiāngfǎn shù ||
| Gegenzahl [f] ||
| additive inverse, opposite, negation || addition; number (abstract idea)
| opposé [m] ||
| 反数 ||
| は↓んすう ||
| وارون اَفزایِِشی ||
| противополо́жное число́ ||
|-
| 四则运算 ||
| sìzé yùnsuàn ||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||
| basic operation || addition; division; multiplication; subtraction
|  ||
|  ||
|  ||
| چهار عَمَل اَصلی ||
|  ||
|-
| 以二为底的对数 ||
| yǐ èr wéi dǐ de duìshù ||
| binärer Logarithmus, dualer Logarithmus ||
| binary logarithm || logarithm
| logarithme [m] binaire ||
|  ||
|  ||
| لُگاریتم باینِری، لُگاریتم دو دویی ||
|  ||
|-
|-
| 指算法 ||
| zhǐsuàn fǎ ||
| Chisanbop [n] ||
| chisanbop || addition; subtraction
|  ||
| 指算法 ||
| ゆ↑びさ↓んぽう ||
| مُحاسِبه اَنگُشتی ||
|  ||
|-
| 公差 ||
| gōng chā ||
|  ||
| common difference || arithmetic progression; difference <number theory>
|  ||
| 公差 ||
| こ↓うさ ||
|  ||
|  ||
|-
| 公比 ||
| gōng bǐ ||
|  ||
| common ratio || geometic progression; ratio <number theory>
|  ||
| 公比 ||
| こ↓うひ ||
|  ||
|  ||
|-
| 共轭复数 ||
| gòng'è fùshù ||
| komplexe Konjugation ||
| complex conjugate || complex number
| conjugué [m] ||
| 複素共役 ||
| ふ↑くそきょ↓うやく ||
|  ||
| сопряжённые чи́сла ||
|-
| 常数，定数 ||
| cháng shù, dìng shù ||
| Konstante [f], Festwert [m] ||
| constant || number (abstract idea)
| constante [f] ||
| 定数，常数 ||
| て↑いす↓う，じょ↑うす↓う ||
| ثابِت ||
| постоя́нная, конста́нта ||
|-
| 连分数，繁分数 ||
| lián fēnshù, fán fēnshù ||
| Kettenbruch [m] ||
| continued fraction || integer part; multiplicative inverse
| fraction continue ||
| 連分数 ||
| れ↑んぶ↓んすう ||
|  ||
| непреры́вная дробь [ж], цепна́я дробь [ж] ||
|-
| 互质数 ||
| hùzhì shù ||
| teilerfremde Zahlen [f pl] ||
| coprime numbers, relatively prime numbers, mutually prime numbers || prime number; divisor
| nombres [m pl] premiers entre eux ||
| 互いに素 ||
| た↑がいに↓そ ||
|  ||
| взаи́мно просты́е чи́сла ||
|-
| 算筹，算子 ||
| suàn chóu, suàn zǐ ||
| Zählstäbe [m pl] ||
| counting rods || basic operation
| baguettes [f pl] à calculer ||
| 算木，算籌 ||
| さ↓んぎ，さん↓ちゅう ||
| میله های شُمارِش ||
| счётные па́лочки ||
|-
| 古氏积木 ||
| Gǔshì jīmù ||
| Cuisenaire-Stäbchen [n pl] ||
| Cuisenaire rods || basic operations
| réglettes [f pl] Cuisenaire ||
|  ||
|  ||
|  ||
|  ||
|-
| 小数 ||
| xiǎo shù ||
| Dezimalbruch [m], Zehnerbruch [m] ||
| decimal fraction || decimal representation
| fraction décimale ||
| 小数 ||
| しょ↑うす↓う ||
|  ||
| десяти́чная дробь [ж] ||
|-
| 常用对数 ||
| chángyòng duìshù ||
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||
| decimal logarithm, common logarithm || logarithm
|  ||
|  ||
|  ||
| لُگاریتم بَر پایه دَه ||
|  ||
|-
|-
| 小数表示法 ||
| xiǎoshù biǎoshì fǎ ||
| Dezimaldarstellung [f] ||
| decimal representation || number (symbol)
| développement décimal ||
| 小数表記法 ||
| しょ↑うすうひょ↓うきほう  ||
| نَمایِِش اَعشاری، نَمایش دَهدَهی ||
| десяти́чное представле́ние ||
|-
| 小数点 ||
| xiǎoshù diǎn ||
| Dezimaltrennzeichen [n] ||
| decimal separator || decimal representation; radix character
| séparateur décimal ||
| 小数点 ||
| しょ↑うす↓うてん ||
| مُمَیِِز ||
| десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я ||
|-
| 数字（单个符号） ||
| shù zì (dāngè fúhào) ||
| Ziffer [f] ||
| digit || number (abstract idea); symbol
| chiffre [m] (symbole individuel) ||
| 数字（個々の符号） ||
| す↑うじ（こ↓このふ↑ごう） ||
| رَقَم ||
| ци́фра ||
|-
| 正比例 ||
| zhèng bǐlì ||
| direkte Proprotionalität ||
| direct proportionality || proportionality
| proportionnalité directe ||
| 正比例 ||
| せ↑いひ↓れい ||
|  ||
| пряма́я пропорциона́льность [ж] ||
|-
| 丢番图逼近 ||
| Diūfāntú bījìn ||
| diophantische Approximation ||
| Diophantine approximation || real number
| 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 ||
|-
| 除以零 ||
| chú yǐ líng ||
| Division [f] durch Null [f] ||
| division by zero || division; zero
| division [f] par zéro ||
|  ||
|  ||
| تَقسیم بَر صِفر ||
|  ||
|-
| 埃及分数 ||
| Āijí fēnshù ||
| Stammbruchzerlegung [f] ||
| Egyptian fraction || unit fraction
| 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 ||
|-
| 工程计数法 ||
| gōngchéng jìshù fǎ ||
| technische Notation ||
| engineering notation || scientific notation
| notation [f] ingénieur ||
|  ||
|  ||
| نَماد مُهَندِسی ||
| инжене́рная нота́ция ||
|-
| 欧几里得引理 ||
| Ōujīlǐdé yǐnlǐ ||
| Lemma [n] von Euklid ||
| Euclid's lemma || prime number
| 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 ||
|-
| 自然常数，自然底数，欧拉常数 ||
| zìrán chángshù, zìrán dǐshù, Ōulā chángshù ||
| eulersche Zahl ||
| Euler's number, e || constant
| 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 ||
|-
| 偶数 ||
| ǒu shù ||
| gerade Zahl ||
| even number || natural number; division
| nombre pair ||
| 偶数 ||
| ぐ↑うす↓う ||
| عَدَد زوج ||
| чётное число́ ||
|-
| 二进制指算法 ||
| èrjìnzhì zhǐsuànfǎ ||
| binär zählen mit Fingern [m pl] ||
| finger binary || addition; subtraction; binary system
|  ||
| 二進指数え法 ||
| に↑しんゆびかぞえほ↓う ||
| مُحاسِبه اَنگُشتی باینِری، مُحاسِبه اَنگُشتی دودویی ||
|  ||
|-
| 因式分解 ||
| yīnshì fēnjiě ||
| Faktorisierung [f] ||
| factorization, factoring || mathematical object <mathematical logic>
| factorisation [f] ||
|  ||
|  ||
| فاکتورسازی ||
|  ||
|-
| 有限连分数 ||
| yǒuxiàn liánfēnshù ||
| endlicher Kettenbruch ||
| finite continued fraction, terminated continued fraction || continued fraction; infinity
| fraction continue finie ||
| 有限連分数 ||
| ゆ↑うげんれんぶ↓んすう ||
|  ||
| коне́чная цепна́я дробь [ж] ||
|-
| 黄金比例，黄金分割率，黄金分割比 ||
| huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ ||
| Goldener Schnitt ||
| golden ratio || ratio; addition; root extraction
| nombre [m] d'or [m], section dorée, proportion dorée ||
| 黄金比 ||
| お↑うご↓んひ ||
|  ||
| золото́е сече́ние, золота́я пропо́рция ||
|-
| 最大公因数，最大公约数 ||
| zuìdà gōngyīnshù, zuìdà gōngyuēshù ||
| größter gemeinsamer Teiler ||
| greatest common divisor, highest common divisor, greatest common factor || integer; division
| plus grand commun diviseur ||
| 最大公約数 ||
| さ↑いだいこうやく↓すう ||
|  ||
| наибо́льшим о́бщим дели́телем ||
|-
| 虚数单位 ||
| xūshù dānwèi ||
| imaginäre Einheit ||
| imaginary unit, unit imaginary number || imaginary number
| unité imaginaire ||
| 虚数単位 ||
| きょ↑すうた↓んい ||
|  ||
| мни́мая едини́ца ||
|-
| 假分数 ||
| jiǎ fēnshù ||
| unechter Bruch, uneigentlicher Bruch ||
| improper fraction || fraction
| fraction impropre ||
| 仮分数 ||
| か↑ぶ↓んすう ||
|  ||
| непра́вильные дро́би ||
|-
| 无限连分数 ||
| wúxiàn liánfēnshù ||
| unendlicher Kettenbruch ||
| infinite continued fraction || continued fraction; infinity
| fraction continue infinie ||
| 無限連分数 ||
| む↑げんれんぶ↓んすう ||
|  ||
| бесконе́чная цепна́я дробь [ж] ||
|-
| 无穷 ||
| wúqióng ||
| Unendlichkeit [f] ||
| infinity || number (abstract idea)
| infini [m] ||
| 無限 ||
| む↑げん ||
|  ||
| бесконе́чность ||
|-
| 反函数 ||
| fǎn hánshù ||
| Umkehrfunktion [f], inverse Funktion ||
| inverse function, anti-function || function <mathematical logic>; inverse mapping
| fonction [f] réciproque ||
| 逆函数 ||
| ぎゃ↑くか↓んすう ||
|  ||
| обра́тная фу́нкция ||
|-
| 逆映射 ||
| nì yìngshè ||
| inverse Abbildung, Umkehrabbildung [f] ||
| inverse mapping || mapping
| bijection [f] réciproque ||
| 逆写像 ||
| ぎゃ↑くしゃ↓ぞう ||
|  ||
| обра́тное отображе́ние ||
|-
| 反比例 ||
| fǎn bǐlì ||
| umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität ||
| inverse proportionality || proportionality
| proportionnalité inverse ||
| 反比例 ||
| は↑んぴれい ||
|  ||
| обра́тная пропорциона́льность ||
|-
| 最简分数，既约分数 ||
| zuìjiǎn fēnshù, jìyuē fēnshù ||
| gekürzter Bruch ||
| irreducible fraction, fraction in lowest terms, simplest form, reduced fraction || fraction; coprime integer
| fraction [f] irréductible ||
| 既約分数 ||
| き↑やくぶ↓んすう ||
|  ||
| несократи́мая дробь ||
|-
| 最小公分母 ||
| zuìxiǎo gōngfēnmǔ ||
| Hauptnenner [m] ||
| least common denominator, lowest common denominator || least common multiple
| plus petit dénominateur commun ||
| 最小公分母 ||
| さ↑いしょうこうぶ↓んぼ ||
|  ||
| наиме́ньший о́бщий знамена́тель ||
|-
| 最小公倍数 ||
| zuìxiǎo gōngbèishù ||
| kleinstes gemeinsames Vielfaches ||
| least common multiple, lowest common multiple, smallest common multiple || integer; division; denominator
| 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 ||
|-
| 长除法 ||
| cháng chúfǎ ||
| Standardmethode [f] der schriftlichen Division [f] ||
| long division || division
| division posée ||
| 長除法  ||
| ちょ↑うじょほう  ||
|  ||
| деле́ние сто́лбиком ||
|-
| 带分数 ||
| dài fēnshù ||
| gemischte Zahl ||
| mixed number || fraction
| nombre [m] mixte ||
| 帯分数 ||
| た↑いぶ↓んすう ||
|  ||
| сме́шанное число́ ||
|-
| 模算术 ||
| mó suànshù ||
| Modulararithmetik [f] ||
| modular arithmetic || integer
| arithmétique [f] modulaire ||
| 合同算術 ||
| ご↑うどうさ↓んじゅつ ||
|  ||
| мо́дульную арифме́тику, модуля́рную арифметику ||
|-
| 乘法表 ||
| chéngfǎ biǎo ||
| Einmaleins [n] ||
| multiplication table || multiplication
| table [f] de multiplication ||
| 九九 ||
| く↓く ||
|  ||
| табли́ца умноже́ния, табли́ца Пифаго́ра ||
|-
| 乘法逆元，倒数 ||
| chéngfǎ nìyuán, dào shù ||
| Kehrwert [m], reziprokes Wert, Reziproke [n] ||
| multiplicative inverse, reciprocal || multiplication; reciprocation
| inverse [m] ||
| 逆数 ||
| ぎゃ↑くす↓う ||
|  ||
| обра́тное число́ ||
|-
| 纳皮尔筹 ||
| Nàpí'ěr chóu ||
| Napier'sche Rechenstäbchen [n pl], Neper'sche Rechenstäbchen [n pl] ||
| Napier's rods, Napier's bones || lattice multiplication
| 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 ||
|-
| 自然对数 ||
| zìrán duìshù ||
| natürlicher Logarithmus ||
| natural logarithm || Euler's number; logarithm
| logarithme naturel, logarithme népérien ||
| 自然対数 ||
| し↑ぜんた↓いすう ||
|  ||
| натура́льный логари́фм ||
|-
| 负数 ||
| fù shù ||
| negative Zahl ||
| negative number || number (abstract idea)
| nombre [m] négatif ||
| 負の数 ||
| ふ↓のすう ||
|  ||
| отрица́тельное число́ ||
|-
| 非负数 ||
| fēifù shù ||
| nichtnegative Zahl ||
| non-negative number || negative number
| nombre [m] non négatif ||
| 負でない数 ||
| ふ↓で↑な↓いすう ||
|  ||
| неотрица́тельное число́ ||
|-
| 非正数 ||
| fēizhèng shù ||
| nichtpositive Zahl ||
| non-positive number || positive number
| nombre [m] non positif ||
| 正でない数 ||
| せ↓いで↑な↓いすう ||
|  ||
| неположи́тельное число́ ||
|-
| 数 ||
| shù ||
| Zahl [f] (abstrakte Identität) ||
| number (abstract identity) || mathematical object <mathematical logic>
| nombre [m] ||
| 数 ||
| か↓ず ||
|  ||
| число́ (абстра́ктная иденти́чность [ж]) ||
|-
| 数字（整个符号） ||
| shù zì (zhěnggè fúhào) ||
| Zahl [f] (Symbol) ||
| number (symbol), numeral || digit
| chiffre [m] (symbole entier) ||
| 数字 ||
| す↑うじ ||
|  ||
| число́ (си́мвол) ||
|-
| 数轴，数线 ||
| shù zhóu, shù xiàn ||
| Zahlengerade [f], Zahlenstrahl [m] ||
| number line || line <geometry>
| ligne [f] numérique ||
| 数直線 ||
| す↑うちょ↓くせん ||
|  ||
| числова́я ось, числова́я пряма́я ||
|-
| 奇数 ||
| jī shù ||
| ungerade Zahl ||
| odd number || natural number; division
| nombre impair ||
| 奇数 ||
| き↑す↓う ||
|  ||
| нечётное число́ ||
|-
| 运算次序，运算顺序 ||
| yùnsuàn cìxù, yùnsuàn shùnxù ||
| Operatorpräzedenz [f], Operatorrangfolge [f] ||
| operator precedence, order of operation <mathematical logic> || basic operation; exponentiation; root extraction
| priorité [f] des opérations [f], ordre [m] des opérations [f] ||
| 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 ||
|-
| 数量级 ||
| shùliàng jí ||
| Größenordnung [f] ||
| order of magnitude || logarithm
| ordre [m] de grandeur ||
| 桁 ||
| け↑た ||
|  ||
| поря́док величи́ны ||
|-
| 奇偶性 ||
| jī'ǒu xìng ||
| Parität [f] ||
| parity || natural number
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|-
|arithmetic
| 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 ||
|算术
| Pascal'sches Dreieck, Chayyām-Dreieck [n], Yang-Hui-Dreieck [n], Tartaglia-Dreieck [n] ||  
|
| Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle || number (symbol); triangle <geometry>
|suàn shù
|  ||  
|
| ||
|Arithmetik [f]
|  ||  
|
| ||
|  ||  
|-
|-
|absolute value, modulus (real number)
| 百分数 ||
|real number
| bǎifēn shù ||
|绝对值
| Prozentsatz [m] ||
|
| percentage || fraction
|juéduì zhí
| ||
|
|  ||  
|Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert
| ||
|
|  ||
|  ||  
|-
|-
|addition
| 进位制，进位计数法，位值计数法 ||
|number, binary operation
| jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ ||
|加法
| Stellenschreibweise [f] ||
|
| positional notation, place-value notation, positional numeral system || numeral system
|jiā fǎ
|  ||  
|
| ||
|Addition [f]
|  ||  
|
| ||
|  ||  
|-
|-
|additive inverse, opposite, negation
| 正数 ||
|addition, number
| zhèng shù ||
|加法逆元, 相反数
| positive Zahl ||
|
| positive number || number (abstract idea)
|jiāfǎ nìyuán, xiāngfǎn shù
| ||
|
|  ||  
|additive Inverse
| ||
|
|  ||  
| ||  
|-
|-
|addend, summand
| 真分数 ||
|addition, operand
| zhēn fēnshù ||
|加数
| echter Bruch, eigentlicher Bruch ||
|
| proper fraction || fraction
|jiā shù
| fraction propre ||  
|
| 真分数 ||
|Summand [m]
| し↑んぶ↓んすう ||  
|
| ||
| пра́вильная дробь ||  
|-
|-
|anticommutative property, anticommutativity
| ||
|operation (mathematics)
|  ||
|反交换律
| ||
|
| proportion || constant; sequence; ratio
|fǎnjiāohuàn lǜ
|  ||  
|
| ||
|Antikommutativgesetz [n], Antikommutativität [f]
|  ||  
|
| ||
|  ||  
|-
|-
|associative property, associativity
| ||
|operation (mathematics)
|  ||
|结合律
| ||
|
| proportionality || proportion
|jiéhé lǜ
|  ||  
|
| ||
|Assoziativgesetz [n], Assoziativität [f]
|  ||  
|
| ||
|  ||  
|-
|-
|augend
| 底数（进制） ||
|addition, operand
| dǐ shù (jìn zhì) ||
|被加数
| Basis [f] (Zahlensystem) ||
|
| radix, base || positional notation
|bèijiā shù
| ||
|
|  ||  
|erster Summand
| ||
|
|  ||  
| ||  
|-
|-
|base (exponentiation)
| 小数点 ||
|exponentiation
| xiǎoshù diǎn ||
|底数（指数）, 基数（指数）
| Radixpunkt [m] ||
|
| radix character || radix
|dǐ shù (zhǐ shù), jīshù (zhǐ shù)
|  ||  
|
| ||
|Basis (Exponentiation) [f]
|  ||  
|
| ||
|  ||  
|-
|-
|base (logarithm)
| 比率，比值 ||  
|logarithm
| bǐ lǜ, bǐ zhí ||
|底数（对数）, 基数（对数）
| Verhältnis [n] ||  
|
| ratio || number (abstract idea)
|dǐ shù (duì shù), jīshù (duì shù)
|  ||
|
|  ||
|Basis (Logarithmus) [f]
|  ||  
|
| ||
|  ||  
|-
|-
|basic operations
| 互反函数 ||
|addition, division, multiplication, subtraction
| hùfǎn hánshù ||
|四则运算
| Reziprokfunktion [f], reziproke Funktion ||
|
| reciprocal function || function; multiplicative inverse
|sìzé yùnsuàn
|  ||  
|
| ||
|Grundrechnungsarten [f,pl]; Grundrechenarten [f,pl]
|  ||  
|
| ||
|  ||  
|-
|-
|binary logarithm
| 循环小数 ||
|logarithm
| xúnhuán xiǎoshù ||
|以 2 为底的对数
| periodische Dezimalzahlen [f pl] ||
|
| repeating decimal, recurring decimal ||
|yǐ èr wéi dǐ de duìshù
|  ||  
|
| ||
|binärer Logarithmus, dualer Logarithmus
|  ||  
|
| ||
|  ||  
|-
|-
|binary number, base-2 numeral system, binary numeral system
| 圆括号，括弧号 ||
|numeral system
| yuán kuòhào, kuòhú hào ||
|二进制
| runde Klammern [f pl] ||
|
| parentheses || operator precedence
|èr jìnzhì
|  ||  
|
| ||
|Dualsystem [n], Zweiersystem [n], Binärsystem [n]
|  ||  
|
| ||
|  ||  
|-
|-
|binary operation, dyadic operation
| ||
|operation (mathematics)
|  ||
|二元运算
| ||
|
| significand || scientific notation
|èryuán yùnsuàn
|  ||  
|
| ||
|zweistellige Verknüpfung, binäre Verknüpfung
|  ||  
|
| ||
|  ||  
|-
|-
|binary relation
| ||
|relation (mathematics)
|  ||
|二元关系
| ||
|
| silver ratio, silver mean || ratio; addition; root extraction
|èryuán guānxi
|  ||  
|
| ||
|binäre Relation
|  ||  
|
| ||
|  ||  
|-
|-
|complex number
| 简分数 ||
|imaginary number, real number
| jiǎn fēnshù ||
|复数
| gemeiner Bruch, gewöhnlicher Bruch ||
|
| simple fraction, common fraction, vulgar fraction || fraction
|fù shù
|  ||  
|
| ||
|komplexe Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|composite number
| 科学计数法 ||
|division, natural number
| kēxué jìshù fǎ ||
|合数, 合成数
| wissenschaftliche Notation ||
|
| scientific notation || significant figures; multiplication; exponentiation
|hé shù, héchéng shù
|  ||  
|
| ||
|zusammengesetzte Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|constant (mathematics)
| 有效数字，有效数位 ||  
|number
| yǒuxiào shùzì, yǒuxiào shùwèi ||  
|常数, 定数
| signifikante Stellen [f pl], signifikante Ziffern [f pl] ||
|
| significant figures, significant digits || rounding
|cháng shù, dìng shù
|  ||
|
|  ||
|Konstante [f], Festwert [m]
|  ||
|
|  ||
|  ||  
|-
|-
|decimal, base-ten
| ||
|integer
|  ||
|十进制
|  ||
|
| square number, perfect square || integer; square <algebra>
|shíjìn zhì
| ||
|
|  ||  
|Dezimalsystem [n], Zehnersystem [n], dekadisches System
| ||
|
|  ||  
| ||  
|-
|-
|decimal logarithm, common logarithm
| 计数符号 ||
|logarithm
| jìshù fúhào ||
|常用对数
| Strichliste [f] ||
|
| tally marks, hash marks || unary system; addition
|chángyòng duìshù
| ||
|
|  ||  
|dekadischer Logarithmus, Zehnerlogarithmus [m]
| ||
|
|  ||
|  ||  
|-
|-
|decimal representation
| 特拉亨伯格速算系統 ||
|number
| Tèlāhēngbógé sùsuàn xìtǒng ||
|小数
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] ||
|
| Trachtenberg system || multiplication
|xiǎo shù
|  ||  
|
| ||
|Dezimaldarstellung [f]
|  ||  
|
| ||
|  ||  
|-
|-
|decimal separator
| 单位分数 ||
|decimal representation, radix character
| dānwèi fēnshù ||
|小数点
| Stammbruch [m] ||
|
| unit fraction || fraction
|xiǎoshù diǎn
|  ||  
|
| ||
|Dezimaltrennzeichen [n]
|  ||  
|
| ||
|  ||  
|-
|-
|degree (root)
| 正整数的唯一分解定理，算术基本定理 ||
|nth root
| zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ ||
|次方根
| Fundamentalsatz [m] der Arithmetik [f] ||
|
| unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic || prime number
|cìfāng gēn
|  ||  
|
| ||
|Wurzelgrad [m]
|  ||  
|
| ||
|  ||  
|-
|-
|denominator
| 零 ||
|fraction, operand
| líng ||
|分母
| Null [f] ||
|
| zero || number (abstract idea)
|fēn mǔ
|  ||  
|
| ||
|Nenner [m]
|  ||  
|
| ||
|  ||  
|-
|-
|dependent variable
| ||
|fraction, operand
|  ||
|因变量
| ||
|
| zero to the power of zero || zero; exponentiation
|yīn biànliàng
|  ||  
|
| ||
|abhängige Variable
|  ||  
|
| ||
|  ||  
|-
|-
|difference
| ||
|subtraction
|  ||
|差
|  ||
|
|  ||
|chā
|  ||
|
|  ||
|Differenz [f]
| ||
|
| ||
|  ||  
|}
 
{| class="wikitable sortable"
|+ analog computer
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|digit
| 模拟计算机 ||
|
| mónǐ jìsuànjī ||
|数字
| Analogrechner [m] ||  
|
| analog computer || basic operation; logarithm; exponentiation
|shù zì
|  ||  
|
| ||
|Ziffer [f]
|  ||  
|
| رایانه قیاسی ||
|  ||  
|-
|-
|distributive property, distributivity
| ||
|operation (mathematics)
| ||
|分配律
| ||
|
|  ||  
|fēnpèi lǜ
| ||
|
|  ||  
|Distributivgesetz [n], Distributivität [f]
| ||
|
|  ||  
|-
|-
|dividend
| 列线图，诺谟图 ||
|fraction, operand
| lièxiàn tú, nuòmò tú ||
|被除数
| Nomogramm [n], Nomographie [f] ||
|
| nomogram, nomograph || analog computer
|bèichú shù
|  ||  
|
| ||
|Dividend [m]
|  ||  
|
| ||
|  ||  
|-
|-
|division
| 计算尺 ||
|number, binary operation
| jìsuàn chǐ ||
|除法
| Rechenschieber [m], Rechenstab [m] ||
|
| slide rule || analog computer
|chú fǎ
|  ||  
|
| ||
|Division [f]
|  ||  
|
| ||
|  ||  
|-
|-
|division by zero
| ||
|division, zero
|  ||
|除以零
|  ||
|
|  ||
|chú yǐ líng
|  ||
|
| ||
|Division [f] durch Null
| ||
|
|  ||  
|}
 
{| class="wikitable sortable"
|+ arithmetic operand
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|division with remainder, Euclidean division
| 算术运算数，算术运算元 ||
|division
| suànshù yùnsuànshù, suànshù yùnsuànyuán ||
|带余除法, 欧几里德除法
| arithmetischer Operand ||
|
| arithmetic operand ||
|dàiyú chúfǎ, Ōujīlǐdé chúfǎ
| opérandeopérande arithmétique ||  
|
| 算術演算子 ||
|Division [f] mit Rest
| さ↑んじゅつえんざ↓んし ||  
|
| ||
| арифмети́ческий опера́нд ||  
|-
|-
|divisor
| ||
|division, operand
|  ||
|除数
| ||
|
| ||
|chú shù
|  ||  
|
| ||
|Divisor [m]
|  ||  
|
| ||
|  ||  
|-
|-
|commutative property, commutativity
| 加数 ||  
|operation (mathematics)
| jiā shù ||  
|交换律
| Summand [m] ||
|
| addend, summand || addition; operand <mathematical logic>
|jiāohuàn lǜ
| cumulateur [m] ||
|
| 加数 ||
|Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f]
| か↑す↓う ||
|
| جَمع وند، عامل جَمع ||
| слага́емое ||  
|-
|-
|Egyptian fraction
| ||
|unit fraction
|  ||
|埃及分数
| ||
|
| antilogarithm ||
|Āijí fēnshù
|  ||  
|
| ||
|Stammbruchzerlegung [f]
|  ||  
|
| ||
|  ||  
|-
|-
|equal sign
| 被加数 ||
|equation
| bèijiā shù ||
|等号
| erster Summand ||
|
| augend, summand || addition; operand <mathematical logic>
|děng hào
|  ||  
|
| 被加数 ||
|Gleichheitszeichen [n], Ist-gleich-Zeichen [n]
| ひ↑か↓すう ||  
|
| مُوَلِفه دُوم جَمع اَعداد ||
| пе́рвое слага́емое ||  
|-
|-
|equality
| 底数（指数），基数（指数） ||
|
| dǐshù (zhǐshù), jīshù (zhǐshù) ||
|相等
| Basis [f] (Exponentiation) ||  
|
| base (exponentiation) || exponentiation
|xiāng děng
|  ||  
|
| ||
|Gleichheit (Mathematik) [f]
|  ||  
|
| پایه (تَوان) ||
|  ||  
|-
|-
|equation
| 底数（对数），基数（对数） ||
|equality, expression (mathematics)
| dǐ shù (duì shù), jī shù (duì shù) ||
|方程, 等式
| Basis [f] (Logarithmus) ||
|
| base (logarithm) || logarithm
|fāngchéng, děng shì
|  ||  
|
| ||
|Gleichung [f]
|  ||  
|
| پایه (عَدَد لُگاریتمی) ||
|  ||  
|-
|-
|Euclid's lemma
| 次方根 ||
|prime number
| cìfāng gēn ||
|欧几里得引理
| Wurzelgrad [m] ||
|
| degree || nth root
|Ōujīlǐdé yǐnlǐ
| degré [m] ||  
|
| ||
|Lemma [n] von Euklid
|  ||  
|
| دَرَجه ||
|  ||  
|-
|-
|e (constant), Euler's number
| 分母 ||
|constant (mathematics)
| fēn mǔ ||
|自然常数, 自然底数, 欧拉数
| Nenner [m] ||
|
| denominator || fraction; operand <mathematical logic>
|zìrán chángshù, zìrán dǐshù, Ōulā shù
| dénominateur [m] ||  
|
| 分母 ||
|Eulersche Zahl
| ぶ↓んぼ ||  
|
| مَخرَج کَسر ||
| знамена́тель [м] ||  
|-
|-
|exponent
| 差 ||
|exponentiation
| chā ||
|幂, 指数
| Differenz [f] ||
|
| difference || subtraction
|mì, zhǐ shù
| différence [f] ||
|
|  ||
|Hochzahl [f], Exponent [m]
|  ||
|
| تَفاضُل ||
|  ||  
|-
|-
|exponentiation
| 被除数 ||
|number, binary operation
| bèichú shù ||
|幂运算, 指数运算
| Dividend [m] ||
|
| dividend || fraction; operand <mathematical logic>
|mì yùnsuàn, zhǐshù yùnsuàn
| dividende [m] ||  
|
| ||
|Potenz (Mathematik) [f]
|  ||  
|
| مَقسوم ||
|  ||  
|-
|-
|expression (mathematics)
| 除数 ||
|symbol (mathematics)
| chú shù ||
|表达式, 表示式, 运算式
| Divisor [m] ||
|
| divisor || division; operand <mathematical logic>
|biǎodá shì, biǎoshì shì, yùnsuàn shì
| diviseur [m] ||
|
|  ||
|Ausdruck (Mathematik) [m]
|  ||
|
| مَقسوم عَلیه ||
|  ||  
|-
|-
|fraction
| 幂，指数 ||
|division, integer
| mì, zhǐ shù ||
|分数
| Hochzahl [f], Exponent [m] ||
|
| exponent || exponentiation
|fēn shù
| exposant [m] ||
|
|  ||
|Bruch [m]
|  ||
|
| نَما، قُوه، تَوان ||
|  ||  
|-
|-
|factorization, factoring
| ||
|object (mathematics)  
|  ||
|因式分解
|  ||
|
| logarithm (operand) ||
|yīnshì fēnjiě
| ||
|
|  ||  
|Faktorisierung (Mathematik) [f]
| ||
|
|  ||  
| ||  
|-
|-
|function (mathematics)
| 被减数 ||
|binary relation, set (mathematics) <set theory>
| bèijiǎn shù ||
|函数
| Minuend [m] ||
|
| minuend || subtraction
|hán shù
|  ||  
|
| ||
|Funktion (Mathematik) [f]
|  ||  
|
| ||
|  ||  
|-
|-
|greater than
| 被乘数 ||
|inequality (mathematics)
| bèichéng shù ||
|大于
| Multiplikand [m] ||
|
| multiplicand, factor || multiplication; operand <mathematical logic>
|dà yú
|  ||  
|
| ||
|größer als
|  ||  
|
| ||
|  ||  
|-
|-
|greater than or equal to
| 乘数 ||
|inequality (mathematics), equality
| chéng shù ||
|大于等于
| Multiplikator [m] ||
|
| multiplier, factor || multiplication; operand <mathematical logic>
|dàyú děngyú
| ||
|
|  ||  
|größer als oder gleich
| ||
|
|  ||  
| ||  
|-
|-
|hexadecimal, base 16, hex
| 分子 ||
|numeral system
| fēn zǐ ||
|十六进制
| Zähler [m] ||
|
| numerator || fraction; operand <mathematical logic>
|shíliù jìnzhì
|  ||  
|
| ||
|Hexadezimalsystem [n], Sedezimalsystem [n]
|  ||  
|
| ||
|  ||  
|-
|-
|imaginary unit, unit imaginary number
| ||
|imaginary number
|  ||
|虚数单位
| ||
|
| power ||
|xūshù dānwèi
|  ||  
|
| ||
|imaginäre Einheit
|  ||  
|
| ||
|  ||  
|-
|-
|imaginary number
| 积 ||
|negative number, exponentiation
| jī ||
|虚数
| Produkt [n] ||
|
| product || multiplication
|xū shù
|  ||  
|
| ||
|imaginäre Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|imaginary axis
| 商 ||
|imaginary line (mathematics)
| shāng ||
|虚轴
| Quotient [f] ||
|
| quotient || division
|xū zhóu
|  ||  
|
| ||
|imaginäre Achse
|  ||  
|
| ||
|  ||  
|-
|-
|imaginary line (mathematics)
| ||
|line <geometry>, point <geometry>, imaginary number
|  ||
|虚数线
| ||
|
| radicant ||
|xūshù xiàn
|  ||  
|
| ||
|imaginäre Linie
|  ||  
|
| ||
|  ||  
|-
|-
|improper fraction
| 余数 ||
|fraction
| yú shù ||
|假分数
| Rest [m], Teilungsrest [m] ||
|
| remainder || division with remainder
|jiǎ fēnshù
|  ||  
|
| ||
|unechter Bruch, uneigentlicher Bruch
|  ||  
|
| ||
|  ||  
|-
|-
|independent variable, argument of a function
| 根 ||
|function (mathematics)
| gēn ||
|自变量
| Wurzel [f] ||
|
| root || nth root
|zì biànliàng
|  ||  
|
| ||
|unabhängige Variable
|  ||  
|
| ||
|  ||  
|-
|-
|inequation
| 减数 ||
|inequality (mathematics)
| jiǎn shù ||
|不等式
| Subtrahend [m] ||
|
| subtrahend || subtraction
|bùděng shì
|  ||  
|
| ||
|Ungleichung [f]
|  ||  
|
| ||
|  ||  
|-
|-
|inequality (mathematics)
| 和 ||
|
| hé ||  
|不等
| Summe [f] ||
|
| sum || addition
|bù děng
|  ||  
|
| ||
|Ungleichheit [f]
|  ||  
|
| ||
|  ||  
|-
|-
|integer
| ||
|natural number, negative number
|  ||
|整数
|  ||
|
|  ||
|zhěng shù
|  ||
|
|  ||
|Ganzzahl [f], ganze Zahl
| ||
|
| ||
|  ||  
|}
 
{| class="wikitable sortable"
|+ arithmetic operation
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|inverse function, anti-function
| ||
|function (mathematics)
|  ||
|反函数
| ||
|
| arithmetic operation || binary operation
|fǎn hánshù
|  ||  
|
| ||
|Umkehrfunktion [f], inverse Funktion
|  ||  
|
| ||
|  ||  
|-
|-
|irrational number
| ||
|rational number, real number
|  ||
|无理数
| ||
|
| ||
|wúlǐ shù
|  ||  
|
| ||
|irrationale Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|less than
| 加法 ||
|inequality (mathematics)
| jiā fǎ ||
|小于
| Addition [f] ||
|
| addition || number (abstract idea); binary operation <mathematical logic>
|xiǎo yú
| addition [f] ||
|
|  ||  
|kleiner als
| ||
|
| جَمع ||  
| ||  
|-
|-
|less than or equal to
| 除法 ||
|inequality (mathematics), equality
| chú fǎ ||
|小于等于
| Division [f] ||
|
| division || number (abstract idea); binary operation <mathematical logic>
|xiǎoyú děngyú
| division [f] ||
|
|  ||  
|kleiner als oder gleich
| ||
|
| تَقسیم ||  
| ||  
|-
|-
|logarithm
| 幂运算，指数运算 ||
|number, binary operation
| mì yùnsuàn, zhǐshù yùnsuàn ||
|对数
| Potenz [f] ||
|
| exponentiation || number (abstract idea); binary operation <mathematical logic>
|duì shù
| ||
|
|  ||  
|Logarithmus [m]
| ||
|
| تَوان ||  
| ||  
|-
|-
|minuend
| 带余除法，欧几里德除法 ||
|subtraction
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ ||
|被减数
| Division [f] mit Rest [m] ||
|
| division with remainder, Euclidean division || division
|bèijiǎn shù
|  ||  
|
| ||
|Minuend [m]
|  ||  
|
| تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی ||
|  ||  
|-
|-
|minus sign
| 对数 ||
|subtraction, negative number
| duì shù ||
|减号
| Logarithmus [m] ||
|
| logarithm (operation) || number (abstract idea); binary operation <mathematical logic>
|jiǎn hào
| logarithme [m] ||
|
|  ||  
|Minuszeichen [n]
| ||
|
|  ||  
| ||  
|-
|-
|mixed number
| 乘法 ||
|fraction
| chéng fǎ ||
|带分数
| Multiplikation [f] ||
|
| multiplication || number (abstract idea); binary operation <mathematical logic>
|dài fēnshù
|  ||  
|
| ||
|gemischte Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|modular arithmetic
| 次方根 ||
|integer
| cìfāng gēn ||
|模算术
| Wurzel [f] , Radikal [n] ||
|
| nth root || binary operation <mathematical logic>
|mó suànshù
|  ||  
|
| ||
|Modulararithmetik [f]
|  ||  
|
| ||
|  ||  
|-
|-
|multiplicand
| 开方 ||
|multiplication, operand
| kāi fāng ||
|被乘数
| Radizieren [n] ||
|
| root extraction || nth root
|bèichéng shù
|  ||  
|
| ||
|Multiplikand [m]
|  ||  
|
| ||
|  ||  
|-
|-
|multiplier
| 减法 ||
|multiplication, operand
| jiǎn fǎ ||
|乘数
| Subtraktion [f], Abziehen [n], Abzug [m] ||
|
| subtraction || number (abstract idea); binary operation <mathematical logic>
|chéng shù
|  ||  
|
| ||
|Multiplikator [m]
|  ||  
|
| ||
|  ||  
|-
|-
|multiplication
| ||
|number, binary operation
|  ||
|乘法
|  ||
|
|  ||
|chéng fǎ
|  ||
|
|  ||
|Multiplikation [f]
| ||
|
| ||
|  ||  
|}
 
{| class="wikitable sortable"
|+ arithmetic symbol
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|multiplicative inverse, reciprocal
| 算术符号 ||
|multiplication, reciprocation
| suànshù fúhào ||
|乘法逆元, 倒数
| arithmetisches Symbol ||
|
| arithmetic symbol ||
|chéngfǎ nìyuán, dào shù
|  ||  
|
| ||
|Kehrwert [m]
|  ||  
|
| ||
|  ||  
|-
|-
|natural logarithm
| ||
|e (constant), logarithm
|  ||
|自然对数
| ||
|
| ||
|zìrán duìshù
|  ||  
|
| ||
|natürlicher Logarithmus
|  ||  
|
| ||
|  ||  
|-
|-
|natural number, counting number
| ||
|number
|  ||
|自然数
| ||
|
| division sign ||
|zìrán shù
|  ||  
|
| ||
|natürliche Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|negative number
| 减号 ||
|number
| jiǎn hào ||
|负数
| Minuszeichen [n] ||
|
| minus sign || subtraction; negative number
|fù shù
| ||
|
| ||
|negative Zahl
|  ||  
|
| ||
| ||  
|-
|-
|notation (mathematics)
| ||
|numeral, symbol (mathematics)
|  ||
|符号（数学）
| ||
|
| multiplication sign ||
|fúhào (shùxué)
|  ||  
|
| ||
|Notation (Mathematik) [f]
|  ||  
|
| ||
|  ||  
|-
|-
|non-negative number
| 百分号 ||
|negative number
| bǎifēn hào ||
|非负数
| Prozentzeichen [n] ||
|
| percent sign || percentage
|fēifù shù
|  ||  
|
| ||
|nichtnegative Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|non-positive number
| 加号 ||
|positive number
| jiā hào ||
|非正数
| Pluszeichen [n] ||
|
| plus sign || addition; positive number
|fēizhèng shù
| ||
|
|  ||  
|nichtpositive Zahl
| ||
|
|  ||  
| ||  
|-
|-
|nth root
| ||
|binary operation
|  ||
|次方根
|  ||
|
|  ||
|cìfāng gēn
|  ||
|
|  ||
|Wurzel (Mathematik) [f], Radikal (Mathematik) [n]
| ||
|
| ||
|  ||  
|}
 
{| class="wikitable sortable"
|+ mechanical calculator
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
| 机械计算器 ||
|digit, symbol (mathematics)
| jīxiè jìsuànqì ||
|数字
| Rechenmaschine [f] ||
|
| mechanical calculator, calculating machine || basic operation
|shù zì
| calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique ||
|
| 機械式計算機 ||
|Zahl [f], Ziffer [f]
| き↓かいしきけ↑いさ↓んき ||
|
|  ||
| вычисли́тельная маши́на, счётная маши́на ||  
|-
|-
|number
| ||
|numeral, object (mathematics)
| ||
|数字
| ||
|
|  ||  
|shù zì
| ||
|
|  ||  
|Zahl [f]
| ||
|
|  ||  
|-
|-
|number line
| 算盘 ||
|line <geometry>
| suàn pan ||
|数轴, 数线
| Abakus [m] ||
|
| abacus || mechanical calculator
|shù zhóu, shù xiàn
|  ||  
|
| ||
|Zahlengerade [f], Zahlenstrahl [m]
|  ||  
|
| چُرتکه ||
|  ||  
|-
|-
|numeral system
| 滚轮式加法器，帕斯卡计算器 ||
|notation (mathematics)
| gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì ||
|数制, 记数系统, 记数法
| Pascaline [f] ||
|
| Pascal's calculator, arithmetic machine, Pascaline || machine calculator
|shù zhì, jìshù xìtǒng, jìshù fǎ
| pascaline [f], machine [f] d’arithmétique, roue [f] pascaline ||
|
| パスカリン ||  
|Zahlensystem [n]
| パ↑スカ↓リン ||
|
|  ||
| суммирующая машина Паска́ля, Паскали́на ||  
|-
|-
|numerator
| ||
|fraction, operand
| ||
|分子
| ||
|
|  ||
|fēn zǐ
|  ||
|
|  ||
|Zähler [m]
|  ||
|  ||  
|}
 
{| class="wikitable sortable"
|+ multiplication algorithm
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|object (mathematics)
| ||
|
|  ||
|物体（数学）
|  ||  
|
| multiplication algorithm ||
|wù tǐ (shù xué)
|  ||  
|
| ||
|Objekt (Mathematik) [n]
|  ||  
|
| ||
|  ||  
|-
|-
|octal, oct
| ||
|numeral system
|  ||
|八进制
| ||
|
| ||
|bā jìnzhì
|  ||  
|
| ||
|Oktalsystem [n]
|  ||  
|
| ||
|  ||  
|-
|-
|operand
| 格子乘法，铺地锦算法 ||  
|operation (mathematics)
| gézi chéngfǎ, pūdìjǐn suànfǎ ||
|运算数, 运算元
| Gittermethode [f] ||  
|
| lattice multiplication || multiplication
|yùnsuàn shù, yùnsuàn yuán
| multiplication [f] par jalousies [f pl] ||
|
| 格子掛け算 ||
|Operand [m]
| こ↑うしかけ↓ざん ||
|
|  ||
| решёточное умноже́ние ||  
|-
|-
|operation (mathematics)
| 长乘法 ||
|number
| cháng chéngfǎ ||
|运算
| Standardmethode [f] der schriftlichen Multiplikation ||
|
| long multiplication || multiplication
|yùnsuàn
|  ||  
|
| ||
|Verknüpfung (Mathematik)
|  ||  
|
| ||
|  ||  
|-
|-
|operator precedence, order of operations
| 农夫算法 ||
|basic operations, exponentiation, root extraction
| nóngfū suànfǎ ||
|运算次序, 运算顺序
| russische Bauernmultiplikation ||
|
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication
|yùnsuàn cìxù, yùnsuàn shùnxù
| ||
|
|  ||  
|Operatorpräzedenz [f], Operatorrangfolge [f]
| ||
|
|  ||  
| ||  
|-
|-
|percentage
| ||
|fraction
|  ||
|百分数
|  ||
|
| ||
|bǎifēn shù
|  ||
|
|  ||
|Prozentsatz [m]
|  ||
|
| ||
|  ||  
|}
 
{| class="wikitable sortable"
|+ number system
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|percent sign
| ||
|percentage
|  ||
|百分号
| ||
|
| number system ||
|bǎifēn hào
|  ||  
|
| ||
|Prozentzeichen [n]
|  ||  
|
| ||
|  ||  
|-
|-
|pi, Archimedes' constant
| ||
|constant (mathematics), ratio, circumstance <geometry>, diameter <geometry>
|  ||
|圆周率
| ||
|
| ||
|yuánzhōu lǜ
|  ||  
|
| ||
|Pi [n], Kreiszahl [f]
|  ||  
|
| ||
|  ||  
|-
|-
|plus sign
| ||
|addition, positive number
|  ||
|加号
|  ||
|
| algebraic number || complex number; root <algebra>
|jiā hào
| ||
|
|  ||  
|Pluszeichen [n]
| ||
|
|  ||  
| ||  
|-
|-
|positional notation, place-value notation, positional numeral system
| 复数 ||
|numeral system
| fù shù ||
|进位制, 进位计数法, 位值计数法
| komplexe Zahl ||
|
| complex number || imaginary number; real number
|jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ
| nombre [m] complexe ||  
|
| ||
|Stellenschreibweise [f]
|  ||  
|
| اَعدادِ مُختَلِط ||
|  ||  
|-
|-
|positive number
| 合数，合成数 ||
|number
| hé shù, héchéng shù ||
|正数
| zusammengesetzte Zahl ||
|
| composite number || division; natural number
|zhèng shù
| ||
|
|  ||  
|positive Zahl
| ||
|
| عَدَد مُرَکَب، عَدَد غِیر اَول ||  
| ||  
|-
|-
|prime number, prime
| 分数 ||
|product (mathematics), natural number
| fēn shù ||
|质数, 素数
| Bruch [m] ||
|
| fraction || division; integer
|zhì shù, sù shù
| fraction [f] ||
|
|  ||
|Primzahl [f]
|  ||
|
| کَسر ||
|  ||  
|-
|-
|product (mathematics)
| 虚数 ||
|multiplication
| xū shù ||
|积
| imaginäre Zahl ||
|
| imaginary number || negative number; exponentiation
|jī
| nombre [m] imaginaire ||  
|
| ||
|Produkt (Mathematik) [n]
|  ||  
|
| ||
|  ||  
|-
|-
|proper fraction
| 整数 ||
|fraction
| zhěng shù ||
|真分数
| Ganzzahl [f], ganze Zahl ||
|
| integer || natural number; negative number
|zhēn fēnshù
| entier ||  
|
| ||
|echter Bruch, eigentlicher Bruch
|  ||  
|
| ||
|  ||  
|-
|-
|quotient
| 无理数 ||
|division
| wúlǐ shù ||
|商
| irrationale Zahl ||
|
| irrational number || rational number; real number
|shāng
|  ||  
|
| ||
|Quotient [f]
|  ||  
|
| ||
|  ||  
|-
|-
|radix, base
| 自然数 ||
|positional notation
| zìrán shù ||
|底数（进制）
| natürliche Zahl ||
|
| natural number, counting number || number (abstract idea)
|dǐ shù (jìn zhì)
|  ||
|
|  ||
|Basis (Zahlensystem) [f]
|  ||  
|
| ||
|  ||  
|-
|-
|radix character
| 质数，素数 ||
|radix
| zhì shù, sù shù ||
|小数点
| Primzahl [f] ||
|
| prime number, prime || product; natural number
|xiǎoshù diǎn
|  ||  
|
| ||
|Radixpunkt [m]
|  ||  
|
| ||
|  ||  
|-
|-
|ratio
| 有理数 ||
|number
| yǒulǐ shù ||
|比率, 比值
| rationale Zahl ||
|
| rational number || fraction; integer
|bǐ lǜ, bǐ zhí
| ||
|
|  ||  
|Verhältnis [n]
| ||
|
|  ||  
| ||  
|-
|-
|rational number
| 实数 ||
|fraction, integer
| shí shù ||
|有理数
| reelle Zahl ||
|
| real number || rational number
|yǒulǐ shù
| ||
|
| ||
|rationale Zahl
|  ||  
|
| ||
| ||  
|-
|-
|real axis
| ||
|real line
|  ||
|实轴
| ||
|
| transcendental number || algebraic number
|shí zhóu
|  ||  
|
| ||
|reelle Achse
|  ||  
|
| ||
|  ||  
|-
|-
|real line
| ||
|line <geometry>, point <geometry>, real number
|  ||
|实数线
|  ||
|
|  ||
|shíshù xiàn
|  ||
|
| ||
|reelle Linie
| ||
|
|  ||  
| ||
|}
 
{| class="wikitable sortable"
|+ numeral system
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|real number
| 数制，记数系统，记数法 ||
|rational number
| shù zhì, jìshù xìtǒng, jìshù fǎ ||
|实数
| Zahlensystem [n] ||
|
| numeral system || notation <linguistics>
|shí shù
|  ||  
|
| ||
|reelle Zahl
|  ||  
|
| ||
|  ||  
|-
|-
|reciprocal function
| ||
|function, multiplicative inverse
|  ||
|互反函数
| ||
|
| ||
|hùfǎn hánshù
|  ||  
|
| ||
|Reziprokfunktion [f], reziproke Funktion
|  ||  
|
| ||
|  ||  
|-
|-
|relation (mathematics)
| 二进制 ||
|set (mathematics) <set theory>
| èrjìn zhì ||
|关系（数学）
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
|
| binary system || numeral system
|guānxi (shù xué)
| système [m] binaire ||  
|
| ||
|Relation (Mathematik) [f]
|  ||  
|
| سیستِم باینِری ||
|  ||  
|-
|-
|remainder
| 十进制 ||  
|division with remainder
| shíjìn zhì ||  
|余数
| Dezimalsystem [n], Zehnersystem [n], dekadisches System ||
|
| decimal, base-ten || integer
|yú shù
|  ||
|
|  ||
|Rest [m], Teilungsrest [m]
|  ||
|
| دِسیمال، اَعداد بَر پایه دَه ||
|  ||  
|-
|-
|root (mathematics)
| 十六进制 ||
|nth root
| shíliùjìn zhì ||
|根
| Hexadezimalsystem [n], Sedezimalsystem [n] ||
|
| hexadecimal, base 16, hex || numeral system
|gēn
|  ||  
|
| ||
|Wurzel [f]
|  ||  
|
| ||
|  ||  
|-
|-
|root extraction
| 八进制 ||
|nth root
| bājìn zhì ||
|开方
| Oktalsystem [n] ||
|
| octal, oct || numeral system
|kāi fāng
|  ||  
|
| ||
|Radizieren [n]
|  ||  
|
| ||
|  ||  
|-
|-
|parentheses
| 一进制 ||
|operator precedence
| yījìn zhì ||
|圆括号, 括弧号
| Unärsystem [n] ||
|
| unary system || numeral system
|yuán kuòhào, kuòhú hào
|  ||  
|
| ||
|runde Klammern [f,pl]
|  ||  
|
| ||
|  ||  
|-
|-
|simple fraction, common fraction, vulgar fraction
| ||
|fraction
|  ||
|简分数
|  ||
|
|  ||
|jiǎn fēnshù
|  ||
|
| ||
|gemeiner Bruch, gewöhnlicher Bruch
| ||
|
|  ||  
| ||
|}
 
{| class="wikitable sortable"
|+ rounding
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
|-
|subtraction
| 数值修约 ||  
|number, binary operation
| shùzhí xiūyuē ||  
|减法
| Runden [n], Rundung [f] ||
|
| rounding || decimal representation
|jiǎn fǎ
|  ||
|
|  ||
|Subtraktion [f], Abziehen [n], Abzug [m]
|  ||
|
|  ||
|  ||  
|-
|-
|subtrahend
| ||
|subtraction
|  ||
|被减数
| ||
|
| ||
|bèijiǎn shù
|  ||  
|
| ||
|Subtrahend [m]
|  ||  
|
| ||
|  ||  
|-
|-
|sum
| 无条件简化 ||
|addition
| wútiáojiàn jiǎnhuà ||
|和
| ||
|
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero
|hé
|  ||  
|
| ||
|Summe [f]
|  ||  
|
| رُند کَردن ||
|  ||  
|-
|-
|symbol (mathematics)
| 向无穷取整 ||
|
| xiàng wúqióng qǔzhěng ||
|符号（数学）
| Wegrunden [n] von Null [f] ||  
|
| rounding away from zero, rounding towards infinity || rounding
|fúhào (shù xué)
|  ||  
|
| ||
|Symbol (Mathematik) [n]
|  ||  
|
| ||
|  ||  
|-
|-
|unary numeral system
| 向下取整 ||
|numeral system
| xiàng xià qǔzhěng ||
|一进制
| Abrunden [n] ||
|
| rounding down, rounding towards negative infinity || rounding
|yī jìnzhì
|  ||  
|
| ||
|Unärsystem [n]
|  ||  
|
| ||
|  ||  
|-
|-
|unit fraction
| 向零取整 ||
|fraction
| xiàng líng qǔzhěng ||
|单位分数
| Runden [n] gegen Null [f] ||
|
| rounding towards zero, rounding away from infinity || rounding
|dānwèi fēnshù
|  ||  
|
| ||
|Stammbruch [m]
|  ||  
|
| ||
|  ||  
|-
|-
|unique-prime-factorization theorem, unique factorization theorem, fundamental theorem of arithmetic
| 向上取整 ||
|prime number
| xiàng shàng qǔzhěng ||
|正整数的唯一分解定理, 算术基本定理
| Aufrunden [n] ||
|
| rounding up, rounding towards positive infinity || rounding
|zhèng zhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ
|  ||  
|
| ||
|Fundamentalsatz [m] der Arithmetik
|  ||  
|
| ||
|  ||  
|-
|-
|zero
| ||
|number
|  ||
|零
| ||
|
| ||
|líng
|  ||  
|
| ||
|Null [f]
|  ||  
|
| ||
|  ||  
|}
|}


[[Category:Sci-Tech_Index]]
{| class="wikitable sortable"
|+ sequence
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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"
|+ theorem about prime numbers
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
<center>
https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/Sierpinski_Pascal_triangle.svg/2341px-Sierpinski_Pascal_triangle.svg.png
</center>
 
{{Sci-Tech-Index-Menu}}
 
==Other Lessons==
* [[Language/Multiple-languages/Vocabulary/Tribology|Tribology]]
* [[Language/Multiple-languages/Vocabulary/Probability-Theory|Probability Theory]]
* [[Language/Multiple-languages/Vocabulary/Emotions-in-many-languages|Emotions in many languages]]
* [[Language/Multiple-languages/Vocabulary/Greetings-Afternoon-greeting|Greetings Afternoon greeting]]
* [[Language/Multiple-languages/Vocabulary/Collocations-with-Save|Collocations with Save]]
* [[Language/Multiple-languages/Vocabulary/Cinema-in-many-languages|Cinema in many languages]]
* [[Language/Multiple-languages/Vocabulary/Greetings-Where-are-you-going|Greetings Where are you going]]
* [[Language/Multiple-languages/Vocabulary/Information-Theory|Information Theory]]
* [[Language/Multiple-languages/Vocabulary/Collocations-with-take|Collocations with take]]
* [[Language/Multiple-languages/Vocabulary/Comparative-Etymology|Comparative Etymology]]
<span links></span>

Latest revision as of 13:11, 27 March 2023

Hello polyglots, 😀

On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

cmn-Hans-CN: 科目 cmn-Latn.Pinyin-CN: kēmù deu-Latn-DE: Fach [n] eng-Latn-US: subject fra-Latn-FR: matière [f] jpn-Jpan-JP: 科目 jpn-Hrkt-JP: か↑もく pes-Aran-IR: رِشته rus-Cyrl-RU: предме́т
算术 suàn shù Arithmetik [f] arithmetic arithmétique [f] 算数，算術 さ↑んす↓う，さ↑んじゅつ علمِ حِساب‎ арифме́тика
代数数论 dàishù shùlùn algebraische Zahlentheorie algebraic number theoryarithmetic; algebra 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
解析数论 jiěxī shùlùn analytische Zahlentheorie analytic number theoryarithmetic; mathematical analysis 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

Arithmetic[edit | edit source]

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] eng-Latn-US: concept eng-Latn-US: prerequisite 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
绝对值，模 juéduì zhí, mó Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert absolute value, modulus real number valeur absolue, module [m] 絶対値，母数 ぜ↑った↓いち，ぼ↑す↓う قَدرِ مُطلَق абсолю́тная величина́, мо́дуль [м]
加法逆元，相反数 jiāfǎ nìyuán, xiāngfǎn shù Gegenzahl [f] additive inverse, opposite, negation addition; number (abstract idea) opposé [m] 反数 は↓んすう وارون اَفزایِِشی противополо́жное число́
四则运算 sìzé yùnsuàn Grundrechnungsarten [f pl], Grundrechenarten [f pl] basic operation addition; division; multiplication; subtraction چهار عَمَل اَصلی
以二为底的对数 yǐ èr wéi dǐ de duìshù binärer Logarithmus, dualer Logarithmus binary logarithm logarithm logarithme [m] binaire لُگاریتم باینِری، لُگاریتم دو دویی
指算法 zhǐsuàn fǎ Chisanbop [n] chisanbop addition; subtraction 指算法 ゆ↑びさ↓んぽう مُحاسِبه اَنگُشتی
公差 gōng chā common difference arithmetic progression; difference <number theory> 公差 こ↓うさ
公比 gōng bǐ common ratio geometic progression; ratio <number theory> 公比 こ↓うひ
共轭复数 gòng'è fùshù komplexe Konjugation complex conjugate complex number conjugué [m] 複素共役 ふ↑くそきょ↓うやく сопряжённые чи́сла
常数，定数 cháng shù, dìng shù Konstante [f], Festwert [m] constant number (abstract idea) constante [f] 定数，常数 て↑いす↓う，じょ↑うす↓う ثابِت постоя́нная, конста́нта
连分数，繁分数 lián fēnshù, fán fēnshù Kettenbruch [m] continued fraction integer part; multiplicative inverse fraction continue 連分数 れ↑んぶ↓んすう непреры́вная дробь [ж], цепна́я дробь [ж]
互质数 hùzhì shù teilerfremde Zahlen [f pl] coprime numbers, relatively prime numbers, mutually prime numbers prime number; divisor nombres [m pl] premiers entre eux 互いに素 た↑がいに↓そ взаи́мно просты́е чи́сла
算筹，算子 suàn chóu, suàn zǐ Zählstäbe [m pl] counting rods basic operation baguettes [f pl] à calculer 算木，算籌 さ↓んぎ，さん↓ちゅう میله های شُمارِش счётные па́лочки
古氏积木 Gǔshì jīmù Cuisenaire-Stäbchen [n pl] Cuisenaire rods basic operations réglettes [f pl] Cuisenaire
小数 xiǎo shù Dezimalbruch [m], Zehnerbruch [m] decimal fraction decimal representation fraction décimale 小数 しょ↑うす↓う десяти́чная дробь [ж]
常用对数 chángyòng duìshù dekadischer Logarithmus, Zehnerlogarithmus [m] decimal logarithm, common logarithm logarithm لُگاریتم بَر پایه دَه
小数表示法 xiǎoshù biǎoshì fǎ Dezimaldarstellung [f] decimal representation number (symbol) développement décimal 小数表記法 しょ↑うすうひょ↓うきほう نَمایِِش اَعشاری، نَمایش دَهدَهی десяти́чное представле́ние
小数点 xiǎoshù diǎn Dezimaltrennzeichen [n] decimal separator decimal representation; radix character séparateur décimal 小数点 しょ↑うす↓うてん مُمَیِِز десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я
数字（单个符号） shù zì (dāngè fúhào) Ziffer [f] digit number (abstract idea); symbol chiffre [m] (symbole individuel) 数字（個々の符号） す↑うじ（こ↓このふ↑ごう） رَقَم ци́фра
正比例 zhèng bǐlì direkte Proprotionalität direct proportionality proportionality proportionnalité directe 正比例 せ↑いひ↓れい пряма́я пропорциона́льность [ж]
丢番图逼近 Diūfāntú bījìn diophantische Approximation Diophantine approximation real number 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
除以零 chú yǐ líng Division [f] durch Null [f] division by zero division; zero division [f] par zéro تَقسیم بَر صِفر
埃及分数 Āijí fēnshù Stammbruchzerlegung [f] Egyptian fraction unit fraction 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
工程计数法 gōngchéng jìshù fǎ technische Notation engineering notation scientific notation notation [f] ingénieur نَماد مُهَندِسی инжене́рная нота́ция
欧几里得引理 Ōujīlǐdé yǐnlǐ Lemma [n] von Euklid Euclid's lemma prime number 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
自然常数，自然底数，欧拉常数 zìrán chángshù, zìrán dǐshù, Ōulā chángshù eulersche Zahl Euler's number, e constant 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
偶数 ǒu shù gerade Zahl even number natural number; division nombre pair 偶数 ぐ↑うす↓う عَدَد زوج чётное число́
二进制指算法 èrjìnzhì zhǐsuànfǎ binär zählen mit Fingern [m pl] finger binary addition; subtraction; binary system 二進指数え法 に↑しんゆびかぞえほ↓う مُحاسِبه اَنگُشتی باینِری، مُحاسِبه اَنگُشتی دودویی
因式分解 yīnshì fēnjiě Faktorisierung [f] factorization, factoring mathematical object <mathematical logic> factorisation [f] فاکتورسازی
有限连分数 yǒuxiàn liánfēnshù endlicher Kettenbruch finite continued fraction, terminated continued fraction continued fraction; infinity fraction continue finie 有限連分数 ゆ↑うげんれんぶ↓んすう коне́чная цепна́я дробь [ж]
黄金比例，黄金分割率，黄金分割比 huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ Goldener Schnitt golden ratio ratio; addition; root extraction nombre [m] d'or [m], section dorée, proportion dorée 黄金比 お↑うご↓んひ золото́е сече́ние, золота́я пропо́рция
最大公因数，最大公约数 zuìdà gōngyīnshù, zuìdà gōngyuēshù größter gemeinsamer Teiler greatest common divisor, highest common divisor, greatest common factor integer; division plus grand commun diviseur 最大公約数 さ↑いだいこうやく↓すう наибо́льшим о́бщим дели́телем
虚数单位 xūshù dānwèi imaginäre Einheit imaginary unit, unit imaginary number imaginary number unité imaginaire 虚数単位 きょ↑すうた↓んい мни́мая едини́ца
假分数 jiǎ fēnshù unechter Bruch, uneigentlicher Bruch improper fraction fraction fraction impropre 仮分数 か↑ぶ↓んすう непра́вильные дро́би
无限连分数 wúxiàn liánfēnshù unendlicher Kettenbruch infinite continued fraction continued fraction; infinity fraction continue infinie 無限連分数 む↑げんれんぶ↓んすう бесконе́чная цепна́я дробь [ж]
无穷 wúqióng Unendlichkeit [f] infinity number (abstract idea) infini [m] 無限 む↑げん бесконе́чность
反函数 fǎn hánshù Umkehrfunktion [f], inverse Funktion inverse function, anti-function function <mathematical logic>; inverse mapping fonction [f] réciproque 逆函数 ぎゃ↑くか↓んすう обра́тная фу́нкция
逆映射 nì yìngshè inverse Abbildung, Umkehrabbildung [f] inverse mapping mapping bijection [f] réciproque 逆写像 ぎゃ↑くしゃ↓ぞう обра́тное отображе́ние
反比例 fǎn bǐlì umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität inverse proportionality proportionality proportionnalité inverse 反比例 は↑んぴれい обра́тная пропорциона́льность
最简分数，既约分数 zuìjiǎn fēnshù, jìyuē fēnshù gekürzter Bruch irreducible fraction, fraction in lowest terms, simplest form, reduced fraction fraction; coprime integer fraction [f] irréductible 既約分数 き↑やくぶ↓んすう несократи́мая дробь
最小公分母 zuìxiǎo gōngfēnmǔ Hauptnenner [m] least common denominator, lowest common denominator least common multiple plus petit dénominateur commun 最小公分母 さ↑いしょうこうぶ↓んぼ наиме́ньший о́бщий знамена́тель
最小公倍数 zuìxiǎo gōngbèishù kleinstes gemeinsames Vielfaches least common multiple, lowest common multiple, smallest common multiple integer; division; denominator 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
长除法 cháng chúfǎ Standardmethode [f] der schriftlichen Division [f] long division division division posée 長除法 ちょ↑うじょほう деле́ние сто́лбиком
带分数 dài fēnshù gemischte Zahl mixed number fraction nombre [m] mixte 帯分数 た↑いぶ↓んすう сме́шанное число́
模算术 mó suànshù Modulararithmetik [f] modular arithmetic integer arithmétique [f] modulaire 合同算術 ご↑うどうさ↓んじゅつ мо́дульную арифме́тику, модуля́рную арифметику
乘法表 chéngfǎ biǎo Einmaleins [n] multiplication table multiplication table [f] de multiplication 九九 く↓く табли́ца умноже́ния, табли́ца Пифаго́ра
乘法逆元，倒数 chéngfǎ nìyuán, dào shù Kehrwert [m], reziprokes Wert, Reziproke [n] multiplicative inverse, reciprocal multiplication; reciprocation inverse [m] 逆数 ぎゃ↑くす↓う обра́тное число́
纳皮尔筹 Nàpí'ěr chóu Napier'sche Rechenstäbchen [n pl], Neper'sche Rechenstäbchen [n pl] Napier's rods, Napier's bones lattice multiplication 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
自然对数 zìrán duìshù natürlicher Logarithmus natural logarithm Euler's number; logarithm logarithme naturel, logarithme népérien 自然対数 し↑ぜんた↓いすう натура́льный логари́фм
负数 fù shù negative Zahl negative number number (abstract idea) nombre [m] négatif 負の数 ふ↓のすう отрица́тельное число́
非负数 fēifù shù nichtnegative Zahl non-negative number negative number nombre [m] non négatif 負でない数 ふ↓で↑な↓いすう неотрица́тельное число́
非正数 fēizhèng shù nichtpositive Zahl non-positive number positive number nombre [m] non positif 正でない数 せ↓いで↑な↓いすう неположи́тельное число́
数 shù Zahl [f] (abstrakte Identität) number (abstract identity) mathematical object <mathematical logic> nombre [m] 数 か↓ず число́ (абстра́ктная иденти́чность [ж])
数字（整个符号） shù zì (zhěnggè fúhào) Zahl [f] (Symbol) number (symbol), numeral digit chiffre [m] (symbole entier) 数字 す↑うじ число́ (си́мвол)
数轴，数线 shù zhóu, shù xiàn Zahlengerade [f], Zahlenstrahl [m] number line line <geometry> ligne [f] numérique 数直線 す↑うちょ↓くせん числова́я ось, числова́я пряма́я
奇数 jī shù ungerade Zahl odd number natural number; division nombre impair 奇数 き↑す↓う нечётное число́
运算次序，运算顺序 yùnsuàn cìxù, yùnsuàn shùnxù Operatorpräzedenz [f], Operatorrangfolge [f] operator precedence, order of operation <mathematical logic> basic operation; exponentiation; root extraction priorité [f] des opérations [f], ordre [m] des opérations [f] 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
数量级 shùliàng jí Größenordnung [f] order of magnitude logarithm ordre [m] de grandeur 桁 け↑た поря́док величи́ны
奇偶性 jī'ǒu xìng Parität [f] parity natural number
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] Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle number (symbol); triangle <geometry>
百分数 bǎifēn shù Prozentsatz [m] percentage fraction
进位制，进位计数法，位值计数法 jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ Stellenschreibweise [f] positional notation, place-value notation, positional numeral system numeral system
正数 zhèng shù positive Zahl positive number number (abstract idea)
真分数 zhēn fēnshù echter Bruch, eigentlicher Bruch proper fraction fraction fraction propre 真分数 し↑んぶ↓んすう пра́вильная дробь
proportion constant; sequence; ratio
proportionality proportion
底数（进制） dǐ shù (jìn zhì) Basis [f] (Zahlensystem) radix, base positional notation
小数点 xiǎoshù diǎn Radixpunkt [m] radix character radix
比率，比值 bǐ lǜ, bǐ zhí Verhältnis [n] ratio number (abstract idea)
互反函数 hùfǎn hánshù Reziprokfunktion [f], reziproke Funktion reciprocal function function; multiplicative inverse
循环小数 xúnhuán xiǎoshù periodische Dezimalzahlen [f pl] repeating decimal, recurring decimal
圆括号，括弧号 yuán kuòhào, kuòhú hào runde Klammern [f pl] parentheses operator precedence
significand scientific notation
silver ratio, silver mean ratio; addition; root extraction
简分数 jiǎn fēnshù gemeiner Bruch, gewöhnlicher Bruch simple fraction, common fraction, vulgar fraction fraction
科学计数法 kēxué jìshù fǎ wissenschaftliche Notation scientific notation significant figures; multiplication; exponentiation
有效数字，有效数位 yǒuxiào shùzì, yǒuxiào shùwèi signifikante Stellen [f pl], signifikante Ziffern [f pl] significant figures, significant digits rounding
square number, perfect square integer; square <algebra>
计数符号 jìshù fúhào Strichliste [f] tally marks, hash marks unary system; addition
特拉亨伯格速算系統 Tèlāhēngbógé sùsuàn xìtǒng Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] Trachtenberg system multiplication
单位分数 dānwèi fēnshù Stammbruch [m] unit fraction fraction
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] unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic prime number
零 líng Null [f] zero number (abstract idea)
zero to the power of zero zero; exponentiation
analog computer
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模拟计算机 mónǐ jìsuànjī Analogrechner [m] analog computer basic operation; logarithm; exponentiation رایانه قیاسی
列线图，诺谟图 lièxiàn tú, nuòmò tú Nomogramm [n], Nomographie [f] nomogram, nomograph analog computer
计算尺 jìsuàn chǐ Rechenschieber [m], Rechenstab [m] slide rule analog computer
arithmetic operand
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算术运算数，算术运算元 suànshù yùnsuànshù, suànshù yùnsuànyuán arithmetischer Operand arithmetic operand opérandeopérande arithmétique 算術演算子 さ↑んじゅつえんざ↓んし арифмети́ческий опера́нд
加数 jiā shù Summand [m] addend, summand addition; operand <mathematical logic> cumulateur [m] 加数 か↑す↓う جَمع وند، عامل جَمع слага́емое
antilogarithm
被加数 bèijiā shù erster Summand augend, summand addition; operand <mathematical logic> 被加数 ひ↑か↓すう مُوَلِفه دُوم جَمع اَعداد пе́рвое слага́емое
底数（指数），基数（指数） dǐshù (zhǐshù), jīshù (zhǐshù) Basis [f] (Exponentiation) base (exponentiation) exponentiation پایه (تَوان)
底数（对数），基数（对数） dǐ shù (duì shù), jī shù (duì shù) Basis [f] (Logarithmus) base (logarithm) logarithm پایه (عَدَد لُگاریتمی)
次方根 cìfāng gēn Wurzelgrad [m] degree nth root degré [m] دَرَجه
分母 fēn mǔ Nenner [m] denominator fraction; operand <mathematical logic> dénominateur [m] 分母 ぶ↓んぼ مَخرَج کَسر знамена́тель [м]
差 chā Differenz [f] difference subtraction différence [f] تَفاضُل
被除数 bèichú shù Dividend [m] dividend fraction; operand <mathematical logic> dividende [m] مَقسوم
除数 chú shù Divisor [m] divisor division; operand <mathematical logic> diviseur [m] مَقسوم عَلیه
幂，指数 mì, zhǐ shù Hochzahl [f], Exponent [m] exponent exponentiation exposant [m] نَما، قُوه، تَوان
logarithm (operand)
被减数 bèijiǎn shù Minuend [m] minuend subtraction
被乘数 bèichéng shù Multiplikand [m] multiplicand, factor multiplication; operand <mathematical logic>
乘数 chéng shù Multiplikator [m] multiplier, factor multiplication; operand <mathematical logic>
分子 fēn zǐ Zähler [m] numerator fraction; operand <mathematical logic>
power
积 jī Produkt [n] product multiplication
商 shāng Quotient [f] quotient division
radicant
余数 yú shù Rest [m], Teilungsrest [m] remainder division with remainder
根 gēn Wurzel [f] root nth root
减数 jiǎn shù Subtrahend [m] subtrahend subtraction
和 hé Summe [f] sum addition
arithmetic operation
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arithmetic operation binary operation
加法 jiā fǎ Addition [f] addition number (abstract idea); binary operation <mathematical logic> addition [f] جَمع
除法 chú fǎ Division [f] division number (abstract idea); binary operation <mathematical logic> division [f] تَقسیم
幂运算，指数运算 mì yùnsuàn, zhǐshù yùnsuàn Potenz [f] exponentiation number (abstract idea); binary operation <mathematical logic> تَوان
带余除法，欧几里德除法 dàiyú chúfǎ, Ōujīlǐdé chúfǎ Division [f] mit Rest [m] division with remainder, Euclidean division division تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی
对数 duì shù Logarithmus [m] logarithm (operation) number (abstract idea); binary operation <mathematical logic> logarithme [m]
乘法 chéng fǎ Multiplikation [f] multiplication number (abstract idea); binary operation <mathematical logic>
次方根 cìfāng gēn Wurzel [f] , Radikal [n] nth root binary operation <mathematical logic>
开方 kāi fāng Radizieren [n] root extraction nth root
减法 jiǎn fǎ Subtraktion [f], Abziehen [n], Abzug [m] subtraction number (abstract idea); binary operation <mathematical logic>
arithmetic symbol
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算术符号 suànshù fúhào arithmetisches Symbol arithmetic symbol
division sign
减号 jiǎn hào Minuszeichen [n] minus sign subtraction; negative number
multiplication sign
百分号 bǎifēn hào Prozentzeichen [n] percent sign percentage
加号 jiā hào Pluszeichen [n] plus sign addition; positive number
mechanical calculator
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机械计算器 jīxiè jìsuànqì Rechenmaschine [f] mechanical calculator, calculating machine basic operation 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
算盘 suàn pan Abakus [m] abacus mechanical calculator چُرتکه
滚轮式加法器，帕斯卡计算器 gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì Pascaline [f] Pascal's calculator, arithmetic machine, Pascaline machine calculator pascaline [f], machine [f] d’arithmétique, roue [f] pascaline パスカリン パ↑スカ↓リン суммирующая машина Паска́ля, Паскали́на
multiplication algorithm
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multiplication algorithm
格子乘法，铺地锦算法 gézi chéngfǎ, pūdìjǐn suànfǎ Gittermethode [f] lattice multiplication multiplication multiplication [f] par jalousies [f pl] 格子掛け算 こ↑うしかけ↓ざん решёточное умноже́ние
长乘法 cháng chéngfǎ Standardmethode [f] der schriftlichen Multiplikation long multiplication multiplication
农夫算法 nóngfū suànfǎ russische Bauernmultiplikation peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication multiplication
number system
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number system
algebraic number complex number; root <algebra>
复数 fù shù komplexe Zahl complex number imaginary number; real number nombre [m] complexe اَعدادِ مُختَلِط
合数，合成数 hé shù, héchéng shù zusammengesetzte Zahl composite number division; natural number عَدَد مُرَکَب، عَدَد غِیر اَول
分数 fēn shù Bruch [m] fraction division; integer fraction [f] کَسر
虚数 xū shù imaginäre Zahl imaginary number negative number; exponentiation nombre [m] imaginaire
整数 zhěng shù Ganzzahl [f], ganze Zahl integer natural number; negative number entier
无理数 wúlǐ shù irrationale Zahl irrational number rational number; real number
自然数 zìrán shù natürliche Zahl natural number, counting number number (abstract idea)
质数，素数 zhì shù, sù shù Primzahl [f] prime number, prime product; natural number
有理数 yǒulǐ shù rationale Zahl rational number fraction; integer
实数 shí shù reelle Zahl real number rational number
transcendental number algebraic number
numeral system
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] eng-Latn-US: concept eng-Latn-US: prerequisite 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
数制，记数系统，记数法 shù zhì, jìshù xìtǒng, jìshù fǎ Zahlensystem [n] numeral system notation <linguistics>
二进制 èrjìn zhì Dualsystem [n], Zweiersystem [n], Binärsystem [n] binary system numeral system système [m] binaire سیستِم باینِری
十进制 shíjìn zhì Dezimalsystem [n], Zehnersystem [n], dekadisches System decimal, base-ten integer دِسیمال، اَعداد بَر پایه دَه
十六进制 shíliùjìn zhì Hexadezimalsystem [n], Sedezimalsystem [n] hexadecimal, base 16, hex numeral system
八进制 bājìn zhì Oktalsystem [n] octal, oct numeral system
一进制 yījìn zhì Unärsystem [n] unary system numeral system
rounding
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] eng-Latn-US: concept eng-Latn-US: prerequisite 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
数值修约 shùzhí xiūyuē Runden [n], Rundung [f] rounding decimal representation
无条件简化 wútiáojiàn jiǎnhuà direct rounding rounding up; rounding down; rounding towards zero; rounding away from zero رُند کَردن
向无穷取整 xiàng wúqióng qǔzhěng Wegrunden [n] von Null [f] rounding away from zero, rounding towards infinity rounding
向下取整 xiàng xià qǔzhěng Abrunden [n] rounding down, rounding towards negative infinity rounding
向零取整 xiàng líng qǔzhěng Runden [n] gegen Null [f] rounding towards zero, rounding away from infinity rounding
向上取整 xiàng shàng qǔzhěng Aufrunden [n] rounding up, rounding towards positive infinity rounding
sequence
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] eng-Latn-US: concept eng-Latn-US: prerequisite 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
theorem about prime numbers
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] eng-Latn-US: concept eng-Latn-US: prerequisite 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[edit | edit source]

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] eng-Latn-US: concept eng-Latn-US: prerequisite 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[edit | edit source]

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] eng-Latn-US: concept eng-Latn-US: prerequisite 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>
theorems in analytic number theory
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] eng-Latn-US: concept eng-Latn-US: prerequisite 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

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