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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ||
! | |||
! eng-Latn-US: | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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| || | | || | ||
|- | |- | ||
| | | number theory || | ||
| | | 数论 || | ||
| | | shù lùn || | ||
| | | Zahlentheorie [f] || | ||
| | | théorie [f] des nombres || | ||
| | | 数論 || | ||
| | | す↑うろん || | ||
| | | نَظَریه اَعداد || | ||
| | | тео́рия чи́сел || | ||
|- | |||
| arithmetic || | |||
| 算术 || | |||
| suàn shù || | |||
| Arithmetik [f] || | |||
| arithmétique [f] || | |||
| 算数 || | |||
| さ↑んす↓う || | |||
| علمِ حِساب || | |||
| арифме́тика || | |||
|- | |||
| algebraic number theory || arithmetic; algebra | |||
| 代数数论 || | |||
| dàishù shùlùn || | |||
| algebraische Zahlentheorie || | |||
| théorie [f] algébrique des nombres || | |||
| 代数的整数論 || | |||
| だ↑いすうてき↓せ↑いす↓うろん || | |||
| نَظَریه جَبری اَعداد || | |||
| алгебраи́ческая тео́рия чи́сел || | |||
|- | |- | ||
| | | analytic number theory || arithmetic; mathematical analysis | ||
| | | 解析数论 || | ||
| | | jiěxī shùlùn || | ||
| | | analytische Zahlentheorie || | ||
| | | théorie [f] analytique des nombres || | ||
| | | 解析的整数論,解析数論 || | ||
| | | か↑いせきてき↓せ↑いす↓うろん,か↑いせきす↓うろん || | ||
| | | نَظَریه تَحلیل اَعداد || | ||
| | | аналити́ческая тео́рия чи́сел || | ||
|- | |- | ||
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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 || | |||
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| 公差 || | |||
| こ↓うさ || | |||
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|- | |- | ||
| | | common ratio || geometic progression; ratio <number theory> | ||
| 公比 || | |||
| gōng bǐ || | |||
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| 公比 || | |||
| こ↓うひ || | |||
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|- | |||
| 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 || | |||
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|- | |- | ||
| | | Cuisenaire rods || basic operations | ||
| | | 古氏积木 || | ||
| | | Gǔshì jīmù || | ||
| | | Cuisenaire-Stäbchen [n pl] || | ||
| | | réglettes [f pl] Cuisenaire || | ||
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|- | |- | ||
| | | 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 [m] 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 [m] décimal || | ||
| | | 小数点 || | ||
| | | しょ↑うす↓うてん || | ||
| | | مُمَیِِز || | ||
| | | десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я || | ||
|- | |- | ||
| | | denominator || fraction; operand <mathematical logic> | ||
| | | 分母 || | ||
| | | fēn mǔ || | ||
| | | Nenner [m] || | ||
| | | dénominateur [m] || | ||
| | | 分母 || | ||
| | | ぶ↓んぼ || | ||
| | | مَخرَج کَسر || | ||
| | | знамена́тель [м] || | ||
|- | |- | ||
| | | digit || number (abstract idea); symbol | ||
| | | 数字(单个符号) || | ||
| | | 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 | | 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 [f] || | ||
| | | notation [f] ingénieur || | ||
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| | | 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,欧拉数 || | ||
| | | zìrán chángshù, zìrán dǐshù, Ōulā shù || | ||
| | | 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 || | ||
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| | | finger binary || addition; subtraction; binary system | ||
| 二进制指算法 || | |||
| | | èrjìnzhì zhǐsuànfǎ || | ||
| | | binär zählen mit Fingern [m pl] || | ||
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| | | مُحاسِبه اَنگُشتی باینِری(دودویی) || | ||
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|- | |- | ||
| | | factorization, factoring || mathematical object <mathematical logic> | ||
| | | 因式分解 || | ||
| | | yīnshì fēnjiě || | ||
| | | Faktorisierung [f] || | ||
| | | factorisation [f] || | ||
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| | | تَجزیه (به عامِلها) || | ||
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|- | |- | ||
| | | finite continued fraction, terminated continued fraction || continued fraction; infinity | ||
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| | | golden ratio || ratio; addition; root extraction | ||
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| | | greatest common divisor || integer; division | ||
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| | | imaginary unit, unit imaginary number || imaginary number | ||
| | | 虚数单位 || | ||
| | | xūshù dānwèi || | ||
| | | imaginäre Einheit || | ||
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|- | |- | ||
| | | improper fraction || fraction | ||
| | | 假分数 || | ||
| | | jiǎ fēnshù || | ||
| | | unechter Bruch, uneigentlicher Bruch || | ||
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| | | infinite continued fraction || continued fraction; infinity | ||
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| | | infinity || number (abstract idea) | ||
| | | 无穷 || | ||
| | | wú qióng || | ||
| | | Unendlichkeit [f] || | ||
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| | | inverse function, anti-function || function <mathematical logic> | ||
| 反函数 || | |||
| fǎn hánshù || | |||
| | | Umkehrfunktion [f], inverse Funktion || | ||
| | | fonction inverse || | ||
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| inverse proportionality || proportionality | |||
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| irreducible fraction, fraction in lowest terms, simplest form, reduced fraction || fraction; coprime integer | |||
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| | | lattice multiplication || multiplication | ||
| | | 格子乘法,铺地锦算法 || | ||
| | | gézi suànfǎ, pūdìjǐn suànfǎ || | ||
| | | Gittermethode [f] || | ||
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| | | lowest common denominator, least common denominator || lowest common multiple | ||
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| lowest common multiple, least common multiple, smallest common multiple || integer; division; denominator | |||
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| | | long division || division | ||
| | | 长除法 || | ||
| | | cháng chúfǎ || | ||
| | | Standardmethode [f] der schriftlichen Division || | ||
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|- | |- | ||
| | | long multiplication || multiplication | ||
| | | 长乘法 || | ||
| | | cháng chéngfǎ || | ||
| | | Standardmethode [f] der schriftlichen Multiplikation || | ||
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| mean || proportion | |||
| 内项 || | |||
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|- | |||
| minus sign || subtraction; negative number | |||
| 减号 || | |||
| jiǎn hào || | |||
| Minuszeichen [n] || | |||
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| | |- | ||
| mixed number || fraction | |||
| 带分数 || | |||
| dài fēnshù || | |||
| gemischte Zahl || | |||
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|- | |- | ||
| | | modular arithmetic || integer | ||
| | | 模算术 || | ||
| | | mó suànshù || | ||
| | | Modulararithmetik [f] || | ||
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|- | |- | ||
| | | multiplication table || multiplication | ||
| | | 乘法表 || | ||
| | | chéngfǎ biǎo || | ||
| | | Einmaleins [n] || | ||
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|- | |- | ||
| | | multiplicative inverse, reciprocal || multiplication; reciprocation | ||
| | | 乘法逆元,倒数 || | ||
| | | chéngfǎ nìyuán, dào shù || | ||
| | | Kehrwert [m] || | ||
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|- | |- | ||
| 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 || | |||
| || | | || | ||
| || | | || | ||
Line 857: | Line 586: | ||
| || | | || | ||
|- | |- | ||
| | | notation || numeral; symbol | ||
| | | 符号 || | ||
| | | fúhào || | ||
| Notation [f] || | |||
| || | | || | ||
| || | | || | ||
Line 867: | Line 596: | ||
| || | | || | ||
|- | |- | ||
| | | non-negative number || negative number | ||
| | | 非负数 || | ||
| | | fēifù shù || | ||
| | | nichtnegative Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 877: | Line 606: | ||
| || | | || | ||
|- | |- | ||
| | | non-positive number || positive number | ||
| | | 非正数 || | ||
| | | fēizhèng shù || | ||
| | | nichtpositive Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 887: | Line 616: | ||
| || | | || | ||
|- | |- | ||
| | | number (abstract idea) || mathematical object <mathematical logic> | ||
| | | 数 || | ||
| | | shù zì (chōuxiàng gàiniàn) || | ||
| | | Zahl [f] (abstrakte Idee) || | ||
| || | | || | ||
| || | | || | ||
Line 897: | Line 626: | ||
| || | | || | ||
|- | |- | ||
| | | number (symbol), numeral || digit | ||
| | | 数字(整个符号) || | ||
| | | shù zì (zhěnggè fúhào) || | ||
| | | Zahl [f] (Symbol) || | ||
| || | | || | ||
| || | | || | ||
Line 907: | Line 636: | ||
| || | | || | ||
|- | |- | ||
| number line || line <geometry> | |||
| 数轴,数线 || | |||
| shù zhóu, shù xiàn || | |||
| Zahlengerade [f], Zahlenstrahl [m] || | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| numerator || fraction; operand <mathematical logic> | |||
| 分子 || | |||
| fēn zǐ || | |||
| Zähler [m] || | |||
| || | | || | ||
| || | | || | ||
Line 917: | Line 656: | ||
| || | | || | ||
|- | |- | ||
| 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] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|- | |||
| order of magnitude || logarithm | |||
| || | | || | ||
| || | | || | ||
Line 926: | Line 682: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| parity || natural number | |||
| 奇偶性 || | |||
| jī'ǒu xìng || | |||
| Parität [f] || | |||
| || | | || | ||
| || | | || | ||
Line 955: | Line 695: | ||
| || | | || | ||
| || | | || | ||
|- | |||
| 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, Yang-Hui-Dreieck, Tartaglia-Dreieck || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | | || | ||
| | | || | ||
| | |- | ||
| | | peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication | ||
| | | 农夫算法 || | ||
| nóngfū suànfǎ || | |||
| russische Bauernmultiplikation || | |||
| || | | || | ||
| || | | || | ||
Line 969: | Line 716: | ||
| || | | || | ||
|- | |- | ||
| | | percentage || fraction | ||
| | | 百分数 || | ||
| | | bǎifēn shù || | ||
| | | Prozentsatz [m] || | ||
| || | | || | ||
| || | | || | ||
Line 979: | Line 726: | ||
| || | | || | ||
|- | |- | ||
| percent sign || percentage | |||
| 百分号 || | |||
| bǎifēn hào || | |||
| Prozentzeichen [n] || | |||
| || | | || | ||
| || | | || | ||
Line 984: | Line 735: | ||
| || | | || | ||
| || | | || | ||
|- | |||
| plus sign || addition; positive number | |||
| 加号 || | |||
| jiā hào || | |||
| Pluszeichen [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
|- | |- | ||
| 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 || | |||
| || | | || | ||
| || | | || | ||
Line 1,021: | Line 766: | ||
| || | | || | ||
|- | |- | ||
| | | proper fraction || fraction | ||
| | | 真分数 || | ||
| | | zhēn fēnshù || | ||
| | | echter Bruch, eigentlicher Bruch || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
| || | |||
|- | |||
| proportion || constant; sequence; ratio | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
Line 1,040: | Line 784: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | proportionality || proportion | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | 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 || | ||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | remainder || division with remainder | ||
| | | 余数 || | ||
| | | yú shù || | ||
| | | Rest [m], Teilungsrest [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,141: | Line 846: | ||
| || | | || | ||
|- | |- | ||
| | | repeating decimal, recurring decimal || | ||
| | | 循环小数 || | ||
| | | xúnhuán xiǎoshù || | ||
| | | periodische Dezimalzahlen [f pl] || | ||
| || | | || | ||
| || | | || | ||
Line 1,151: | Line 856: | ||
| || | | || | ||
|- | |- | ||
| | | parentheses || operator precedence | ||
| | | 圆括号,括弧号 || | ||
| | | yuán kuòhào, kuòhú hào || | ||
| | | runde Klammern [f pl] || | ||
| || | | || | ||
| || | | || | ||
Line 1,161: | Line 866: | ||
| || | | || | ||
|- | |- | ||
| | | significand || scientific notation | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,181: | Line 876: | ||
| || | | || | ||
|- | |- | ||
| silver ratio, silver mean || ratio; addition; root extraction | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,191: | Line 886: | ||
| || | | || | ||
|- | |- | ||
| | | simple fraction, common fraction, vulgar fraction || fraction | ||
| | | 简分数 || | ||
| | | jiǎn fēnshù || | ||
| | | gemeiner Bruch, gewöhnlicher Bruch || | ||
| || | | || | ||
| || | | || | ||
Line 1,201: | Line 896: | ||
| || | | || | ||
|- | |- | ||
| | | scientific notation || significant figures; multiplication; exponentiation | ||
| | | 科学计数法 || | ||
| | | kēxué jìshù fǎ || | ||
| | | wissenschaftliche Notation || | ||
| || | | || | ||
| || | | || | ||
Line 1,211: | Line 906: | ||
| || | | || | ||
|- | |- | ||
| significant figures, significant digits || rounding | |||
| 有效数字,有效数位 || | |||
| yǒuxiào shùzì, yǒuxiào shùwèi || | |||
| signifikante Stellen [f pl], signifikante Ziffern [f pl] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| square number, perfect square || integer; square <algebra> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,231: | Line 926: | ||
| || | | || | ||
|- | |- | ||
| | | symbol || | ||
| | | 符号 || | ||
| | | fúhào || | ||
| | | Symbol [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,241: | Line 936: | ||
| || | | || | ||
|- | |- | ||
| | | tally marks, hash marks || unary system; addition | ||
| | | 计数符号 || | ||
| | | jìshù fúhào || | ||
| | | Strichliste [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,251: | Line 946: | ||
| || | | || | ||
|- | |- | ||
| | | Trachtenberg system || multiplication | ||
| | | 特拉亨伯格速算系統 || | ||
| | | Tèlāhēngbégé sùsuàn xìtǒng || | ||
| | | Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,261: | Line 956: | ||
| || | | || | ||
|- | |- | ||
| 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 || | |||
| || | | || | ||
| || | | || | ||
Line 1,270: | Line 975: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| zero || number (abstract idea) | |||
| 零 || | |||
| líng || | |||
| Null [f] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,299: | Line 994: | ||
| || | | || | ||
| || | | || | ||
| || | |||
|} | |||
{| 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] || | |||
| || | | || | ||
| || | | || | ||
Line 1,364: | Line 1,068: | ||
| || | | || | ||
|- | |- | ||
| | | slide rule || analog computer | ||
| | | 计算尺 || | ||
| | | jìsuàn chǐ || | ||
| Rechenschieber [m], Rechenstab [m] || | |||
| | |||
| || | | || | ||
| || | | || | ||
Line 1,394: | Line 1,078: | ||
| || | | || | ||
|- | |- | ||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
Line 1,406: | Line 1,089: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ arithmetic | |+ arithmetic operation | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,417: | Line 1,100: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| arithmetic operation || binary operation | |||
| arithmetic | |||
| || | | || | ||
| || | | || | ||
Line 1,426: | Line 1,106: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
Line 1,436: | Line 1,116: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| | | addend, summand || addition; operand <mathematical logic> | ||
| 加数 || | |||
| jiā shù || | |||
| Summand [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| جَمع وند، عامل جَمع || | |||
| || | | || | ||
|- | |- | ||
| | | addition || number (abstract idea); binary operation <mathematical logic> | ||
| | | 加法 || | ||
| | | jiā fǎ || | ||
| | | Addition [f] || | ||
| addition [f] || | |||
| | |||
| || | | || | ||
| || | | || | ||
| جَمع || | |||
| || | | || | ||
|- | |- | ||
| augend || addition; operand <mathematical logic> | |||
| 被加数 || | |||
| bèijiā shù || | |||
| erster Summand || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | مُوَلِفه دُوم جَمع اَعداد || | ||
| || | | || | ||
|- | |||
| base (exponentiation) || exponentiation | |||
| 底数(指数),基数(指数) || | |||
| dǐshù (zhǐshù), jīshù (zhǐshù) || | |||
| Basis [f] (Exponentiation) || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| پایه (تَوان) || | |||
| || | | || | ||
|- | |- | ||
| | | base (logarithm) || logarithm | ||
| | | 底数(对数),基数(对数) || | ||
| | | dǐ shù (duì shù), jī shù (duì shù) || | ||
| | | Basis [f] (Logarithmus) || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| پایه (عَدَد لُگاریتمی) || | |||
| || | | || | ||
|- | |- | ||
| | | binary logarithm || logarithm | ||
| | | 以二为底的对数 || | ||
| | | yǐ èr wéi dǐ de duìshù || | ||
| | | binärer Logarithmus, dualer Logarithmus || | ||
| logarithme [m] binaire || | |||
| || | |||
| || | |||
| لُگاریتم باینِری (دو دویی) || | |||
| || | | || | ||
|- | |||
| basic operation || addition; division; multiplication; subtraction | |||
| 四则运算 || | |||
| sìzé yùnsuàn || | |||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| چهار عَمَل اَصلی || | |||
| || | | || | ||
|- | |- | ||
| division || number (abstract idea); binary operation <mathematical logic> | |||
| 除法 || | |||
| chú fǎ || | |||
| Division [f] || | |||
| division [f] || | |||
| || | | || | ||
| || | | || | ||
| تَقسیم || | |||
| || | | || | ||
|- | |||
| exponentiation || number (abstract idea); binary operation <mathematical logic> | |||
| 幂运算,指数运算 || | |||
| mì yùnsuàn, zhǐshù yùnsuàn || | |||
| Potenz [f] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| تَوان || | |||
| || | | || | ||
|- | |||
| decimal logarithm, common logarithm || logarithm | |||
| 常用对数 || | |||
| chángyòng duìshù || | |||
| dekadischer Logarithmus, Zehnerlogarithmus [m] || | |||
| || | | || | ||
| || | | || | ||
| | | || | ||
| لُگاریتم بَر پایه دَه || | |||
| || | |||
| | |||
|- | |- | ||
| | | degree || nth root | ||
| | | 次方根 || | ||
| | | cìfāng gēn || | ||
| | | Wurzelgrad [m] || | ||
| | | degré [m] || | ||
| || | | || | ||
| || | | || | ||
| دَرَجه || | |||
| || | | || | ||
|- | |||
| difference || subtraction | |||
| 差 || | |||
| chā || | |||
| Differenz [f] || | |||
| différence [f] || | |||
| || | | || | ||
| || | | || | ||
| تَفاضُل || | |||
| || | | || | ||
|- | |||
| dividend || fraction; operand <mathematical logic> | |||
| 被除数 || | |||
| bèichú shù || | |||
| Dividend [m] || | |||
| dividende [m] || | |||
| || | | || | ||
| || | | || | ||
| مَقسوم || | |||
| || | | || | ||
|- | |- | ||
| | | division by zero || division; zero | ||
| | | 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 || | |||
| || | | || | ||
|- | |||
| divisor || division; operand <mathematical logic> | |||
| 除数 || | |||
| chú shù || | |||
| Divisor [m] || | |||
| diviseur [m] || | |||
| || | | || | ||
| || | | || | ||
| مَقسوم عَلیه || | |||
| || | | || | ||
|- | |- | ||
| exponent || exponentiation | |||
| 幂,指数 || | |||
| mì, zhǐ shù || | |||
| Hochzahl [f], Exponent [m] || | |||
| exposant [m] || | |||
| || | | || | ||
| || | | || | ||
| نَما، قُوه، تَوان || | |||
| || | | || | ||
| | |- | ||
| | | logarithm || number (abstract idea); binary operation <mathematical logic> | ||
| 对数 || | |||
| duì shù || | |||
| Logarithmus [m] || | |||
| logarithme [m] || | |||
| || | | || | ||
| || | | || | ||
Line 1,581: | Line 1,300: | ||
| || | | || | ||
|- | |- | ||
| minuend || subtraction | |||
| 被减数 || | |||
| bèijiǎn shù || | |||
| Minuend [m] || | |||
| || | | || | ||
| || | | || | ||
Line 1,586: | Line 1,309: | ||
| || | | || | ||
| || | | || | ||
|- | |||
| multiplicand || multiplication; operand <mathematical logic> | |||
| 被乘数 || | |||
| bèichéng shù || | |||
| Multiplikand [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | multiplication || number (abstract idea); binary operation <mathematical logic> | ||
| | | 乘法 || | ||
| | | chéng fǎ || | ||
| | | Multiplikation [f] || | ||
| || | | || | ||
| || | | || | ||
Line 1,611: | Line 1,330: | ||
| || | | || | ||
|- | |- | ||
| | | multiplier || multiplication; operand <mathematical logic> | ||
| | | 乘数 || | ||
| | | chéng shù || | ||
| | | Multiplikator [m] || | ||
| || | | || | ||
| || | | || | ||
Line 1,621: | Line 1,340: | ||
| || | | || | ||
|- | |- | ||
| 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] || | |||
| || | | || | ||
| || | | || | ||
Line 1,630: | Line 1,359: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| product || multiplication | |||
| 积 || | |||
| jī || | |||
| Produkt [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| quotient || division | |||
| 商 || | |||
| shāng || | |||
| Quotient [f] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| root || nth root | |||
| 根 || | |||
| gēn || | |||
| Wurzel [f] || | |||
| || | | || | ||
| || | | || | ||
Line 1,664: | Line 1,390: | ||
| || | | || | ||
|- | |- | ||
| 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] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| subtrahend || subtraction | |||
| 减数 || | |||
| jiǎn shù || | |||
| Subtrahend [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | sum || addition | ||
| | | 和 || | ||
| | | hé || | ||
| | | Summe [f] || | ||
| | | || | ||
| || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | zero to the power of zero || zero; exponentiation | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,724: | Line 1,440: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,743: | Line 1,449: | ||
| || | | || | ||
| || | | || | ||
|} | |||
{| 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 || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,754: | Line 1,473: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,774: | Line 1,483: | ||
| || | | || | ||
|- | |- | ||
| algebraic number || complex number; root <algebra> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,784: | Line 1,493: | ||
| || | | || | ||
|- | |- | ||
| 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 || | ||
| || | | || | ||
| || | | || | ||
Line 1,817: | Line 1,533: | ||
| || | | || | ||
|- | |- | ||
| 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 || | |||
| || | | || | ||
| || | | || | ||
Line 1,827: | Line 1,553: | ||
| || | | || | ||
|- | |- | ||
| | | 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 || | ||
| || | | || | ||
| || | | || | ||
Line 1,857: | Line 1,583: | ||
| || | | || | ||
|- | |- | ||
| | | real number || rational number | ||
| | | 实数 || | ||
| | | shí shù || | ||
| | | reelle Zahl || | ||
| || | | || | ||
| || | | || | ||
Line 1,867: | Line 1,593: | ||
| || | | || | ||
|- | |- | ||
| | | transcendental number || algebraic number | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,889: | Line 1,615: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ | |+ numeral system | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,900: | Line 1,626: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | numeral system || notation | ||
| | | 数制,记数系统,记数法 || | ||
| | | shù zhì, jìshù xìtǒng, jìshù fǎ || | ||
| | | Zahlensystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,920: | Line 1,646: | ||
| || | | || | ||
|- | |- | ||
| | | binary system || numeral system | ||
| | | 二进制 || | ||
| | | èr jìnzhì || | ||
| | | Dualsystem [n], Zweiersystem [n], Binärsystem [n] || | ||
| système [m] binaire || | |||
| || | | || | ||
| || | | || | ||
| | | سیستِم باینِری || | ||
| || | | || | ||
|- | |- | ||
| | | decimal, base-ten || integer | ||
| | | 十进制 || | ||
| | | shíjìn zhì || | ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| دِسیمال، اَعداد بَر پایه دَه || | |||
| || | | || | ||
|- | |- | ||
| | | hexadecimal, base 16, hex || numeral system | ||
| | | 十六进制 || | ||
| | | shíliù jìnzhì || | ||
| | | Hexadezimalsystem [n], Sedezimalsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,950: | Line 1,676: | ||
| || | | || | ||
|- | |- | ||
| | | octal, oct || numeral system | ||
| | | 八进制 || | ||
| | | bā jìnzhì || | ||
| | | Oktalsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,960: | Line 1,686: | ||
| || | | || | ||
|- | |- | ||
| | | unary system || numeral system | ||
| | | 一进制 || | ||
| | | yī jìnzhì || | ||
| | | Unärsystem [n] || | ||
| || | | || | ||
| || | | || | ||
Line 1,982: | Line 1,708: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ | |+ rounding | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,993: | Line 1,719: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | rounding || decimal representation | ||
| | | 数值修约 || | ||
| | | shùzhí xiūyuē || | ||
| | | Rundung [f], Runden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 2,013: | Line 1,739: | ||
| || | | || | ||
|- | |- | ||
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero | |||
| 无条件简化 || | |||
| wútiáojiàn jiǎnhuà || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| رُند کَردن || | |||
| || | | || | ||
|- | |||
| rounding away from zero, rounding towards infinity || rounding | |||
| 向无穷取整 || | |||
| xiàng wúqióng qǔzhěng || | |||
| Wegrunden [n] von Null || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| | | rounding down, rounding towards negative infinity || rounding | ||
| 向下取整 || | |||
| xiàng xià qǔzhěng || | |||
| Abrunden [n] || | |||
| || | | || | ||
| || | | || | ||
Line 2,033: | Line 1,769: | ||
| || | | || | ||
|- | |- | ||
| | | rounding towards zero, rounding away from infinity || rounding | ||
| | | 向零取整 || | ||
| | | xiàng líng qǔzhěng || | ||
| | | Runden [n] gegen Null || | ||
| || | | || | ||
| || | | || | ||
Line 2,043: | Line 1,779: | ||
| || | | || | ||
|- | |- | ||
| | | rounding up, rounding towards positive infinity || rounding | ||
| | | 向上取整 || | ||
| | | xiàng shàng qǔzhěng || | ||
| | | Aufrunden [n] || | ||
| || | | || | ||
| || | | || | ||
Line 2,065: | Line 1,801: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ | |+ sequence | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 2,076: | Line 1,812: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| sequence || object <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,096: | Line 1,832: | ||
| || | | || | ||
|- | |- | ||
| arithmetic progression, arithmetic sequence || sequence | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| geometric progression. geometric sequence || sequence | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 2,115: | Line 1,861: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | |||
| || | | || | ||
| || | | || | ||
Line 2,137: | Line 1,872: | ||
| || | | || | ||
|- | |- | ||
| || | |||
| || | | || | ||
| || | | || | ||
Line 2,147: | Line 1,883: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorem about prime numbers | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیشنیاز | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| theorem about prime numbers || | |||
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| Bertrand's postulate || prime number | |||
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=== Algebraic Number Theory === | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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=== 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 | |||
|- | |||
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|- | |||
| prime-counting function || prime number; function <mathematical logic> | |||
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{| 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 || | |||
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| prime number theorem || prime number; asymptotic analysis | |||
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== 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 | |||
|- | |||
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| A is greater than B. || inequality <mathematical logic> | |||
| 甲大于乙。 || | |||
| Jiǎ dà yú Yǐ. || | |||
| A ist größer als B. || | |||
| A est supérieur à B. || | |||
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|- | |||
| A is greater than or equal to B. || inequality <mathematical logic> | |||
| 甲大于等于乙。 || | |||
| Jiǎ dàyú děngyú Yǐ. || | |||
| A ist größer als oder gleich B. || | |||
| A est supérieur ou égal à B. || | |||
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| A is less than B. || inequality <mathematical logic> | |||
| 甲小于乙。 || | |||
| Jiǎ xiǎo yú Yǐ. || | |||
| A ist kleiner als B. || | |||
| A est inférieur à B. || | |||
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|- | |||
| A is less than or equal to B. || inequality <mathematical logic> | |||
| 甲小于等于乙。 || | |||
| Jiǎ xiǎoyú děngyú Yǐ. || | |||
| A ist kleiner als oder gleich B. || | |||
| A est inférieur ou égal à B. || | |||
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| A is much greater than B. || inequality <mathematical logic> | |||
| 甲远大于乙。 || | |||
| Jiǎ yuǎn dàyú Yǐ. || | |||
| A ist viel größer als B. || | |||
| A est beaucoup plus grand que B. || | |||
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|- | |||
| A is much less than B. || inequality <mathematical logic> | |||
| 甲远小于乙。 || | |||
| Jiǎ yuǎn xiǎoyú Yǐ. || | |||
| A ist viel weniger als B. || | |||
| A est beaucoup plus petit que B. || | |||
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=== Symbol === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! symbol | |||
! eng-Latn-US: concept | |||
! cmn-Hans-CN: 概念 | |||
! cmn-Latn.Pinyin-CN: gàiniàn | |||
! deu-Latn-DE: Begriff [m] | |||
! fra-Latn-FR: concept [m] | |||
! jpn-Jpan-JP: 概念 | |||
! jpn-Hrkt-JP: が↓いねん | |||
! rus-Cyrl-RU: конце́пция | |||
|- | |||
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| + | |||
| addition; positive number | |||
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| - | |||
| subtraction; negative number | |||
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| × | |||
| multiplication | |||
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| ÷ | |||
| division | |||
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| % | |||
| percent | |||
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| √ | |||
| root | |||
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| < | |||
| less than | |||
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| > | |||
| greater than | |||
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| ≤ | |||
| less than or equal to | |||
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| ≥ | |||
| greater than or equal to | |||
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| ≡ | |||
| congruent modulo | |||
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| ∞ | |||
| infinity | |||
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|- | |||
| E, e | |||
| E notation | |||
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| e | |||
| Euler's number | |||
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| lg | |||
| decimal logarithm | |||
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| log | |||
| logarithm | |||
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| ln | |||
| natural logarithm | |||
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|} | |||
=== Process === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! eng-Latn-US: process !! eng-Latn-US: constituent | |||
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | |||
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | |||
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | |||
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | |||
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 | |||
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい | |||
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть | |||
|- | |||
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| addition || augend; addend; sum | |||
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| division || dividend; divisor; quotient | |||
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| multiplication || multiplicand; multiplier; product | |||
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|- | |||
| subtraction || minuend; subtrahend; difference | |||
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| division with remainder || dividend; divisor; quotient; remainder | |||
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|} | |||
=== Resource under a Public License === | |||
==== Arithmetic ==== | |||
{| class="wikitable sortable" | |||
! name | |||
! language | |||
! link | |||
|- | |||
| | |||
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|- | |||
| gbrainy | |||
| English | |||
| https://wiki.gnome.org/Apps/gbrainy | |||
|- | |||
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|} | |} | ||
<center> | <center>[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]</center> | ||
</center> | |||
{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} | ||