Difference between revisions of "Language/Multiple-languages/Vocabulary/Number-Theory"
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[[Category:Sci–Tech_Index]] | [[Category:Sci–Tech_Index]] | ||
Hello polyglots, 😀 | |||
On this page you will find a part of the [https://polyglotclub.com/wiki/Language/Multiple-languages/Culture/Introduction-to-Sci%E2%80%93Tech-Index Sci–Tech Index], a project for science and technology learners. | |||
In progress. | |||
{| 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: ぜんたい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| number theory || | |||
| 数论 || | |||
| shù lùn || | |||
| Zahlentheorie [f] || | |||
| théorie [f] des nombres || | |||
| 数論 || | |||
| すうろん || | |||
| тео́рия чи́сел || | |||
|- | |||
| arithmetic || | |||
| 算术 || | |||
| suàn shù || | |||
| Arithmetik [f] || | |||
| arithmétique [f] || | |||
| 算数 || | |||
| さんすう || | |||
| 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 || | |||
| 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 || | |||
| аналити́ческая тео́рия чи́сел || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
{| class="wikitable" | == Arithmetic == | ||
{| class="wikitable sortable" | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ! 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: | ! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| | | abacus || mechanical calculator | ||
| | | 算盘 || | ||
| | | suàn pan || | ||
| | | Abakus [m] || | ||
| | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| absolute value, modulus || real number | |||
| 绝对值 || | |||
| juéduì zhí || | |||
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert || | |||
| valeur [f] absolue || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| addition || number; binary operation <mathematical logic> | |||
| 加法 || | |||
| jiā fǎ || | |||
| Addition [f] || | |||
| addition [f] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| additive inverse, opposite, negation || addition; number | |||
| 加法逆元, 相反数 || | |||
| jiāfǎ nìyuán, xiāngfǎn shù || | |||
| Gegenzahl [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| addend, summand || addition; operand <mathematical logic> | |||
| 加数 || | |||
| jiā shù || | |||
| Summand [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| analog computer || basic operation; logarithm; exponentiation | |||
| 模拟计算机 || | |||
| mónǐ jìsuànjī || | |||
| Analogrechner [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| anticommutative property, anticommutativity || operation <mathematical logic> | |||
| 反交换律 || | |||
| fǎnjiāohuàn lǜ || | |||
| Antikommutativgesetz [n], Antikommutativität [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| associative property, associativity || operation <mathematical logic> | |||
| 结合律 || | |||
| jiéhé lǜ || | |||
| Assoziativgesetz [n], Assoziativität [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| augend || addition; operand <mathematical logic> | |||
| 被加数 || | |||
| bèijiā shù || | |||
| erster Summand || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| base (exponentiation) || exponentiation | |||
| 底数(指数), 基数(指数) || | |||
| dǐ shù (zhǐ shù), jīshù (zhǐ shù) || | |||
| Basis [f] (Exponentiation) || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| base (logarithm) || logarithm | |||
| 底数(对数), 基数(对数) || | |||
| dǐ shù (duì shù), jīshù (duì shù) || | |||
| Basis [f] (Logarithmus) || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| basic operation || addition; division; multiplication; subtraction | |||
| 四则运算 || | |||
| sìzé yùnsuàn || | |||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| binary logarithm || logarithm | |||
| 以二为底的对数 || | |||
| yǐ èr wéi dǐ de duìshù || | |||
| binärer Logarithmus, dualer Logarithmus || | |||
| logarithme [m] binaire || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| binary system || numeral system | |||
| 二进制 || | |||
| èr jìnzhì || | |||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] || | |||
| système [m] binaire || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| chisanbop || addition; subtraction | |||
| 指算法 || | |||
| zhǐ suànfǎ || | |||
| Chisanbop [n] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| complex number || imaginary number; real number | |||
| 复数 || | |||
| fù shù || | |||
| komplexe Zahl || | |||
| nombre [m] complexe || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| composite number || division; natural number | |||
| 合数, 合成数 || | |||
| hé shù, héchéng shù || | |||
| zusammengesetzte Zahl || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| constant || number | |||
| 常数, 定数 || | |||
| cháng shù, dìng shù || | |||
| Konstante [f], Festwert [m] || | |||
| constante [f] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| counting rods || basic operation | |||
| 算筹, 算子 || | |||
| suàn chóu, suàn zǐ || | |||
| Zählstäbe [m pl] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| decimal, base-ten || integer | |||
| 十进制 || | |||
| shíjìn zhì || | |||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| decimal logarithm, common logarithm || logarithm | |||
| 常用对数 || | |||
| chángyòng duìshù || | |||
| dekadischer Logarithmus, Zehnerlogarithmus [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| decimal representation || number | |||
| 小数 || | |||
| xiǎo shù || | |||
| Dezimaldarstellung [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| decimal separator || decimal representation; radix character | |||
| 小数点 || | |||
| xiǎoshù diǎn || | |||
| Dezimaltrennzeichen [n] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| degree || nth root | |||
| 次方根 || | |||
| cìfāng gēn || | |||
| Wurzelgrad [m] || | |||
| degré [m] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| denominator || fraction; operand <mathematical logic> | |||
| 分母 || | |||
| fēn mǔ || | |||
| Nenner [m] || | |||
| dénominateur [m] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| difference || subtraction | |||
| 差 || | |||
| chā || | |||
| Differenz [f] || | |||
| différence [f] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| digit || | |||
| 数字 || | |||
| shù zì || | |||
| Ziffer [f] || | |||
| chiffre [m] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero | |||
| 无条件简化 || | |||
| wútiáojiàn jiǎnhuà || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| distributive property, distributivity || operation <mathematical logic> | |||
| 分配律 || | |||
| fēnpèi lǜ || | |||
| Distributivgesetz [n], Distributivität [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| dividend || fraction; operand <mathematical logic> | |||
| 被除数 || | |||
| bèichú shù || | |||
| Dividend [m] || | |||
| dividende [m] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| division || number; binary operation <mathematical logic> | |||
| 除法 || | |||
| chú fǎ || | |||
| Division [f] || | |||
| division [f] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| division by zero || division; zero | |||
| 除以零 || | |||
| chú yǐ líng || | |||
| Division [f] durch Null || | |||
| division [f] par zéro || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | division with remainder, Euclidean division || division | ||
| | | 带余除法, 欧几里德除法 || | ||
| | | dàiyú chúfǎ, Ōujīlǐdé chúfǎ || | ||
| | | Division [f] mit Rest || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | divisor || division; operand <mathematical logic> | ||
| | | 除数 || | ||
| | | chú shù || | ||
| | | Divisor [m] || | ||
| | | diviseur [m] || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | commutative property, commutativity || operation <mathematical logic> | ||
| | | 交换律 || | ||
| | | jiāohuàn lǜ || | ||
| | | Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f] || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | Egyptian fraction || unit fraction | ||
| | | 埃及分数 || | ||
| | | Āijí fēnshù || | ||
| | | Stammbruchzerlegung [f] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | engineering notation || scientific notation | ||
| | | 工程计数法 || | ||
| | | gōngchéng jìshù fǎ || | ||
| | | technische Notation [f] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | equal sign || equality <mathmatical logic> | ||
| | | 等号 || | ||
| | | děng hào || | ||
| | | Gleichheitszeichen [n], Ist-gleich-Zeichen [n] || | ||
| | | signe [m] égal || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | Euclid's lemma || prime number | ||
| | | 欧几里得引理 || | ||
| | | Ōujīlǐdé yǐnlǐ || | ||
| | | Lemma [n] von Euklid || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| Euler's number, e || constant | |||
| 自然常数, 自然底数, 欧拉数 || | |||
| zìrán chángshù, zìrán dǐshù, Ōulā shù || | |||
| Eulersche Zahl || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| even number || natural number; division | |||
| 偶数 || | |||
| ǒu shù || | |||
| gerade Zahl || | |||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|- | |||
| exponent || exponentiation | |||
| 幂, 指数 || | |||
| mì, zhǐ shù || | |||
| Hochzahl [f], Exponent [m] || | |||
| exposant [m] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| exponentiation || number; binary operation <mathematical logic> | |||
| 幂运算, 指数运算 || | |||
| mì yùnsuàn, zhǐshù yùnsuàn || | |||
| Potenz [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| finger binary || addition; subtraction; binary system | |||
| 二进制指算法 || | |||
| èrjìnzhì zhǐsuànfǎ || | |||
| binär zählen mit Fingern [m pl] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| fraction || division; integer | |||
| 分数 || | |||
| fēn shù || | |||
| Bruch [m] || | |||
| fraction [f] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| factorization, factoring || object | |||
| 因式分解 || | |||
| yīnshì fēnjiě || | |||
| Faktorisierung [f] || | |||
| factorisation [f] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| greater than || inequality <mathematical logic> | |||
| 大于 || | |||
| dà yú || | |||
| größer als || | |||
| plus grand que || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| greater than or equal to || inequality <mathematical logic> | |||
| 大于等于 || | |||
| dàyú děngyú || | |||
| größer als oder gleich || | |||
| plus grand ou égal à || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| hexadecimal, base 16, hex || numeral system | |||
| 十六进制 || | |||
| shíliù jìnzhì || | |||
| Hexadezimalsystem [n], Sedezimalsystem [n] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| imaginary unit, unit imaginary number || imaginary number | |||
| 虚数单位 || | |||
| xūshù dānwèi || | |||
| imaginäre Einheit || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| imaginary number || negative number; exponentiation | |||
| 虚数 || | |||
| xū shù || | |||
| imaginäre Zahl || | |||
| nombre [m] imaginaire || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| improper fraction || fraction | |||
| 假分数 || | |||
| jiǎ fēnshù || | |||
| unechter Bruch, uneigentlicher Bruch || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| infinity || number | |||
| 无穷 || | |||
| wú qióng || | |||
| Unendlichkeit [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| integer || natural number; negative number | |||
| 整数 || | |||
| zhěng shù || | |||
| Ganzzahl [f], ganze Zahl || | |||
| entier || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| inverse function, anti-function || function <mathematical logic> | |||
| 反函数 || | |||
| fǎn hánshù || | |||
| Umkehrfunktion [f], inverse Funktion || | |||
| fonction [f] inverse || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| irrational number || rational number; real number | |||
| 无理数 || | |||
| wúlǐ shù || | |||
| irrationale Zahl || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| lattice multiplication || multiplication | |||
| 格子乘法, 铺地锦算法 || | |||
| gézi suànfǎ, pūdìjǐn suànfǎ || | |||
| Gittermethode [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| less than || inequality <mathematical logic> | |||
| 小于 || | |||
| xiǎo yú || | |||
| kleiner als || | |||
| inférieur à || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| less than or equal to || inequality <mathematical logic> | |||
| 小于等于 || | |||
| xiǎoyú děngyú || | |||
| kleiner als oder gleich || | |||
| inférieur ou égal à || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| logarithm || number; binary operation <mathematical logic> | |||
| 对数 || | |||
| duì shù || | |||
| Logarithmus [m] || | |||
| logarithme [m] || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| long division || division | |||
| 长除法 || | |||
| cháng chúfǎ || | |||
| Standardmethode [f] der schriftlichen Division || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| long multiplication || multiplication | |||
| 长乘法 || | |||
| cháng chéngfǎ || | |||
| Standardmethode [f] der schriftlichen Multiplikation || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| 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 || | |||
| きかいしきけいさんき || | |||
| 機械式計算機 || | |||
| вычисли́тельная маши́на, счётная маши́на || | |||
|- | |||
| minuend || subtraction | |||
| 被减数 || | |||
| bèijiǎn shù || | |||
| Minuend [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| minus sign || subtraction; negative number | |||
| 减号 || | |||
| jiǎn hào || | |||
| Minuszeichen [n] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| mixed number || fraction | |||
| 带分数 || | |||
| dài fēnshù || | |||
| gemischte Zahl || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| modular arithmetic || integer | |||
| 模算术 || | |||
| mó suànshù || | |||
| Modulararithmetik [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| much greater than || inequality <mathematical logic> | |||
| 远大于 || | |||
| yuǎn dàyú || | |||
| viel größer als || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| much less than || inequality <mathematical logic> | |||
| 远小于 || | |||
| yuǎn xiǎoyú || | |||
| viel weniger als || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| multiplicand || multiplication; operand <mathematical logic> | |||
| 被乘数 || | |||
| bèichéng shù || | |||
| Multiplikand [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| multiplication table || multiplication | |||
| 乘法表 || | |||
| chéngfǎ biǎo || | |||
| Einmaleins [n] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| multiplier || multiplication; operand <mathematical logic> | |||
| 乘数 || | |||
| chéng shù || | |||
| Multiplikator [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| multiplication || number; binary operation <mathematical logic> | |||
| 乘法 || | |||
| chéng fǎ || | |||
| Multiplikation [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| multiplicative inverse, reciprocal || multiplication; reciprocation | |||
| 乘法逆元, 倒数 || | |||
| chéngfǎ nìyuán, dào shù || | |||
| Kehrwert [m] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| natural logarithm || Euler's number; logarithm | |||
| 自然对数 || | |||
| zìrán duìshù || | |||
| natürlicher Logarithmus || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| Napier's rods, Napier's bones || lattice multiplication | |||
| 纳皮尔筹 || | |||
| Nàpí'ěr chóu || | |||
| Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| natural number, counting number || number | |||
| 自然数 || | |||
| zìrán shù || | |||
| natürliche Zahl || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| negative number || number | |||
| 负数 || | |||
| fù shù || | |||
| negative Zahl || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| nomogram, nomograph || analog computer | |||
| 列线图, 诺谟图 || | |||
| lièxiàn tú, nuòmò tú || | |||
| Nomogramm [n], Nomographie [f] || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| notation || numeral; symbol | |||
| 符号 || | |||
| fúhào || | |||
| Notation [f] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | non-negative number || negative number | ||
| | | 非负数 || | ||
| | | fēifù shù || | ||
| | | nichtnegative Zahl || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | non-positive number || positive number | ||
| | | 非正数 || | ||
| | | fēizhèng shù || | ||
| | | nichtpositive Zahl || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | nth root || binary operation <mathematical logic> | ||
| | | 次方根 || | ||
| | | cìfāng gēn || | ||
| | | Wurzel [f] , Radikal [n] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | numeral || digit; symbol | ||
| | | 数字 || | ||
| | | shù zì || | ||
| | | Zahl [f], Ziffer [f] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | number || numeral; object | ||
| | | 数字 || | ||
| | | shù zì || | ||
| | | Zahl [f] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| number line || line <geometry> | |||
| 数轴, 数线 || | |||
| shù zhóu, shù xiàn || | |||
| Zahlengerade [f], Zahlenstrahl [m] || | |||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|- | |||
| numeral system || notation | |||
| 数制, 记数系统, 记数法 || | |||
| shù zhì, jìshù xìtǒng, jìshù fǎ || | |||
| Zahlensystem [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| numerator || fraction; operand <mathematical logic> | |||
| 分子 || | |||
| fēn zǐ || | |||
| Zähler [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | object || | ||
| | | 物体 || | ||
| | | wù tǐ || | ||
| | | Objekt [n] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | octal, oct || numeral system | ||
| 八进制 || | |||
| bā jìnzhì || | |||
| Oktalsystem [n] || | |||
| || | |||
| || | |||
| || | |||
| || | | || | ||
|- | |||
| odd number || natural number; division | |||
| 奇数 || | |||
| jī shù || | |||
| ungerade Zahl || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| operator precedence, order of operation <mathematical logic> || basic operation; exponentiation; root extraction | |||
| 运算次序, 运算顺序 || | |||
| yùnsuàn cìxù, yùnsuàn shùnxù || | |||
| Operatorpräzedenz [f], Operatorrangfolge [f] || | |||
| || | | || | ||
| || | | || | ||
Line 238: | Line 902: | ||
| || | | || | ||
|- | |- | ||
| | | parity || natural number | ||
| | | 奇偶性 || | ||
| | | jī'ǒu xìng || | ||
| | | Parität [f] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle || 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 || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | 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 pascaline || | ||
| | | パスカリン || | ||
| | | パスカリン || | ||
| суммирующая машина Паска́ля, Паскали́на || | |||
|- | |||
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication | |||
| 农夫算法 || | |||
| nóngfū suànfǎ || | |||
| russische Bauernmultiplikation || | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | percentage || fraction | ||
| | | 百分数 || | ||
| | | bǎifēn shù || | ||
| | | Prozentsatz [m] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | percent sign || percentage | ||
| | | 百分号 || | ||
| | | bǎifēn hào || | ||
| | | Prozentzeichen [n] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | 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 | ||
| | | 正数 || | ||
| | | zhèng shù || | ||
| | | positive Zahl || | ||
| | | || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | prime number, prime || product; natural number | ||
| | | 质数, 素数 || | ||
| | | zhì shù, sù shù || | ||
| | | Primzahl [f] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | product || multiplication | ||
| | | 积 || | ||
| | | jī || | ||
| | | Produkt [n] || | ||
| || | |||
| | | || | ||
| | |||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| proper fraction || fraction | |||
| 真分数 || | |||
| zhēn fēnshù || | |||
| echter Bruch, eigentlicher Bruch || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| quotient || division | |||
| 商 || | |||
| shāng || | |||
| Quotient [f] || | |||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|- | |||
| 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 | ||
| | | 比率, 比值 || | ||
| | | bǐ lǜ, bǐ zhí || | ||
| | | Verhältnis [n] || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | rational number || fraction; integer | ||
| | | 有理数 || | ||
| | | yǒulǐ shù || | ||
| | | rationale Zahl || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | real number || rational number | ||
| 实数 || | |||
| shí shù || | |||
| reelle Zahl || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| 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 406: | Line 1,082: | ||
| || | | || | ||
|- | |- | ||
| | | root || nth root | ||
| | | 根 || | ||
| | | gēn || | ||
| | | Wurzel [f] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | root extraction || nth root | ||
| | | 开方 || | ||
| | | kāi fāng || | ||
| | | Radizieren [n] || | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| rounding || decimal representation | |||
| 数值修约 || | |||
| shùzhí xiūyuē || | |||
| Rundung [f], Runden [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| round away from zero, round towards infinity || rounding | |||
| 向无穷取整 || | |||
| xiàng wúqióng qǔzhěng || | |||
| von Null wegrunden || | |||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|- | |||
| round down, round towards negative infinity || rounding | |||
| 向下取整 || | |||
| xiàng xià qǔzhěng || | |||
| abrunden || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| round towards zero, round away from infinity || rounding | |||
| 向零取整 || | |||
| xiàng líng qǔzhěng || | |||
| gegen Null runden || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| round up, round towards positive infinity || rounding | |||
| 向上取整 || | |||
| xiàng shàng qǔzhěng || | |||
| aufrunden || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | parentheses || operator precedence | ||
| | | 圆括号, 括弧号 || | ||
| | | yuán kuòhào, kuòhú hào || | ||
| | | runde Klammern [f pl] || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | simple fraction, common fraction, vulgar fraction || fraction | ||
| | | 简分数 || | ||
| | | jiǎn fēnshù || | ||
| | | gemeiner Bruch, gewöhnlicher Bruch || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| scientific notation || significant figures | |||
| 科学计数法 || | |||
| kēxué jìshù fǎ || | |||
| wissenschaftliche Notation [f] || | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
|- | |||
| 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] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| slide rule || analog computer | |||
| 计算尺 || | |||
| jìsuàn chǐ || | |||
| Rechenschieber [m], Rechenstab [m] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | subtraction || number; 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] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| symbol || | |||
| 符号 || | |||
| fúhào || | |||
| Symbol [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| | | tally marks, hash marks || unary system; addition | ||
| 计数符号 || | |||
| | | jìshù fúhào || | ||
| | | Strichliste [f] || | ||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| Trachtenberg system || multiplication | |||
| 特拉亨伯格速算系統 || | |||
| Tèlāhēngbégé sùsuàn xìtǒng || | |||
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] || | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
|- | |||
| unary system || numeral system | |||
| 一进制 || | |||
| yī jìnzhì || | |||
| Unärsystem [n] || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| 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 || | |||
| | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| zero || number | |||
| 零 || | |||
| líng || | |||
| Null [f] || | |||
| || | |||
| || | |||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
Line 595: | Line 1,290: | ||
|} | |} | ||
== | == Algebraic Number Theory == | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ! 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: | ! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |||
| || | |||
|} | |||
== Analytic Number Theory == | |||
{| class="wikitable sortable" | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | | || | ||
| || | | || | ||
Line 642: | Line 1,332: | ||
|} | |} | ||
[[File: | [[File:2341px-Sierpinski_Pascal_triangle.svg.png]] | ||
== * Appendix * == | == * Appendix * == | ||
=== Adjective & Adjective Phrase; Verb & Verb Phrase === | === Adjective & Adjective Phrase; Verb & Verb Phrase === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ! 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 | ||
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! 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: | ! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| add || | |||
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| | | multiply || | ||
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| | | subtract || | ||
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| | | extract the root, radicate || | ||
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|} | |} | ||
=== | === Symbol === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! symbol | ! symbol | ||
! eng-Latn-US: concept | ! eng-Latn-US: concept | ||
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! rus-Cyrl-RU: конце́пция | ! rus-Cyrl-RU: конце́пция | ||
|- | |- | ||
| | | + | ||
| | | 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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|- | |- | ||
| | | = | ||
| | | equal to | ||
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|- | |- | ||
| | | ≠ | ||
| | | not equal to | ||
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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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|- | |- | ||
| | | ∞ | ||
| | | 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 === | === Process === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! eng-Latn-US: process !! eng-Latn-US: constituent | ! eng-Latn-US: process !! eng-Latn-US: constituent | ||
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ||
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! jpn-Hrkt-JP: かてい !! jpn-Hrkt-JP: こうざい | ! jpn-Hrkt-JP: かてい !! jpn-Hrkt-JP: こうざい | ||
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть | ! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть | ||
|- | |||
| 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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|- | |- | ||
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=== Related Free Educational Resources === | === Related Free Educational Resources === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! branch | ! branch | ||
! name | ! name | ||
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! public license | ! public license | ||
|- | |- | ||
| | | Arithmetic | ||
| | | Arithmetic Game | ||
| https:// | | https://arithmetic.zetamac.com/ | ||
| English | | English | ||
| | | - | ||
|- | |- | ||
| | | Arithmetic | ||
| | | gbrainy | ||
| | | https://wiki.gnome.org/Apps/gbrainy | ||
| English | | English | ||
| | | GNU GPL 2.0 | ||
|- | |||
| Arithmetic | |||
| Number Empire | |||
| https://www.numberempire.com/ | |||
| Multiple languages | |||
| - | |||
|- | |- | ||
| | | Arithmetic | ||
| | | Wolfram<nowiki>|</nowiki>Alpha | ||
| https:// | | https://www.wolframalpha.com/ | ||
| English | | English, Japanese | ||
| | | - | ||
|- | |- | ||
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|} | |} | ||
{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} |
Revision as of 15:14, 22 November 2021
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
In progress.
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: ぜんたい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
number theory | 数论 | shù lùn | Zahlentheorie [f] | théorie [f] des nombres | 数論 | すうろん | тео́рия чи́сел | ||||||||
arithmetic | 算术 | suàn shù | Arithmetik [f] | arithmétique [f] | 算数 | さんすう | 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 | 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 | аналити́ческая тео́рия чи́сел | |||||||
Arithmetic
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: ぜんたい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
abacus | mechanical calculator | 算盘 | suàn pan | Abakus [m] | |||||||||||
absolute value, modulus | real number | 绝对值 | juéduì zhí | Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert | valeur [f] absolue | ||||||||||
addition | number; binary operation <mathematical logic> | 加法 | jiā fǎ | Addition [f] | addition [f] | ||||||||||
additive inverse, opposite, negation | addition; number | 加法逆元, 相反数 | jiāfǎ nìyuán, xiāngfǎn shù | Gegenzahl [f] | |||||||||||
addend, summand | addition; operand <mathematical logic> | 加数 | jiā shù | Summand [m] | |||||||||||
analog computer | basic operation; logarithm; exponentiation | 模拟计算机 | mónǐ jìsuànjī | Analogrechner [m] | |||||||||||
anticommutative property, anticommutativity | operation <mathematical logic> | 反交换律 | fǎnjiāohuàn lǜ | Antikommutativgesetz [n], Antikommutativität [f] | |||||||||||
associative property, associativity | operation <mathematical logic> | 结合律 | jiéhé lǜ | Assoziativgesetz [n], Assoziativität [f] | |||||||||||
augend | addition; operand <mathematical logic> | 被加数 | bèijiā shù | erster Summand | |||||||||||
base (exponentiation) | exponentiation | 底数(指数), 基数(指数) | dǐ shù (zhǐ shù), jīshù (zhǐ shù) | Basis [f] (Exponentiation) | |||||||||||
base (logarithm) | logarithm | 底数(对数), 基数(对数) | dǐ shù (duì shù), jīshù (duì shù) | Basis [f] (Logarithmus) | |||||||||||
basic operation | addition; division; multiplication; subtraction | 四则运算 | sìzé yùnsuàn | Grundrechnungsarten [f pl], Grundrechenarten [f pl] | |||||||||||
binary logarithm | logarithm | 以二为底的对数 | yǐ èr wéi dǐ de duìshù | binärer Logarithmus, dualer Logarithmus | logarithme [m] binaire | ||||||||||
binary system | numeral system | 二进制 | èr jìnzhì | Dualsystem [n], Zweiersystem [n], Binärsystem [n] | système [m] binaire | ||||||||||
chisanbop | addition; subtraction | 指算法 | zhǐ suànfǎ | Chisanbop [n] | |||||||||||
complex number | imaginary number; real number | 复数 | fù shù | komplexe Zahl | nombre [m] complexe | ||||||||||
composite number | division; natural number | 合数, 合成数 | hé shù, héchéng shù | zusammengesetzte Zahl | |||||||||||
constant | number | 常数, 定数 | cháng shù, dìng shù | Konstante [f], Festwert [m] | constante [f] | ||||||||||
counting rods | basic operation | 算筹, 算子 | suàn chóu, suàn zǐ | Zählstäbe [m pl] | |||||||||||
decimal, base-ten | integer | 十进制 | shíjìn zhì | Dezimalsystem [n], Zehnersystem [n], dekadisches System | |||||||||||
decimal logarithm, common logarithm | logarithm | 常用对数 | chángyòng duìshù | dekadischer Logarithmus, Zehnerlogarithmus [m] | |||||||||||
decimal representation | number | 小数 | xiǎo shù | Dezimaldarstellung [f] | |||||||||||
decimal separator | decimal representation; radix character | 小数点 | xiǎoshù diǎn | Dezimaltrennzeichen [n] | |||||||||||
degree | nth root | 次方根 | cìfāng gēn | Wurzelgrad [m] | degré [m] | ||||||||||
denominator | fraction; operand <mathematical logic> | 分母 | fēn mǔ | Nenner [m] | dénominateur [m] | ||||||||||
difference | subtraction | 差 | chā | Differenz [f] | différence [f] | ||||||||||
digit | 数字 | shù zì | Ziffer [f] | chiffre [m] | |||||||||||
direct rounding | rounding up; rounding down; rounding towards zero; rounding away from zero | 无条件简化 | wútiáojiàn jiǎnhuà | ||||||||||||
distributive property, distributivity | operation <mathematical logic> | 分配律 | fēnpèi lǜ | Distributivgesetz [n], Distributivität [f] | |||||||||||
dividend | fraction; operand <mathematical logic> | 被除数 | bèichú shù | Dividend [m] | dividende [m] | ||||||||||
division | number; binary operation <mathematical logic> | 除法 | chú fǎ | Division [f] | division [f] | ||||||||||
division by zero | division; zero | 除以零 | chú yǐ líng | Division [f] durch Null | division [f] par zéro | ||||||||||
division with remainder, Euclidean division | division | 带余除法, 欧几里德除法 | dàiyú chúfǎ, Ōujīlǐdé chúfǎ | Division [f] mit Rest | |||||||||||
divisor | division; operand <mathematical logic> | 除数 | chú shù | Divisor [m] | diviseur [m] | ||||||||||
commutative property, commutativity | operation <mathematical logic> | 交换律 | jiāohuàn lǜ | Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f] | |||||||||||
Egyptian fraction | unit fraction | 埃及分数 | Āijí fēnshù | Stammbruchzerlegung [f] | |||||||||||
engineering notation | scientific notation | 工程计数法 | gōngchéng jìshù fǎ | technische Notation [f] | |||||||||||
equal sign | equality <mathmatical logic> | 等号 | děng hào | Gleichheitszeichen [n], Ist-gleich-Zeichen [n] | signe [m] égal | ||||||||||
Euclid's lemma | prime number | 欧几里得引理 | Ōujīlǐdé yǐnlǐ | Lemma [n] von Euklid | |||||||||||
Euler's number, e | constant | 自然常数, 自然底数, 欧拉数 | zìrán chángshù, zìrán dǐshù, Ōulā shù | Eulersche Zahl | |||||||||||
even number | natural number; division | 偶数 | ǒu shù | gerade Zahl | |||||||||||
exponent | exponentiation | 幂, 指数 | mì, zhǐ shù | Hochzahl [f], Exponent [m] | exposant [m] | ||||||||||
exponentiation | number; binary operation <mathematical logic> | 幂运算, 指数运算 | mì yùnsuàn, zhǐshù yùnsuàn | Potenz [f] | |||||||||||
finger binary | addition; subtraction; binary system | 二进制指算法 | èrjìnzhì zhǐsuànfǎ | binär zählen mit Fingern [m pl] | |||||||||||
fraction | division; integer | 分数 | fēn shù | Bruch [m] | fraction [f] | ||||||||||
factorization, factoring | object | 因式分解 | yīnshì fēnjiě | Faktorisierung [f] | factorisation [f] | ||||||||||
greater than | inequality <mathematical logic> | 大于 | dà yú | größer als | plus grand que | ||||||||||
greater than or equal to | inequality <mathematical logic> | 大于等于 | dàyú děngyú | größer als oder gleich | plus grand ou égal à | ||||||||||
hexadecimal, base 16, hex | numeral system | 十六进制 | shíliù jìnzhì | Hexadezimalsystem [n], Sedezimalsystem [n] | |||||||||||
imaginary unit, unit imaginary number | imaginary number | 虚数单位 | xūshù dānwèi | imaginäre Einheit | |||||||||||
imaginary number | negative number; exponentiation | 虚数 | xū shù | imaginäre Zahl | nombre [m] imaginaire | ||||||||||
improper fraction | fraction | 假分数 | jiǎ fēnshù | unechter Bruch, uneigentlicher Bruch | |||||||||||
infinity | number | 无穷 | wú qióng | Unendlichkeit [f] | |||||||||||
integer | natural number; negative number | 整数 | zhěng shù | Ganzzahl [f], ganze Zahl | entier | ||||||||||
inverse function, anti-function | function <mathematical logic> | 反函数 | fǎn hánshù | Umkehrfunktion [f], inverse Funktion | fonction [f] inverse | ||||||||||
irrational number | rational number; real number | 无理数 | wúlǐ shù | irrationale Zahl | |||||||||||
lattice multiplication | multiplication | 格子乘法, 铺地锦算法 | gézi suànfǎ, pūdìjǐn suànfǎ | Gittermethode [f] | |||||||||||
less than | inequality <mathematical logic> | 小于 | xiǎo yú | kleiner als | inférieur à | ||||||||||
less than or equal to | inequality <mathematical logic> | 小于等于 | xiǎoyú děngyú | kleiner als oder gleich | inférieur ou égal à | ||||||||||
logarithm | number; binary operation <mathematical logic> | 对数 | duì shù | Logarithmus [m] | logarithme [m] | ||||||||||
long division | division | 长除法 | cháng chúfǎ | Standardmethode [f] der schriftlichen Division | |||||||||||
long multiplication | multiplication | 长乘法 | cháng chéngfǎ | Standardmethode [f] der schriftlichen Multiplikation | |||||||||||
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 | きかいしきけいさんき | 機械式計算機 | вычисли́тельная маши́на, счётная маши́на | |||||||
minuend | subtraction | 被减数 | bèijiǎn shù | Minuend [m] | |||||||||||
minus sign | subtraction; negative number | 减号 | jiǎn hào | Minuszeichen [n] | |||||||||||
mixed number | fraction | 带分数 | dài fēnshù | gemischte Zahl | |||||||||||
modular arithmetic | integer | 模算术 | mó suànshù | Modulararithmetik [f] | |||||||||||
much greater than | inequality <mathematical logic> | 远大于 | yuǎn dàyú | viel größer als | |||||||||||
much less than | inequality <mathematical logic> | 远小于 | yuǎn xiǎoyú | viel weniger als | |||||||||||
multiplicand | multiplication; operand <mathematical logic> | 被乘数 | bèichéng shù | Multiplikand [m] | |||||||||||
multiplication table | multiplication | 乘法表 | chéngfǎ biǎo | Einmaleins [n] | |||||||||||
multiplier | multiplication; operand <mathematical logic> | 乘数 | chéng shù | Multiplikator [m] | |||||||||||
multiplication | number; binary operation <mathematical logic> | 乘法 | chéng fǎ | Multiplikation [f] | |||||||||||
multiplicative inverse, reciprocal | multiplication; reciprocation | 乘法逆元, 倒数 | chéngfǎ nìyuán, dào shù | Kehrwert [m] | |||||||||||
natural logarithm | Euler's number; logarithm | 自然对数 | zìrán duìshù | natürlicher Logarithmus | |||||||||||
Napier's rods, Napier's bones | lattice multiplication | 纳皮尔筹 | Nàpí'ěr chóu | Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen | |||||||||||
natural number, counting number | number | 自然数 | zìrán shù | natürliche Zahl | |||||||||||
negative number | number | 负数 | fù shù | negative Zahl | |||||||||||
nomogram, nomograph | analog computer | 列线图, 诺谟图 | lièxiàn tú, nuòmò tú | Nomogramm [n], Nomographie [f] | |||||||||||
notation | numeral; symbol | 符号 | fúhào | Notation [f] | |||||||||||
non-negative number | negative number | 非负数 | fēifù shù | nichtnegative Zahl | |||||||||||
non-positive number | positive number | 非正数 | fēizhèng shù | nichtpositive Zahl | |||||||||||
nth root | binary operation <mathematical logic> | 次方根 | cìfāng gēn | Wurzel [f] , Radikal [n] | |||||||||||
numeral | digit; symbol | 数字 | shù zì | Zahl [f], Ziffer [f] | |||||||||||
number | numeral; object | 数字 | shù zì | Zahl [f] | |||||||||||
number line | line <geometry> | 数轴, 数线 | shù zhóu, shù xiàn | Zahlengerade [f], Zahlenstrahl [m] | |||||||||||
numeral system | notation | 数制, 记数系统, 记数法 | shù zhì, jìshù xìtǒng, jìshù fǎ | Zahlensystem [n] | |||||||||||
numerator | fraction; operand <mathematical logic> | 分子 | fēn zǐ | Zähler [m] | |||||||||||
object | 物体 | wù tǐ | Objekt [n] | ||||||||||||
octal, oct | numeral system | 八进制 | bā jìnzhì | Oktalsystem [n] | |||||||||||
odd number | natural number; division | 奇数 | jī shù | ungerade Zahl | |||||||||||
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] | |||||||||||
parity | natural number | 奇偶性 | jī'ǒu xìng | Parität [f] | |||||||||||
Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle | 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 | |||||||||||
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 pascaline | パスカリン | パスカリン | суммирующая машина Паска́ля, Паскали́на | |||||||
peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication | multiplication | 农夫算法 | nóngfū suànfǎ | russische Bauernmultiplikation | |||||||||||
percentage | fraction | 百分数 | bǎifēn shù | Prozentsatz [m] | |||||||||||
percent sign | percentage | 百分号 | bǎifēn hào | Prozentzeichen [n] | |||||||||||
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 | 正数 | zhèng shù | positive Zahl | |||||||||||
prime number, prime | product; natural number | 质数, 素数 | zhì shù, sù shù | Primzahl [f] | |||||||||||
product | multiplication | 积 | jī | Produkt [n] | |||||||||||
proper fraction | fraction | 真分数 | zhēn fēnshù | echter Bruch, eigentlicher Bruch | |||||||||||
quotient | division | 商 | shāng | Quotient [f] | |||||||||||
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 | 比率, 比值 | bǐ lǜ, bǐ zhí | Verhältnis [n] | |||||||||||
rational number | fraction; integer | 有理数 | yǒulǐ shù | rationale Zahl | |||||||||||
real number | rational number | 实数 | shí shù | reelle Zahl | |||||||||||
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] | |||||||||||
root | nth root | 根 | gēn | Wurzel [f] | |||||||||||
root extraction | nth root | 开方 | kāi fāng | Radizieren [n] | |||||||||||
rounding | decimal representation | 数值修约 | shùzhí xiūyuē | Rundung [f], Runden [n] | |||||||||||
round away from zero, round towards infinity | rounding | 向无穷取整 | xiàng wúqióng qǔzhěng | von Null wegrunden | |||||||||||
round down, round towards negative infinity | rounding | 向下取整 | xiàng xià qǔzhěng | abrunden | |||||||||||
round towards zero, round away from infinity | rounding | 向零取整 | xiàng líng qǔzhěng | gegen Null runden | |||||||||||
round up, round towards positive infinity | rounding | 向上取整 | xiàng shàng qǔzhěng | aufrunden | |||||||||||
parentheses | operator precedence | 圆括号, 括弧号 | yuán kuòhào, kuòhú hào | runde Klammern [f pl] | |||||||||||
simple fraction, common fraction, vulgar fraction | fraction | 简分数 | jiǎn fēnshù | gemeiner Bruch, gewöhnlicher Bruch | |||||||||||
scientific notation | significant figures | 科学计数法 | kēxué jìshù fǎ | wissenschaftliche Notation [f] | |||||||||||
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] | |||||||||||
slide rule | analog computer | 计算尺 | jìsuàn chǐ | Rechenschieber [m], Rechenstab [m] | |||||||||||
subtraction | number; 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] | |||||||||||
symbol | 符号 | fúhào | Symbol [n] | ||||||||||||
tally marks, hash marks | unary system; addition | 计数符号 | jìshù fúhào | Strichliste [f] | |||||||||||
Trachtenberg system | multiplication | 特拉亨伯格速算系統 | Tèlāhēngbégé sùsuàn xìtǒng | Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] | |||||||||||
unary system | numeral system | 一进制 | yī jìnzhì | Unärsystem [n] | |||||||||||
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 | |||||||||||
zero | number | 零 | líng | Null [f] | |||||||||||
Algebraic 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: ぜんたい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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: ぜんたい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
* Appendix *
Adjective & Adjective Phrase; Verb & Verb Phrase
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: ぜんたい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
add | |||||||||||||||
divide by | |||||||||||||||
multiply | |||||||||||||||
subtract | |||||||||||||||
extract the root, radicate | |||||||||||||||
Symbol
symbol | eng-Latn-US: concept | cmn-Hans-CN: 概念 | cmn-Latn.Pinyin-CN: gàiniàn | deu-Latn-DE: Begriff [m] | fra-Latn-FR: concept [m] | jpn-Jpan-JP: 概念 | jpn-Hrkt-JP: がいねん | rus-Cyrl-RU: конце́пция |
---|---|---|---|---|---|---|---|---|
+ | addition; positive number | |||||||
- | subtraction; negative number | |||||||
× | multiplication | |||||||
÷ | division | |||||||
% | percent | |||||||
√ | root | |||||||
= | equal to | |||||||
≠ | not equal to | |||||||
< | less than | |||||||
> | greater than | |||||||
≤ | less than or equal to | |||||||
≥ | greater than or equal to | |||||||
∞ | infinity | |||||||
E, e | E notation | |||||||
e | Euler's number | |||||||
lg | decimal logarithm | |||||||
log | logarithm | |||||||
ln | natural logarithm | |||||||
Process
eng-Latn-US: process | eng-Latn-US: constituent | cmn-Hans-CN: 过程 | cmn-Hans-CN: 构件 | cmn-Latn.Pinyin-CN: guòchéng | cmn-Latn.Pinyin-CN: gòujiàn | deu-Latn-DE: Prozess [m] | deu-Latn-DE: Bestandteil [m] | fra-Latn-FR: procès [m] | fra-Latn-FR: composant [m] | jpn-Jpan-JP: 過程 | jpn-Jpan-JP: 構材 | jpn-Hrkt-JP: かてい | jpn-Hrkt-JP: こうざい | rus-Cyrl-RU: проце́сс | rus-Cyrl-RU: соста́вная часть |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
addition | augend, addend, sum | ||||||||||||||
division | dividend, divisor, quotient | ||||||||||||||
multiplication | multiplicand, multiplier, product | ||||||||||||||
subtraction | minuend, subtrahend, difference | ||||||||||||||
division with remainder | dividend, divisor -> quotient, remainder | ||||||||||||||
Related Free Educational Resources
branch | name | link | language | public license |
---|---|---|---|---|
Arithmetic | Arithmetic Game | https://arithmetic.zetamac.com/ | English | - |
Arithmetic | gbrainy | https://wiki.gnome.org/Apps/gbrainy | English | GNU GPL 2.0 |
Arithmetic | Number Empire | https://www.numberempire.com/ | Multiple languages | - |
Arithmetic | Wolfram|Alpha | https://www.wolframalpha.com/ | English, Japanese | - |
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