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

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| direct rounding ||  rounding up; rounding down; rounding towards zero; rounding away from zero
| 无条件简化 ||
| wútiáojiàn jiǎnhuà ||
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| رُند کَردن ||
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| rounding || decimal representation
| parentheses || operator precedence
| 数值修约 ||  
| 圆括号, 括弧号 ||  
| shùzhí xiūyuē ||  
| yuán kuòhào, kuòhú hào ||  
| Rundung [f], Runden [n] ||  
| runde Klammern [f pl] ||  
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| round away from zero, round towards infinity || rounding
| significand || scientific notation
| 向无穷取整 ||
| xiàng wúqióng qǔzhěng ||
| von Null wegrunden ||  
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| round down, round towards negative infinity || rounding
| 向下取整 ||
| xiàng xià qǔzhěng ||
| abrunden ||
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| silver ratio, silver mean || ratio; addition; root extraction
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| round towards zero, round away from infinity || rounding
| 向零取整 ||
| xiàng líng qǔzhěng ||
| gegen Null runden ||
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| round up, round towards positive infinity || rounding
| simple fraction, common fraction, vulgar fraction || fraction
| 向上取整 ||  
| 简分数 ||  
| xiàng shàng qǔzhěng ||  
| jiǎn fēnshù ||  
| aufrunden ||  
| gemeiner Bruch, gewöhnlicher Bruch ||  
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|-
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| parentheses || operator precedence
| scientific notation || significant figures; multiplication; exponentiation
| 圆括号, 括弧号 ||  
| 科学计数法 ||  
| yuán kuòhào, kuòhú hào ||  
| kēxué jìshù fǎ ||  
| runde Klammern [f pl] ||  
| wissenschaftliche Notation [f] ||  
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| significand || scientific notation
| significant figures, significant digits || rounding
| 有效数字, 有效数位 ||
| yǒuxiào shùzì, yǒuxiào shùwèi ||
| signifikante Stellen [f pl], signifikante Ziffern [f pl] ||
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| square number, perfect square || integer; square <algebra>
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| silver ratio, silver mean || ratio; addition; root extraction
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| symbol ||
| 符号 ||
| fúhào ||
| Symbol [n] ||
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|-
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| simple fraction, common fraction, vulgar fraction || fraction
| tally marks, hash marks || unary system; addition
| 简分数 ||  
| 计数符号 ||  
| jiǎn fēnshù ||  
| jìshù fúhào ||  
| gemeiner Bruch, gewöhnlicher Bruch ||  
| Strichliste [f] ||  
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|  ||  
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|-
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| scientific notation || significant figures; multiplication; exponentiation
| Trachtenberg system || multiplication
| 科学计数法 ||  
| 特拉亨伯格速算系統 ||  
| kēxué jìshù fǎ ||  
| Tèlāhēngbégé sùsuàn xìtǒng ||  
| wissenschaftliche Notation [f] ||  
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] ||  
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|-
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| significant figures, significant digits || rounding
| unit fraction || fraction
| 有效数字, 有效数位 ||  
| 单位分数 ||  
| yǒuxiào shùzì, yǒuxiào shùwèi ||  
| dānwèi fēnshù ||  
| signifikante Stellen [f pl], signifikante Ziffern [f pl] ||  
| Stammbruch [m] ||  
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| square number, perfect square || integer; square <algebra>
| 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 ||  
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|-
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| symbol ||  
| zero || number (abstract idea)
| 符号 ||  
| 零 ||  
| fúhào ||  
| líng ||  
| Symbol [n] ||  
| Null [f] ||  
|  ||  
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|-
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| tally marks, hash marks || unary system; addition
| 计数符号 ||
| jìshù fúhào ||
| Strichliste [f] ||
|  ||  
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|  ||  
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| Trachtenberg system || multiplication
| 特拉亨伯格速算系統 ||
| Tèlāhēngbégé sùsuàn xìtǒng ||
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] ||
|  ||  
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|}
{| 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
|+ analog computer
|-
|  ||  
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| unit fraction || fraction
| 单位分数 ||
| dānwèi fēnshù ||
| Stammbruch [m] ||
|  ||  
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Line 1,002: Line 994:
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|-
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| unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic || prime number
| analog computer || basic operation; logarithm; exponentiation
| 正整数的唯一分解定理, 算术基本定理 ||  
| 模拟计算机 ||  
| zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ ||  
| mónǐ jìsuànjī ||  
| Fundamentalsatz [m] der Arithmetik ||
| Analogrechner [m] ||  
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| رایانه قیاسی ||
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|-
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| zero || number (abstract idea)
| 零 ||
| líng ||
| Null [f] ||
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|-
| abacus || mechanical calculator
| 算盘 ||
| suàn pan ||
| Abakus [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| چُرتکه ||
|  ||  
|  ||  
|  ||
|  ||
|}
{| 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
|+ analog computer
|-
|-
|  ||  
| 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 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] ||  
|  ||  
|  ||  
|  ||  
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|  ||  
Line 1,054: Line 1,053:
|  ||  
|  ||  
|-
|-
| analog computer || basic operation; logarithm; exponentiation
| slide rule || analog computer
| 模拟计算机 ||  
| 计算尺 ||  
| mónǐ jìsuànjī ||  
| jìsuàn chǐ ||  
| Analogrechner [m] ||  
| Rechenschieber [m], Rechenstab [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| رایانه قیاسی ||
|  ||  
|  ||  
|-
|-
Line 1,072: Line 1,071:
|  ||  
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|-
|}
| abacus || mechanical calculator
 
| 算盘 ||  
{| class="wikitable sortable"
| suàn pan ||  
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
| Abakus [m] ||  
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|+ arithmetic operation
| arithmetic operation || binary operation
| ||  
| ||  
| ||  
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| 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 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 1,113: Line 1,104:
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|-
|-
| slide rule || analog computer
| addend, summand || addition; operand <mathematical logic>
| 计算尺 ||  
| 加数 ||  
| jìsuàn chǐ ||  
| jiā shù ||  
| Rechenschieber [m], Rechenstab [m] ||  
| Summand [m] ||  
|  ||  
|  ||  
|  ||  
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| جَمع وند، عامل جَمع ||
|  ||  
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|-
| 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 ||
|  ||  
|  ||  
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|  ||  
|  ||  
|  ||  
| 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
{| class="wikitable sortable"
| 底数（对数）, 基数（对数） ||  
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
| dǐ shù (duì shù), jī shù (duì shù) ||  
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
| Basis [f] (Logarithmus) ||  
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|+ arithmetic operation
| arithmetic operation || binary operation
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| 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 ||
|  ||  
|  ||  
|  ||  
|-
|-
| addend, summand || addition; operand <mathematical logic>
| exponentiation || number (abstract idea); binary operation <mathematical logic>
| 加数 ||  
| 幂运算, 指数运算 ||  
| jiā shù ||  
| mì yùnsuàn, zhǐshù yùnsuàn ||  
| Summand [m] ||  
| Potenz [f] ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| جَمع وند، عامل جَمع ||
| تَوان ||
|  ||  
|  ||  
|-
|-
| addition || number (abstract idea); binary operation <mathematical logic>
| decimal logarithm, common logarithm || logarithm
| 加法 ||  
| 常用对数 ||  
| jiā fǎ ||  
| chángyòng duìshù ||  
| Addition [f] ||  
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||  
| addition [f] ||  
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
| جَمع ||
| لُگاریتم بَر پایه دَه ||
|  ||  
|  ||  
|-
|-
| augend || addition; operand <mathematical logic>
| degree || nth root
| 被加数 ||  
| 次方根 ||  
| bèijiā shù ||  
| cìfāng gēn ||  
| erster Summand ||  
| Wurzelgrad [m] ||
| degré [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||
| دَرَجه ||
| مُوَلِفه دُوم جَمع اَعداد ||
|  ||  
|  ||  
|-
|-
| base (exponentiation) || exponentiation
| difference || subtraction
| 底数（指数）, 基数（指数） ||  
| 差 ||  
| dǐshù (zhǐshù), jīshù (zhǐshù) ||  
| chā ||  
| Basis [f] (Exponentiation) ||  
| Differenz [f] ||
| différence [f] ||  
|  ||  
|  ||  
|  ||  
|  ||  
| تَفاضُل ||
|  ||  
|  ||  
| پایه (تَوان) ||
|-
| dividend || fraction; operand <mathematical logic>
| 被除数 ||
| bèichú shù ||
| Dividend [m] ||
| dividende [m] ||
|  ||
|  ||
| مَقسوم ||
|  ||  
|  ||  
|-
|-
| base (logarithm) || logarithm
| division by zero || division; zero
| 底数（对数）, 基数（对数） ||  
| 除以零 ||  
| dǐ shù (duì shù), jī shù (duì shù) ||  
| chú yǐ líng ||  
| Basis [f] (Logarithmus) ||  
| Division [f] durch Null ||
| division [f] par zéro ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||
| تَقسیم بَر صِفر ||
| پایه (عَدَد لُگاریتمی) ||
|  ||  
|  ||  
|-
|-
| binary logarithm || logarithm
| division with remainder, Euclidean division || division
| 以二为底的对数 ||  
| 带余除法, 欧几里德除法 ||  
| yǐ èr wéi dǐ de duìshù ||  
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ ||  
| binärer Logarithmus, dualer Logarithmus ||  
| Division [f] mit Rest ||  
| logarithme [m] binaire ||  
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
| لُگاریتم باینِری (دو دویی) ||
| تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی ||
|  ||  
|  ||  
|-
|-
| basic operation || addition; division; multiplication; subtraction
| divisor || division; operand <mathematical logic>
| 四则运算 ||  
| 除数 ||  
| sìzé yùnsuàn ||  
| chú shù ||  
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||  
| Divisor [m] ||
| diviseur [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||
| مَقسوم عَلیه ||
| چهار عَمَل اَصلی ||
|  ||  
|  ||  
|-
|-
| division || number (abstract idea); binary operation <mathematical logic>
| exponent || exponentiation
| 除法 ||  
| 幂, 指数 ||  
| chú fǎ ||  
| mì, zhǐ shù ||  
| Division [f] ||  
| Hochzahl [f], Exponent [m] ||  
| division [f] ||  
| exposant [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
| تَقسیم ||
| نَما، قُوه، تَوان ||
|  ||  
|  ||  
|-
|-
| exponentiation || number (abstract idea); binary operation <mathematical logic>
| logarithm || number (abstract idea); binary operation <mathematical logic>
| 幂运算, 指数运算 ||  
| 对数 ||  
| mì yùnsuàn, zhǐshù yùnsuàn ||  
| duì shù ||  
| Potenz [f] ||  
| Logarithmus [m] ||
| logarithme [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| تَوان ||
|  ||  
|  ||  
|-
|-
| decimal logarithm, common logarithm || logarithm
| minuend || subtraction
| 常用对数 ||  
| 被减数 ||  
| chángyòng duìshù ||  
| bèijiǎn shù ||  
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||  
| Minuend [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| لُگاریتم بَر پایه دَه ||
|  ||  
|  ||  
|-
|-
| degree || nth root
| multiplicand || multiplication; operand <mathematical logic>
| 次方根 ||  
| 被乘数 ||  
| cìfāng gēn ||  
| bèichéng shù ||  
| Wurzelgrad [m] ||  
| Multiplikand [m] ||  
| degré [m] ||  
| ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| دَرَجه ||
|  ||  
|  ||  
|-
|-
| difference || subtraction
| multiplication || number (abstract idea); binary operation <mathematical logic>
| 差 ||  
| 乘法 ||  
| chā ||  
| chéng fǎ ||  
| Differenz [f] ||  
| Multiplikation [f] ||  
| différence [f] ||  
| ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| تَفاضُل ||
|  ||  
|  ||  
|-
|-
| dividend || fraction; operand <mathematical logic>
| multiplier || multiplication; operand <mathematical logic>
| 被除数 ||  
| 乘数 ||  
| bèichú shù ||  
| chéng shù ||  
| Dividend [m] ||  
| Multiplikator [m] ||  
| dividende [m] ||  
| ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| مَقسوم ||
|  ||  
|  ||  
|-
|-
| division by zero || division; zero
| natural logarithm || Euler's number; logarithm
| 除以零 ||  
| 自然对数 ||  
| chú yǐ líng ||  
| zìrán duìshù ||  
| Division [f] durch Null ||  
| natürlicher Logarithmus ||  
| division [f] par zéro ||  
| ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| تَقسیم بَر صِفر ||
|  ||  
|  ||  
|-
|-
| division with remainder, Euclidean division || division
| nth root || binary operation <mathematical logic>
| 带余除法, 欧几里德除法 ||  
| 次方根 ||  
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ ||  
| cìfāng gēn ||  
| Division [f] mit Rest ||  
| Wurzel [f] , Radikal [n] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی ||
|  ||  
|  ||  
|-
|-
| divisor || division; operand <mathematical logic>
| product || multiplication
| 除数 ||  
| 积 ||  
| chú shù ||  
| jī ||  
| Divisor [m] ||
| Produkt [n] ||  
| diviseur [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
| مَقسوم عَلیه ||
|  ||  
|  ||  
|-
| exponent || exponentiation
| 幂, 指数 ||
| mì, zhǐ shù ||
| Hochzahl [f], Exponent [m] ||
| exposant [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
| نَما، قُوه، تَوان ||
|-
| quotient || division
| 商 ||
| shāng ||
| Quotient [f] ||  
|  ||  
|  ||  
|-
| logarithm || number (abstract idea); binary operation <mathematical logic>
| 对数 ||
| duì shù ||
| Logarithmus [m] ||
| logarithme [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,344: Line 1,364:
|  ||  
|  ||  
|-
|-
| minuend || subtraction
| root || nth root
| 被减数 ||  
| 根 ||  
| bèijiǎn shù ||  
| gēn ||  
| Minuend [m] ||  
| Wurzel [f] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,354: Line 1,374:
|  ||  
|  ||  
|-
|-
| multiplicand || multiplication; operand <mathematical logic>
| root extraction || nth root
| 被乘数 ||  
| 开方 ||  
| bèichéng shù ||  
| kāi fāng ||  
| Multiplikand [m] ||  
| Radizieren [n] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,364: Line 1,384:
|  ||  
|  ||  
|-
|-
| multiplication || number (abstract idea); binary operation <mathematical logic>
| subtraction || number (abstract idea); binary operation <mathematical logic>
| 乘法 ||  
| 减法 ||  
| chéng fǎ ||  
| jiǎn fǎ ||  
| Multiplikation [f] ||  
| Subtraktion [f], Abziehen [n], Abzug [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,374: Line 1,394:
|  ||  
|  ||  
|-
|-
| multiplier || multiplication; operand <mathematical logic>
| subtrahend || subtraction
| 乘数 ||  
| 减数 ||  
| chéng shù ||  
| jiǎn shù ||  
| Multiplikator [m] ||  
| Subtrahend [m] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,384: Line 1,404:
|  ||  
|  ||  
|-
|-
| natural logarithm || Euler's number; logarithm
| sum || addition
| 自然对数 ||  
| 和 ||  
| zìrán duìshù ||  
| hé ||  
| natürlicher Logarithmus ||  
| Summe [f] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,394: Line 1,414:
|  ||  
|  ||  
|-
|-
| nth root || binary operation <mathematical logic>
| 次方根 ||
| cìfāng gēn ||
| Wurzel [f] , Radikal [n] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,403: Line 1,419:
|  ||  
|  ||  
|  ||  
|  ||  
|-
| product || multiplication
| 积 ||
| jī ||
| Produkt [n] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|}
{| 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
|+ number system
| number system ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
| quotient || division
| 商 ||
| shāng ||
| Quotient [f] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,424: Line 1,446:
|  ||  
|  ||  
|-
|-
| root || nth root
| 根 ||
| gēn ||
| Wurzel [f] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
| root extraction || nth root
| 开方 ||
| kāi fāng ||
| Radizieren [n] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,444: Line 1,456:
|  ||  
|  ||  
|-
|-
| subtraction || number (abstract idea); binary operation <mathematical logic>
| algebraic number || complex number; root <algebra>
| 减法 ||
| jiǎn fǎ ||
| Subtraktion [f], Abziehen [n], Abzug [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
| subtrahend || subtraction
| 减数 ||
| jiǎn shù ||
| Subtrahend [m] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,464: Line 1,466:
|  ||  
|  ||  
|-
|-
| sum || addition
| complex number || imaginary number; real number
| 和 ||  
| 复数 ||  
| hé ||  
| fù shù ||  
| Summe [f] ||  
| 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 ||
{| class="wikitable sortable"
| imaginäre Zahl ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
| nombre [m] imaginaire ||  
! 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
| number system ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
| integer || natural number; negative number
| 整数 ||
| zhěng shù ||
| Ganzzahl [f], ganze Zahl ||
| entier ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,506: Line 1,516:
|  ||  
|  ||  
|-
|-
| irrational number || rational number; real number
| 无理数 ||
| wúlǐ shù ||
| irrationale Zahl ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
| natural number, counting number || number (abstract idea)
| 自然数 ||
| zìrán shù ||
| natürliche Zahl ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,516: Line 1,536:
|  ||  
|  ||  
|-
|-
| algebraic number || complex number; root <algebra>
| prime number, prime || product; natural number
| 质数, 素数 ||
| zhì shù, sù shù ||
| Primzahl [f] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,522: Line 1,545:
|  ||  
|  ||  
|  ||  
|  ||  
|-
| rational number || fraction; integer
| 有理数 ||
| yǒulǐ shù ||
| rationale Zahl ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
| complex number || imaginary number; real number
| 复数 ||
| fù shù ||
| komplexe Zahl ||
| nombre [m] complexe ||
|  ||  
|  ||  
|  ||  
|  ||  
| اَعدادِ مُختَلِط ||
|-
| real number || rational number
| 实数 ||
| shí shù ||
| reelle Zahl ||  
|  ||  
|  ||  
|-
| composite number || division; natural number
| 合数, 合成数 ||
| hé shù, héchéng shù ||
| zusammengesetzte Zahl ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| عَدَد مُرَکَب، عَدَد غِیر اَول ||
|  ||  
|  ||  
|-
|-
| fraction || division; integer
| transcendental number || algebraic number
| 分数 ||
| ||  
| fēn shù ||
| Bruch [m] ||
| fraction [f] ||  
|  ||  
|  ||  
|  ||  
|  ||  
| کَسر ||
|  ||  
|  ||  
|-
| imaginary number || negative number; exponentiation
| 虚数 ||
| xū shù ||
| imaginäre Zahl ||
| nombre [m] imaginaire ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,566: Line 1,576:
|  ||  
|  ||  
|-
|-
| 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 1,585: Line 1,585:
|  ||  
|  ||  
|  ||  
|  ||  
|-
|}
| natural number, counting number || number (abstract idea)
 
| 自然数 ||
{| class="wikitable sortable"
| zìrán shù ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
| natürliche Zahl ||
! 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
| prime number, prime || product; natural number
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
| 质数, 素数 ||  
|+ numeral system
| zhì shù, sù shù ||  
| numeral system || notation
| Primzahl [f] ||  
| 数制, 记数系统, 记数法 ||  
| shù zhì, jìshù xìtǒng, jìshù fǎ ||  
| Zahlensystem [n] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,606: Line 1,608:
|  ||  
|  ||  
|-
|-
| rational number || fraction; integer
| 有理数 ||
| yǒulǐ shù ||
| rationale Zahl ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
| real number || rational number
| 实数 ||
| shí shù ||
| reelle Zahl ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,626: Line 1,618:
|  ||  
|  ||  
|-
|-
| transcendental number || algebraic number
| binary system || numeral system
| ||  
| 二进制 ||
| èr jìnzhì ||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
| système [m] binaire ||  
|  ||  
|  ||  
|  ||  
|  ||  
| سیستِم باینِری ||
|  ||  
|  ||  
|-
| decimal, base-ten || integer
| 十进制 ||
| shíjìn zhì ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| دِسیمال، اَعداد بَر پایه دَه ||
|  ||  
|  ||  
|-
|-
| hexadecimal, base 16, hex || numeral system
| 十六进制 ||
| shíliù jìnzhì ||
| Hexadezimalsystem [n], Sedezimalsystem [n] ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
| octal, oct || numeral system
| 八进制 ||
| bā jìnzhì ||
| Oktalsystem [n] ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,645: Line 1,657:
|  ||  
|  ||  
|  ||  
|  ||  
|}
|-
 
| unary system || numeral system
{| class="wikitable sortable"
| 一进制 ||  
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
| yī jìnzhì ||  
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
| Unärsystem [n] ||  
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|+ numeral system
| numeral system || notation
| 数制, 记数系统, 记数法 ||  
| shù zhì, jìshù xìtǒng, jìshù fǎ ||  
| Zahlensystem [n] ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,677: Line 1,677:
|  ||  
|  ||  
|  ||  
|  ||  
|-
|}
| binary system || numeral system
 
| 二进制 ||  
{| class="wikitable sortable"
| èr jìnzhì ||  
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
| système [m] binaire ||  
! 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
|+ series
| rounding || decimal representation
| 数值修约 ||  
| shùzhí xiūyuē ||  
| Rundung [f], Runden [n] ||  
|  ||  
|  ||  
|  ||
| 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
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero
| 十六进制 ||  
| 无条件简化 ||  
| shíliù jìnzhì ||
| wútiáojiàn jiǎnhuà ||  
| Hexadezimalsystem [n], Sedezimalsystem [n] ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| رُند کَردن ||
|  ||  
|  ||  
|-
|-
| octal, oct || numeral system
| rounding away from zero, rounding towards infinity || rounding
| 八进制 ||  
| 向无穷取整 ||  
| bā jìnzhì ||  
| xiàng wúqióng qǔzhěng ||  
| Oktalsystem [n] ||  
| Wegrunden [n] von Null ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,718: Line 1,720:
|  ||  
|  ||  
|-
|-
| unary system || numeral system
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| xiàng xià qǔzhěng ||  
| Unärsystem [n] ||  
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Revision as of 23:41, 6 February 2022


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↑んてい pes-Aran-IR: مَفهوم pes-Aran-IR: پیش‌نیاز 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 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

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↑んてい pes-Aran-IR: مَفهوم pes-Aran-IR: پیش‌نیاز rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
absolute value, modulus real number 绝对值 juéduì zhí Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert valeur [f] absolue قَدرِ مُطلَق
additive inverse, opposite, negation addition; number (abstract idea) 加法逆元, 相反数 jiāfǎ nìyuán, xiāngfǎn shù Gegenzahl [f] وارون اَفزایِِشی
chisanbop addition; subtraction 指算法 zhǐsuàn fǎ Chisanbop [n] مُحاسِبه اَنگُشتی
congruent modulo integer; absolute value; divisor; difference
constant number (abstract idea) 常数, 定数 cháng shù, dìng shù Konstante [f], Festwert [m] constante [f] ثابِت
continued fraction integer part; multiplicative inverse
coprime integers, relatively prime integers, mutually prime integers prime number; divisor
counting rods basic operation 算筹, 算子 suàn chóu, suàn zǐ Zählstäbe [m pl] میله های شُمارِش
Cuisenaire rods basic operations 古氏积木 Gǔshì jīmù Cuisenaire-Stäbchen [n pl]
decimal representation number (symbol) 小数 xiǎo shù Dezimaldarstellung [f] نَمایِِش اَعشاری، نَمایش دَهدَهی
decimal separator decimal representation; radix character 小数点 xiǎoshù diǎn Dezimaltrennzeichen [n] مُمَیِِز
denominator fraction; operand <mathematical logic> 分母 fēn mǔ Nenner [m] dénominateur [m] مَخرَج کَسر
digit number (abstract idea); symbol 数字（单个符号） shù zì (dāngè fúhào) Ziffer [f] chiffre [m] رَقَم
direct proportionality proportionality
Diophantine approximation real number
Egyptian fraction unit fraction 埃及分数 Āijí fēnshù Stammbruchzerlegung [f] کَسر مِصری
engineering notation scientific notation 工程计数法 gōngchéng jìshù fǎ technische Notation [f] نَماد مُهَندِسی
Euclid's lemma prime number 欧几里得引理 Ōujīlǐdé yǐnlǐ Lemma [n] von Euklid لِم اُقلیدُس، بُرهانِ کُمَکی اُقلیدُس
Euler's number, e constant 自然常数, 自然底数, 欧拉数 zìrán chángshù, zìrán dǐshù, Ōulā shù Eulersche Zahl عَدَد اویلِر
even number natural number; division 偶数 ǒu shù gerade Zahl عَدَد زوج
extreme proportion 外项
finger binary addition; subtraction; binary system 二进制指算法 èrjìnzhì zhǐsuànfǎ binär zählen mit Fingern [m pl] مُحاسِبه اَنگُشتی باینِری(دودویی)
factorization, factoring object 因式分解 yīnshì fēnjiě Faktorisierung [f] factorisation [f] تَجزیه (به عامِلها)
finite continued fraction, terminated continued fraction continued fraction; infinity
golden ratio ratio; addition; root extraction
greatest common divisor integer; division
imaginary unit, unit imaginary number imaginary number 虚数单位 xūshù dānwèi imaginäre Einheit
improper fraction fraction 假分数 jiǎ fēnshù unechter Bruch, uneigentlicher Bruch
infinite continued fraction continued fraction; infinity
infinity number (abstract idea) 无穷 wú qióng Unendlichkeit [f]
inverse function, anti-function function <mathematical logic> 反函数 fǎn hánshù Umkehrfunktion [f], inverse Funktion fonction [f] inverse
inverse proportionality proportionality
irreducible fraction, fraction in lowest terms, simplest form, reduced fraction fraction; coprime integer
lattice multiplication multiplication 格子乘法, 铺地锦算法 gézi suànfǎ, pūdìjǐn suànfǎ Gittermethode [f]
lowest common denominator, least common denominator lowest common multiple
lowest common multiple, least common multiple, smallest common multiple integer; division; denominator
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
mean proportion 内项
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]
multiplication table multiplication 乘法表 chéngfǎ biǎo Einmaleins [n]
multiplicative inverse, reciprocal multiplication; reciprocation 乘法逆元, 倒数 chéngfǎ nìyuán, dào shù Kehrwert [m]
Napier's rods, Napier's bones lattice multiplication 纳皮尔筹 Nàpí'ěr chóu Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen
negative number number (abstract idea) 负数 fù shù negative Zahl
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
number (abstract idea) object 数 shù zì (chōuxiàng gàiniàn) Zahl [f] (abstrakte Idee)
number (symbol), numeral digit 数字（整个符号） shù zì (zhěnggè fúhào) Zahl [f] (Symbol)
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]
object 物体 wù tǐ Objekt [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 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
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 (abstract idea) 正数 zhèng shù positive Zahl
proper fraction fraction 真分数 zhēn fēnshù echter Bruch, eigentlicher Bruch
proportion constant; sequence; ratio
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]
repeating decimal, recurring decimal 循环小数 xúnhuán xiǎoshù periodische Dezimalzahlen [f pl]
parentheses operator precedence 圆括号, 括弧号 yuán kuòhào, kuòhú hào runde Klammern [f pl]
significand scientific notation
silver ratio, silver mean ratio; addition; root extraction
simple fraction, common fraction, vulgar fraction fraction 简分数 jiǎn fēnshù gemeiner Bruch, gewöhnlicher Bruch
scientific notation significant figures; multiplication; exponentiation 科学计数法 kēxué jìshù fǎ wissenschaftliche Notation [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]
square number, perfect square integer; square <algebra>
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]
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 (abstract idea) 零 líng Null [f]
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
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 pascaline パスカリン パ↑スカ↓リン суммирующая машина Паска́ля, Паскали́на
nomogram, nomograph analog computer 列线图, 诺谟图 lièxiàn tú, nuòmò tú Nomogramm [n], Nomographie [f]
slide rule analog computer 计算尺 jìsuàn chǐ Rechenschieber [m], Rechenstab [m]
eng-Latn-US: concept eng-Latn-US: prerequisite cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい pes-Aran-IR: مَفهوم pes-Aran-IR: پیش‌نیاز rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
arithmetic operation
arithmetic operation binary operation
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]
minuend subtraction 被减数 bèijiǎn shù Minuend [m]
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]
multiplier multiplication; operand <mathematical logic> 乘数 chéng shù Multiplikator [m]
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]
product multiplication 积 jī Produkt [n]
quotient division 商 shāng Quotient [f]
root nth root 根 gēn Wurzel [f]
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]
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
number system
algebraic number complex number; root <algebra>
complex number imaginary number; real number 复数 fù shù komplexe Zahl nombre [m] complexe اَعدادِ مُختَلِط
composite number division; natural number 合数, 合成数 hé shù, héchéng shù zusammengesetzte Zahl عَدَد مُرَکَب، عَدَد غِیر اَول
fraction division; integer 分数 fēn shù Bruch [m] fraction [f] کَسر
imaginary number negative number; exponentiation 虚数 xū shù imaginäre Zahl nombre [m] imaginaire
integer natural number; negative number 整数 zhěng shù Ganzzahl [f], ganze Zahl entier
irrational number rational number; real number 无理数 wúlǐ shù irrationale Zahl
natural number, counting number number (abstract idea) 自然数 zìrán shù natürliche Zahl
prime number, prime product; natural number 质数, 素数 zhì shù, sù shù Primzahl [f]
rational number fraction; integer 有理数 yǒulǐ shù rationale Zahl
real number rational number 实数 shí shù reelle Zahl
transcendental number algebraic number
eng-Latn-US: concept eng-Latn-US: prerequisite cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい pes-Aran-IR: مَفهوم pes-Aran-IR: پیش‌نیاز rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
numeral system
numeral system notation 数制, 记数系统, 记数法 shù zhì, jìshù xìtǒng, jìshù fǎ Zahlensystem [n]
binary system numeral system 二进制 èr jìnzhì Dualsystem [n], Zweiersystem [n], Binärsystem [n] système [m] binaire سیستِم باینِری
decimal, base-ten integer 十进制 shíjìn zhì Dezimalsystem [n], Zehnersystem [n], dekadisches System دِسیمال، اَعداد بَر پایه دَه
hexadecimal, base 16, hex numeral system 十六进制 shíliù jìnzhì Hexadezimalsystem [n], Sedezimalsystem [n]
octal, oct numeral system 八进制 bā jìnzhì Oktalsystem [n]
unary system numeral system 一进制 yī jìnzhì Unärsystem [n]
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
series
rounding decimal representation 数值修约 shùzhí xiūyuē Rundung [f], Runden [n]
direct rounding rounding up; rounding down; rounding towards zero; rounding away from zero 无条件简化 wútiáojiàn jiǎnhuà رُند کَردن
rounding away from zero, rounding towards infinity rounding 向无穷取整 xiàng wúqióng qǔzhěng Wegrunden [n] von Null
rounding down, rounding towards negative infinity rounding 向下取整 xiàng xià qǔzhěng Abrunden [n]
rounding towards zero, rounding away from infinity rounding 向零取整 xiàng líng qǔzhěng Runden [n] gegen Null
rounding up, rounding towards positive infinity rounding 向上取整 xiàng shàng qǔzhěng Aufrunden
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
series
series element <mathematical logic>; number
arithmetic progression, arithmetic sequence sequence
common difference arithmetic progression
common ratio geometic progression
geometric progression. geometric sequence sequence

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↑んてい 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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

2341px-Sierpinski Pascal triangle.svg.png

* 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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
add
divide by
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
multiply
subtract
extract the root, radicate
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
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

Symbol

Arithmetic

symbol eng-Latn-US: concept cmn-Hans-CN: 概念 cmn-Latn.Pinyin-CN: gàiniàn deu-Latn-DE: Begriff [m] fra-Latn-FR: concept [m] jpn-Jpan-JP: 概念 jpn-Hrkt-JP: が↓いねん rus-Cyrl-RU: конце́пция
+ addition; positive number
- subtraction; negative number
× multiplication
÷ division
% percent
√ root
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to
≡ congruent modulo
∞ infinity
E, e E notation
e Euler's number
lg decimal logarithm
log logarithm
ln natural logarithm

Process

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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