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Multiple-languages Language Multiple-languages Vocabulary: Number Theory

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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 نظریه اعداد тео́рия чи́сел
arithmetic 算术 suàn shù Arithmetik [f] arithmétique [f] 算数 さ↑んす↓う علم حساب 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 نظریه جبری اعداد 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 نظریه تحلیل اعداد аналити́ческая тео́рия чи́сел

Arithmetic[edit | edit source]

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
abacus mechanical calculator 算盘 suàn pan Abakus [m] چرتکه
absolute value, modulus real number 绝对值 juéduì zhí Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert valeur [f] absolue قدر مطلق
addition number (abstract idea); binary operation <mathematical logic> 加法 jiā fǎ Addition [f] addition [f] جمع
additive inverse, opposite, negation addition; number (abstract idea) 加法逆元, 相反数 jiāfǎ nìyuán, xiāngfǎn shù Gegenzahl [f] وارون افزایشی
addend, summand addition; operand <mathematical logic> 加数 jiā shù Summand [m] جمع وند/عامل جمع
analog computer basic operation; logarithm; exponentiation 模拟计算机 mónǐ jìsuànjī Analogrechner [m] رایانه قیاسی
augend addition; operand <mathematical logic> 被加数 bèijiā shù erster Summand مولفه دوم جمع اعداد
base (exponentiation) exponentiation 底数(指数), 基数(指数) dǐ shù (zhǐ shù), jīshù (zhǐ shù) Basis [f] (Exponentiation) پایه (عدد نمایی)
base (logarithm) logarithm 底数(对数), 基数(对数) dǐ shù (duì shù), jīshù (duì shù) Basis [f] (Logarithmus) پایه (عدد لوگاریتمی)
basic operation addition; division; multiplication; subtraction 四则运算 sìzé yùnsuàn Grundrechnungsarten [f pl], Grundrechenarten [f pl] چهار عمل اصلی
binary logarithm logarithm 以二为底的对数 yǐ èr wéi dǐ de duìshù binärer Logarithmus, dualer Logarithmus logarithme [m] binaire لوگاریتم باینری (دو دویی)
binary system numeral system 二进制 èr jìnzhì Dualsystem [n], Zweiersystem [n], Binärsystem [n] système [m] binaire سیستم باینری
chisanbop addition; subtraction 指算法 zhǐsuàn fǎ Chisanbop [n] محاسبه انگشتی
complex number imaginary number; real number 复数 fù shù komplexe Zahl nombre [m] complexe اعداد مختلط
composite number division; natural number 合数, 合成数 hé shù, héchéng shù zusammengesetzte Zahl عدد مرکب/عدد غیر اول
constant number (abstract idea) 常数, 定数 cháng shù, dìng shù Konstante [f], Festwert [m] constante [f] ثابت
counting rods basic operation 算筹, 算子 suàn chóu, suàn zǐ Zählstäbe [m pl] میله های شمارش
decimal, base-ten integer 十进制 shíjìn zhì Dezimalsystem [n], Zehnersystem [n], dekadisches System دسیمال/ اعداد بر پایه ده
decimal logarithm, common logarithm logarithm 常用对数 chángyòng duìshù dekadischer Logarithmus, Zehnerlogarithmus [m] لگاریم بر پایه ده
decimal representation number (symbol) 小数 xiǎo shù Dezimaldarstellung [f] نمایش اعشاری/نمایش دهدهی
decimal separator decimal representation; radix character 小数点 xiǎoshù diǎn Dezimaltrennzeichen [n] ممیز
degree nth root 次方根 cìfāng gēn Wurzelgrad [m] degré [m] درجه
denominator fraction; operand <mathematical logic> 分母 fēn mǔ Nenner [m] dénominateur [m] مخرج کسر
difference subtraction chā Differenz [f] différence [f] تفاضل
digit number (abstract idea); symbol 数字(单个符号) shù zì (dāngè fúhào) Ziffer [f] chiffre [m] رقم
direct rounding rounding up; rounding down; rounding towards zero; rounding away from zero 无条件简化 wútiáojiàn jiǎnhuà رُند کردن
dividend fraction; operand <mathematical logic> 被除数 bèichú shù Dividend [m] dividende [m] مقسوم
division number (abstract idea); binary operation <mathematical logic> 除法 chú fǎ Division [f] division [f] تقسیم
division by zero division; zero 除以零 chú yǐ líng Division [f] durch Null division [f] par zéro تقسیم بر صفر
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]
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 (abstract idea); 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]
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 (abstract idea) 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]
logarithm number (abstract idea); 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 機械式計算機 き↓かいしきけ↑いさ↓んき 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]
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 (abstract idea); 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 (abstract idea) 自然数 zìrán shù natürliche Zahl
negative number number (abstract idea) 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]
number (abstract idea) object 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]
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 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
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 (abstract idea) 正数 zhèng shù positive Zahl
prime number, prime product; natural number 质数, 素数 zhì shù, sù shù Primzahl [f]
product multiplication Produkt [n]
proper fraction fraction 真分数 zhēn fēnshù echter Bruch, eigentlicher Bruch
quotient division 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 (abstract idea) 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 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 (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 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 (abstract idea) líng Null [f]

Algebraic Number Theory[edit | edit source]

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[edit | edit source]

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 *[edit | edit source]

Adjective & Adjective Phrase; Verb & Verb Phrase[edit | edit source]

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[edit | edit source]

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[edit | edit source]

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[edit | edit source]

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 -

Contributors

GrimPixel, Vincent and Saeid136


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