Polyglot Club WIKI - User contributions [en]

Language/Iranian-persian/Vocabulary/Tongue-twisters

2022-07-11T14:44:54Z

Saeid136: add diacritics and also one row

<div class="pg_page_title">Tongue Twisters in Iranian Persian</div>

[[File:Getty pronunciation-531518461-56af8fa45f9b58b7d01a9003.jpg|thumb]]
{| class="wikitable"
!Pronunciation
!Persian
!English
|-
|semsar to semsarish pooste soosmar dasht
|سِمسار تو سِمساریش پوستِ سوسمار داشت
|The seller of second-hand goods in his shop has lizard skin
|-
|angoor anbe azgil urangootan
|اَنگور اَنبه اَزگیل اُورانگوتان
|Grape Mango Medlar Orangutan
|-
|ghoolaru ba ghand gool mizanim
|غولارو با قَند گول میزَنیم
|We fool the giants with sugar
|-
|kuktel kutlet,kutlet kuktel
|کُوکتِل کُتلِت،کُتلِت کوکتِل
|Cocktail Cutlet,Cutlet Cocktail
|-
|rish shiri sibil shiri,sibil shiri rish shiri
|ریشِ شیری سیبیلِ شیری،سیبیلِ شیری ریشِ شیری
|Milky Beard Milk mustache,Milk mustache Milky Beard
|-
|shust,seshuvar kard
|شُست،سِشوار کَرد
|Washing, drying
|-
|in bad che bad bade badi bood ke man bad be bad badie in bad degar bad nadidam
|این باد چه بَد بادِ بَدی بود که مَن باد به بَد بادی این باد دِگَر باد نَدیدَم
|what is this wind, that I have never seen worst that it.
|-
|rali lari
|رالی لاری
|Rally Larry
|}

Language/Iranian-persian/Vocabulary/Fitness

2022-07-11T05:24:04Z

Saeid136: add diacritics

<div class="pg_page_title">Fitness Vocabulary in Iranian Persian</div>
[[File:Clapping-push-ups.jpg|thumb]]

Hello Persian learners,

➡ In today's lesson you will learn some useful vocabulary related to "Fitness" in Iranian Persian.

Happy learning!

{| class="wikitable"
!'''English'''
!'''Persian'''
!'''Pronunciation'''
|-
|'''Head'''
|'''سَر'''
|sar
|-
|'''shoulder'''
|'''شانه'''
|shane
|-
|'''knees'''
|'''زانو'''
|zano
|-
|'''toes'''
|'''اَنگُشتانِ پا'''
|angushtan-e-pa
|-
|'''Groin'''
|'''کِشاله ران'''
|keshale-e-ran
|-
|'''thigh'''
|'''ران'''
|ran
|-
|'''Forearm'''
|'''ساعِد'''
|saed
|-
|'''Armpit'''
|'''زیر بَغَل'''
|zir-e-baghal
|-
|'''Tenderloin'''
|'''فیله'''
|file
|-
|'''piggyback'''
|'''کول'''
|kool
|-
|'''Hamstring'''
|'''عَضُلاتِ عَقَبِ ران'''
|azolat-e-aghab-e-ran
|-
|'''abs'''
|'''عَضُلاتِ شِکَم'''
|azolat-e-shekam
|-
|'''warm up'''
|'''گَرم کَردن'''
|garm kardan
|-
|'''Aerobic'''
|'''هَوازی'''
|havazi
|-
|'''Nash Bend'''
|'''نَش خَم'''
|nesh kham
|-
|'''Upper chest press'''
|'''پِرِسِ بالا سینه'''
|peres-e-bala sine
|-
|'''Jump'''
|'''پَریدَن'''
|paridan
|-
|'''chest day'''
| '''روزِ سینه'''
|roze sine
|-
|'''leg day'''
|'''روزِ پا'''
|roze pa
|-
|'''Treadmill'''
|'''تِرِد میل'''
|tered mil
|-
|'''parallel'''
|'''پارالِل موازی'''
|paralel-e-muvazi
|-
|'''push up'''
|'''شِنا رَفتَن'''
|shena raftan
|-
|'''Twist'''
|'''پیچِش'''
|pichesh
|-
|'''Raise'''
|'''بالا بُردن'''
|bala burdan
|-
|'''plank'''
|'''تَختِه'''
|takhte
|-
|'''Dumbbell'''
|'''دَمبِل'''
|dambel
|-
|'''Chest Press'''
|'''پِرِسِ سینه'''
|peres-e-sine
|-
|'''Barbell'''
|'''هالتِر'''
|halter
|-
|'''squats'''
|'''چُمباتمه زَدَن'''
|chumbatme
|}

Language/Multiple-languages/Vocabulary/Number-Theory

2021-12-15T06:21:15Z

Saeid136: add diacritics

[[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 ==
{| 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
|-
| abacus || mechanical calculator
| 算盘 ||
| suàn pan ||
| Abakus [m] ||
| ||
| ||
| ||
| چُرتکه ||
| ||
|-
| absolute value, modulus || real number
| 绝对值 ||
| juéduì zhí ||
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert ||
| valeur [f] absolue ||
| ||
| ||
| قَدرِ مُطلَق ||
| ||
|-
| addition || number (abstract idea); binary operation <mathematical logic>
| 加法 ||
| jiā fǎ ||
| Addition [f] ||
| addition [f] ||
| ||
| ||
| جَمع ||
| ||
|-
| additive inverse, opposite, negation || addition; number (abstract idea)
| 加法逆元, 相反数 ||
| jiāfǎ nìyuán, xiāngfǎn shù ||
| Gegenzahl [f] ||
| ||
| ||
| ||
| وارون اَفزایِِشی ||
| ||
|-
| addend, summand || addition; operand <mathematical logic>
| 加数 ||
| jiā shù ||
| Summand [m] ||
| ||
| ||
| ||
| جَمع وند/عامل جَمع ||
| ||
|-
| 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 ||
| ||
| ||
| ||
| 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) ||
| ||
|-
| basic operation || addition; division; multiplication; subtraction
| 四则运算 ||
| sìzé yùnsuàn ||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||
| ||
| ||
| ||
| چهار عَمَل اَصلی ||
| ||
|-
| 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) ||
| ||
|-
| binary system || numeral system
| 二进制 ||
| èr jìnzhì ||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
| système [m] binaire ||
| ||
| ||
| سیستِم باینِری ||
| ||
|-
| chisanbop || addition; subtraction
| 指算法 ||
| zhǐsuàn fǎ ||
| Chisanbop [n] ||
| ||
| ||
| ||
| مُحاسِبه اَنگُشتی ||
| ||
|-
| 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 ||
| ||
|-
| constant || number (abstract idea)
| 常数, 定数 ||
| cháng shù, dìng shù ||
| Konstante [f], Festwert [m] ||
| constante [f] ||
| ||
| ||
| ثابِت ||
| ||
|-
| 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, base-ten || integer
| 十进制 ||
| shíjìn zhì ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System ||
| ||
| ||
| ||
| دِسیمال/ اَعداد بَر پایه دَه ||
| ||
|-
| decimal logarithm, common logarithm || logarithm
| 常用对数 ||
| chángyòng duìshù ||
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||
| ||
| ||
| ||
| لُگاریتم بَر پایه دَه ||
| ||
|-
| 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 ||
| ||
|-
| degree || nth root
| 次方根 ||
| cìfāng gēn ||
| Wurzelgrad [m] ||
| degré [m] ||
| ||
| ||
| دَرَجه ||
| ||
|-
| denominator || fraction; operand <mathematical logic>
| 分母 ||
| fēn mǔ ||
| Nenner [m] ||
| dénominateur [m] ||
| ||
| ||
| مَخرَج کَسر ||
| ||
|-
| difference || subtraction
| 差 ||
| chā ||
| Differenz [f] ||
| différence [f] ||
| ||
| ||
| تَفاضُل ||
| ||
|-
| digit || number (abstract idea); symbol
| 数字（单个符号） ||
| shù zì (dāngè fúhào) ||
| Ziffer [f] ||
| chiffre [m] ||
| ||
| ||
| رَقَم ||
| ||
|-
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero
| 无条件简化 ||
| wútiáojiàn jiǎnhuà ||
| ||
| ||
| ||
| ||
| رُند کَردن ||
| ||
|-
| dividend || fraction; operand <mathematical logic>
| 被除数 ||
| bèichú shù ||
| Dividend [m] ||
| dividende [m] ||
| ||
| ||
| مَقسوم ||
| ||
|-
| division || number (abstract idea); binary operation <mathematical logic>
| 除法 ||
| chú fǎ ||
| Division [f] ||
| division [f] ||
| ||
| ||
| تَقسیم ||
| ||
|-
| 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||
| ||
|-
| 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||
| ||
|-
| exponent || exponentiation
| 幂, 指数 ||
| mì, zhǐ shù ||
| Hochzahl [f], Exponent [m] ||
| exposant [m] ||
| ||
| ||
|نَما، قُوه، تَوان||
| ||
|-
| exponentiation || number (abstract idea); binary operation <mathematical logic>
| 幂运算, 指数运算 ||
| mì yùnsuàn, zhǐshù yùnsuàn ||
| Potenz [f] ||
| ||
| ||
| ||
|تَوان||
| ||
|-
| finger binary || addition; subtraction; binary system
| 二进制指算法 ||
| èrjìnzhì zhǐsuànfǎ ||
| binär zählen mit Fingern [m pl] ||
| ||
| ||
| ||
|مُحاسِبه اَنگُشتی باینِری(دودویی)||
| ||
|-
| fraction || division; integer
| 分数 ||
| fēn shù ||
| Bruch [m] ||
| fraction [f] ||
| ||
| ||
|کَسر||
| ||
|-
| factorization, factoring || object
| 因式分解 ||
| yīnshì fēnjiě ||
| Faktorisierung [f] ||
| factorisation [f] ||
| ||
| ||
|تَجزیه (به عامِلها)||
| ||
|-
| 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
| 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] ||
| ||
| ||
| ||
| ||
| ||
|-
| 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
| 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 (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] ||
| ||
| ||
| ||
| ||
| ||
|-
| repeating decimal, recurring decimal ||
| 循环小数 ||
| xúnhuán xiǎoshù ||
| periodische Dezimalzahlen [f pl] ||
| ||
| ||
| ||
| ||
| ||
|-
| 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 (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] ||
| ||
| ||
| ||
| ||
| ||
|-
| 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)
| 零 ||
| líng ||
| Null [f] ||
| ||
| ||
| ||
| ||
| ||
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Algebraic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Analytic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]

== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 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 ===
{| class="wikitable sortable"
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Hrkt-JP: が↓いねん
! rus-Cyrl-RU: конце́пция
|-
| +
| addition; positive number
|
|
|
|
|
|
|
|-
| -
| subtraction; negative number
|
|
|
|
|
|
|
|-
| ×
| multiplication
|
|
|
|
|
|
|
|-
| ÷
| division
|
|
|
|
|
|
|
|-
| %
| percent
|
|
|
|
|
|
|
|-
| √
| root
|
|
|
|
|
|
|
|-
| <
| 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 ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
| 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 ===
{| class="wikitable sortable"
! 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<nowiki>|</nowiki>Alpha
| https://www.wolframalpha.com/
| English; Japanese
| -
|-
|
|
|
|
|
|}

{{Sci-Tech-Index-Menu}}

Language/Iranian-persian/Vocabulary/Bird

2021-12-15T06:06:51Z

Saeid136: add diacritics

[[File:Bird 1.jpg|thumb]]
{| class="wikitable sortable"
!'''Bird name'''
!'''In Persian'''
!'''pronunciation in Persian'''
|-
|swan
|قو
|Ghu [ɣu:]
|-
|Nightingale
|بُلبُل
|Bolbol [bol-bol]
|-
|Eagle
|عُقاب
|Oghab [oɣa:b]
|-
|Vulture
|کَرکَس
|Karkas [kær-kæs]
|-
|Ostrich
|شُتُرمُرغ
|Shotor morgh [ʃotor-morɣ]
|-
|Duck
|اُردَک
|Ordak [ordæk]
|-
|Pigeons
|کَبوتَر
|Kabootar [kæbu:tær]
|-
|Swallow
|پَرَستو
|Parastoo [pæræstu:]
|-
|Cock
|خُروس
|Khoroos [Xoru:s]
|-
|Owl
|جُغد
|Joghd [d͡ʒoɣ-d]
|-
|Crow
|زاغ
|Zagh [zaɣ]
|-
|Peacock
|طاووس
|Tavoos [ta:vu:s]
|-
| canary
| قَناری
|Ghanary [ɣæna:ri]
|-
| sparrow
| گُنجِشک
|Gonjeshk [gond͡ʒeʃ-k]
|-
| turkey
| بوقَلَمون
|Booghalamoon [bu:ɣælæmu:n]
|-
|hen
| مُرغ
|Morgh [morɣ]
|-
| partridge
| کَبک
|Kabk [kæb-k]
|-
| crow
| کَلاغ
|Kalagh [kæla:ɣ]
|-
|quail
| بِلدِرچین
|Belderchin [bel-der-t͡ʃin]
|-
| crane
| دُرنا
|Dorna [dorna:]
|-
| goose
| غاز
|Ghaz [ɣa:z]
|-
| woodpecker
| دارکوب
|Darkoob [da:r-ku:b]
|-
| robin
| سینه سُرخ
|Sineh sorkh [sineh-sorx]
|-
|Flamingo
|فِلامینگو
|Flamingo [fla:mingo]
|}

==Videos==
Birds and other animals:
<youtube>il-SP_2vQLA</youtube>

Language/Multiple-languages/Vocabulary/Number-Theory

2021-12-02T12:16:12Z

Saeid136: added some expressions in Persian-Farsi

[[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 || علم حساب، جبر
| 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 || علم حساب، آنالیز ریاضیاتی
| аналити́ческая тео́рия чи́сел ||
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|
| ||
|}

== Arithmetic ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| abacus || mechanical calculator
| 算盘 ||
| suàn pan ||
| Abakus [m] ||
| ||
| ||
| ||
| چرتکه || ماشین حساب مکانیکی
| ||
|-
| absolute value, modulus || real number
| 绝对值 ||
| juéduì zhí ||
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert ||
| valeur [f] absolue ||
| ||
| ||
| قدر مطلق || اعداد حقیقی
| ||
|-
| addition || number (abstract idea); binary operation <mathematical logic>
| 加法 ||
| jiā fǎ ||
| Addition [f] ||
| addition [f] ||
| ||
| ||
| جمع || اعداد (مفاهیم انتضاعی) عملیات باینری (دودویی)

<منطق ریاضی>

| ||
|-
| additive inverse, opposite, negation || addition; number (abstract idea)
| 加法逆元, 相反数 ||
| jiāfǎ nìyuán, xiāngfǎn shù ||
| Gegenzahl [f] ||
| ||
| ||
| ||
| وارون افزایشی || جمع، اعداد(مفاهیم انتزاعی)
| ||
|-
| addend, summand || addition; operand <mathematical logic>
| 加数 ||
| jiā shù ||
| Summand [m] ||
| ||
| ||
| ||
| جمع وند/عامل جمع || جمع، عملوند

<منطق ریاضی>
| ||
|-
| analog computer || basic operation; logarithm; exponentiation
| 模拟计算机 ||
| mónǐ jìsuànjī ||
| Analogrechner [m] ||
| ||
| ||
| ||
| رایانه قیاسی || چهار عمل اصلی، لگاریتم، توان
| ||
|-
| augend || addition; operand <mathematical logic>
| 被加数 ||
| bèijiā shù ||
| erster Summand ||
| ||
| ||
| ||
| مولفه دوم جمع اعداد || جمع، عملوند

<منطق ریاضی>
| ||
|-
| base (exponentiation) || exponentiation
| 底数（指数）, 基数（指数） ||
| dǐ shù (zhǐ shù), jīshù (zhǐ shù) ||
| Basis [f] (Exponentiation) ||
| ||
| ||
| ||
| پایه (توان) || توان
| ||
|-
| base (logarithm) || logarithm
| 底数（对数）, 基数（对数） ||
| dǐ shù (duì shù), jīshù (duì shù) ||
| Basis [f] (Logarithmus) ||
| ||
| ||
| ||
| پایه (عدد لگاریتمی) || لگاریتم
| ||
|-
| basic operation || addition; division; multiplication; subtraction
| 四则运算 ||
| sìzé yùnsuàn ||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||
| ||
| ||
| ||
| چهار عمل اصلی || جمع، تقسیم، ضرب، منها
| ||
|-
| binary logarithm || logarithm
| 以二为底的对数 ||
| yǐ èr wéi dǐ de duìshù ||
| binärer Logarithmus, dualer Logarithmus ||
| logarithme [m] binaire ||
| ||
| ||
| لگاریتم باینری (دو دویی) ||لگاریتم
| ||
|-
| binary system || numeral system
| 二进制 ||
| èr jìnzhì ||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
| système [m] binaire ||
| ||
| ||
| سیستم باینری || سیستم عدد
| ||
|-
| chisanbop || addition; subtraction
| 指算法 ||
| zhǐsuàn fǎ ||
| Chisanbop [n] ||
| ||
| ||
| ||
| محاسبه انگشتی || جمع ،تفریق
| ||
|-
| complex number || imaginary number; real number
| 复数 ||
| fù shù ||
| komplexe Zahl ||
| nombre [m] complexe ||
| ||
| ||
| اعداد مختلط || عدد موهومی، عدد حقیقی
| ||
|-
| composite number || division; natural number
| 合数, 合成数 ||
| hé shù, héchéng shù ||
| zusammengesetzte Zahl ||
| ||
| ||
| ||
| عدد مرکب/عدد غیر اول || تقسیم، عدد طبیعی
| ||
|-
| constant || number (abstract idea)
| 常数, 定数 ||
| cháng shù, dìng shù ||
| Konstante [f], Festwert [m] ||
| constante [f] ||
| ||
| ||
| ثابت || اعداد (مفاهیم انتزاعی)
| ||
|-
| counting rods || basic operation
| 算筹, 算子 ||
| suàn chóu, suàn zǐ ||
| Zählstäbe [m pl] ||
| ||
| ||
| ||
| میله های شمارش || چهار عمل اصلی
| ||
|-
| decimal, base-ten || integer
| 十进制 ||
| shíjìn zhì ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System ||
| ||
| ||
| ||
| دسیمال/ اعداد بر پایه ده || عدد صحیح
| ||
|-
| decimal logarithm, common logarithm || logarithm
| 常用对数 ||
| chángyòng duìshù ||
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||
| ||
| ||
| ||
| لگاریم بر پایه ده ||لگاریتم
| ||
|-
| decimal representation || number (symbol)
| 小数 ||
| xiǎo shù ||
| Dezimaldarstellung [f] ||
| ||
| ||
| ||
| نمایش اعشاری/نمایش دهدهی ||اعداد (نماد)
| ||
|-
| decimal separator || decimal representation; radix character
| 小数点 ||
| xiǎoshù diǎn ||
| Dezimaltrennzeichen [n] ||
| ||
| ||
| ||
| ممیز || نمایش اعشاری،

نماد ممیز
| ||
|-
| degree || nth root
| 次方根 ||
| cìfāng gēn ||
| Wurzelgrad [m] ||
| degré [m] ||
| ||
| ||
| درجه || ریشه

امn
| ||
|-
| denominator || fraction; operand <mathematical logic>
| 分母 ||
| fēn mǔ ||
| Nenner [m] ||
| dénominateur [m] ||
| ||
| ||
| مخرج کسر || کسر، عملوند

<منطق ریاضی>
| ||
|-
| difference || subtraction
| 差 ||
| chā ||
| Differenz [f] ||
| différence [f] ||
| ||
| ||
| تفاضل || تفریق
| ||
|-
| digit || number (abstract idea); symbol
| 数字（单个符号） ||
| shù zì (dāngè fúhào) ||
| Ziffer [f] ||
| chiffre [m] ||
| ||
| ||
| رقم || ،اعداد (مفاهیم انتزاعی)

نماد
| ||
|-
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero
| 无条件简化 ||
| wútiáojiàn jiǎnhuà ||
| ||
| ||
| ||
| ||
| رُند کردن || رند بالا، رند پایین، به سمت صفر رند کردن، به سمت غیر صفر رند کردن
| ||
|-
| dividend || fraction; operand <mathematical logic>
| 被除数 ||
| bèichú shù ||
| Dividend [m] ||
| dividende [m] ||
| ||
| ||
| مقسوم || کسر، عملوند

<منطق ریاضی>
| ||
|-
| division || number (abstract idea); binary operation <mathematical logic>
| 除法 ||
| chú fǎ ||
| Division [f] ||
| division [f] ||
| ||
| ||
| تقسیم || اعداد (مفاهیم انتضاعی) عملیات باینری (دودویی)

<منطق ریاضی>

| ||
|-
| division by zero || division; zero
| 除以零 ||
| chú yǐ líng ||
| Division [f] durch Null ||
| division [f] par zéro ||
| ||
| ||
| تقسیم بر صفر || تقسیم، 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 ||
| ||
| ||
| ||
|تقسیم بر باقیمانده، تقسیم اُقلیدسی||تقسیم
| ||
|-
| divisor || division; operand <mathematical logic>
| 除数 ||
| chú shù ||
| Divisor [m] ||
| diviseur [m] ||
| ||
| ||
| مقسوم علیه
| کسر، عملوند

<منطق ریاضی>
| ||
|-
| Egyptian fraction || unit fraction
| 埃及分数 ||
| Āijí fēnshù ||
| Stammbruchzerlegung [f] ||
| ||
| ||
| ||
| کسر مصری
|کسر واحد
| ||
|-
| engineering notation || scientific notation
| 工程计数法 ||
| gōngchéng jìshù fǎ ||
| technische Notation [f] ||
| ||
| ||
| ||
| نماد مهندسی
| نماد علمی
| ||
|-
| equal sign || equality <mathmatical logic>
| 等号 ||
| děng hào ||
| Gleichheitszeichen [n], Ist-gleich-Zeichen [n] ||
| signe [m] égal ||
| ||
| ||
|علامت مساوی|| تساوی

<منطق ریاضی>
| ||
|-
| Euclid's lemma || prime number
| 欧几里得引理 ||
| Ōujīlǐdé yǐnlǐ ||
| Lemma [n] von Euklid ||
| ||
| ||
| ||
|لم اقلیدس/برهان کمکی اقلیدس||عدد اول
| ||
|-
| Euler's number, e || constant
| 自然常数, 自然底数, 欧拉数 ||
| zìrán chángshù, zìrán dǐshù, Ōulā shù ||
| Eulersche Zahl ||
| ||
| ||
| ||
|عدد اویلر
e
|ثابت
| ||
|-
| even number || natural number; division
| 偶数 ||
| ǒu shù ||
| gerade Zahl ||
| ||
| ||
| ||
|عدد زوج||عدد طبیعی، تقسیم
| ||
|-
| exponent || exponentiation
| 幂, 指数 ||
| mì, zhǐ shù ||
| Hochzahl [f], Exponent [m] ||
| exposant [m] ||
| ||
| ||
|نما، قوه، توان||توان
| ||
|-
| exponentiation || number (abstract idea); binary operation <mathematical logic>
| 幂运算, 指数运算 ||
| mì yùnsuàn, zhǐshù yùnsuàn ||
| Potenz [f] ||
| ||
| ||
| ||
|توان|| اعداد (مفاهیم انتضاعی) عملیات باینری (دودویی)

<منطق ریاضی>

| ||
|-
| finger binary || addition; subtraction; binary system
| 二进制指算法 ||
| èrjìnzhì zhǐsuànfǎ ||
| binär zählen mit Fingern [m pl] ||
| ||
| ||
| ||
|محاسبه انگشتی باینری(دودویی)||جمع، تفریق، باینری
| ||
|-
| fraction || division; integer
| 分数 ||
| fēn shù ||
| Bruch [m] ||
| fraction [f] ||
| ||
| ||
|کسر|| تقسیم، عدد صحیح
| ||
|-
| factorization, factoring || object
| 因式分解 ||
| yīnshì fēnjiě ||
| Faktorisierung [f] ||
| factorisation [f] ||
| ||
| ||
|تجزیه (به عاملها)||شی
| ||
|-
| 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
| 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] ||
| ||
| ||
| ||
| ||
| ||
|-
| 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
| 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 (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
| 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 (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] ||
| ||
| ||
| ||
| ||
| ||
|-
| 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)
| 零 ||
| líng ||
| Null [f] ||
| ||
| ||
| ||
| ||
| ||
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Algebraic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Analytic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]

== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 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 ===
{| class="wikitable sortable"
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Hrkt-JP: が↓いねん
! rus-Cyrl-RU: конце́пция
|-
| +
| 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 ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
| 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 ===
{| class="wikitable sortable"
! 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<nowiki>|</nowiki>Alpha
| https://www.wolframalpha.com/
| English, Japanese
| -
|-
|
|
|
|
|
|}

{{Sci-Tech-Index-Menu}}

Language/Iranian-persian/Vocabulary/Bird

2021-12-02T06:51:02Z

Saeid136: add pronunciation

[[File:Bird 1.jpg|thumb]]
{| class="wikitable sortable"
!'''Bird name'''
!'''In Persian'''
!'''pronunciation in Persian'''
|-
|swan
|قو
|Ghu [ɣu:]
|-
|Nightingale
|بلبل
|Bolbol [bol-bol]
|-
|Eagle
|عقاب
|Oghab [oɣa:b]
|-
|Vulture
|کرکس
|Karkas [kær-kæs]
|-
|Ostrich
|شترمرغ
|Shotor morgh [ʃotor-morɣ]
|-
|Duck
|اردک
|Ordak [ordæk]
|-
|Pigeons
|کبوتر
|Kabootar [kæbu:tær]
|-
|Swallow
|پرستو
|Parastoo [pæræstu:]
|-
|Cock
|خروس
|Khoroos [Xoru:s]
|-
|Owl
|جغد
|Joghd [d͡ʒoɣ-d]
|-
|Crow
|زاغ
|Zagh [zaɣ]
|-
|Peacock
|طاووس
|Tavoos [ta:vu:s]
|-
| canary
| قناری
|Ghanary [ɣæna:ri]
|-
| sparrow
| گنجشک
|Gonjeshk [gond͡ʒeʃ-k]
|-
| turkey
| بوقلمون
|Booghalamoon [bu:ɣælæmu:n]
|-
|hen
| مرغ
|Morgh [morɣ]
|-
| partridge
| کبک
|Kabk [kæb-k]
|-
| crow
| کلاغ
|Kalagh [kæla:ɣ]
|-
|quail
| بلدرچین
|Belderchin [bel-der-t͡ʃin]
|-
| crane
| درنا
|Dorna [dorna:]
|-
| goose
| غاز
|Ghaz [ɣa:z]
|-
| woodpecker
| دارکوب
|Darkoob [da:r-ku:b]
|-
| robin
| سینه سرخ
|Sineh sorkh [sineh-sorx]
|-
|Flamingo
|فلامینگو
|Flamingo [fla:mingo]
|}

==Videos==
Birds and other animals:
<youtube>il-SP_2vQLA</youtube>

Language/Iranian-persian/Vocabulary/Negative-feelings

2021-12-02T06:06:35Z

Saeid136:

[[File:Negative-feelings.jpg|thumb]]

{| class="wikitable sortable"
!English
!Writing in Persian
!Pronunciation in Persian
|-
|angry
|خشمگین
|Khashmgin
|-
|annoyed
|اذیت
|Aziat
|-
|aggressive
|مهاجم
|Mohajem
|-
|agonized
|رنجدیده
|Ranjide
|-
|arrogant
|متکبر
|Motekaber
|-
|awful
|ترس
|Tars
|-
|bad
|بد
|Bad
|-
|bored
|بی حوصله
|Bihosele
|-
|confused
|گیج
|Gij
|-
|crazy
|دیوانه
|Divane
|-
|disappointed
|ناامید
|Naomid
|-
|disbelieving
|کافر
|Kafer
|-
|disgusted
|منزجر
|Monzajer
|-
|enraged
|غضبناک
|Ghazabnak
|-
|exhausted
|خسته
|Khaste
|-
|frightened
|سراسیمه
|Sarasime
|-
|frustrated
|نا امید
|Naomid
|-
|grieving
|عزادار
|Azadar
|-
|guilty
|گناهکار
|Gonahkar
|-
|helpless
|درمانده
|Darmande
|-
|horrified
|وحشت زده
|Vahshat zade
|-
|hangover
|خماری
|khomar
|-
|hurt
|صدمه
|Sadame
|-
|hysterical
|هیستریک
|histerik
|-
|indifferent
|بی تفاوت
|Bi tafavot
|-
|idiotic
|ابلهانه
|Ablahane
|-
|to be jealous of sb
|حسادت نمودن به فردي
|Hesadat
|-
|lonely
|تنها
|Tanha
|-
|lovesick
|دلباخته
|Del bakhte
|-
|mad
|دیوانه
|Divaneh
|-
|mischievous
|موذی
|Moozi
|-
|miserable
|تیره روز
|badbakht
|-
|nasty
|تند و زننده
|Tond o zanande
|-
|nervous
|عصبی
|Asabi
|-
|puzzled
|خیره
|Khire
|-
|sad
|غمگین
|Ghamgin
|-
|shocked
|شوکه
|shoke
|-
|sheepish
|ترسو
|Tarsoo
|-
|silly
|احمقانه
|Ahmaghane
|-
|smug
|از خود راضی
|Az khod razi
|-
|sorry
|متاسف
|Moteasef
|-
|strange
|عجیب
|Ajib
|-
|suspicious
|مشکوک
|mashkook
|-
|stupid
|احمق
|Ahmagh
|-
|terrible
|وحشتناک
|Vahshatnak
|-
|upset
|ناراحت
|narahat
|}

Language/Iranian-persian/Vocabulary/Negative-feelings

2021-12-02T05:57:16Z

Saeid136:

[[File:Negative-feelings.jpg|thumb]]

{| class="wikitable sortable"
!English
!Writing in Persian
!Pronunciation in Persian
|-
|angry
|خشمگین
|Khashmgin
|-
|annoyed
|اذیت
|Aziat
|-
|aggressive
|مهاجم
|Mohajem
|-
|agonized
|رنجدیده
|Ranjide
|-
|arrogant
|متکبر
|Motekaber
|-
|awful
|ترس
|Tars
|-
|bad
|بد
|Bas
|-
|bored
|بی حوصله
|Bihosele
|-
|confused
|گیج
|Gij
|-
|crazy
|دیوانه
|Divane
|-
|disappointed
|ناامید
|Naomid
|-
|disbelieving
|کافر
|Kafer
|-
|disgusted
|منزجر
|Monzajer
|-
|enraged
|غضبناک
|Ghazabnak
|-
|exhausted
|خسته
|Khaste
|-
|frightened
|سراسیمه
|Sarasime
|-
|frustrated
|نا امید
|Naomid
|-
|grieving
|عزادار
|Azadar
|-
|guilty
|گناهکار
|Gonahkar
|-
|helpless
|درمانده
|Darmande
|-
|horrified
|وحشت زده
|Vahshat zade
|-
|hangover
|خماری
|khomar
|-
|hurt
|صدمه
|Sadame
|-
|hysterical
|هیستریک
|histerik
|-
|indifferent
|بی تفاوت
|Bi tafavot
|-
|idiotic
|ابلهانه
|Ablahane
|-
|to be jealous of sb
|حسادت نمودن به فردي
|Hesadat
|-
|lonely
|تنها
|Tanha
|-
|lovesick
|دلباخته
|Del bakhte
|-
|mad
|دیوانه
|Divaneh
|-
|mischievous
|موذی
|Moozi
|-
|miserable
|تیره روز
|badbakht
|-
|nasty
|تند و زننده
|Tond o zanande
|-
|nervous
|عصبی
|Asabi
|-
|puzzled
|خیره
|Khire
|-
|sad
|غمگین
|Ghamgin
|-
|shocked
|شوکه
|shoke
|-
|sheepish
|ترسو
|Tarsoo
|-
|silly
|احمقانه
|Ahmaghane
|-
|smug
|از خود راضی
|Az khod razi
|-
|sorry
|متاسف
|Moteasef
|-
|strange
|عجیب
|Ajib
|-
|suspicious
|مشکوک
|mashkook
|-
|stupid
|احمق
|Ahmagh
|-
|terrible
|وحشتناک
|Vahshatnak
|-
|upset
|ناراحت
|narahat
|}

Language/Multiple-languages/Vocabulary/Number-Theory

2021-12-01T07:43:46Z

Saeid136:

[[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↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
!'''Iranian-Persian فارسی ایرانی'''
|-
| number theory ||
| 数论 ||
| shù lùn ||
| Zahlentheorie [f] ||
| théorie [f] des nombres ||
| 数論 ||
| す↑うろん ||
| тео́рия чи́сел ||
|نظریه اعداد
|-
| arithmetic ||
| 算术 ||
| suàn shù ||
| Arithmetik [f] ||
| arithmétique [f] ||
| 算数 ||
| さ↑んす↓う ||
| арифме́тика ||
|علم حساب
|-
| 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 ||
|نظریه جبری اعداد
|-
| 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 ||
|نظریه تحلیل اعداد
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|
|}

== Arithmetic ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
!'''Iranian-Persian فارسی ایرانی'''
|-
| 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 ||
| zhǐ suànfǎ ||
| 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
| 差 ||
| 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
| 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] ||
| ||
| ||
| ||
| ||
|
|-
| 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
| 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 (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
| 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 (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] ||
| ||
| ||
| ||
| ||
|
|-
| 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)
| 零 ||
| líng ||
| Null [f] ||
| ||
| ||
| ||
| ||
|
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|
|}

== Algebraic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Analytic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]

== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 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 ===
{| class="wikitable sortable"
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Hrkt-JP: が↓いねん
! rus-Cyrl-RU: конце́пция
|-
| +
| 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 ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
| 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 ===
{| class="wikitable sortable"
! 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<nowiki>|</nowiki>Alpha
| https://www.wolframalpha.com/
| English, Japanese
| -
|-
|
|
|
|
|
|}

{{Sci-Tech-Index-Menu}}

Language/Multiple-languages/Vocabulary/Number-Theory

2021-12-01T06:53:00Z

Saeid136: I add some of Persian translation of mathematical terms on it.

[[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↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
!'''Iranian-Persian فارسی ایرانی'''
|-
| number theory ||
| 数论 ||
| shù lùn ||
| Zahlentheorie [f] ||
| théorie [f] des nombres ||
| 数論 ||
| す↑うろん ||
| тео́рия чи́сел ||
|نظریه اعداد
|-
| arithmetic ||
| 算术 ||
| suàn shù ||
| Arithmetik [f] ||
| arithmétique [f] ||
| 算数 ||
| さ↑んす↓う ||
| арифме́тика ||
|علم حساب
|-
| 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 ||
|نظریه جبری اعداد
|-
| 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 ||
|نظریه تحلیل اعداد
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|
|}

== Arithmetic ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 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 (abstract idea); binary operation <mathematical logic>
| 加法 ||
| jiā fǎ ||
| Addition [f] ||
| addition [f] ||
| ||
| ||
| ||
|-
| additive inverse, opposite, negation || addition; number (abstract idea)
| 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] ||
| ||
| ||
| ||
| ||
|-
| 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 (abstract idea)
| 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 (symbol)
| 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 || number (abstract idea); symbol
| 数字（单个符号） ||
| shù zì (dāngè fúhào) ||
| Ziffer [f] ||
| chiffre [m] ||
| ||
| ||
| ||
|-
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero
| 无条件简化 ||
| wútiáojiàn jiǎnhuà ||
| ||
| ||
| ||
| ||
| ||
|-
| dividend || fraction; operand <mathematical logic>
| 被除数 ||
| bèichú shù ||
| Dividend [m] ||
| dividende [m] ||
| ||
| ||
| ||
|-
| division || number (abstract idea); 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] ||
| ||
| ||
| ||
|-
| 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
| 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] ||
| ||
| ||
| ||
| ||
|-
| 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
| 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 (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
| 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 (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] ||
| ||
| ||
| ||
| ||
|-
| 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)
| 零 ||
| líng ||
| Null [f] ||
| ||
| ||
| ||
| ||
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Algebraic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

== Analytic Number Theory ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| ||
| ||
| ||
| ||
| ||
| ||
| ||
| ||
|}

[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]

== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 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 ===
{| class="wikitable sortable"
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Hrkt-JP: が↓いねん
! rus-Cyrl-RU: конце́пция
|-
| +
| 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 ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
| 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 ===
{| class="wikitable sortable"
! 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<nowiki>|</nowiki>Alpha
| https://www.wolframalpha.com/
| English, Japanese
| -
|-
|
|
|
|
|
|}

{{Sci-Tech-Index-Menu}}