Language/Multiple-languages/Vocabulary/Number-Theory

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eng-Latn-US: concept	eng-Latn-US: prerequisite	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	pes-Aran-IR: مَفهوم	rus-Cyrl-RU: конце́пция

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

Main

Arithmetic

eng-Latn-US: concept	eng-Latn-US: prerequisite	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	pes-Aran-IR: مَفهوم	rus-Cyrl-RU: конце́пция

absolute value, modulus	real number	绝对值，模	juéduì zhí, mó	Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert	valeur absolue, module [m]	絶対値，母数	ぜ↑った↓いち，ぼ↑す↓う	قَدرِ مُطلَق	абсолю́тная величина́, мо́дуль [м]
additive inverse, opposite, negation	addition; number (abstract idea)	加法逆元，相反数	jiāfǎ nìyuán, xiāngfǎn shù	Gegenzahl [f]	opposé [m]	反数	は↓んすう	وارون اَفزایِِشی	противополо́жное число́
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، لُگاریتم دو دویی
chisanbop	addition; subtraction	指算法	zhǐsuàn fǎ	Chisanbop [n]		指算法	ゆ↑びさ↓んぽう	مُحاسِبه اَنگُشتی
common difference	arithmetic progression; difference <number theory>	公差	gōng chā			公差	こ↓うさ
common ratio	geometic progression; ratio <number theory>	公比	gōng bǐ			公比	こ↓うひ
complex conjugate	complex number	共轭复数	gòng'è fùshù	komplexe Konjugation	conjugué [m]	複素共役	ふ↑くそきょ↓うやく		сопряжённые чи́сла
constant	number (abstract idea)	常数，定数	cháng shù, dìng shù	Konstante [f], Festwert [m]	constante [f]	定数，常数	て↑いす↓う，じょ↑うす↓う	ثابِت	постоя́нная, конста́нта
continued fraction	integer part; multiplicative inverse	连分数，繁分数	lián fēnshù, fán fēnshù	Kettenbruch [m]	fraction [f] continue	連分数	れ↑んぶ↓んすう		непреры́вная дробь [ж], цепна́я дробь [ж]
coprime numbers, relatively prime numbers, mutually prime numbers	prime number; divisor	互质数	hùzhì shù	teilerfremde Zahlen [f pl]	nombres [m pl] premiers entre eux	互いに素	た↑がいに↓そ		взаи́мно просты́е чи́сла
counting rods	basic operation	算筹，算子	suàn chóu, suàn zǐ	Zählstäbe [m pl]	baguettes [f pl] à calculer	算木，算籌	さ↓んぎ，さん↓ちゅう	میله های شُمارِش	счётные па́лочки
Cuisenaire rods	basic operations	古氏积木	Gǔshì jīmù	Cuisenaire-Stäbchen [n pl]	réglettes [f pl] Cuisenaire
decimal fraction	decimal representation	小数	xiǎo shù	Dezimalbruch [m], Zehnerbruch [m]	fraction décimale	小数	しょ↑うす↓う		десяти́чная дробь [ж]	decimal logarithm, common logarithm	logarithm	常用对数	chángyòng duìshù	dekadischer Logarithmus, Zehnerlogarithmus [m]	لُگاریتم بَر پایه دَه
decimal representation	number (symbol)	小数表示法	xiǎoshù biǎoshì fǎ	Dezimaldarstellung [f]	développement décimal	小数表記法	しょ↑うすうひょ↓うきほう	نَمایِِش اَعشاری، نَمایش دَهدَهی	десяти́чное представле́ние
decimal separator	decimal representation; radix character	小数点	xiǎoshù diǎn	Dezimaltrennzeichen [n]	séparateur décimal	小数点	しょ↑うす↓うてん	مُمَیِِز	десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я
digit	number (abstract idea); symbol	数字（单个符号）	shù zì (dāngè fúhào)	Ziffer [f]	chiffre [m]	数字（個々の符号）	す↑うじ（こ↓このふ↑ごう）	رَقَم	ци́фра
direct proportionality	proportionality	正比例	zhèng bǐlì	direkte Proprotionalität	proportionnalité directe	正比例	せ↑いひ↓れい		пряма́я пропорциона́льность [ж]
Diophantine approximation	real number	丢番图逼近	Diūfāntú bījìn	diophantische Approximation	approximation diophantienne	ディオファントス近似	ディ↑オファントスき↓んじ		диофа́нтово приближе́ние
division by zero	division; zero	除以零	chú yǐ líng	Division [f] durch Null	division [f] par zéro			تَقسیم بَر صِفر
Egyptian fraction	unit fraction	埃及分数	Āijí fēnshù	Stammbruchzerlegung [f]	fraction égyptienne	エジプト式分数，エジプト分数	エ↑ジプトしきぶ↓んすう，エ↑ジプトぶ↓んすう	کَسر مِصری	еги́петская дробь
engineering notation	scientific notation	工程计数法	gōngchéng jìshù fǎ	technische Notation	notation [f] ingénieur			نَماد مُهَندِسی	инжене́рная нота́ция
Euclid's lemma	prime number	欧几里得引理	Ōujīlǐdé yǐnlǐ	Lemma [n] von Euklid	lemme [m] d'Euclide	ユークリッドの補題	ユ↑ークリ↓ッドのほ↑だい	لِم اُقلیدُس، بُرهانِ کُمَکی اُقلیدُس	ле́мма Евкли́да
Euler's number, e	constant	自然常数，自然底数，欧拉常数	zìrán chángshù, zìrán dǐshù, Ōulā chángshù	eulersche Zahl	nombre [m] d'Euler, constante [f] de Néper, nombre [m] e	ネイピア数，オイラー数	ネ↑イピア↓すう，オ↑イラ↓ーすう	عَدَد اویلِر	число́ Э́йлера, число́ e
even number	natural number; division	偶数	ǒu shù	gerade Zahl	nombre pair	偶数	ぐ↑うす↓う	عَدَد زوج	чётное число́
extreme	proportion	外项	wài xiàng
finger binary	addition; subtraction; binary system	二进制指算法	èrjìnzhì zhǐsuànfǎ	binär zählen mit Fingern [m pl]		二進指数え法	に↑しんゆびかぞえほ↓う	مُحاسِبه اَنگُشتی باینِری، مُحاسِبه اَنگُشتی دودویی
factorization, factoring	mathematical object <mathematical logic>	因式分解	yīnshì fēnjiě	Faktorisierung [f]	factorisation [f]			فاکتورسازی
finite continued fraction, terminated continued fraction	continued fraction; infinity	有限连分数	yǒuxiàn liánfēnshù	endlicher Kettenbruch	fraction continue finie	有限連分数	ゆ↑うげんれんぶ↓んすう		коне́чная цепна́я дробь [ж]
golden ratio	ratio; addition; root extraction	黄金比例，黄金分割率，黄金分割比	huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ	Goldener Schnitt	nombre [m] d'or [m], section dorée, proportion dorée	黄金比	お↑うご↓んひ		золото́е сече́ние, золота́я пропо́рция
greatest common divisor, highest common divisor, greatest common factor	integer; division	最大公因数，最大公约数	zuìdà gōngyīnshù, zuìdà gōngyuēshù	größter gemeinsamer Teiler	plus grand commun diviseur	最大公約数	さ↑いだいこうやく↓すう		наибо́льшим о́бщим дели́телем
imaginary unit, unit imaginary number	imaginary number	虚数单位	xūshù dānwèi	imaginäre Einheit	unité imaginaire	虚数単位	きょ↑すうた↓んい		мни́мая едини́ца
improper fraction	fraction	假分数	jiǎ fēnshù	unechter Bruch, uneigentlicher Bruch	fraction impropre	仮分数	か↑ぶ↓んすう		непра́вильные дро́би
infinite continued fraction	continued fraction; infinity	无限连分数	wúxiàn liánfēnshù	unendlicher Kettenbruch	fraction continue infinie	無限連分数	む↑げんれんぶ↓んすう		бесконе́чная цепна́я дробь [ж]
infinity	number (abstract idea)	无穷	wú qióng	Unendlichkeit [f]	infini [m]	無限	む↑げん		бесконе́чность
inverse function, anti-function	function <mathematical logic>; inverse mapping	反函数	fǎn hánshù	Umkehrfunktion [f], inverse Funktion	fonction [f] réciproque		逆函数	ぎゃ↑くか↓んすう	обра́тная фу́нкция
inverse mapping	mapping	逆映射	nì yìngshè	inverse Abbildung, Umkehrabbildung [f]	bijection [f] réciproque	逆写像	ぎゃ↑くしゃ↓ぞう		обра́тное отображе́ние
inverse proportionality	proportionality	反比例	fǎn bǐlì	umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität	proportionnalité inverse	反比例	は↑んぴれい		обра́тная пропорциона́льность
irreducible fraction, fraction in lowest terms, simplest form, reduced fraction	fraction; coprime integer	最简分数，既约分数	zuìjiǎn fēnshù, jìyuē fēnshù	gekürzter Bruch	fraction [f] irréductible	既約分数	き↑やくぶ↓んすう		несократи́мая дробь
least common denominator, lowest common denominator	least common multiple	最小公分母	zuìxiǎo gōngfēnmǔ	Hauptnenner [m]	plus petit dénominateur commun	最小公分母	さ↑いしょうこうぶ↓んぼ		наиме́ньший о́бщий знамена́тель
least common multiple, lowest common multiple, smallest common multiple	integer; division; denominator	最小公倍数	zuìxiǎo gōngbèishù	kleinstes gemeinsames Vielfaches	plus petit commun multiple, plus petit multiple commun	最小公倍数	さ↑いしょうこうば↓いすう		наиме́ньшее о́бщее кра́тное
long division	division	长除法	cháng chúfǎ	Standardmethode [f] der schriftlichen Division [f]	division posée	長除法	ちょ↑うじょほう		деле́ние сто́лбиком
mean	proportion	内项	nèi xiàng
mixed number	fraction	带分数	dài fēnshù	gemischte Zahl
modular arithmetic	integer	模算术	mó suànshù	Modulararithmetik [f]
multiplication table	multiplication	乘法表	chéngfǎ biǎo	Einmaleins [n]
multiplicative inverse, reciprocal	multiplication; reciprocation	乘法逆元，倒数	chéngfǎ nìyuán, dào shù	Kehrwert [m]
Napier's rods, Napier's bones	lattice multiplication	纳皮尔筹	Nàpí'ěr chóu	Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen						natural logarithm	Euler's number; logarithm	自然对数	zìrán duìshù	natürlicher Logarithmus
negative number	number (abstract idea)	负数	fù shù	negative Zahl
notation	numeral; symbol	记法，表示法	jì fǎ, biǎoshì fǎ	Notation [f]
non-negative number	negative number	非负数	fēifù shù	nichtnegative Zahl
non-positive number	positive number	非正数	fēizhèng shù	nichtpositive Zahl
number (abstract idea)	mathematical object <mathematical logic>	数	shù	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]
odd number	natural number; division	奇数	jī shù	ungerade Zahl	nombre impair	奇数	き↑す↓う		нечётное число́
operator precedence, order of operation <mathematical logic>	basic operation; exponentiation; root extraction	运算次序，运算顺序	yùnsuàn cìxù, yùnsuàn shùnxù	Operatorpräzedenz [f], Operatorrangfolge [f]
order of magnitude	logarithm
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 [n], Yang-Hui-Dreieck [n], Tartaglia-Dreieck [n]
percentage	fraction	百分数	bǎifēn shù	Prozentsatz [m]
positional notation, place-value notation, positional numeral system	numeral system	进位制，进位计数法，位值计数法	jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ	Stellenschreibweise [f]
positive number	number (abstract idea)	正数	zhèng shù	positive Zahl
proper fraction	fraction	真分数	zhēn fēnshù	echter Bruch, eigentlicher Bruch	fraction propre		真分数	し↑んぶ↓んすう	пра́вильная дробь
proportion	constant; sequence; ratio
proportionality	proportion
radix, base	positional notation	底数（进制）	dǐ shù (jìn zhì)	Basis [f] (Zahlensystem)
radix character	radix	小数点	xiǎoshù diǎn	Radixpunkt [m]
ratio	number (abstract idea)	比率，比值	bǐ lǜ, bǐ zhí	Verhältnis [n]
reciprocal function	function; multiplicative inverse	互反函数	hùfǎn hánshù	Reziprokfunktion [f], reziproke Funktion
repeating decimal, recurring decimal		循环小数	xúnhuán xiǎoshù	periodische Dezimalzahlen [f pl]
parentheses	operator precedence	圆括号，括弧号	yuán kuòhào, kuòhú hào	runde Klammern [f pl]
significand	scientific notation
silver ratio, silver mean	ratio; addition; root extraction
simple fraction, common fraction, vulgar fraction	fraction	简分数	jiǎn fēnshù	gemeiner Bruch, gewöhnlicher Bruch
scientific notation	significant figures; multiplication; exponentiation	科学计数法	kēxué jìshù fǎ	wissenschaftliche Notation
significant figures, significant digits	rounding	有效数字，有效数位	yǒuxiào shùzì, yǒuxiào shùwèi	signifikante Stellen [f pl], signifikante Ziffern [f pl]
square number, perfect square	integer; square <algebra>
tally marks, hash marks	unary system; addition	计数符号	jìshù fúhào	Strichliste [f]
Trachtenberg system	multiplication	特拉亨伯格速算系統	Tèlāhēngbégé sùsuàn xìtǒng	Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f]
unit fraction	fraction	单位分数	dānwèi fēnshù	Stammbruch [m]
unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic	prime number	正整数的唯一分解定理，算术基本定理	zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ	Fundamentalsatz [m] der Arithmetik [f]
zero	number (abstract idea)	零	líng	Null [f]
zero to the power of zero	zero; exponentiation

analog computer
eng-Latn-US: concept	eng-Latn-US: prerequisite	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	pes-Aran-IR: مَفهوم	rus-Cyrl-RU: конце́пция
analog computer	basic operation; logarithm; exponentiation	模拟计算机	mónǐ jìsuànjī	Analogrechner [m]				رایانه قیاسی

abacus	mechanical calculator	算盘	suàn pan	Abakus [m]				چُرتکه
mechanical calculator, calculating machine	basic operation	机械计算器	jīxiè jìsuànqì	Rechenmaschine [f]	calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique	機械式計算機	き↓かいしきけ↑いさ↓んき		вычисли́тельная маши́на, счётная маши́на
Pascal's calculator, arithmetic machine, Pascaline	machine calculator	滚轮式加法器，帕斯卡计算器	gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì	Pascaline [f]	pascaline [f], machine [f] d’arithmétique, roue [f] pascaline	パスカリン	パ↑スカ↓リン		суммирующая машина Паска́ля, Паскали́на
nomogram, nomograph	analog computer	列线图，诺谟图	lièxiàn tú, nuòmò tú	Nomogramm [n], Nomographie [f]
slide rule	analog computer	计算尺	jìsuàn chǐ	Rechenschieber [m], Rechenstab [m]

arithmetic operation
eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]	pes-Aran-IR: مَفهوم
arithmetic operation	binary operation

addition	number (abstract idea); binary operation <mathematical logic>	加法	jiā fǎ	Addition [f]	addition [f]	جَمع
division	number (abstract idea); binary operation <mathematical logic>	除法	chú fǎ	Division [f]	division [f]	تَقسیم
exponentiation	number (abstract idea); binary operation <mathematical logic>	幂运算，指数运算	mì yùnsuàn, zhǐshù yùnsuàn	Potenz [f]		تَوان
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
logarithm (operation)	number (abstract idea); binary operation <mathematical logic>	对数	duì shù	Logarithmus [m]	logarithme [m]
multiplication	number (abstract idea); binary operation <mathematical logic>	乘法	chéng fǎ	Multiplikation [f]
nth root	binary operation <mathematical logic>	次方根	cìfāng gēn	Wurzel [f] , Radikal [n]
root extraction	nth root	开方	kāi fāng	Radizieren [n]
subtraction	number (abstract idea); binary operation <mathematical logic>	减法	jiǎn fǎ	Subtraktion [f], Abziehen [n], Abzug [m]

multiplication algorithm
eng-Latn-US: concept	eng-Latn-US: prerequisite	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
multiplication algorithm

lattice multiplication	multiplication	格子乘法，铺地锦算法	gézi suànfǎ, pūdìjǐn suànfǎ	Gittermethode [f]	multiplication [f] par jalousies [f pl]	格子掛け算	こ↑うしかけ↓ざん	решёточное умноже́ние
long multiplication	multiplication	长乘法	cháng chéngfǎ	Standardmethode [f] der schriftlichen Multiplikation [f]
peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication	multiplication	农夫算法	nóngfū suànfǎ	russische Bauernmultiplikation

number system
eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]	pes-Aran-IR: مَفهوم
number system

algebraic number	complex number; root <algebra>
complex number	imaginary number; real number	复数	fù shù	komplexe Zahl	nombre [m] complexe	اَعدادِ مُختَلِط
composite number	division; natural number	合数，合成数	hé shù, héchéng shù	zusammengesetzte Zahl		عَدَد مُرَکَب، عَدَد غِیر اَول
fraction	division; integer	分数	fēn shù	Bruch [m]	fraction [f]	کَسر
imaginary number	negative number; exponentiation	虚数	xū shù	imaginäre Zahl	nombre [m] imaginaire
integer	natural number; negative number	整数	zhěng shù	Ganzzahl [f], ganze Zahl	entier
irrational number	rational number; real number	无理数	wúlǐ shù	irrationale Zahl
natural number, counting number	number (abstract idea)	自然数	zìrán shù	natürliche Zahl
prime number, prime	product; natural number	质数，素数	zhì shù, sù shù	Primzahl [f]
rational number	fraction; integer	有理数	yǒulǐ shù	rationale Zahl
real number	rational number	实数	shí shù	reelle Zahl
transcendental number	algebraic number

numeral system
eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]	pes-Aran-IR: مَفهوم
numeral system	notation	数制，记数系统，记数法	shù zhì, jìshù xìtǒng, jìshù fǎ	Zahlensystem [n]

binary system	numeral system	二进制	èr jìnzhì	Dualsystem [n], Zweiersystem [n], Binärsystem [n]	système [m] binaire	سیستِم باینِری
decimal, base-ten	integer	十进制	shíjìn zhì	Dezimalsystem [n], Zehnersystem [n], dekadisches System		دِسیمال، اَعداد بَر پایه دَه
hexadecimal, base 16, hex	numeral system	十六进制	shíliù jìnzhì	Hexadezimalsystem [n], Sedezimalsystem [n]
octal, oct	numeral system	八进制	bā jìnzhì	Oktalsystem [n]
unary system	numeral system	一进制	yī jìnzhì	Unärsystem [n]

arithmetic operand
eng-Latn-US: concept	eng-Latn-US: prerequisite	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	pes-Aran-IR: مَفهوم	rus-Cyrl-RU: конце́пция
arithmetic operand		算术运算数，算术运算元	suànshù yùnsuànshù, suànshù yùnsuànyuán	arithmetischer Operand	opérandeopérande arithmétique arithmétiquex	算術演算子	さ↑んじゅつえんざ↓んし		арифмети́ческий опера́нд

addend, summand	addition; operand <mathematical logic>	加数	jiā shù	Summand [m]	cumulateur [m]	加数	か↑す↓う	جَمع وند، عامل جَمع	слага́емое
antilogarithm
augend, summand	addition; operand <mathematical logic>	被加数	bèijiā shù	erster Summand		被加数	ひ↑か↓すう	مُوَلِفه دُوم جَمع اَعداد	пе́рвое слага́емое
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)
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]	分母	ぶ↓んぼ	مَخرَج کَسر	знамена́тель [м]
difference	subtraction	差	chā	Differenz [f]	différence [f]			تَفاضُل
dividend	fraction; operand <mathematical logic>	被除数	bèichú shù	Dividend [m]	dividende [m]			مَقسوم
divisor	division; operand <mathematical logic>	除数	chú shù	Divisor [m]	diviseur [m]			مَقسوم عَلیه
exponent	exponentiation	幂，指数	mì, zhǐ shù	Hochzahl [f], Exponent [m]	exposant [m]			نَما، قُوه، تَوان
logarithm (operand)
minuend	subtraction	被减数	bèijiǎn shù	Minuend [m]
multiplicand, factor	multiplication; operand <mathematical logic>	被乘数	bèichéng shù	Multiplikand [m]
multiplier, factor	multiplication; operand <mathematical logic>	乘数	chéng shù	Multiplikator [m]
numerator	fraction; operand <mathematical logic>	分子	fēn zǐ	Zähler [m]
power
product	multiplication	积	jī	Produkt [n]
quotient	division	商	shāng	Quotient [f]
radicant
remainder	division with remainder	余数	yú shù	Rest [m], Teilungsrest [m]
root	nth root	根	gēn	Wurzel [f]
subtrahend	subtraction	减数	jiǎn shù	Subtrahend [m]
sum	addition	和	hé	Summe [f]

rounding
eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	pes-Aran-IR: مَفهوم
rounding	decimal representation	数值修约	shùzhí xiūyuē	Rundung [f], Runden [n]

direct rounding	rounding up; rounding down; rounding towards zero; rounding away from zero	无条件简化	wútiáojiàn jiǎnhuà		رُند کَردن
rounding away from zero, rounding towards infinity	rounding	向无穷取整	xiàng wúqióng qǔzhěng	Wegrunden [n] von Null
rounding down, rounding towards negative infinity	rounding	向下取整	xiàng xià qǔzhěng	Abrunden [n]
rounding towards zero, rounding away from infinity	rounding	向零取整	xiàng líng qǔzhěng	Runden [n] gegen Null
rounding up, rounding towards positive infinity	rounding	向上取整	xiàng shàng qǔzhěng	Aufrunden [n]

sequence
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
sequence	object <mathematical logic>

arithmetic progression, arithmetic sequence	sequence
geometric progression. geometric sequence	sequence

symbol
eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]
symbol		符号	fúhào	Symbol [n]

minus sign	subtraction; negative number	减号	jiǎn hào	Minuszeichen [n]
percent sign	percentage	百分号	bǎifēn hào	Prozentzeichen [n]
plus sign	addition; positive number	加号	jiā hào	Pluszeichen [n]

theorem about prime numbers
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
theorem about prime numbers

Bertrand's postulate	prime number

Algebraic Number Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が↓いねん	jpn-Hrkt-JP: ぜ↑んてい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Analytic Number Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が↓いねん	jpn-Hrkt-JP: ぜ↑んてい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

prime-counting function	prime number; function <mathematical logic>

theorems in analytic number theory
eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が↓いねん	jpn-Hrkt-JP: ぜ↑んてい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
theorems in analytic number theory

prime number theorem	prime number; asymptotic analysis

Appendix

Sentence

Arithmetic

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]

A is greater than B.	inequality <mathematical logic>	甲大于乙。	Jiǎ dà yú Yǐ.	A ist größer als B.	A est supérieur à B.
A is greater than or equal to B.	inequality <mathematical logic>	甲大于等于乙。	Jiǎ dàyú děngyú Yǐ.	A ist größer als oder gleich B.	A est supérieur ou égal à B.
A is less than B.	inequality <mathematical logic>	甲小于乙。	Jiǎ xiǎo yú Yǐ.	A ist kleiner als B.	A est inférieur à B.
A is less than or equal to B.	inequality <mathematical logic>	甲小于等于乙。	Jiǎ xiǎoyú děngyú Yǐ.	A ist kleiner als oder gleich B.	A est inférieur ou égal à B.
A is much greater than B.	inequality <mathematical logic>	甲远大于乙。	Jiǎ yuǎn dàyú Yǐ.	A ist viel größer als B.	A est beaucoup plus grand que B.
A is much less than B.	inequality <mathematical logic>	甲远小于乙。	Jiǎ yuǎn xiǎoyú Yǐ.	A ist viel weniger als B.	A est beaucoup plus petit que B.

Symbol

Arithmetic

symbol	eng-Latn-US: concept	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]	jpn-Jpan-JP: 概念	jpn-Hrkt-JP: が↓いねん	rus-Cyrl-RU: конце́пция

+	addition; positive number
-	subtraction; negative number
×	multiplication
÷	division
%	percent
√	root
<	less than
>	greater than
≤	less than or equal to
≥	greater than or equal to
≡	congruent modulo
∞	infinity
E, e	E notation
e	Euler's number
lg	decimal logarithm
log	logarithm
ln	natural logarithm

Process

Arithmetic

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