Language/Multiple-languages/Vocabulary/Number-Theory

This is a part of the Sci-Tech Index, a project for science and technology learners.

You can see the titles are a bit of weird, because they are going to be read by machine and made use of by other means.

“Prerequisites” are to be generated through programs, so they are kept empty for non-English languages.

In progress.

_eng-Latn-US_concept_	_eng-Latn-US_prerequisite_	_cmn-Hans-CN_概念_	_cmn-Hans-CN_前提_	_cmn-Latn/Pinyin-CN_gàiniàn_	_cmn-Latn/Pinyin-CN_qiántí_	_deu-Latn-DE_Begriff_	_deu-Latn-DE_Voraussetzung_
arithmetic		算术		suàn shù		Arithmetik [f]
absolute value, modulus (real number)	real number	绝对值		juéduì zhí		Absolutbetrag [m], absoluter Betrag [m], Absolutwert [m], absoluter Wert [m]
addition	number, binary operation	加法		jiā fǎ		Addition [f]
additive inverse, opposite, negation	addition, number	加法逆元, 相反数		jiāfǎ nìyuán, xiāngfǎn shù		additive Inverse
addend, summand	addition, operand	加数		jiā shù		Summand [m]
anticommutative property, anticommutativity	operation (mathematics)	反交换律		fǎnjiāohuàn lǜ		Antikommutativgesetz [n], Antikommutativität [f]
associative property, associativity	operation (mathematics)	结合律		jiéhé lǜ		Assoziativgesetz [n], Assoziativität [f]
augend	addition, operand	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 (Exponentiation) [f]
base (logarithm)	logarithm	底数（对数）, 基数（对数）		dǐ shù (duì shù), jīshù (duì shù)		Basis (Logarithmus) [f]
basic operations	addition, division, multiplication, subtraction	四则运算		sìzé yùnsuàn		Grundrechnungsarte [f,pl]; Grundrechenarte [f,pl]
binary logarithm	logarithm	以 2 为底的对数		yǐ èr wéi dǐ de duìshù		binärer Logarithmus, dualer Logarithmus
binary number, base-2 numeral system, binary numeral system	numeral system	二进制		èr jìnzhì		Dualsystem [n], Zweiersystem [n], Binärsystem [n]
binary operation, dyadic operation	operation (mathematics)	二元运算		èryuán yùnsuàn		zweistellige Verknüpfung, binäre Verknüpfung
binary relation	relation (mathematics)	二元关系		èryuán guānxi		binäre Relation
complex number	imaginary number, real number	复数		fù shù		komplexe Zahl
composite number	division, natural number	合数, 合成数		hé shù, héchéng shù		zusammengesetzte Zahl
constant (mathematics)	number	常数, 定数		cháng shù, dìng shù		Konstante [f], Festwert [m]
decimal, base-ten	integer	十进制		shíjìn zhì		Dezimalsystem [n], Zehnersystem [n], dekadisches System
decimal logarithm, common logarithm	logarithm	常用对数		chángyòng duìshù		dekadischer Logarithmus, Zehnerlogarithmus [m]
decimal representation	number	小数		xiǎo shù
decimal separator	decimal representation, radix character	小数点		xiǎoshù diǎn		Dezimaltrennzeichen [n]
degree (root)	nth root	次方根		cìfāng gēn
denominator	fraction, operand	分母		fēn mǔ
dependent variable	fraction, operand	因变量		yīn biànliàng		abhängige Variable
difference	subtraction	差		chā
digit		数字		shù zì
distributive property, distributivity	operation (mathematics)	分配律		fēnpèi lǜ		Distributivgesetz [n], Distributivität [f]
dividend	fraction, operand	被除数		bèichú shù
division	number, binary operation	除法		chú fǎ
division by zero	division	除以零		chú yǐ líng
division with remainder, Euclidean division	division	带余除法, 欧几里德除法		dàiyú chúfǎ, Ōujīlǐdé chúfǎ
divisor	division, operand	除数		chú shù
commutative property, commutativity	operation (mathematics)	交换律		jiāohuàn lǜ		Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f]
Egyptian fraction	unit fraction	埃及分数		Āijí fēnshù		Stammbruchzerlegung [f]
equal sign	equation	等号		děng hào		Gleichheitszeichen [n], Ist-gleich-Zeichen [n]
equality		相等		xiāng děng		Gleichheit (Mathematik) [f]
equation	equality, expression (mathematics)	方程, 等式		fāngchéng, děng shì		Gleichung [f]
Euclid's lemma	prime number	欧几里得引理		Ōujīlǐdé yǐnlǐ		Lemma von Euklid
e (constant), Euler's number	constant (mathematics)	自然常数, 自然底数, 欧拉数		zìrán chángshù, zìrán dǐshù, Ōulā shù		Eulersche Zahl
exponent	exponentiation	幂, 指数		mì, zhǐ shù		Hochzahl [f], Exponent [m]
exponentiation	number, binary operation	幂运算, 指数运算		mì yùnsuàn, zhǐshù yùnsuàn		Potenz (Mathematik) [f]
expression (mathematics)	symbol (mathematics)	表达式, 表示式, 运算式		biǎodá shì, biǎoshì shì, yùnsuàn shì
fraction	division, integer	分数		fēn shù
factorization, factoring	object (mathematics)	因式分解		yīnshì fēnjiě
function (mathematics)	binary relation, set (mathematics) <set theory>	函数		hán shù
hexadecimal, base 16, hex	numeral system	十六进制		shíliù jìnzhì
imaginary unit, unit imaginary number	imaginary number	虚数单位		xūshù dānwèi
imaginary number	negative number, exponentiation	虚数		xūshù
imaginary axis	imaginary line (mathematics)	虚轴		xū zhóu
imaginary line (mathematics)	line <geometry>, point <geometry>, imaginary number	虚数线		xūshù xiàn
improper fraction	fraction	假分数		jiǎ fēnshù
independent variable, argument of a function	function (mathematics)	自变量		zì biànliàng		unabhängige Variable
inequal sign	Inequality (mathematics)	不等号		bùděng hào
inequation	Inequality (mathematics)	不等式		bùděng shì
Inequality (mathematics)		不等		bù děng
integer	natural number, negative number	整数		zhěng shù
inverse function, anti-function	function (mathematics)	反函数		fǎn hánshù
irrational number	rational number, real number	无理数		wúlǐ shù
logarithm	number, binary operation	对数		duì shù
minuend	subtraction	被减数		bèijiǎn shù
minus sign	subtraction, negative number	减号		jiǎn hào
mixed number	fraction	带分数		dài fēnshù
modular arithmetic	integer	模算术		mó suànshù
multiplicand	multiplication, operand	被乘数		bèichéng shù
multiplier	multiplication, operand	乘数		chéng shù
multiplication	number, binary operation	乘法		chéng fǎ
multiplicative inverse, reciprocal	multiplication, reciprocation	乘法逆元, 倒数		chéngfǎ nìyuán, dào shù
natural logarithm	e (constant), logarithm	自然对数		zìrán duìshù
natural number, counting number	number	自然数		zìrán shù
negative number	number	负数		fù shù
notation (mathematics)	numeral, symbol (mathematics)	符号（数学）		fúhào (shùxué)
non-negative number	negative number	非负数		fēifù shù
non-positive number	positive number	非正数		fēizhèng shù
nth root	binary operation	次方根		cìfāng gēn
numeral	digit, symbol (mathematics)	数字		shù zì
number	numeral, object (mathematics)	数字		shù zì
number line	line <geometry>	数轴, 数线		shù zhóu, shù xiàn
numeral system	notation (mathematics)	数制, 记数系统, 记数法		shù zhì, jìshù xìtǒng, jìshù fǎ
numerator	fraction, operand	分子		fēn zǐ
object (mathematics)		物体（数学）		wù tǐ (shù xué)
octal, oct	numeral system	八进制		bā jìnzhì
operand	operation (mathematics)	运算数, 运算元		yùnsuàn shù, yùnsuàn yuán
operation (mathematics)	number	运算		yùnsuàn
operator precedence, order of operations	basic operations, exponentiation, root extraction	运算次序, 运算顺序		yùnsuàn cìxù, yùnsuàn shùnxù
percentage	fraction	百分数		bǎifēn shù
percent sign	percentage	百分号		bǎifēn hào
pi, Archimedes' constant	constant (mathematics), ratio, circumstance <geometry>, diameter <geometry>	圆周率		yuánzhōu lǜ
plus sign	addition, positive number	加号		jiā hào
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
positive number	number	正数		zhèng shù
power	exponentiation	次幂, 次方		cìmì, cìfāng
prime number, prime	product (mathematics), natural number	质数, 素数		zhì shù, sù shù
product (mathematics)	multiplication	积		jī
proper fraction	fraction	真分数		zhēn fēnshù
quotient	division	商		shāng
radix, base	positional notation	底数（进制）		dǐ shù (jìn zhì)
radix character	radix	小数点		xiǎoshù diǎn
ratio	number	比率, 比值		bǐ lǜ, bǐ zhí
rational number	fraction, integer	有理数		yǒulǐ shù
real axis	real line	实轴		shí zhóu
real line	line <geometry>, point <geometry>, real number	实数线		shíshù xiàn
real number	rational number	实数		shí shù
reciprocal function	function, multiplicative inverse	互反函数		hùfǎn hánshù
relation (mathematics)	set (mathematics) <set theory>	关系（数学）		guānxi (shù xué)
remainder	division with remainder	余数		yú shù
root (mathematics)	nth root	根		gēn
root extraction	nth root	开方		kāi fāng
parentheses	operator precedence	圆括号, 括弧号		yuán kuòhào, kuòhú hào
simple fraction, common fraction, vulgar fraction	fraction	简分数		jiǎn fēnshù
subtraction	number, binary operation	减法		jiǎn fǎ
subtrahend	subtraction	被减数		bèijiǎn shù
sum	addition	和		hé
symbol (mathematics)		符号（数学）		fúhào (shù xué)
unary number	numeral system	一进制		yī jìnzhì
unit fraction	fraction	单位分数		dānwèi fēnshù
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		zhèng zhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ
zero	number	零		líng