Difference between revisions of "Language/Multiple-languages/Vocabulary/Number-Theory"
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|unique | |unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic | ||
|prime number | |prime number | ||
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Revision as of 09:19, 28 September 2021
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. They are going to be read by machine and made use of by other means.
“Prerequisites” for non-English languages are to be generated through programs, so they are kept empty.
In progress.
eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] |
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arithmetic | arithmétique [f] | 算术 | suàn shù | Arithmetik [f] | |||||
absolute value, modulus (real number) | real number | valeur [f] absolue | 绝对值 | juéduì zhí | Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert | ||||
addition | number, binary operation | addition [f] | 加法 | jiā fǎ | Addition [f] | ||||
additive inverse, opposite, negation | addition, number | 加法逆元, 相反数 | jiāfǎ nìyuán, xiāngfǎn shù | Gegenzahl [f] | |||||
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 [f] (Exponentiation) | |||||
base (logarithm) | logarithm | 底数(对数), 基数(对数) | dǐ shù (duì shù), jīshù (duì shù) | Basis [f] (Logarithmus) | |||||
basic operations | addition, division, multiplication, subtraction | 四则运算 | sìzé yùnsuàn | Grundrechnungsarten [f,pl]; Grundrechenarten [f,pl] | |||||
binary logarithm | logarithm | logarithme [m] binaire | 以 2 为底的对数 | yǐ èr wéi dǐ de duìshù | binärer Logarithmus, dualer Logarithmus | ||||
binary system | numeral system | système [m] binaire | 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) | relation [f] binaire | 二元关系 | èryuán guānxi | binäre Relation | ||||
complex number | imaginary number, real number | nombre [m] complexe | 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 | constante [f] | 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 | Dezimaldarstellung [f] | |||||
decimal separator | decimal representation, radix character | 小数点 | xiǎoshù diǎn | Dezimaltrennzeichen [n] | |||||
degree (root) | nth root | degré [m] (racine) | 次方根 | cìfāng gēn | Wurzelgrad [m] | ||||
denominator | fraction, operand | dénominateur [m] | 分母 | fēn mǔ | Nenner [m] | ||||
dependent variable | fraction, operand | 因变量 | yīn biànliàng | abhängige Variable | |||||
difference | subtraction | différence [f] | 差 | chā | Differenz [f] | ||||
digit | chiffre [m] | 数字 | shù zì | Ziffer [f] | |||||
distributive property, distributivity | operation (mathematics) | 分配律 | fēnpèi lǜ | Distributivgesetz [n], Distributivität [f] | |||||
dividend | fraction, operand | dividende [m] | 被除数 | bèichú shù | Dividend [m] | ||||
division | number, binary operation | division [f] | 除法 | chú fǎ | Division [f] | ||||
division by zero | division, zero | division [f] par zéro | 除以零 | chú yǐ líng | Division [f] durch Null | ||||
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 | diviseur [m] | 除数 | chú shù | Divisor [m] | ||||
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 | signe [m] égal | 等号 | děng hào | Gleichheitszeichen [n], Ist-gleich-Zeichen [n] | ||||
equality | égalité [f] | 相等 | xiāng děng | Gleichheit [f] (Mathematik) | |||||
equation | equality, expression (mathematics) | équation [f] | 方程, 等式 | fāngchéng, děng shì | Gleichung [f] | ||||
Euclid's lemma | prime number | 欧几里得引理 | Ōujīlǐdé yǐnlǐ | Lemma [n] 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 | exposant [m] | 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 [f] (Mathematik) | |||||
expression (mathematics) | digit, symbol (mathematics) | expression [f] (mathématique) | 表达式, 表示式, 运算式 | biǎodá shì, biǎoshì shì, yùnsuàn shì | Ausdruck [m] (Mathematik) | ||||
fraction | division, integer | fraction [f] | 分数 | fēn shù | Bruch [m] | ||||
factorization, factoring | object (mathematics) | factorisation [f] | 因式分解 | yīnshì fēnjiě | Faktorisierung [f] (Mathematik) | ||||
function (mathematics) | binary relation, set (mathematics) <set theory> | fonction [f] | 函数 | hán shù | Funktion [f] (Mathematik) | ||||
greater than | inequality (mathematics) | plus grand que | 大于 | dà yú | größer als | ||||
greater than or equal to | inequality (mathematics), equality | plus grand ou égal à | 大于等于 | dàyú děngyú | größer als oder gleich | ||||
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 | nombre [m] imaginaire | 虚数 | xū shù | imaginäre Zahl | ||||
imaginary axis | imaginary line (mathematics) | 虚轴 | xū zhóu | imaginäre Achse | |||||
imaginary line (mathematics) | line (geometry) <geometry>, point (geometry) <geometry>, imaginary number | 虚数线 | xūshù xiàn | imaginäre Linie | |||||
improper fraction | fraction | 假分数 | jiǎ fēnshù | unechter Bruch, uneigentlicher Bruch | |||||
independent variable, argument of a function | function (mathematics) | 自变量 | zì biànliàng | unabhängige Variable | |||||
inequation | inequality (mathematics) | inéquation [f] | 不等式 | bùděng shì | Ungleichung [f] | ||||
inequality (mathematics) | inégalité [f] | 不等 | bù děng | Ungleichheit [f] | |||||
integer | natural number, negative number | entier | 整数 | zhěng shù | Ganzzahl [f], ganze Zahl | ||||
inverse function, anti-function | function (mathematics) | fonction [f] inverse | 反函数 | fǎn hánshù | Umkehrfunktion [f], inverse Funktion | ||||
irrational number | rational number, real number | 无理数 | wúlǐ shù | irrationale Zahl | |||||
less than | inequality (mathematics) | inférieur à | 小于 | xiǎo yú | kleiner als | ||||
less than or equal to | inequality (mathematics), equality | inférieur ou égal à | 小于等于 | xiǎoyú děngyú | kleiner als oder gleich | ||||
logarithm | number, binary operation | logarithme [m] | 对数 | duì shù | Logarithmus [m] | ||||
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] | |||||
much greater than | inequality (mathematics) | 远大于 | yuǎn dàyú | viel größer als | |||||
much less than | inequality (mathematics) | 远小于 | yuǎn xiǎoyú | viel weniger als | |||||
multiplicand | multiplication, operand | 被乘数 | bèichéng shù | Multiplikand [m] | |||||
multiplier | multiplication, operand | 乘数 | chéng shù | Multiplikator [m] | |||||
multiplication | number, binary operation | 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 | e (constant), logarithm | 自然对数 | zìrán duìshù | natürlicher Logarithmus | |||||
natural number, counting number | number | 自然数 | zìrán shù | natürliche Zahl | |||||
negative number | number | 负数 | fù shù | negative Zahl | |||||
notation (mathematics) | numeral, symbol (mathematics) | 符号(数学) | fúhào (shùxué) | Notation [f] (Mathematik) | |||||
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 | 次方根 | cìfāng gēn | Wurzel [f] (Mathematik), Radikal [n] (Mathematik) | |||||
numeral | digit, symbol (mathematics) | 数字 | shù zì | Zahl [f], Ziffer [f] | |||||
number | numeral, object (mathematics) | 数字 | shù zì | Zahl [f] | |||||
number line | line (geometry) <geometry> | 数轴, 数线 | shù zhóu, shù xiàn | Zahlengerade [f], Zahlenstrahl [m] | |||||
numeral system | notation (mathematics) | 数制, 记数系统, 记数法 | shù zhì, jìshù xìtǒng, jìshù fǎ | Zahlensystem [n] | |||||
numerator | fraction, operand | 分子 | fēn zǐ | Zähler [m] | |||||
object (mathematics) | 物体(数学) | wù tǐ (shù xué) | Objekt [n] (Mathematik) | ||||||
octal, oct | numeral system | 八进制 | bā jìnzhì | Oktalsystem [n] | |||||
operand | operation (mathematics) | 运算数, 运算元 | yùnsuàn shù, yùnsuàn yuán | Operand [m] | |||||
operation (mathematics) | number | 运算 | yùnsuàn | Verknüpfung (Mathematik) | |||||
operator precedence, order of operations | basic operations, exponentiation, root extraction | 运算次序, 运算顺序 | yùnsuàn cìxù, yùnsuàn shùnxù | Operatorpräzedenz [f], Operatorrangfolge [f] | |||||
percentage | fraction | 百分数 | bǎifēn shù | Prozentsatz [m] | |||||
percent sign | percentage | 百分号 | bǎifēn hào | Prozentzeichen [n] | |||||
pi, Archimedes' constant | constant (mathematics), ratio, circumstance <geometry>, diameter <geometry> | 圆周率 | yuánzhōu lǜ | Pi [n], Kreiszahl [f] | |||||
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 | 正数 | zhèng shù | positive Zahl | |||||
prime number, prime | product (mathematics), natural number | 质数, 素数 | zhì shù, sù shù | Primzahl [f] | |||||
product (mathematics) | multiplication | 积 | jī | Produkt [n] (Mathematik) | |||||
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 | 比率, 比值 | bǐ lǜ, bǐ zhí | Verhältnis [n] | |||||
rational number | fraction, integer | 有理数 | yǒulǐ shù | rationale Zahl | |||||
real axis | real line | 实轴 | shí zhóu | reelle Achse | |||||
real line | line (geometry) <geometry>, point (geometry) <geometry>, real number | 实数线 | shíshù xiàn | reelle Linie | |||||
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 | |||||
relation (mathematics) | set (mathematics) <set theory> | 关系(数学) | guānxi (shù xué) | Relation [f] (Mathematik) | |||||
remainder | division with remainder | 余数 | yú shù | Rest [m], Teilungsrest [m] | |||||
root (mathematics) | nth root | 根 | gēn | Wurzel [f] | |||||
root extraction | nth root | 开方 | kāi fāng | Radizieren [n] | |||||
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 | |||||
subtraction | number, binary operation | 减法 | jiǎn fǎ | Subtraktion [f], Abziehen [n], Abzug [m] | |||||
subtrahend | subtraction | 被减数 | bèijiǎn shù | Subtrahend [m] | |||||
sum | addition | 和 | hé | Summe [f] | |||||
symbol (mathematics) | 符号(数学) | fúhào (shù xué) | Symbol [n] (Mathematik) | ||||||
unary numeral 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 | zhèng zhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ | Fundamentalsatz [m] der Arithmetik | |||||
zero | number | 零 | líng | Null [f] |