Difference between revisions of "Language/Multiple-languages/Vocabulary/Number-Theory"
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Revision as of 14:50, 1 October 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 | 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-Hrkt-JP: がいねん | jpn-Hrkt-JP: ぜんたい | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
number theory | 数论 | shù lùn | Zahlentheorie [f] | théorie [f] des nombres | すうろん | 数論 | тео́рия чи́сел | ||||||||
arithmetic | 算术 | suàn shù | Arithmetik [f] | arithmétique [f] | さんすう | 算数 | арифме́тика | ||||||||
algebraic number theory | arithmetic, algebra | 代数数论 | dàishù shùlùn | algebraische Zahlentheorie | théorie [f] algébrique des nombres | だいすうてきせいすうろん | 代数的整数論 | алгебраи́ческая тео́рия чи́сел | |||||||
analytic number theory | arithmetic, mathematical analysis | 解析数论 | jiěxī shùlùn | analytische Zahlentheorie | théorie [f] analytique des nombres | かいせきてきせいすうろん, かいせきすうろん | 解析的整数論, 解析数論 | аналити́ческая тео́рия чи́сел |
Arithmetic
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-Hrkt-JP | jpn-Hrkt-JP: | jpn-Jpan-JP:前提 | jpn-Jpan-JP: | rus-Cyrl-RU: | rus-Cyrl-RU: |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
abacus | basic operations | 算盘 | suàn pan | Abakus [m] | |||||||||||
absolute value, modulus (real number) | real number | 绝对值 | juéduì zhí | Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert | valeur [f] absolue | ||||||||||
addition | number, binary operation | 加法 | jiā fǎ | Addition [f] | 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] | |||||||||||
analog computer | basic operations, logarithm, exponentiation | 模拟计算机 | mónǐ jìsuànjī | Analogrechner [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 | 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 | ||||||||||
binary operation, dyadic operation | operation (mathematics) | 二元运算 | èryuán yùnsuàn | zweistellige Verknüpfung, binäre Verknüpfung | |||||||||||
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 (mathematics) | number | 常数, 定数 | cháng shù, dìng shù | Konstante [f], Festwert [m] | constante [f] | ||||||||||
counting rods | basic operations | 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 | 小数 | xiǎo shù | Dezimaldarstellung [f] | |||||||||||
decimal separator | decimal representation, radix character | 小数点 | xiǎoshù diǎn | Dezimaltrennzeichen [n] | |||||||||||
degree (root) | nth root | 次方根 | cìfāng gēn | Wurzelgrad [m] | degré [m] (racine) | ||||||||||
denominator | fraction, operand | 分母 | fēn mǔ | Nenner [m] | dénominateur [m] | ||||||||||
dependent variable | fraction, operand | 因变量 | yīn biànliàng | abhängige Variable | |||||||||||
difference | subtraction | 差 | chā | Differenz [f] | différence [f] | ||||||||||
digit | 数字 | shù zì | Ziffer [f] | chiffre [m] | |||||||||||
direct rounding | rounding up, rounding down, rounding towards zero, rounding away from zero | ||||||||||||||
distributive property, distributivity | operation (mathematics) | 分配律 | fēnpèi lǜ | Distributivgesetz [n], Distributivität [f] | |||||||||||
dividend | fraction, operand | 被除数 | bèichú shù | Dividend [m] | dividende [m] | ||||||||||
division | number, binary operation | 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 | 除数 | chú shù | Divisor [m] | diviseur [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] | |||||||||||
engineering notation | scientific notation | 工程计数法 | gōngchéng jìshù fǎ | technische Notation [f] | |||||||||||
equal sign | equation | 等号 | děng hào | Gleichheitszeichen [n], Ist-gleich-Zeichen [n] | signe [m] égal | ||||||||||
equality | 相等 | xiāng děng | Gleichheit [f] (Mathematik) | égalité [f] | |||||||||||
equation | equality, expression (mathematics) | 方程, 等式 | fāngchéng, děng shì | Gleichung [f] | équation [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 | |||||||||||
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, binary operation | 幂运算, 指数运算 | mì yùnsuàn, zhǐshù yùnsuàn | Potenz [f] (Mathematik) | |||||||||||
expression (mathematics) | digit, symbol (mathematics) | 表达式, 表示式, 运算式 | biǎodá shì, biǎoshì shì, yùnsuàn shì | Ausdruck [m] (Mathematik) | expression [f] (mathématique) | ||||||||||
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 (mathematics) | 因式分解 | yīnshì fēnjiě | Faktorisierung [f] (Mathematik) | factorisation [f] | ||||||||||
greater than | inequality (mathematics) | 大于 | dà yú | größer als | plus grand que | ||||||||||
greater than or equal to | inequality (mathematics), equality | 大于等于 | dàyú děngyú | größer als oder gleich | plus grand ou égal à | ||||||||||
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 | ||||||||||
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) | 不等式 | bùděng shì | Ungleichung [f] | inéquation [f] | ||||||||||
inequality (mathematics) | 不等 | bù děng | Ungleichheit [f] | inégalité [f] | |||||||||||
integer | natural number, negative number | 整数 | zhěng shù | Ganzzahl [f], ganze Zahl | entier | ||||||||||
inverse function, anti-function | function (mathematics) | 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] | |||||||||||
less than | inequality (mathematics) | 小于 | xiǎo yú | kleiner als | inférieur à | ||||||||||
less than or equal to | inequality (mathematics), equality | 小于等于 | xiǎoyú děngyú | kleiner als oder gleich | inférieur ou égal à | ||||||||||
logarithm | number, binary operation | 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 | |||||||||||
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] | |||||||||||
multiplication table | multiplication | 乘法表 | chéngfǎ biǎo | Einmaleins [n] | |||||||||||
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 | |||||||||||
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 | 自然数 | zìrán shù | natürliche Zahl | |||||||||||
negative number | number | 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 (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] | |||||||||||
odd number | natural number, division | 奇数 | jī shù | ungerade Zahl | |||||||||||
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] | |||||||||||
parity | natural number | 奇偶性 | jī'ǒu xìng | Parität [f] | |||||||||||
Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle | 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 | |||||||||||
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] | |||||||||||
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 | |||||||||||
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] | |||||||||||
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, 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) | ||||||||||||
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 | zhèng zhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ | Fundamentalsatz [m] der Arithmetik | |||||||||||
zero | number | 零 | líng | Null [f] |
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-Hrkt-JP | jpn-Hrkt-JP: | jpn-Jpan-JP:前提 | jpn-Jpan-JP: | rus-Cyrl-RU: | rus-Cyrl-RU: |
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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-Hrkt-JP | jpn-Hrkt-JP: | jpn-Jpan-JP:前提 | jpn-Jpan-JP: | rus-Cyrl-RU: | rus-Cyrl-RU: |
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* Related Free Educational Resources
branch | name | link | language | public license |
---|---|---|---|---|
Arithmetic | Arithmetic Game | https://arithmetic.zetamac.com/ | English | - |
Arithmetic | gbrainy | https://wiki.gnome.org/Apps/gbrainy | English | GNU GPLv2 |
Arithmetic | Number Empire | https://www.numberempire.com/ | Chinese, Dutch, English, French, German, Italian, Japanese, Korean, Polish, Portuguese, Russian, Spanish | - |
Arithmetic | Wolfram|Alpha | https://www.wolframalpha.com/ | English, Japanese | - |