Difference between revisions of "Language/Multiple-languages/Vocabulary/Number-Theory"

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{| class="wikitable"
{| class="wikitable"
!eng-Latn-US: concept !!eng-Latn-US: prerequisite
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
!cmn-Hans-CN: 概念 !!cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
!cmn-Latn.Pinyin-CN: gàiniàn !!cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
!deu-Latn-DE: Begriff [m] !!deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
!fra-Latn-FR: concept [m] !!fra-Latn-FR: préalable [m]
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
!jpn-Jpan-JP: 概念 !!jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
!rus-Cyrl-RU: конце́пция !!rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|number theory ||
| number theory ||  
|数论 ||
| 数论 ||  
|shù lùn ||
| shù lùn ||  
|Zahlentheorie [f] ||
| Zahlentheorie [f] ||  
|théorie [f] des nombres ||
| théorie [f] des nombres ||  
|すうろん ||
| すうろん ||  
|数論 ||
| 数論 ||  
|тео́рия чи́сел ||
| тео́рия чи́сел ||  
|-
|-
|arithmetic ||
| arithmetic ||  
|算术 ||
| 算术 ||  
|suàn shù ||
| suàn shù ||  
|Arithmetik [f] ||
| Arithmetik [f] ||  
|arithmétique [f] ||
| arithmétique [f] ||  
|さんすう ||
| さんすう ||  
|算数 ||
| 算数 ||  
|арифме́тика ||
| арифме́тика ||  
|-
|-
|algebraic number theory
| algebraic number theory
|arithmetic, algebra
| arithmetic, algebra
|代数数论 ||
| 代数数论 ||  
|dàishù shùlùn ||
| dàishù shùlùn ||  
|algebraische Zahlentheorie ||
| algebraische Zahlentheorie ||  
|théorie [f] algébrique des nombres ||
| théorie [f] algébrique des nombres ||  
|だいすうてきせいすうろん ||
| だいすうてきせいすうろん ||  
|代数的整数論 ||
| 代数的整数論 ||  
|алгебраи́ческая тео́рия чи́сел ||
| алгебраи́ческая тео́рия чи́сел ||  
|-
|-
|analytic number theory
| analytic number theory
|arithmetic, mathematical analysis
| arithmetic, mathematical analysis
|解析数论 ||
| 解析数论 ||  
|jiěxī shùlùn ||
| jiěxī shùlùn ||  
|analytische Zahlentheorie ||
| analytische Zahlentheorie ||  
|théorie [f] analytique des nombres ||
| 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 ||
| 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 ||
| 解析的整数論, 解析数論 ||  
|аналити́ческая тео́рия чи́сел ||
| аналити́ческая тео́рия чи́сел ||  
|}
|}


== Arithmetic ==
== Arithmetic ==
{| class="wikitable"
{| class="wikitable"
!eng-Latn-US: concept !!eng-Latn-US: prerequisite
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
!cmn-Hans-CN: 概念 !!cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
!cmn-Latn.Pinyin-CN: gàiniàn !!cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
!deu-Latn-DE: Begriff [m] !!deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
!fra-Latn-FR: concept [m] !!fra-Latn-FR: préalable [m]
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
!jpn-Jpan-JP: 概念 !!jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
!rus-Cyrl-RU: конце́пция !!rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|abacus ||basic operations
| abacus || basic operations
|算盘 ||
| 算盘 ||  
|suàn pan ||
| suàn pan ||  
|Abakus [m] ||
| Abakus [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|absolute value, modulus (real number) ||real number
| absolute value, modulus (real number) || real number
|绝对值 ||
| 绝对值 ||  
|juéduì zhí ||
| juéduì zhí ||  
|Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert ||
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert ||  
|valeur [f] absolue ||
| valeur [f] absolue ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|addition ||number, binary operation
| addition || number, binary operation
|加法 ||
| 加法 ||  
|jiā fǎ ||
| jiā fǎ ||  
|Addition [f] ||
| Addition [f] ||  
|addition [f] ||
| addition [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|additive inverse, opposite, negation ||addition, number
| additive inverse, opposite, negation || addition, number
|加法逆元, 相反数 ||
| 加法逆元, 相反数 ||  
|jiāfǎ nìyuán, xiāngfǎn shù ||
| jiāfǎ nìyuán, xiāngfǎn shù ||  
|Gegenzahl [f] ||
| Gegenzahl [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|addend, summand ||addition, operand
| addend, summand || addition, operand
|加数 ||
| 加数 ||  
|jiā shù ||
| jiā shù ||  
|Summand [m] ||
| Summand [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|analog computer ||basic operations, logarithm, exponentiation
| analog computer || basic operations, logarithm, exponentiation
|模拟计算机 ||
| 模拟计算机 ||  
|mónǐ jìsuànjī ||
| mónǐ jìsuànjī ||  
|Analogrechner [m] ||
| Analogrechner [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|anticommutative property, anticommutativity ||operation (mathematics)
| anticommutative property, anticommutativity || operation (mathematics)
|反交换律 ||
| 反交换律 ||  
|fǎnjiāohuàn lǜ ||
| fǎnjiāohuàn lǜ ||  
|Antikommutativgesetz [n], Antikommutativität [f] ||
| Antikommutativgesetz [n], Antikommutativität [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|associative property, associativity ||operation (mathematics)
| associative property, associativity || operation (mathematics)
|结合律 ||
| 结合律 ||  
|jiéhé lǜ ||
| jiéhé lǜ ||  
|Assoziativgesetz [n], Assoziativität [f] ||
| Assoziativgesetz [n], Assoziativität [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|augend ||addition, operand
| augend || addition, operand
|被加数 ||
| 被加数 ||  
|bèijiā shù ||
| bèijiā shù ||  
|erster Summand ||
| erster Summand ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|base (exponentiation) ||exponentiation
| base (exponentiation) || exponentiation
|底数（指数）, 基数（指数） ||
| 底数（指数）, 基数（指数） ||  
|dǐ shù (zhǐ shù), jīshù (zhǐ shù) ||
| dǐ shù (zhǐ shù), jīshù (zhǐ shù) ||  
|Basis [f] (Exponentiation) ||
| Basis [f] (Exponentiation) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|base (logarithm) ||logarithm
| base (logarithm) || logarithm
|底数（对数）, 基数（对数） ||
| 底数（对数）, 基数（对数） ||  
|dǐ shù (duì shù), jīshù (duì shù) ||
| dǐ shù (duì shù), jīshù (duì shù) ||  
|Basis [f] (Logarithmus) ||
| Basis [f] (Logarithmus) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|basic operations ||addition, division, multiplication, subtraction
| basic operations || addition, division, multiplication, subtraction
|四则运算 ||
| 四则运算 ||  
|sìzé yùnsuàn ||
| sìzé yùnsuàn ||  
|Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|binary logarithm ||logarithm
| binary logarithm || logarithm
|以二为底的对数 ||
| 以二为底的对数 ||  
|yǐ èr wéi dǐ de duìshù ||
| yǐ èr wéi dǐ de duìshù ||  
|binärer Logarithmus, dualer Logarithmus ||
| binärer Logarithmus, dualer Logarithmus ||  
|logarithme [m] binaire ||
| logarithme [m] binaire ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|binary system ||numeral system
| binary system || numeral system
|二进制 ||
| 二进制 ||  
|èr jìnzhì ||
| èr jìnzhì ||  
|Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||  
|système [m] binaire ||
| système [m] binaire ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|binary operation, dyadic operation ||operation (mathematics)
| binary operation, dyadic operation || operation (mathematics)
|二元运算 ||
| 二元运算 ||  
|èryuán yùnsuàn ||
| èryuán yùnsuàn ||  
|zweistellige Verknüpfung, binäre Verknüpfung ||
| zweistellige Verknüpfung, binäre Verknüpfung ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|chisanbop ||addition, subtraction
| chisanbop || addition, subtraction
|指算法 ||
| 指算法 ||  
|zhǐ suànfǎ ||
| zhǐ suànfǎ ||  
|Chisanbop [n] ||
| Chisanbop [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|complex number ||imaginary number, real number
| complex number || imaginary number, real number
|复数 ||
| 复数 ||  
|fù shù ||
| fù shù ||  
|komplexe Zahl ||
| komplexe Zahl ||  
|nombre [m] complexe ||
| nombre [m] complexe ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|composite number ||division, natural number
| composite number || division, natural number
|合数, 合成数 ||
| 合数, 合成数 ||  
|hé shù, héchéng shù ||
| hé shù, héchéng shù ||  
|zusammengesetzte Zahl ||
| zusammengesetzte Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|constant (mathematics) ||number
| constant (mathematics) || number
|常数, 定数 ||
| 常数, 定数 ||  
|cháng shù, dìng shù ||
| cháng shù, dìng shù ||  
|Konstante [f], Festwert [m] ||
| Konstante [f], Festwert [m] ||  
|constante [f] ||
| constante [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|counting rods ||basic operations
| counting rods || basic operations
|算筹, 算子 ||
| 算筹, 算子 ||  
|suàn chóu, suàn zǐ ||
| suàn chóu, suàn zǐ ||  
|Zählstäbe [m pl] ||
| Zählstäbe [m pl] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|decimal, base-ten ||integer
| decimal, base-ten || integer
|十进制 ||
| 十进制 ||  
|shíjìn zhì ||
| shíjìn zhì ||  
|Dezimalsystem [n], Zehnersystem [n], dekadisches System ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|decimal logarithm, common logarithm ||logarithm
| decimal logarithm, common logarithm || logarithm
|常用对数 ||
| 常用对数 ||  
|chángyòng duìshù ||
| chángyòng duìshù ||  
|dekadischer Logarithmus, Zehnerlogarithmus [m] ||
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|decimal representation ||number
| decimal representation || number
|小数 ||
| 小数 ||  
|xiǎo shù ||
| xiǎo shù ||  
|Dezimaldarstellung [f] ||
| Dezimaldarstellung [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|decimal separator ||decimal representation, radix character
| decimal separator || decimal representation, radix character
|小数点 ||
| 小数点 ||  
|xiǎoshù diǎn ||
| xiǎoshù diǎn ||  
|Dezimaltrennzeichen [n] ||
| Dezimaltrennzeichen [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|degree (root) ||nth root
| degree (root) || nth root
|次方根 ||
| 次方根 ||  
|cìfāng gēn ||
| cìfāng gēn ||  
|Wurzelgrad [m] ||
| Wurzelgrad [m] ||  
|degré [m] (racine) ||
| degré [m] (racine) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|denominator ||fraction, operand
| denominator || fraction, operand
|分母 ||
| 分母 ||  
|fēn mǔ ||
| fēn mǔ ||  
|Nenner [m] ||
| Nenner [m] ||  
|dénominateur [m] ||
| dénominateur [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|difference ||subtraction
| difference || subtraction
|差 ||
| 差 ||  
|chā ||
| chā ||  
|Differenz [f] ||
| Differenz [f] ||  
|différence [f] ||
| différence [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|digit ||
| digit ||  
|数字 ||
| 数字 ||  
|shù zì ||
| shù zì ||  
|Ziffer [f] ||
| Ziffer [f] ||  
|chiffre [m] ||
| chiffre [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|direct rounding || rounding up, rounding down, rounding towards zero, rounding away from zero
| direct rounding || rounding up, rounding down, rounding towards zero, rounding away from zero
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|distributive property, distributivity ||operation (mathematics)
| distributive property, distributivity || operation (mathematics)
|分配律 ||
| 分配律 ||  
|fēnpèi lǜ ||
| fēnpèi lǜ ||  
|Distributivgesetz [n], Distributivität [f] ||
| Distributivgesetz [n], Distributivität [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|dividend ||fraction, operand
| dividend || fraction, operand
|被除数 ||
| 被除数 ||  
|bèichú shù ||
| bèichú shù ||  
|Dividend [m] ||
| Dividend [m] ||  
|dividende [m] ||
| dividende [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|division ||number, binary operation
| division || number, binary operation
|除法 ||
| 除法 ||  
|chú fǎ ||
| chú fǎ ||  
|Division [f] ||
| Division [f] ||  
|division [f] ||
| division [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|division by zero ||division, zero
| division by zero || division, zero
|除以零 ||
| 除以零 ||  
|chú yǐ líng ||
| chú yǐ líng ||  
|Division [f] durch Null ||
| Division [f] durch Null ||  
|division [f] par zéro ||
| division [f] par zéro ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|division with remainder, Euclidean division ||division
| division with remainder, Euclidean division || division
|带余除法, 欧几里德除法 ||
| 带余除法, 欧几里德除法 ||  
|dàiyú chúfǎ, Ōujīlǐdé chúfǎ ||
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ ||  
|Division [f] mit Rest ||
| Division [f] mit Rest ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|divisor ||division, operand
| divisor || division, operand
|除数 ||
| 除数 ||  
|chú shù ||
| chú shù ||  
|Divisor [m] ||
| Divisor [m] ||  
|diviseur [m] ||
| diviseur [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|commutative property, commutativity ||operation (mathematics)
| commutative property, commutativity || operation (mathematics)
|交换律 ||
| 交换律 ||  
|jiāohuàn lǜ ||
| jiāohuàn lǜ ||  
|Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f] ||
| Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|Egyptian fraction ||unit fraction
| Egyptian fraction || unit fraction
|埃及分数 ||
| 埃及分数 ||  
|Āijí fēnshù ||
| Āijí fēnshù ||  
|Stammbruchzerlegung [f] ||
| Stammbruchzerlegung [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|engineering notation ||scientific notation
| engineering notation || scientific notation
|工程计数法 ||
| 工程计数法 ||  
|gōngchéng jìshù fǎ ||
| gōngchéng jìshù fǎ ||  
|technische Notation [f] ||
| technische Notation [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|equal sign ||equality
| equal sign || equality
|等号 ||
| 等号 ||  
|děng hào ||
| děng hào ||  
|Gleichheitszeichen [n], Ist-gleich-Zeichen [n] ||
| Gleichheitszeichen [n], Ist-gleich-Zeichen [n] ||  
|signe [m] égal ||
| signe [m] égal ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|equality ||
| equality ||  
|相等 ||
| 相等 ||  
|xiāng děng ||
| xiāng děng ||  
|Gleichheit [f] (Mathematik) ||
| Gleichheit [f] (Mathematik) ||  
|égalité [f] ||
| égalité [f] ||  
| ||
| ||  
|-
|-
|Euclid's lemma ||prime number
| Euclid's lemma || prime number
|欧几里得引理 ||
| 欧几里得引理 ||  
|Ōujīlǐdé yǐnlǐ ||
| Ōujīlǐdé yǐnlǐ ||  
|Lemma [n] von Euklid ||
| Lemma [n] von Euklid ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|e (constant), Euler's number ||constant (mathematics)
| e (constant), Euler's number || constant (mathematics)
|自然常数, 自然底数, 欧拉数 ||
| 自然常数, 自然底数, 欧拉数 ||  
|zìrán chángshù, zìrán dǐshù, Ōulā shù ||
| zìrán chángshù, zìrán dǐshù, Ōulā shù ||  
|Eulersche Zahl ||
| Eulersche Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|even number ||natural number, division
| even number || natural number, division
|偶数 ||
| 偶数 ||  
|ǒu shù ||
| ǒu shù ||  
|gerade Zahl ||
| gerade Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|exponent ||exponentiation
| exponent || exponentiation
|幂, 指数 ||
| 幂, 指数 ||  
|mì, zhǐ shù ||
| mì, zhǐ shù ||  
|Hochzahl [f], Exponent [m] ||
| Hochzahl [f], Exponent [m] ||  
|exposant [m] ||
| exposant [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|exponentiation ||number, binary operation
| exponentiation || number, binary operation
|幂运算, 指数运算 ||
| 幂运算, 指数运算 ||  
|mì yùnsuàn, zhǐshù yùnsuàn ||
| mì yùnsuàn, zhǐshù yùnsuàn ||  
|Potenz [f] (Mathematik) ||
| Potenz [f] (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|expression (mathematics) ||digit, symbol (mathematics)
| expression (mathematics) || digit, symbol (mathematics)
|表达式, 表示式, 运算式 ||
| 表达式, 表示式, 运算式 ||  
|biǎodá shì, biǎoshì shì, yùnsuàn shì ||
| biǎodá shì, biǎoshì shì, yùnsuàn shì ||  
|Ausdruck [m] (Mathematik) ||
| Ausdruck [m] (Mathematik) ||  
|expression [f] (mathématique) ||
| expression [f] (mathématique) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|finger binary ||addition, subtraction, binary system
| finger binary || addition, subtraction, binary system
|二进制指算法 ||
| 二进制指算法 ||  
|èrjìnzhì zhǐsuànfǎ ||
| èrjìnzhì zhǐsuànfǎ ||  
|binär zählen mit Fingern [m pl] ||
| binär zählen mit Fingern [m pl] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|fraction ||division, integer
| fraction || division, integer
|分数 ||
| 分数 ||  
|fēn shù ||
| fēn shù ||  
|Bruch [m] ||
| Bruch [m] ||  
|fraction [f] ||
| fraction [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|factorization, factoring ||object (mathematics)  
| factorization, factoring || object (mathematics)  
|因式分解 ||
| 因式分解 ||  
|yīnshì fēnjiě ||
| yīnshì fēnjiě ||  
|Faktorisierung [f] (Mathematik) ||
| Faktorisierung [f] (Mathematik) ||  
|factorisation [f] ||
| factorisation [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|greater than ||inequality (mathematics)
| greater than || inequality (mathematics)
|大于 ||
| 大于 ||  
|dà yú ||
| dà yú ||  
|größer als ||
| größer als ||  
|plus grand que ||
| plus grand que ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|greater than or equal to ||inequality (mathematics), equality
| greater than or equal to || inequality (mathematics), equality
|大于等于 ||
| 大于等于 ||  
|dàyú děngyú ||
| dàyú děngyú ||  
|größer als oder gleich ||
| größer als oder gleich ||  
|plus grand ou égal à  ||
| plus grand ou égal à  ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|hexadecimal, base 16, hex ||numeral system
| hexadecimal, base 16, hex || numeral system
|十六进制 ||
| 十六进制 ||  
|shíliù jìnzhì ||
| shíliù jìnzhì ||  
|Hexadezimalsystem [n], Sedezimalsystem [n] ||
| Hexadezimalsystem [n], Sedezimalsystem [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|imaginary unit, unit imaginary number ||imaginary number
| imaginary unit, unit imaginary number || imaginary number
|虚数单位 ||
| 虚数单位 ||  
|xūshù dānwèi ||
| xūshù dānwèi ||  
|imaginäre Einheit ||
| imaginäre Einheit ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|imaginary number ||negative number, exponentiation
| imaginary number || negative number, exponentiation
|虚数 ||
| 虚数 ||  
|xū shù ||
| xū shù ||  
|imaginäre Zahl ||
| imaginäre Zahl ||  
|nombre [m] imaginaire ||
| nombre [m] imaginaire ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|imaginary axis ||imaginary line (mathematics)
| imaginary axis || imaginary line (mathematics)
|虚轴 ||
| 虚轴 ||  
|xū zhóu ||
| xū zhóu ||  
|imaginäre Achse ||
| imaginäre Achse ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|imaginary line (mathematics) ||line (geometry) <geometry>, point (geometry) <geometry>, imaginary number
| imaginary line (mathematics) || line (geometry) <geometry>, point (geometry) <geometry>, imaginary number
|虚数线 ||
| 虚数线 ||  
|xūshù xiàn ||
| xūshù xiàn ||  
|imaginäre Linie ||
| imaginäre Linie ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|improper fraction ||fraction
| improper fraction || fraction
|假分数 ||
| 假分数 ||  
|jiǎ fēnshù ||
| jiǎ fēnshù ||  
|unechter Bruch, uneigentlicher Bruch ||
| unechter Bruch, uneigentlicher Bruch ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|inequality (mathematics) ||
| inequality (mathematics) ||  
|不等 ||
| 不等 ||  
|bù děng ||
| bù děng ||  
|Ungleichheit [f] ||
| Ungleichheit [f] ||  
|inégalité [f] ||
| inégalité [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|integer ||natural number, negative number
| integer || natural number, negative number
|整数 ||
| 整数 ||  
|zhěng shù ||
| zhěng shù ||  
|Ganzzahl [f], ganze Zahl ||
| Ganzzahl [f], ganze Zahl ||  
|entier ||
| entier ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|inverse function, anti-function ||function (mathematics)
| inverse function, anti-function || function (mathematics)
|反函数 ||
| 反函数 ||  
|fǎn hánshù ||
| fǎn hánshù ||  
|Umkehrfunktion [f], inverse Funktion ||
| Umkehrfunktion [f], inverse Funktion ||  
|fonction [f] inverse ||
| fonction [f] inverse ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|irrational number ||rational number, real number
| irrational number || rational number, real number
|无理数 ||
| 无理数 ||  
|wúlǐ shù ||
| wúlǐ shù ||  
|irrationale Zahl ||
| irrationale Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|lattice multiplication ||multiplication
| lattice multiplication || multiplication
|格子乘法, 铺地锦算法 ||
| 格子乘法, 铺地锦算法 ||  
|gézi suànfǎ, pūdìjǐn suànfǎ ||
| gézi suànfǎ, pūdìjǐn suànfǎ ||  
|Gittermethode [f] ||
| Gittermethode [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|less than ||inequality (mathematics)
| less than || inequality (mathematics)
|小于 ||
| 小于 ||  
|xiǎo yú ||
| xiǎo yú ||  
|kleiner als ||
| kleiner als ||  
|inférieur à ||
| inférieur à ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|less than or equal to ||inequality (mathematics), equality
| less than or equal to || inequality (mathematics), equality
|小于等于 ||
| 小于等于 ||  
|xiǎoyú děngyú ||
| xiǎoyú děngyú ||  
|kleiner als oder gleich ||
| kleiner als oder gleich ||  
|inférieur ou égal à  ||
| inférieur ou égal à  ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|logarithm ||number, binary operation
| logarithm || number, binary operation
|对数 ||
| 对数 ||  
|duì shù ||
| duì shù ||  
|Logarithmus [m] ||
| Logarithmus [m] ||  
|logarithme [m] ||
| logarithme [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|long division ||division
| long division || division
|长除法 ||
| 长除法 ||  
|cháng chúfǎ ||
| cháng chúfǎ ||  
|Standardmethode [f] der schriftlichen Division ||
| Standardmethode [f] der schriftlichen Division ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|long multiplication ||multiplication
| long multiplication || multiplication
|长乘法 ||
| 长乘法 ||  
|cháng chéngfǎ ||
| cháng chéngfǎ ||  
|Standardmethode [f] der schriftlichen Multiplikation ||
| Standardmethode [f] der schriftlichen Multiplikation ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|minuend ||subtraction
| minuend || subtraction
|被减数 ||
| 被减数 ||  
|bèijiǎn shù ||
| bèijiǎn shù ||  
|Minuend [m] ||
| Minuend [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|minus sign ||subtraction, negative number
| minus sign || subtraction, negative number
|减号 ||
| 减号 ||  
|jiǎn hào ||
| jiǎn hào ||  
|Minuszeichen [n] ||
| Minuszeichen [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|mixed number ||fraction
| mixed number || fraction
|带分数 ||
| 带分数 ||  
|dài fēnshù ||
| dài fēnshù ||  
|gemischte Zahl ||
| gemischte Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|modular arithmetic ||integer
| modular arithmetic || integer
|模算术 ||
| 模算术 ||  
|mó suànshù ||
| mó suànshù ||  
|Modulararithmetik [f] ||
| Modulararithmetik [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|much greater than ||inequality (mathematics)
| much greater than || inequality (mathematics)
|远大于 ||
| 远大于 ||  
|yuǎn dàyú ||
| yuǎn dàyú ||  
|viel größer als ||
| viel größer als ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|much less than ||inequality (mathematics)
| much less than || inequality (mathematics)
|远小于 ||
| 远小于 ||  
|yuǎn xiǎoyú ||
| yuǎn xiǎoyú ||  
|viel weniger als ||
| viel weniger als ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|multiplicand ||multiplication, operand
| multiplicand || multiplication, operand
|被乘数 ||
| 被乘数 ||  
|bèichéng shù ||
| bèichéng shù ||  
|Multiplikand [m] ||
| Multiplikand [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|multiplication table ||multiplication
| multiplication table || multiplication
|乘法表 ||
| 乘法表 ||  
|chéngfǎ biǎo ||
| chéngfǎ biǎo ||  
|Einmaleins [n] ||
| Einmaleins [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|multiplier ||multiplication, operand
| multiplier || multiplication, operand
|乘数 ||
| 乘数 ||  
|chéng shù ||
| chéng shù ||  
|Multiplikator [m] ||
| Multiplikator [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|multiplication ||number, binary operation
| multiplication || number, binary operation
|乘法 ||
| 乘法 ||  
|chéng fǎ ||
| chéng fǎ ||  
|Multiplikation [f] ||
| Multiplikation [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|multiplicative inverse, reciprocal ||multiplication, reciprocation
| multiplicative inverse, reciprocal || multiplication, reciprocation
|乘法逆元, 倒数 ||
| 乘法逆元, 倒数 ||  
|chéngfǎ nìyuán, dào shù ||
| chéngfǎ nìyuán, dào shù ||  
|Kehrwert [m] ||
| Kehrwert [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|natural logarithm ||e (constant), logarithm
| natural logarithm || e (constant), logarithm
|自然对数 ||
| 自然对数 ||  
|zìrán duìshù ||
| zìrán duìshù ||  
|natürlicher Logarithmus ||
| natürlicher Logarithmus ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|Napier's rods, Napier's bones ||lattice multiplication
| Napier's rods, Napier's bones || lattice multiplication
|纳皮尔筹 ||
| 纳皮尔筹 ||  
|Nàpí'ěr chóu ||
| Nàpí'ěr chóu ||  
|Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen ||
| Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|natural number, counting number ||number
| natural number, counting number || number
|自然数 ||
| 自然数 ||  
|zìrán shù ||
| zìrán shù ||  
|natürliche Zahl ||
| natürliche Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|negative number ||number
| negative number || number
|负数 ||
| 负数 ||  
|fù shù ||
| fù shù ||  
|negative Zahl ||
| negative Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|nomogram, nomograph ||analog computer
| nomogram, nomograph || analog computer
|列线图, 诺谟图 ||
| 列线图, 诺谟图 ||  
|lièxiàn tú, nuòmò tú ||
| lièxiàn tú, nuòmò tú ||  
|Nomogramm [n], Nomographie [f] ||
| Nomogramm [n], Nomographie [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|notation (mathematics) ||numeral, symbol (mathematics)
| notation (mathematics) || numeral, symbol (mathematics)
|符号（数学） ||
| 符号（数学） ||  
|fúhào (shùxué) ||
| fúhào (shùxué) ||  
|Notation [f] (Mathematik) ||
| Notation [f] (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|non-negative number ||negative number
| non-negative number || negative number
|非负数 ||
| 非负数 ||  
|fēifù shù ||
| fēifù shù ||  
|nichtnegative Zahl ||
| nichtnegative Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|non-positive number ||positive number
| non-positive number || positive number
|非正数 ||
| 非正数 ||  
|fēizhèng shù ||
| fēizhèng shù ||  
|nichtpositive Zahl ||
| nichtpositive Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|nth root ||binary operation
| nth root || binary operation
|次方根 ||
| 次方根 ||  
|cìfāng gēn ||
| cìfāng gēn ||  
|Wurzel [f] (Mathematik), Radikal [n] (Mathematik) ||
| Wurzel [f] (Mathematik), Radikal [n] (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|numeral ||digit, symbol (mathematics)
| numeral || digit, symbol (mathematics)
|数字 ||
| 数字 ||  
|shù zì ||
| shù zì ||  
|Zahl [f], Ziffer [f] ||
| Zahl [f], Ziffer [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|number ||numeral, object (mathematics)
| number || numeral, object (mathematics)
|数字 ||
| 数字 ||  
|shù zì ||
| shù zì ||  
|Zahl [f] ||
| Zahl [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|number line ||line (geometry) <geometry>
| number line || line (geometry) <geometry>
|数轴, 数线 ||
| 数轴, 数线 ||  
|shù zhóu, shù xiàn ||
| shù zhóu, shù xiàn ||  
|Zahlengerade [f], Zahlenstrahl [m] ||
| Zahlengerade [f], Zahlenstrahl [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|numeral system ||notation (mathematics)
| numeral system || notation (mathematics)
|数制, 记数系统, 记数法 ||
| 数制, 记数系统, 记数法 ||  
|shù zhì, jìshù xìtǒng, jìshù fǎ ||
| shù zhì, jìshù xìtǒng, jìshù fǎ ||  
|Zahlensystem [n] ||
| Zahlensystem [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|numerator ||fraction, operand
| numerator || fraction, operand
|分子 ||
| 分子 ||  
|fēn zǐ ||
| fēn zǐ ||  
|Zähler [m] ||
| Zähler [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|object (mathematics) ||
| object (mathematics) ||  
|物体（数学） ||
| 物体（数学） ||  
|wù tǐ (shù xué) ||
| wù tǐ (shù xué) ||  
|Objekt [n] (Mathematik) ||
| Objekt [n] (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|octal, oct ||numeral system
| octal, oct || numeral system
|八进制 ||
| 八进制 ||  
|bā jìnzhì ||
| bā jìnzhì ||  
|Oktalsystem [n] ||
| Oktalsystem [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|odd number ||natural number, division
| odd number || natural number, division
|奇数 ||
| 奇数 ||  
|jī shù ||
| jī shù ||  
|ungerade Zahl ||
| ungerade Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|operand ||operation (mathematics)
| operand || operation (mathematics)
|运算数, 运算元 ||
| 运算数, 运算元 ||  
|yùnsuàn shù, yùnsuàn yuán ||
| yùnsuàn shù, yùnsuàn yuán ||  
|Operand [m] ||
| Operand [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|operation (mathematics) ||number
| operation (mathematics) || number
|运算 ||
| 运算 ||  
|yùnsuàn ||
| yùnsuàn ||  
|Verknüpfung (Mathematik) ||
| Verknüpfung (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|operator precedence, order of operations ||basic operations, exponentiation, root extraction
| operator precedence, order of operations || basic operations, exponentiation, root extraction
|运算次序, 运算顺序 ||
| 运算次序, 运算顺序 ||  
|yùnsuàn cìxù, yùnsuàn shùnxù ||
| yùnsuàn cìxù, yùnsuàn shùnxù ||  
|Operatorpräzedenz [f], Operatorrangfolge [f] ||
| Operatorpräzedenz [f], Operatorrangfolge [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|parity ||natural number
| parity || natural number
|奇偶性 ||
| 奇偶性 ||  
|jī'ǒu xìng ||
| jī'ǒu xìng ||  
|Parität [f] ||
| Parität [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle ||triangle <geometry>
| 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 ||
| 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 ||
| Yáng Huī sānjiǎoxíng, Jiǎ Xiàn sānjiǎoxíng, Pàsīkǎ sānjiǎoxíng, Hǎiyàmǔ sānjiǎoxíng ||  
|Pascal'sches Dreieck, Chayyām-Dreieck, Yang-Hui-Dreieck, Tartaglia-Dreieck ||
| Pascal'sches Dreieck, Chayyām-Dreieck, Yang-Hui-Dreieck, Tartaglia-Dreieck ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication ||multiplication
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication
|农夫算法 ||
| 农夫算法 ||  
|nóngfū suànfǎ ||
| nóngfū suànfǎ ||  
|russische Bauernmultiplikation ||
| russische Bauernmultiplikation ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|percentage ||fraction
| percentage || fraction
|百分数 ||
| 百分数 ||  
|bǎifēn shù ||
| bǎifēn shù ||  
|Prozentsatz [m] ||
| Prozentsatz [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|percent sign ||percentage
| percent sign || percentage
|百分号 ||
| 百分号 ||  
|bǎifēn hào ||
| bǎifēn hào ||  
|Prozentzeichen [n] ||
| Prozentzeichen [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|pi, Archimedes' constant ||constant (mathematics), ratio, circumstance <geometry>, diameter <geometry>
| pi, Archimedes' constant || constant (mathematics), ratio, circumstance <geometry>, diameter <geometry>
|圆周率 ||
| 圆周率 ||  
|yuánzhōu lǜ ||
| yuánzhōu lǜ ||  
|Pi [n], Kreiszahl [f] ||
| Pi [n], Kreiszahl [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|plus sign ||addition, positive number
| plus sign || addition, positive number
|加号 ||
| 加号 ||  
|jiā hào ||
| jiā hào ||  
|Pluszeichen [n] ||
| Pluszeichen [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|positional notation, place-value notation, positional numeral system ||numeral system
| positional notation, place-value notation, positional numeral system || numeral system
|进位制, 进位计数法, 位值计数法 ||
| 进位制, 进位计数法, 位值计数法 ||  
|jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ ||
| jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ ||  
|Stellenschreibweise [f] ||
| Stellenschreibweise [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|positive number ||number
| positive number || number
|正数 ||
| 正数 ||  
|zhèng shù ||
| zhèng shù ||  
|positive Zahl ||
| positive Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|prime number, prime ||product (mathematics), natural number
| prime number, prime || product (mathematics), natural number
|质数, 素数 ||
| 质数, 素数 ||  
|zhì shù, sù shù ||
| zhì shù, sù shù ||  
|Primzahl [f] ||
| Primzahl [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|product (mathematics) ||multiplication
| product (mathematics) || multiplication
|积 ||
| 积 ||  
|jī ||
| jī ||  
|Produkt [n] (Mathematik) ||
| Produkt [n] (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|proper fraction ||fraction
| proper fraction || fraction
|真分数 ||
| 真分数 ||  
|zhēn fēnshù ||
| zhēn fēnshù ||  
|echter Bruch, eigentlicher Bruch ||
| echter Bruch, eigentlicher Bruch ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|quotient ||division
| quotient || division
|商 ||
| 商 ||  
|shāng ||
| shāng ||  
|Quotient [f] ||
| Quotient [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|radix, base ||positional notation
| radix, base || positional notation
|底数（进制） ||
| 底数（进制） ||  
|dǐ shù (jìn zhì) ||
| dǐ shù (jìn zhì) ||  
|Basis [f] (Zahlensystem) ||
| Basis [f] (Zahlensystem) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|radix character ||radix
| radix character || radix
|小数点 ||
| 小数点 ||  
|xiǎoshù diǎn ||
| xiǎoshù diǎn ||  
|Radixpunkt [m] ||
| Radixpunkt [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|ratio ||number
| ratio || number
|比率, 比值 ||
| 比率, 比值 ||  
|bǐ lǜ, bǐ zhí ||
| bǐ lǜ, bǐ zhí ||  
|Verhältnis [n] ||
| Verhältnis [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|rational number ||fraction, integer
| rational number || fraction, integer
|有理数 ||
| 有理数 ||  
|yǒulǐ shù ||
| yǒulǐ shù ||  
|rationale Zahl ||
| rationale Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|real axis ||real line
| real axis || real line
|实轴 ||
| 实轴 ||  
|shí zhóu ||
| shí zhóu ||  
|reelle Achse ||
| reelle Achse ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|real line ||line (geometry) <geometry>, point (geometry) <geometry>, real number
| real line || line (geometry) <geometry>, point (geometry) <geometry>, real number
|实数线 ||
| 实数线 ||  
|shíshù xiàn ||
| shíshù xiàn ||  
|reelle Linie ||
| reelle Linie ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|real number ||rational number
| real number || rational number
|实数 ||
| 实数 ||  
|shí shù ||
| shí shù ||  
|reelle Zahl ||
| reelle Zahl ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|reciprocal function ||function, multiplicative inverse
| reciprocal function || function, multiplicative inverse
|互反函数 ||
| 互反函数 ||  
|hùfǎn hánshù ||
| hùfǎn hánshù ||  
|Reziprokfunktion [f], reziproke Funktion ||
| Reziprokfunktion [f], reziproke Funktion ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|remainder ||division with remainder
| remainder || division with remainder
|余数 ||
| 余数 ||  
|yú shù ||
| yú shù ||  
|Rest [m], Teilungsrest [m] ||
| Rest [m], Teilungsrest [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|root (mathematics) ||nth root
| root (mathematics) || nth root
|根 ||
| 根 ||  
|gēn ||
| gēn ||  
|Wurzel [f] ||
| Wurzel [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|root extraction ||nth root
| root extraction || nth root
|开方 ||
| 开方 ||  
|kāi fāng ||
| kāi fāng ||  
|Radizieren [n] ||
| Radizieren [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|rounding ||decimal representation
| rounding || decimal representation
|数值修约 ||
| 数值修约 ||  
|shùzhí xiūyuē ||
| shùzhí xiūyuē ||  
|Rundung [f], Runden [n] ||
| Rundung [f], Runden [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|round away from zero, round towards infinity ||rounding
| round away from zero, round towards infinity || rounding
|向无穷取整 ||
| 向无穷取整 ||  
|xiàng wúqióng qǔzhěng ||
| xiàng wúqióng qǔzhěng ||  
|von Null wegrunden ||
| von Null wegrunden ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|round down, round towards negative infinity ||rounding
| round down, round towards negative infinity || rounding
|向下取整 ||
| 向下取整 ||  
|xiàng xià qǔzhěng ||
| xiàng xià qǔzhěng ||  
|abrunden ||
| abrunden ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|round towards zero, round away from infinity ||rounding
| round towards zero, round away from infinity || rounding
|向零取整 ||
| 向零取整 ||  
|xiàng líng qǔzhěng ||
| xiàng líng qǔzhěng ||  
|gegen Null runden ||
| gegen Null runden ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|round up, round towards positive infinity ||rounding
| round up, round towards positive infinity || rounding
|向上取整 ||
| 向上取整 ||  
|xiàng shàng qǔzhěng ||
| xiàng shàng qǔzhěng ||  
|aufrunden ||
| aufrunden ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|parentheses ||operator precedence
| parentheses || operator precedence
|圆括号, 括弧号 ||
| 圆括号, 括弧号 ||  
|yuán kuòhào, kuòhú hào ||
| yuán kuòhào, kuòhú hào ||  
|runde Klammern [f pl] ||
| runde Klammern [f pl] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|simple fraction, common fraction, vulgar fraction ||fraction
| simple fraction, common fraction, vulgar fraction || fraction
|简分数 ||
| 简分数 ||  
|jiǎn fēnshù ||
| jiǎn fēnshù ||  
|gemeiner Bruch, gewöhnlicher Bruch ||
| gemeiner Bruch, gewöhnlicher Bruch ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|scientific notation ||significant figures
| scientific notation || significant figures
|科学计数法 ||
| 科学计数法 ||  
|kēxué jìshù fǎ ||
| kēxué jìshù fǎ ||  
|wissenschaftliche Notation [f] ||
| wissenschaftliche Notation [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|significant figures, significant digits ||rounding
| significant figures, significant digits || rounding
|有效数字, 有效数位 ||
| 有效数字, 有效数位 ||  
|yǒuxiào shùzì, yǒuxiào shùwèi ||
| yǒuxiào shùzì, yǒuxiào shùwèi ||  
|signifikante Stellen [f pl], signifikante Ziffern [f pl] ||
| signifikante Stellen [f pl], signifikante Ziffern [f pl] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|slide rule ||analog computer
| slide rule || analog computer
|计算尺 ||
| 计算尺 ||  
|jìsuàn chǐ ||
| jìsuàn chǐ ||  
|Rechenschieber [m], Rechenstab [m] ||
| Rechenschieber [m], Rechenstab [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|subtraction ||number, binary operation
| subtraction || number, binary operation
|减法 ||
| 减法 ||  
|jiǎn fǎ ||
| jiǎn fǎ ||  
|Subtraktion [f], Abziehen [n], Abzug [m] ||
| Subtraktion [f], Abziehen [n], Abzug [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|subtrahend ||subtraction
| subtrahend || subtraction
|被减数 ||
| 被减数 ||  
|bèijiǎn shù ||
| bèijiǎn shù ||  
|Subtrahend [m] ||
| Subtrahend [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|sum ||addition
| sum || addition
|和 ||
| 和 ||  
|hé ||
| hé ||  
|Summe [f] ||
| Summe [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|symbol (mathematics) ||
| symbol (mathematics) ||  
|符号（数学） ||
| 符号（数学） ||  
|fúhào (shù xué) ||
| fúhào (shù xué) ||  
|Symbol [n] (Mathematik) ||
| Symbol [n] (Mathematik) ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|tally marks, hash marks ||unary system, addition
| tally marks, hash marks || unary system, addition
|计数符号 ||
| 计数符号 ||  
|jìshù fúhào ||
| jìshù fúhào ||  
|Strichliste [f] ||
| Strichliste [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|Trachtenberg system ||multiplication
| Trachtenberg system || multiplication
|特拉亨伯格速算系統 ||
| 特拉亨伯格速算系統 ||  
|Tèlāhēngbégé sùsuàn xìtǒng ||
| Tèlāhēngbégé sùsuàn xìtǒng ||  
|Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] ||
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|unary system ||numeral system
| unary system || numeral system
|一进制 ||
| 一进制 ||  
|yī jìnzhì ||
| yī jìnzhì ||  
|Unärsystem [n] ||
| Unärsystem [n] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|unit fraction ||fraction
| unit fraction || fraction
|单位分数 ||
| 单位分数 ||  
|dānwèi fēnshù ||
| dānwèi fēnshù ||  
|Stammbruch [m] ||
| Stammbruch [m] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic
| unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic
|prime number
| prime number
|正整数的唯一分解定理, 算术基本定理 ||
| 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 ||
| zhèng zhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ ||  
|Fundamentalsatz [m] der Arithmetik ||
| Fundamentalsatz [m] der Arithmetik ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|-
|-
|zero ||number
| zero || number
|零 ||
| 零 ||  
|líng ||
| líng ||  
|Null [f] ||
| Null [f] ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
| ||
| ||  
|}
|}


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


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


Line 1,392: Line 1,392:
== * Related Free Educational Resources ==
== * Related Free Educational Resources ==
{| class="wikitable"
{| class="wikitable"
!branch
! branch
!name
! name
!link
! link
!language
! language
!public license
! public license
|-
|-
|Arithmetic
| Arithmetic
|Arithmetic Game
| Arithmetic Game
|https://arithmetic.zetamac.com/
| https://arithmetic.zetamac.com/
|English
| English
| -
| -
|-
|-
|Arithmetic
| Arithmetic
|gbrainy
| gbrainy
|https://wiki.gnome.org/Apps/gbrainy
| https://wiki.gnome.org/Apps/gbrainy
|English
| English
|GNU GPLv2
| GNU GPLv2
|-
|-
|Arithmetic
| Arithmetic
|Number Empire
| Number Empire
|https://www.numberempire.com/
| https://www.numberempire.com/
|Chinese, Dutch, English, French, German, Italian, Japanese, Korean, Polish, Portuguese, Russian, Spanish
| Chinese, Dutch, English, French, German, Italian, Japanese, Korean, Polish, Portuguese, Russian, Spanish
| -
| -
|-
|-
|Arithmetic
| Arithmetic
|Wolfram<nowiki>|</nowiki>Alpha
| Wolfram<nowiki>|</nowiki>Alpha
|https://www.wolframalpha.com/
| https://www.wolframalpha.com/
|English, Japanese
| English, Japanese
| -
| -
|}
|}


== <div style="color:#ffad00; font-weight:bold;">-- AUTHOR --</div> ==
== <div style="color:#ffad00; font-weight:bold;">-- AUTHOR --</div> ==
[https://polyglotclub.com/member/GrimPixel GrimPixel]
[https://polyglotclub.com/member/GrimPixel GrimPixel]

Revision as of 18:50, 5 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: 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
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]
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 equality 等号 děng hào Gleichheitszeichen [n], Ist-gleich-Zeichen [n] signe [m] égal
equality 相等 xiāng děng Gleichheit [f] (Mathematik) égalité [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
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: 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

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: 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

2341px-Sierpinski Pascal triangle.svg.png

* 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 -

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