Difference between revisions of "Language/Multiple-languages/Vocabulary/Mathematical-Analysis"

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Line 10: Line 10:
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| mathematical analysis ||
| 数学分析 ||
| shùxué fēnxî ||
| Analysis [f] ||
| analyse [f] ||
| 解析学 ||
| か↑いせき↓がく ||
| ана́лиз [м] ||
|-
|-
|  ||  
|  ||  
Line 29: Line 20:
|  ||  
|  ||  
|-
|-
| calculus ||
| 微积分学 ||  
| 微积分学 ||  
| wēijīfēn xué ||  
| wēijīfēn xué ||  
| Infinitesimalrechnung [f] ||  
| Infinitesimalrechnung [f] ||  
| calcul [m] infinitésimal ||  
| calcul infinitésimal ||
| calculus ||  
| 微分積分学 ||  
| 微分積分学 ||  
| び↑ぶんせきぶ↓んがく ||  
| び↑ぶんせきぶ↓んがく ||  
| математи́ческий ана́лиз ||  
| математи́ческий ана́лиз ||  
|-
|-
| vector calculus, vector analysis ||
| 向量分析，向量微积分 ||  
| 向量分析，向量微积分 ||  
| xiàngliàn fēnxī, xiàngliàng wēijīfēn ||  
| xiàngliàn fēnxī, xiàngliàng wēijīfēn ||  
| Vektoranalysis [f] ||  
| Vektoranalysis [f] ||  
| analyse [f] vectorielle ||  
| vector calculus, vector analysis ||
| analyse vectorielle ||  
| ベクトル解析 ||  
| ベクトル解析 ||  
| ベ↑クトルか↓いせき ||  
| ベ↑クトルか↓いせき ||  
| ве́кторный ана́лиз ||  
| ве́кторный ана́лиз ||  
|-
|-
| multivariable calculus, multivariate calculus ||
| 多元微积分，多变量微积分 ||  
| 多元微积分，多变量微积分 ||  
| duōyuán wēijīfēn, duō biànliàng wēijīfēn ||  
| duōyuán wēijīfēn, duō biànliàng wēijīfēn ||  
| multivariable Infinitesimalrechnung ||  
| multivariable Infinitesimalrechnung ||  
| multivariable calculus, multivariate calculus ||
| calcul [m] à plusieurs variables ||  
| calcul [m] à plusieurs variables ||  
| 多変数微分積分学, 多変数解析学 ||  
| 多変数微分積分学, 多変数解析学 ||  
Line 56: Line 47:
| многоме́рный ана́лиз ||  
| многоме́рный ана́лиз ||  
|-
|-
| real analysis ||
| 实分析，实数分析，实变函数论 ||  
| 实分析，实数分析，实变函数论 ||  
| shí fēnxī, shíshù fēnxī, shí biàn hánshù lùn ||  
| shí fēnxī, shíshù fēnxī, shí biàn hánshù lùn ||  
| reelle Analysis ||  
| reelle Analysis ||  
| analyse [f] réelle ||  
| analyse réelle ||
| real analysis ||  
| 実解析, 実関数論 ||  
| 実解析, 実関数論 ||  
| じ↑つか↓いせき, じ↑つかんすうろ↓ん ||  
| じ↑つか↓いせき, じ↑つかんすうろ↓ん ||  
| тео́рия фу́нкций веще́ственной переме́нной, тео́рия фу́нкций действи́тельного переме́нного ||  
| тео́рия фу́нкций веще́ственной переме́нной, тео́рия фу́нкций действи́тельного переме́нного ||  
|-
|-
| complex analysis ||
| 复分析 ||  
| 复分析 ||  
| fù fēnxī ||  
| fù fēnxī ||  
| Funktionentheorie [f] ||  
| Funktionentheorie [f] ||  
| complex analysis ||
| analyse [f] complexe ||  
| analyse [f] complexe ||  
| 複素解析 ||  
| 複素解析 ||  
Line 74: Line 65:
| ко́мпле́ксный ана́лиз, тео́рия фу́нкций ко́мпле́ксного переме́нного, тео́рия фу́нкций ко́мпле́ксной переме́нной ||  
| ко́мпле́ксный ана́лиз, тео́рия фу́нкций ко́мпле́ксного переме́нного, тео́рия фу́нкций ко́мпле́ксной переме́нной ||  
|-
|-
| functional analysis ||
| 泛函分析 ||  
| 泛函分析 ||  
| fànhán fēnxī ||  
| fànhán fēnxī ||  
| Funktionalanalysis [f] ||  
| Funktionalanalysis [f] ||  
| analyse [f] fonctionnelle ||  
| functional analysis ||
| analyse fonctionnelle ||  
| 関数解析学 ||  
| 関数解析学 ||  
| か↑んす↓うか↑いせき↓がく ||  
| か↑んす↓うか↑いせき↓がく ||  
| функциона́льный ана́лиз ||  
| функциона́льный ана́лиз ||  
|-
|-
| Fourier analysis ||
| 傅里叶分析 ||  
| 傅里叶分析 ||  
| Fùlǐyè fēnxī ||  
| Fùlǐyè fēnxī ||  
| Fourier-Analysis [f], Fourier-Analyse [f] ||  
| Fourier-Analysis [f], Fourier-Analyse [f] ||  
| Fourier analysis ||
| analyse [f] de Fourier ||  
| analyse [f] de Fourier ||  
| フーリエ解析 ||  
| フーリエ解析 ||  
Line 92: Line 83:
| ана́лиз Фурье́ ||  
| ана́лиз Фурье́ ||  
|-
|-
| harmonic analysis ||
| 调和分析，谐波分析 ||  
| 调和分析，谐波分析 ||  
| tiáohé fēnxī, xiébō fēnxī ||  
| tiáohé fēnxī, xiébō fēnxī ||  
| harmonische Analyse, harmonische Analysis ||  
| harmonische Analyse, harmonische Analysis ||  
| harmonic analysis ||
| analyse [f] harmonique ||  
| analyse [f] harmonique ||  
| 調和解析 ||  
| 調和解析 ||  
Line 114: Line 105:
=== Calculus ===
=== Calculus ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 132: Line 123:
|  ||  
|  ||  
|-
|-
| backward difference || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| backward difference || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| central difference || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| central difference || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
Line 150: Line 141:
|  ||  
|  ||  
|-
|-
| continuous function || argument <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| continuous function || argument <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 159: Line 150:
|  ||  
|  ||  
|-
|-
| definite integral || second fundamental theorem of calculus
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| definite integral || second fundamental theorem of calculus
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| derivative || function of a real variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| derivative || function of a real variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| difference quotient || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| difference quotient || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| differentiable function || derivative; domain <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| differentiable function || derivative; domain <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 195: Line 186:
|  ||  
|  ||  
|-
|-
| differentiation || derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| differentiation || derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 204: Line 195:
|  ||  
|  ||  
|-
|-
| discontinuous function || argument <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| discontinuous function || argument <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 213: Line 204:
|  ||  
|  ||  
|-
|-
| finite difference || function <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| finite difference || function <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 222: Line 213:
|  ||  
|  ||  
|-
|-
| forward difference || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| forward difference || finite difference
|  ||  
|  ||  
|  ||  
|  ||  
Line 231: Line 222:
|  ||  
|  ||  
|-
|-
| indefinite integral || integral; antiderivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| indefinite integral || integral; antiderivative
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| indeterminate form || infinity <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| indeterminate form || infinity <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| infinitesimal, infinitesimal number || real number
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| infinitesimal, infinitesimal number || real number
|  ||  
|  ||  
|  ||  
|  ||  
Line 258: Line 249:
|  ||  
|  ||  
|-
|-
| integral || infinitesimal
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| integral || infinitesimal
|  ||  
|  ||  
|  ||  
|  ||  
Line 267: Line 258:
|  ||  
|  ||  
|-
|-
| Leibniz integral rule || partial derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Leibniz integral rule || partial derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 276: Line 267:
|  ||  
|  ||  
|-
|-
| limit || function; sequence
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| limit || function; sequence
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| linear approximation || affine transformation <geometry>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| linear approximation || affine transformation <geometry>
|  ||  
|  ||  
|  ||  
|  ||  
Line 294: Line 285:
|  ||  
|  ||  
|-
|-
| Lipschitz continuity || uniform continuity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Lipschitz continuity || uniform continuity
|  ||  
|  ||  
|  ||  
|  ||  
Line 303: Line 294:
|  ||  
|  ||  
|-
|-
| maximum [pl:maxima] || function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| maximum [pl:maxima] || function
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| minimum [pl:minima] || function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| minimum [pl:minima] || function
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| multiple integral || definite integral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| multiple integral || definite integral
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| partial derivative || derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| partial derivative || derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 339: Line 330:
|  ||  
|  ||  
|-
|-
| second derivative, second order derivative || derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| second derivative, second order derivative || derivative
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| stationary point || differentiable function; derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| stationary point || differentiable function; derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 357: Line 348:
|  ||  
|  ||  
|-
|-
| Taylor polynomial || Taylor's theorem
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
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| Taylor polynomial || Taylor's theorem
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| total derivative ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| total derivative ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 387: Line 378:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ differential equation
|+ differential equation
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 396: Line 387:
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| differential equation ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| differential equation ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 414: Line 405:
|  ||  
|  ||  
|-
|-
| delay differential equations || derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| delay differential equations || derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 423: Line 414:
|  ||  
|  ||  
|-
|-
| differential-algebraic system of equations ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| differential-algebraic system of equations ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 432: Line 423:
|  ||  
|  ||  
|-
|-
| integro-differential equation || integral; derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| integro-differential equation || integral; derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 441: Line 432:
|  ||  
|  ||  
|-
|-
| ordinary differential equation || derivative; independent variable
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ordinary differential equation || derivative; independent variable
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| partial differential equation || partial derivative; multivariable function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| partial differential equation || partial derivative; multivariable function
|  ||  
|  ||  
|  ||  
|  ||  
Line 459: Line 450:
|  ||  
|  ||  
|-
|-
| stochastic differential equation || stochastic process <probability theory>; differential equation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| stochastic differential equation || stochastic process <probability theory>; differential equation
|  ||  
|  ||  
|  ||  
|  ||  
Line 468: Line 459:
|  ||  
|  ||  
|-
|-
| stochastic partial differential equation || stochastic process <probability theory>; partial differential equation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| stochastic partial differential equation || stochastic process <probability theory>; partial differential equation
|  ||  
|  ||  
|  ||  
|  ||  
Line 489: Line 480:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ differentiation rule
|+ differentiation rule
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 498: Line 489:
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| differentiation rule ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| differentiation rule ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 516: Line 507:
|  ||  
|  ||  
|-
|-
| chain rule || function composition; differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| chain rule || function composition; differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
Line 525: Line 516:
|  ||  
|  ||  
|-
|-
| general Leibniz rule || product rule
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| general Leibniz rule || product rule
|  ||  
|  ||  
|  ||  
|  ||  
Line 534: Line 525:
|  ||  
|  ||  
|-
|-
| inverse function rule || differentiable function; inverse function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse function rule || differentiable function; inverse function
|  ||  
|  ||  
|  ||  
|  ||  
Line 543: Line 534:
|  ||  
|  ||  
|-
|-
| power rule || differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| power rule || differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
Line 552: Line 543:
|  ||  
|  ||  
|-
|-
| product rule, Leibniz rule || differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| product rule, Leibniz rule || differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
Line 561: Line 552:
|  ||  
|  ||  
|-
|-
| quotient rule || differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quotient rule || differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
Line 570: Line 561:
|  ||  
|  ||  
|-
|-
| reciprocal rule || multiplicative inverse; differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reciprocal rule || multiplicative inverse; differentiable function
|  ||  
|  ||  
|  ||  
|  ||  
Line 600: Line 591:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ extremum
|+ extremum
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
| extremum [pl:extrema] || function <mathematical logic>
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extremum [pl:extrema] || function <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 617: Line 609:
|  ||  
|  ||  
|-
|-
| absolute maximum, global maximum || maximum; domain <set theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| absolute maximum, global maximum || maximum; domain <set theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 626: Line 618:
|  ||  
|  ||  
|-
|-
| absolute minimum, global minimum || minimum; domain <set theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| absolute minimum, global minimum || minimum; domain <set theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 635: Line 627:
|  ||  
|  ||  
|-
|-
| relative maximum, local maximum || maximum; interval <topology>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| relative maximum, local maximum || maximum; interval <topology>
|  ||  
|  ||  
|  ||  
|  ||  
Line 644: Line 636:
|  ||  
|  ||  
|-
|-
| relative minimum, local minimum || minimum; interval <topology>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| relative minimum, local minimum || minimum; interval <topology>
|  ||  
|  ||  
|  ||  
|  ||  
Line 665: Line 657:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ integral transform
|+ integral transform
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
| integral transform ||
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| integral transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 691: Line 684:
|  ||  
|  ||  
|-
|-
| Abel transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Abel transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 700: Line 693:
|  ||  
|  ||  
|-
|-
| associated Legendre transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| associated Legendre transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 709: Line 702:
|  ||  
|  ||  
|-
|-
| Fourier cosine transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Fourier cosine transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 718: Line 711:
|  ||  
|  ||  
|-
|-
| Fourier sine transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Fourier sine transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 727: Line 720:
|  ||  
|  ||  
|-
|-
| Fourier transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Fourier transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 736: Line 729:
|  ||  
|  ||  
|-
|-
| Hankel transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Hankel transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 745: Line 738:
|  ||  
|  ||  
|-
|-
| Hartley transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Hartley transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 754: Line 747:
|  ||  
|  ||  
|-
|-
| Hermite transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Hermite transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 763: Line 756:
|  ||  
|  ||  
|-
|-
| Hilbert transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Hilbert transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 772: Line 765:
|  ||  
|  ||  
|-
|-
| Jacobi transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Jacobi transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 781: Line 774:
|  ||  
|  ||  
|-
|-
| Laguerre transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Laguerre transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 790: Line 783:
|  ||  
|  ||  
|-
|-
| Laplace transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Laplace transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 799: Line 792:
|  ||  
|  ||  
|-
|-
| Legendre transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Legendre transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 808: Line 801:
|  ||  
|  ||  
|-
|-
| Mellin transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Mellin transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 817: Line 810:
|  ||  
|  ||  
|-
|-
| Poisson kernel ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Poisson kernel ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 826: Line 819:
|  ||  
|  ||  
|-
|-
| Radon transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Radon transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 835: Line 828:
|  ||  
|  ||  
|-
|-
| two-sided Laplace transform, bilateral Laplace transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| two-sided Laplace transform, bilateral Laplace transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 844: Line 837:
|  ||  
|  ||  
|-
|-
| Weierstrass transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Weierstrass transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 853: Line 846:
|  ||  
|  ||  
|-
|-
| X-ray transform, John transform ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| X-ray transform, John transform ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 874: Line 867:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ notation for differentiation
|+ notation for differentiation
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
| notation for differentiation ||
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| notation for differentiation ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 900: Line 894:
|  ||  
|  ||  
|-
|-
| Euler's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Euler's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
Line 909: Line 903:
|  ||  
|  ||  
|-
|-
| Lagrange's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Lagrange's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
Line 918: Line 912:
|  ||  
|  ||  
|-
|-
| Leibniz's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Leibniz's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
Line 927: Line 921:
|  ||  
|  ||  
|-
|-
| Newton's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Newton's notation || differentiation
|  ||  
|  ||  
|  ||  
|  ||  
Line 948: Line 942:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ series
|+ series
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 957: Line 951:
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| series || addition <number theory>; infinity <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| series || addition <number theory>; infinity <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 975: Line 969:
|  ||  
|  ||  
|-
|-
| alternating series || series
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| alternating series || series
|  ||  
|  ||  
|  ||  
|  ||  
Line 984: Line 978:
|  ||  
|  ||  
|-
|-
| convergent series || limit
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| convergent series || limit
|  ||  
|  ||  
|  ||  
|  ||  
Line 993: Line 987:
|  ||  
|  ||  
|-
|-
| divergent series || limit
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| divergent series || limit
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,002: Line 996:
|  ||  
|  ||  
|-
|-
| Fourier series || series; periodic function; sine wave <trigonometry>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Fourier series || series; periodic function; sine wave <trigonometry>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,011: Line 1,005:
|  ||  
|  ||  
|-
|-
| geometric series || series; ratio
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| geometric series || series; ratio
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,020: Line 1,014:
|  ||  
|  ||  
|-
|-
| Gregory's series || Taylor series; inverse trigonometric functions <trigonometry>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Gregory's series || Taylor series; inverse trigonometric functions <trigonometry>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,029: Line 1,023:
|  ||  
|  ||  
|-
|-
| harmonic series || series
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| harmonic series || series
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,038: Line 1,032:
|  ||  
|  ||  
|-
|-
| partial sum || series; sum <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| partial sum || series; sum <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,047: Line 1,041:
|  ||  
|  ||  
|-
|-
| Taylor series || series; derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Taylor series || series; derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,056: Line 1,050:
|  ||  
|  ||  
|-
|-
| telescoping series || series
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| telescoping series || series
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,078: Line 1,072:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ theorem in calculus
|+ theorem in calculus
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,087: Line 1,081:
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| theorem in calculus ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| theorem in calculus ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,105: Line 1,099:
|  ||  
|  ||  
|-
|-
| extreme value theorem || continuous function; maximum; minimum
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extreme value theorem || continuous function; maximum; minimum
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,114: Line 1,108:
|  ||  
|  ||  
|-
|-
| first fundamental theorem of calculus || continuous function; closed interval <topology>; antiderivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| first fundamental theorem of calculus || continuous function; closed interval <topology>; antiderivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,123: Line 1,117:
|  ||  
|  ||  
|-
|-
| L'Hôpital's rule || limit; indeterminate form
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| L'Hôpital's rule || limit; indeterminate form
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,132: Line 1,126:
|  ||  
|  ||  
|-
|-
| Rolle's theorem, Rolle's lemma || stationary point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Rolle's theorem, Rolle's lemma || stationary point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,141: Line 1,135:
|  ||  
|  ||  
|-
|-
| second fundamental theorem of calculus || interval <algebra>; antiderivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| second fundamental theorem of calculus || interval <algebra>; antiderivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,150: Line 1,144:
|  ||  
|  ||  
|-
|-
| Taylor's theorem || differentiable function; linear appriximation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Taylor's theorem || differentiable function; linear appriximation
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,171: Line 1,165:
==== Vector Calculus ====
==== Vector Calculus ====
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,201: Line 1,195:
==== Multivariable Calculus ====
==== Multivariable Calculus ====
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,219: Line 1,213:
|  ||  
|  ||  
|-
|-
| differential operator || operator <algebra>; differentiation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| differential operator || operator <algebra>; differentiation
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,228: Line 1,222:
|  ||  
|  ||  
|-
|-
| triple product rule, cyclic chain rule, cyclic relation, cyclical rule, Euler's chain rule || partial derivative
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triple product rule, cyclic chain rule, cyclic relation, cyclical rule, Euler's chain rule || partial derivative
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,249: Line 1,243:
=== Real Analysis ===
=== Real Analysis ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,279: Line 1,273:
=== Complex Analysis ===
=== Complex Analysis ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,297: Line 1,291:
|  ||  
|  ||  
|-
|-
| complex plane || Cartesian coordinate system <geometry>; complex number <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| complex plane || Cartesian coordinate system <geometry>; complex number <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,306: Line 1,300:
|  ||  
|  ||  
|-
|-
| imaginary axis || imaginary line
| 虚轴 ||  
| 虚轴 ||  
| xū zhóu ||  
| xū zhóu ||  
| imaginäre Achse ||  
| imaginäre Achse ||  
| imaginary axis || imaginary line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,315: Line 1,309:
|  ||  
|  ||  
|-
|-
| imaginary line || line <geometry>; point <geometry>; imaginary number <arithmetic>
| 虚数线 ||  
| 虚数线 ||  
| xūshù xiàn ||  
| xūshù xiàn ||  
| imaginäre Linie ||  
| imaginäre Linie ||  
| imaginary line || line <geometry>; point <geometry>; imaginary number <arithmetic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,324: Line 1,318:
|  ||  
|  ||  
|-
|-
| real axis || real line
| 实轴 ||  
| 实轴 ||  
| shí zhóu ||  
| shí zhóu ||  
| reelle Achse ||  
| reelle Achse ||  
| real axis || real line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,333: Line 1,327:
|  ||  
|  ||  
|-
|-
| real line || line <geometry>; point <geometry>; real number <arithmetic>
| 实数线 ||  
| 实数线 ||  
| shíshù xiàn ||  
| shíshù xiàn ||  
| reelle Linie ||  
| reelle Linie ||  
| real line || line <geometry>; point <geometry>; real number <arithmetic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,354: Line 1,348:
=== Functional Analysis ===
=== Functional Analysis ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,384: Line 1,378:
=== Numerical Analysis ===
=== Numerical Analysis ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,402: Line 1,396:
|  ||  
|  ||  
|-
|-
| truncation error ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| truncation error ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,423: Line 1,417:
=== Fourier Analysis ===
=== Fourier Analysis ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,453: Line 1,447:
=== Harmonic Analysis ===
=== Harmonic Analysis ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,484: Line 1,478:
=== Sentence ===
=== Sentence ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 语句 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: yǔjù !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Satz [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: sentence !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: phrase [f] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 文章 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: ぶ​↑んしょ↓う !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: фра́за !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
Line 1,515: Line 1,509:
{| class="wikitable sortable"
{| class="wikitable sortable"
! symbol
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! deu-Latn-DE: Begriff [m]
! eng-Latn-US: concept
! fra-Latn-FR: concept [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Jpan-JP: 概念
Line 1,547: Line 1,541:
=== Process ===
=== Process ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! eng-Latn-US: process !! eng-Latn-US: constituent
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材

Revision as of 08:19, 26 March 2022

Hello polyglots, 😀

On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

eng-Latn-US: concept eng-Latn-US: prerequaisite cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
微积分学 wēijīfēn xué Infinitesimalrechnung [f] calcul infinitésimal calculus 微分積分学 び↑ぶんせきぶ↓んがく математи́ческий ана́лиз
向量分析，向量微积分 xiàngliàn fēnxī, xiàngliàng wēijīfēn Vektoranalysis [f] vector calculus, vector analysis analyse vectorielle ベクトル解析 ベ↑クトルか↓いせき ве́кторный ана́лиз
多元微积分，多变量微积分 duōyuán wēijīfēn, duō biànliàng wēijīfēn multivariable Infinitesimalrechnung multivariable calculus, multivariate calculus calcul [m] à plusieurs variables 多変数微分積分学, 多変数解析学 た↑へ↓んすうび↑ぶんせきぶ↓んがく, た↑へ↓んすうか↑いせき↓がく многоме́рный ана́лиз
实分析，实数分析，实变函数论 shí fēnxī, shíshù fēnxī, shí biàn hánshù lùn reelle Analysis analyse réelle real analysis 実解析, 実関数論 じ↑つか↓いせき, じ↑つかんすうろ↓ん тео́рия фу́нкций веще́ственной переме́нной, тео́рия фу́нкций действи́тельного переме́нного
复分析 fù fēnxī Funktionentheorie [f] complex analysis analyse [f] complexe 複素解析 ふ↑くそか↓いせき ко́мпле́ксный ана́лиз, тео́рия фу́нкций ко́мпле́ксного переме́нного, тео́рия фу́нкций ко́мпле́ксной переме́нной
泛函分析 fànhán fēnxī Funktionalanalysis [f] functional analysis analyse fonctionnelle 関数解析学 か↑んす↓うか↑いせき↓がく функциона́льный ана́лиз
傅里叶分析 Fùlǐyè fēnxī Fourier-Analysis [f], Fourier-Analyse [f] Fourier analysis analyse [f] de Fourier フーリエ解析 フ↓ーリエかいせき ана́лиз Фурье́
调和分析，谐波分析 tiáohé fēnxī, xiébō fēnxī harmonische Analyse, harmonische Analysis harmonic analysis analyse [f] harmonique 調和解析 ちょ↑うわか↓いせき гармони́ческий ана́лиз

Main

Calculus

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
backward difference finite difference
central difference finite difference
continuous function argument <mathematical logic>
definite integral second fundamental theorem of calculus
derivative function of a real variable <algebra>
difference quotient finite difference
differentiable function derivative; domain <mathematical logic>
differentiation derivative
discontinuous function argument <mathematical logic>
finite difference function <mathematical logic>
forward difference finite difference
indefinite integral integral; antiderivative
indeterminate form infinity <number theory>
infinitesimal, infinitesimal number real number
integral infinitesimal
Leibniz integral rule partial derivative
limit function; sequence
linear approximation affine transformation <geometry>
Lipschitz continuity uniform continuity
maximum [pl:maxima] function
minimum [pl:minima] function
multiple integral definite integral
partial derivative derivative
second derivative, second order derivative derivative
stationary point differentiable function; derivative
Taylor polynomial Taylor's theorem
total derivative
differential equation
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
differential equation
delay differential equations derivative
differential-algebraic system of equations
integro-differential equation integral; derivative
ordinary differential equation derivative; independent variable
partial differential equation partial derivative; multivariable function
stochastic differential equation stochastic process <probability theory>; differential equation
stochastic partial differential equation stochastic process <probability theory>; partial differential equation
differentiation rule
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
differentiation rule
chain rule function composition; differentiable function
general Leibniz rule product rule
inverse function rule differentiable function; inverse function
power rule differentiable function
product rule, Leibniz rule differentiable function
quotient rule differentiable function
reciprocal rule multiplicative inverse; differentiable function
extremum
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
extremum [pl:extrema] function <mathematical logic>
absolute maximum, global maximum maximum; domain <set theory>
absolute minimum, global minimum minimum; domain <set theory>
relative maximum, local maximum maximum; interval <topology>
relative minimum, local minimum minimum; interval <topology>
integral transform
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
integral transform
Abel transform
associated Legendre transform
Fourier cosine transform
Fourier sine transform
Fourier transform
Hankel transform
Hartley transform
Hermite transform
Hilbert transform
Jacobi transform
Laguerre transform
Laplace transform
Legendre transform
Mellin transform
Poisson kernel
Radon transform
two-sided Laplace transform, bilateral Laplace transform
Weierstrass transform
X-ray transform, John transform
notation for differentiation
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
notation for differentiation
Euler's notation differentiation
Lagrange's notation differentiation
Leibniz's notation differentiation
Newton's notation differentiation
series
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
series addition <number theory>; infinity <number theory>
alternating series series
convergent series limit
divergent series limit
Fourier series series; periodic function; sine wave <trigonometry>
geometric series series; ratio
Gregory's series Taylor series; inverse trigonometric functions <trigonometry>
harmonic series series
partial sum series; sum <number theory>
Taylor series series; derivative
telescoping series series
theorem in calculus
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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
theorem in calculus
extreme value theorem continuous function; maximum; minimum
first fundamental theorem of calculus continuous function; closed interval <topology>; antiderivative
L'Hôpital's rule limit; indeterminate form
Rolle's theorem, Rolle's lemma stationary point
second fundamental theorem of calculus interval <algebra>; antiderivative
Taylor's theorem differentiable function; linear appriximation

Vector Calculus

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Multivariable Calculus

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
differential operator operator <algebra>; differentiation
triple product rule, cyclic chain rule, cyclic relation, cyclical rule, Euler's chain rule partial derivative

Real Analysis

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Complex Analysis

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
complex plane Cartesian coordinate system <geometry>; complex number <number theory>
虚轴 xū zhóu imaginäre Achse imaginary axis imaginary line
虚数线 xūshù xiàn imaginäre Linie imaginary line line <geometry>; point <geometry>; imaginary number <arithmetic>
实轴 shí zhóu reelle Achse real axis real line
实数线 shíshù xiàn reelle Linie real line line <geometry>; point <geometry>; real number <arithmetic>

Functional Analysis

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Numerical Analysis

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
truncation error

Fourier Analysis

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Harmonic Analysis

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] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Appendix

Sentence

cmn-Hans-CN: 语句 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: yǔjù cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Satz [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: sentence eng-Latn-US: prerequisite fra-Latn-FR: phrase [f] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 文章 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: ぶ​↑んしょ↓う jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: фра́за rus-Cyrl-RU: предпосы́лка

Symbol

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

Process

cmn-Hans-CN: 过程 cmn-Hans-CN: 构件 cmn-Latn.Pinyin-CN: guòchéng cmn-Latn.Pinyin-CN: gòujiàn deu-Latn-DE: Prozess [m] deu-Latn-DE: Bestandteil [m] eng-Latn-US: process eng-Latn-US: constituent fra-Latn-FR: procès [m] fra-Latn-FR: composant [m] jpn-Jpan-JP: 過程 jpn-Jpan-JP: 構材 jpn-Hrkt-JP: か↑てい jpn-Hrkt-JP: こ↑うざい rus-Cyrl-RU: проце́сс rus-Cyrl-RU: соста́вная часть

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LeibnizInfinitesimalTriangle.png

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