This is a part of the Sci–Tech Index, a project for science and technology learners.
In progress.
| eng-Latn-US: concept |
eng-Latn-US: prerequaisite
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cmn-Hans-CN: 概念 |
cmn-Hans-CN: 前提
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cmn-Latn.Pinyin-CN: gàiniàn |
cmn-Latn.Pinyin-CN: qiántí
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deu-Latn-DE: Begriff [m] |
deu-Latn-DE: Voraussetzung [f]
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fra-Latn-FR: concept [m] |
fra-Latn-FR: préalable [m]
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jpn-Jpan-JP: 概念 |
jpn-Jpan-JP: 前提
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jpn-Hrkt-JP: が↓いねん |
jpn-Hrkt-JP: ぜ↑んてい
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rus-Cyrl-RU: конце́пция |
rus-Cyrl-RU: предпосы́лка
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| mathematical analysis |
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数学分析 |
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shùxué fēnxî |
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Analysis [f] |
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analyse [f] |
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解析学 |
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か↑いせき↓がく |
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ана́лиз [м] |
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| calculus [pl:calculi] |
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微积分学 |
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wēijīfēn xué |
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Infinitesimalrechnung [f] |
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calcul [m] infinitésimal |
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微分積分学 |
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び↑ぶんせきぶ↓んがく |
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математи́ческий ана́лиз |
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| vector calculus, vector analysis |
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向量分析，向量微积分 |
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xiàngliàn fēnxī, xiàngliàng wēijīfēn |
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Vektoranalysis [f] |
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analyse [f] vectorielle |
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ベクトル解析 |
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ベ↑クトルか↓いせき |
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ве́кторный ана́лиз |
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| multivariable calculus, multivariate calculus |
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多元微积分，多变量微积分 |
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duōyuán wēijīfēn, duō biànliàng wēijīfēn |
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multivariable Infinitesimalrechnung |
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calcul [m] à plusieurs variables |
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多変数微分積分学, 多変数解析学 |
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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 |
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многоме́рный ана́лиз |
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| real analysis |
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实分析，实数分析，实变函数论 |
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shí fēnxī, shíshù fēnxī, shí biàn hánshù lùn |
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reelle Analysis |
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analyse [f] réelle |
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実解析, 実関数論 |
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じ↑つか↓いせき, じ↑つかんすうろ↓ん |
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тео́рия фу́нкций веще́ственной переме́нной, тео́рия фу́нкций действи́тельного переме́нного |
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| complex analysis |
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复分析 |
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fù fēnxī |
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Funktionentheorie [f] |
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analyse [f] complexe |
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複素解析 |
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ふ↑くそか↓いせき |
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ко́мпле́ксный ана́лиз, тео́рия фу́нкций ко́мпле́ксного переме́нного, тео́рия фу́нкций ко́мпле́ксной переме́нной |
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| functional analysis |
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泛函分析 |
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fànhán fēnxī |
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Funktionalanalysis [f] |
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analyse [f] fonctionnelle |
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関数解析学 |
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か↑んす↓うか↑いせき↓がく |
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функциона́льный ана́лиз |
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| Fourier analysis |
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傅里叶分析 |
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Fùlǐyè fēnxī |
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Fourier-Analysis [f], Fourier-Analyse [f] |
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analyse [f] de Fourier |
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フーリエ解析 |
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フ↓ーリエかいせき |
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ана́лиз Фурье́ |
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| harmonic analysis |
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调和分析，谐波分析 |
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tiáohé fēnxī, xiébō fēnxī |
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harmonische Analyse, harmonische Analysis |
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analyse [f] harmonique |
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調和解析 |
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ちょ↑うわか↓いせき |
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гармони́ческий ана́лиз |
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Calculus
| eng-Latn-US: concept |
eng-Latn-US: prerequisite
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cmn-Hans-CN: 概念 |
cmn-Hans-CN: 前提
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cmn-Latn.Pinyin-CN: gàiniàn |
cmn-Latn.Pinyin-CN: qiántí
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deu-Latn-DE: Begriff [m] |
deu-Latn-DE: Voraussetzung [f]
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fra-Latn-FR: concept [m] |
fra-Latn-FR: préalable [m]
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jpn-Jpan-JP: 概念 |
jpn-Jpan-JP: 前提
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jpn-Hrkt-JP: が↓いねん |
jpn-Hrkt-JP: ぜ↑んてい
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rus-Cyrl-RU: конце́пция |
rus-Cyrl-RU: предпосы́лка
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| backward difference |
finite difference
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| central difference |
finite difference
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| continuous function |
argument <mathematical logic>
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| definite integral |
second fundamental theorem of calculus
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| derivative |
function of a real variable <algebra>
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| difference quotient |
finite difference
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| differentiable function |
derivative; domain <mathematical logic>
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| differentiation |
derivative
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| discontinuous function |
argument <mathematical logic>
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| finite difference |
function <mathematical logic>
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| forward difference |
finite difference
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| indefinite integral |
integral; antiderivative
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| indeterminate form |
infinity <number theory>
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| infinitesimal, infinitesimal number |
real number
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| integral |
infinitesimal
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| Leibniz integral rule |
partial derivative
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| limit |
function; sequence
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| linear approximation |
affine transformation <geometry>
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| Lipschitz continuity |
uniform continuity
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| maxima [pl:maxima] |
function
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| minimum [pl:minima] |
function
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| multiple integral |
definite integral
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| partial derivative |
derivative
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| second derivative, second order derivative |
derivative
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| stationary point |
differentiable function; derivative
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| Taylor polynomial |
Taylor's theorem
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| total derivative |
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differential equation
| 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
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deu-Latn-DE: Begriff [m] |
deu-Latn-DE: Voraussetzung [f]
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fra-Latn-FR: concept [m] |
fra-Latn-FR: préalable [m]
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jpn-Jpan-JP: 概念 |
jpn-Jpan-JP: 前提
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jpn-Hrkt-JP: が↓いねん |
jpn-Hrkt-JP: ぜ↑んてい
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rus-Cyrl-RU: конце́пция |
rus-Cyrl-RU: предпосы́лка
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| differential equation |
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| delay differential equations |
derivative
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| differential-algebraic system of equations |
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| integro-differential equation |
integral; derivative
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| ordinary differential equation |
derivative; independent variable
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| partial differential equation |
partial derivative; multivariable function
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| stochastic differential equation |
stochastic process <probability theory>; differential equation
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| stochastic partial differential equation |
stochastic process <probability theory>; partial differential equation
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differentiation rule
| 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]
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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
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rus-Cyrl-RU: конце́пция |
rus-Cyrl-RU: предпосы́лка
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| differentiation rule |
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| chain rule |
function composition; differentiable function
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| general Leibniz rule |
product rule
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| inverse function rule |
differentiable function; inverse function
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| power rule |
differentiable function
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| product rule, Leibniz rule |
differentiable function
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| quotient rule |
differentiable function
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| reciprocal rule |
multiplicative inverse; differentiable function
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extremum
| 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]
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fra-Latn-FR: concept [m] |
fra-Latn-FR: préalable [m]
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jpn-Jpan-JP: 概念 |
jpn-Jpan-JP: 前提
|
jpn-Hrkt-JP: が↓いねん |
jpn-Hrkt-JP: ぜ↑んてい
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rus-Cyrl-RU: конце́пция |
rus-Cyrl-RU: предпосы́лка
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extremum [pl:extrema] |
function <mathematical logic>
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| absolute maximum, global maximum |
maximum; domain <set theory>
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| absolute minimum, global minimum |
minimum; domain <set theory>
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| relative maximum, local maximum |
maximum; interval <topology>
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| relative minimum, local minimum |
minimum; interval <topology>
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integral transform
| 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
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deu-Latn-DE: Begriff [m] |
deu-Latn-DE: Voraussetzung [f]
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fra-Latn-FR: concept [m] |
fra-Latn-FR: préalable [m]
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jpn-Jpan-JP: 概念 |
jpn-Jpan-JP: 前提
|
jpn-Hrkt-JP: が↓いねん |
jpn-Hrkt-JP: ぜ↑んてい
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rus-Cyrl-RU: конце́пция |
rus-Cyrl-RU: предпосы́лка
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| Fourier transform |
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| 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-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
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notation for differentiation
| notation for differentiation |
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| Euler's notation |
differentiation
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| Lagrange's notation |
differentiation
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| Leibniz's notation |
differentiation
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| Newton's notation |
differentiation
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series
| 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-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
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| series |
addition <number theory>; infinity <number theory>
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| alternating series |
series
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| convergent series |
limit
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| divergent series |
limit
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| Fourier series |
series; periodic function; sine wave <trigonometry>
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| geometric series |
series; ratio
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| Gregory's series |
Taylor series; inverse trigonometric functions <trigonometry>
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| harmonic series |
series
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| partial sum |
series; sum <number theory>
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| Taylor series |
series; derivative
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| telescoping series |
series
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theorem in calculus
| 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-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 |
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| extreme value theorem |
continuous function; maximum; minimum
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| first fundamental theorem of calculus |
continuous function; closed interval <topology>; antiderivative
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| L'Hôpital's rule |
limit; indeterminate form
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| Rolle's theorem, Rolle's lemma |
stationary point
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| second fundamental theorem of calculus |
interval <algebra>; antiderivative
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| Taylor's theorem |
differentiable function; linear appriximation
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Vector Calculus, Vector Analysis
| 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-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
|
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Multivariable Calculus, Multivariate Calculus
| 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-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
|
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| differential operator |
operator <algebra>; differentiation
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| triple product rule, cyclic chain rule, cyclic relation, cyclical rule, Euler's chain rule |
partial derivative
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Real Analysis
| 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-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
|
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Complex Analysis
| 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-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
|
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| complex plane |
Cartesian coordinate system <geometry>; complex number <number theory>
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| imaginary axis |
imaginary line
|
虚轴 |
|
xū zhóu |
|
imaginäre Achse |
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| imaginary line |
line <geometry>; point <geometry>; imaginary number <arithmetic>
|
虚数线 |
|
xūshù xiàn |
|
imaginäre Linie |
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| real axis |
real line
|
实轴 |
|
shí zhóu |
|
reelle Achse |
|
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| real line |
line <geometry>; point <geometry>; real number <arithmetic>
|
实数线 |
|
shíshù xiàn |
|
reelle Linie |
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Functional Analysis
| 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-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
|
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Numerical Analysis
| 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-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
|
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| truncation error |
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Fourier Analysis
| 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-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
|
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Harmonic Analysis
| 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-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
|
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* Appendix *
Adjective & Adjective Phrase; Verb & Verb Phrase
| 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-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
|
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Symbol
| symbol
|
eng-Latn-US: concept
|
cmn-Hans-CN: 概念
|
cmn-Latn.Pinyin-CN: gàiniàn
|
deu-Latn-DE: Begriff [m]
|
fra-Latn-FR: concept [m]
|
jpn-Jpan-JP: 概念
|
jpn-Hrkt-JP: が↓いねん
|
rus-Cyrl-RU: конце́пция
|
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Process
| eng-Latn-US: process |
eng-Latn-US: constituent
|
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]
|
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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Related Free Educational Resources
| branch
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name
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link
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language
|
public license
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Material Science
Technical Drawing
