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[[Category:Sci–Tech_Index]] | |||
This is a part of the [https://polyglotclub.com/wiki/Language/Multiple-languages/Culture/Introduction-to-Sci%E2%80%93Tech-Index Sci–Tech Index], a project for science and technology learners. | |||
In progress. | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequaisite | |||
! 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-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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| || | | || | ||
|- | |- | ||
| | | mathematical analysis || | ||
| 数学分析 || | |||
| shùxué fēnxî || | |||
| Analysis [f] || | |||
| analyse [f] || | |||
| 解析学 || | |||
| か↑いせき↓がく || | |||
| ана́лиз [м] || | |||
| | |||
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|- | |- | ||
| | | calculus || | ||
| | | 微积分学 || | ||
| | | wēijīfēn xué || | ||
| | | Infinitesimalrechnung [f] || | ||
| | | calcul [m] infinitésimal || | ||
| | | 微分積分学 || | ||
| | | び↑ぶんせきぶ↓んがく || | ||
| | | математи́ческий ана́лиз || | ||
|- | |- | ||
| | | vector calculus, vector analysis || | ||
| | | 向量分析, 向量微积分 || | ||
| | | xiàngliàn fēnxī, xiàngliàng wēijīfēn || | ||
| | | Vektoranalysis [f] || | ||
| | | analyse [f] vectorielle || | ||
| | | ベクトル解析 || | ||
| | | ベ↑クトルか↓いせき || | ||
| | | ве́кторный ана́лиз || | ||
|- | |- | ||
| | | multivariable calculus, multivariate calculus || | ||
| | | 多元微积分, 多变量微积分 || | ||
| | | duōyuán wēijīfēn, duō biànliàng wēijīfēn || | ||
| | | multivariable Infinitesimalrechnung || | ||
| | | 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 || | ||
|- | |- | ||
| | | real analysis || | ||
| | | 实分析, 实数分析, 实变函数论 || | ||
| | | shí fēnxī, shíshù fēnxī, shí biàn hánshù lùn || | ||
| reelle Analysis || | |||
| analyse [f] réelle || | |||
| 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 || | |||
| | |||
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| | |||
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|- | |- | ||
| | | complex analysis || | ||
| | | 复分析 || | ||
| | | fù fēnxī || | ||
| | | Funktionentheorie [f] || | ||
| | | analyse [f] complexe || | ||
| | | 複素解析 || | ||
| | | ふ↑くそか↓いせき || | ||
| | | ко́мпле́ксный ана́лиз, тео́рия фу́нкций ко́мпле́ксного переме́нного, тео́рия фу́нкций ко́мпле́ксной переме́нной || | ||
|- | |- | ||
| | | functional analysis || | ||
| | | 泛函分析 || | ||
| | | fànhán fēnxī || | ||
| | | Funktionalanalysis [f] || | ||
| | | analyse [f] fonctionnelle || | ||
| | | 関数解析学 || | ||
| | | か↑んす↓うか↑いせき↓がく || | ||
| | | функциона́льный ана́лиз || | ||
|- | |- | ||
| | | Fourier analysis || | ||
| | | 傅里叶分析 || | ||
| | | Fùlǐyè fēnxī || | ||
| | | Fourier-Analysis [f], Fourier-Analyse [f] || | ||
| | | analyse [f] de Fourier || | ||
| | | フーリエ解析 || | ||
| | | フ↓ーリエかいせき || | ||
| | | ана́лиз Фурье́ || | ||
|- | |- | ||
| | | harmonic analysis || | ||
| | | 调和分析, 谐波分析 || | ||
| | | tiáohé fēnxī, xiébō fēnxī || | ||
| | | harmonische Analyse, harmonische Analysis || | ||
| | | analyse [f] harmonique || | ||
| | | 調和解析 || | ||
| | | ちょ↑うわか↓いせき || | ||
| | | гармони́ческий ана́лиз || | ||
|- | |- | ||
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|} | |} | ||
== 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] | ||
! 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 | ||
|- | |- | ||
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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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| first fundamental theorem of calculus || continuous function; antiderivative | |||
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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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| | | L'Hôpital's rule || limit; indeterminate form | ||
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| limit || function; sequence | |||
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| partial derivative || | |||
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| second fundamental theorem of calculus || interval <algebra>; antiderivative | |||
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| | | total derivative || | ||
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|} | |} | ||
=== Vector Calculus, Vector 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] | ||
! 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 636: | Line 273: | ||
|- | |- | ||
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|} | |} | ||
=== Multivariable Calculus, Multivariate 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] | ||
! 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 | ||
|- | |- | ||
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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 == | |||
{| 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] | ||
! 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 | ||
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|} | |} | ||
== 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] | ||
! 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 | ||
|- | |- | ||
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|- | |- | ||
| | | imaginary axis || imaginary line | ||
| | | 虚轴 || | ||
| | | xū zhóu || | ||
| | | imaginäre Achse || | ||
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Line 1,013: | Line 389: | ||
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|- | |- | ||
| | | imaginary line || line <geometry>; point <geometry>; imaginary number <arithmetic> | ||
| | | 虚数线 || | ||
| | | xūshù xiàn || | ||
| | | imaginäre Linie || | ||
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Line 1,022: | Line 398: | ||
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|- | |- | ||
| | | real axis || real line | ||
| | | 实轴 || | ||
| | | shí zhóu || | ||
| | | reelle Achse || | ||
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Line 1,031: | Line 407: | ||
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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 == | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! 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-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,209: | Line 437: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
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|- | |- | ||
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|} | |} | ||
== | == Numerical Analysis == | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! 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-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,332: | Line 476: | ||
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|- | |- | ||
| truncation error || | |||
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|} | |} | ||
== | == 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] | ||
! 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 1,390: | Line 525: | ||
|} | |} | ||
== | |||
== 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] | ||
! 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 | ||
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== | [[File:432px-Fourier_Series.svg.png]] | ||
== * Appendix * == | |||
=== Adjective & Adjective Phrase; Verb & Verb Phrase === | |||
{| 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] | ||
! 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 | ||
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|} | |} | ||
== | === Symbol === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! symbol | ||
! cmn-Latn.Pinyin-CN: gàiniàn | ! eng-Latn-US: concept | ||
! deu-Latn-DE: Begriff [m | ! cmn-Hans-CN: 概念 | ||
! cmn-Latn.Pinyin-CN: gàiniàn | |||
! fra-Latn-FR: concept | ! deu-Latn-DE: Begriff [m] | ||
! jpn-Jpan-JP: 概念 | ! fra-Latn-FR: concept [m] | ||
! jpn-Hrkt-JP: が↓いねん | ! jpn-Jpan-JP: 概念 | ||
! rus-Cyrl-RU: конце́пция | ! jpn-Hrkt-JP: が↓いねん | ||
! rus-Cyrl-RU: конце́пция | |||
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== | === Process === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: | ! eng-Latn-US: process !! eng-Latn-US: constituent | ||
! cmn-Latn.Pinyin-CN: | ! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ||
! deu-Latn-DE: | ! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ||
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | |||
! fra-Latn-FR: | ! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ||
! jpn-Jpan-JP: | ! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 | ||
! jpn-Hrkt-JP: | ! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい | ||
! rus-Cyrl-RU: | ! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть | ||
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|} | |} | ||
== | === Related Free Educational Resources === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! branch | ||
! name | |||
! link | |||
! language | |||
! | ! public license | ||
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