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The derivation of something is where it came from, and how it turned into what it is now.
The derivation of something某樣東西的derivation is指的是 where it came from它是從哪裡來的 and how it turned into what it is now以及它是怎麼變成現在這樣的
People use this a lot with words. The derivation of a word is its origin story: which older word it grew from, and how the shape or the meaning changed on the way. You can also talk about the derivation of an idea, a custom, or a later form of a thing.
People有人 use this a lot很常這樣用 with words來講詞彙 The derivation of a word一個字的derivation is是 its origin story它的起源故事 which older word it grew from它是從哪個較早的字長出來的 and how the shape or the meaning changed on the way以及在過程中形狀或意思怎麼改變的 You can also talk about你也可以講 the derivation of an idea, a custom, or a later form of a thing一個想法、一個習俗，或某樣東西後來形式的derivation
In maths, a derivation is the chain of steps from what you already know to a new result — the working, not only the answer.
In maths在數學裡 a derivation derivation is指的是 the chain of steps from what you already know to a new result從你已知的東西推到新結果的一連串步驟 the working是過程 not only the answer而不只是答案
It is a school-and-book word. Friends would just say where it comes from.
It is這是 a school-and-book word一個課本、書面用語 Friends朋友之間 would just say只會直接說 where it comes from它是從哪裡來的
Though actually, in higher maths the thing you get when you change a formula is a derivative, not a derivation, and those two get swapped a lot.
Though actually不過事實上 in higher maths在高等數學裡 the thing you get when you change a formula你把一個公式做變換後得到的東西 is a derivative, not a derivation叫做derivative，不是derivation and those two get swapped a lot這兩個字常常被搞混
組成From Middle English derivacioun, borrowed from Middle French dérivation, from Latin dērīvātiō. Built in English as derive + -ation (the act or the result).
同家族的字
- derivethe verb this noun is built from
- derivativethe related adjective, and the maths noun students mix with this one
原始詞典資料13 筆記錄
以下是外部詞典記錄的用法，原文照列，我們還沒有寫成教學內容。上面的說明才是我們自己寫的；有些用法可能上面已經講過了。
derivationnoun/ˌdɛ.ɹɪˈveɪ.ʃ(ə)n/
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A leading or drawing off of water from a stream or source.
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The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.
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human-scienceslinguisticssciencesThe act of tracing origin or descent; an instance thereof (for example, an etymology).
- the derivation of a word from an Indo-European root
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grammarhuman-scienceslinguisticsForming a new word by changing the base of another word or by adding affixes to it.
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The state or method of being derived; the relation of origin when established or asserted.
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That from which a thing is derived.
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That which is derived; a derivative; the result of a deduction.
- There were also letters to scientists and other scholars, pages of derivations of mathematics and physics formulae, and copious writings on alchemy and religion.
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The process of deriving one thing from another, especially in logic; a deduction.
另外 5 個記錄的用法
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mathematicssciencesThe process of deriving one thing from another, especially in logic; a deduction.
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calculusmathematicssciencesThe process of application of the derivative operator to a function, yielding another function called the derived function of the first.
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mathematicssciencesAn algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.
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mathematicssciencesAn algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.
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historicalmedicinesciencesA drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.
資料來源：英文維基詞典 English Wiktionary（CC BY-SA 4.0）。 原文照列，未經改寫。