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M3P2
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48cd9e78
Commit
48cd9e78
authored
Aug 24, 2020
by
Claude Meny
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Update textbook.fr.md
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00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md
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48cd9e78
...
@@ -674,35 +674,29 @@ $`\displaystyle\dfrac{d\left(\overrightarrow{OM}\right)(t)}{dt}
...
@@ -674,35 +674,29 @@ $`\displaystyle\dfrac{d\left(\overrightarrow{OM}\right)(t)}{dt}
##### Propongo el siguiente escrito (a discutir) / Je propose l'écriture suivante (à débattre) / I propose the following writing (to be discussed)
##### Propongo el siguiente escrito (a discutir) / Je propose l'écriture suivante (à débattre) / I propose the following writing (to be discussed)
[
ES
]
En la escritura de una ecuación, vemos con relativa frecuencia vemos el error de tipo :
<br>
*
[
ES
]
En la escritura de una ecuación, vemos con relativa frecuencia vemos el error de tipo :
<br>
[
FR
]
Dans l'écriture d'une équation, nous voyons relativement souvent l'erreur de type :
<br>
[
FR
]
Dans l'écriture d'une équation, nous voyons relativement souvent l'erreur de type :
<br>
[
EN
]
In the expression of an equation, we relatively often see the type of error :
[
EN
]
In the expression of an equation, we relatively often see the type of error :
<br>
<br>
$
`d ... = \int ... d...`
$
<br>
$
`d ... = \int ... d...`
$
[
ES
]
En una parte del curso "Atención" (fondo rojo), tendremos que explicar esto.
<br>
[
ES
]
En una parte del curso "Atención" (fondo rojo), tendremos que explicar esto.
<br>
[
FR
]
Dans une partie de cours "Attention" (fond rouge), nous devrons expliquer cela.
<br>
[
FR
]
Dans une partie de cours "Attention" (fond rouge), nous devrons expliquer cela.
<br>
[
EN
]
In a part of the course "Attention" (red background), we will have to explain this.
[
EN
]
In a part of the course "Attention" (red background), we will have to explain this.
Si $
`xxx`
$ es una cantidad física escalar o vectorial, propongo que $
`dxxx`
$ significa una
*
[
ES
]
Si $
`xxx`
$ es una cantidad física escalar o vectorial, propongo que $
`dxxx`
$ significa una
variación infinitesimal de esta cantidad y $
`\delta xxx`
$ una variación macroscópica.
variación infinitesimal de esta cantidad y $
`\delta xxx`
$ una variación macroscópica.
<br>
Si $
`xxx`
$ est une grandeur physique scalaire ou vectorielle, je propose que $
`dxxx`
$ signifie
[
FR
]
Si $
`xxx`
$ est une grandeur physique scalaire ou vectorielle, je propose que $
`dxxx`
$ signifie
une variation infinitésimale de cette grandeur, et d$
`\delta xxx`
$ une variation macrosocpique.
une variation infinitésimale de cette grandeur, et d$
`\delta xxx`
$ une variation macrosocpique.
<br>
If $
`xxx`
$ is a scalar or vector physical quantity, I propose that $
`dxxx`
$ means an infinitesimal
[
EN
]
If $
`xxx`
$ is a scalar or vector physical quantity, I propose that $
`dxxx`
$ means an infinitesimal
variation of this quantity, and $
`\delta xxx`
$ a macrosocpic variation.
variation of this quantity, and $
`\delta xxx`
$ a macrosocpic variation.
<br>
<br>
Ainsi
Ainsi
<br>
$
`\displaystyle\dfrac{d\left(\overrightarrow{OM}\right)(t)}{dt}
$
`\displaystyle\dfrac{d\left(\overrightarrow{OM}\right)(t)}{dt}
=\lim_{\Delta t\rightarrow 0}
=\lim_{\Delta t\rightarrow 0}
\left(
\left(
\dfrac{\overrightarrow{OM}(t+\Delta t)-\overrightarrow{OM}(t))}{\Delta t}
\dfrac{\overrightarrow{OM}(t+\Delta t)-\overrightarrow{OM}(t))}{\Delta t}
\right)`
$
\right)`
$
$
`=\dfrac{\overrightarrow{OM}(t+dt)-\overrightarrow{OM}(t)}{dt}`
$
$
`=\dfrac{\overrightarrow{OM}(t+dt)-\overrightarrow{OM}(t)}{dt}`
$
<br>
<br>
deviendrait
<br>
deviendrait
<br>
$
`\displaystyle\dfrac{d\overrightarrow{OM}(t)}{dt}
$
`\displaystyle\dfrac{d\overrightarrow{OM}(t)}{dt}
=\lim_{\Delta t\rightarrow 0}
=\lim_{\Delta t\rightarrow 0}
\left(
\left(
\dfrac{\overrightarrow{OM}(t+\Delta t)-\overrightarrow{OM}(t))}{\Delta t}
\dfrac{\overrightarrow{OM}(t+\Delta t)-\overrightarrow{OM}(t))}{\Delta t}
...
...
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