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Claude Meny 5 years ago
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      00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.es.md

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00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.es.md

@ -176,23 +176,6 @@ Ejemplos / Exemples / Examples :<br>
\- UNAL-Manizales : $`5°03'22,08N'' \quad 75°29'28,37''O \quad 2132m`$<br> \- UNAL-Manizales : $`5°03'22,08N'' \quad 75°29'28,37''O \quad 2132m`$<br>
\- INSA-Toulouse : $`43°34'11,67N'' \quad 1°28'03,85''E \quad 148m`$<br> \- INSA-Toulouse : $`43°34'11,67N'' \quad 1°28'03,85''E \quad 148m`$<br>
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -210,23 +193,7 @@ and in non-relativistic quantum mechanics :
[EN] Space and time are independent, so there are two independent coordinate systems : [EN] Space and time are independent, so there are two independent coordinate systems :
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -242,23 +209,7 @@ sont nécessaires et suffisants pour repérer une position dans l'espace.
[EN] The Euclidean space of Newton's mechanics has three dimensions $`\Longrightarrow`$ 3 real [EN] The Euclidean space of Newton's mechanics has three dimensions $`\Longrightarrow`$ 3 real
numbers are necessary and sufficient to locate a position in space. numbers are necessary and sufficient to locate a position in space.
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -274,23 +225,6 @@ est nécessaire et suffisant pour dater un évènement dans le temps.
[EN] Time has one dimension $`\Longrightarrow`$ only one real [EN] Time has one dimension $`\Longrightarrow`$ only one real
number is necessary and sufficient to date an event in time. number is necessary and sufficient to date an event in time.
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -410,23 +344,6 @@ the scalar line element $`dl`$ writes simply :
$`dl=\sqrt{dx^2+dy^2+dz^2}`$ , **$`\mathbf{dl=\sqrt{dx^2+dy^2+dz^2}}`$** $`dl=\sqrt{dx^2+dy^2+dz^2}`$ , **$`\mathbf{dl=\sqrt{dx^2+dy^2+dz^2}}`$**
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -458,23 +375,7 @@ $`\overrightarrow{e_T}=\dfrac{\overrightarrow{dl}}{||\overrightarrow{dl}||}=\dfr
=\dfrac{\dfrac{\partial \overrightarrow{OM}}{\partial x}}{\left| \left| =\dfrac{\dfrac{\partial \overrightarrow{OM}}{\partial x}}{\left| \left|
\dfrac{\partial \overrightarrow{OM}}{\partial x} \right| \right|}`$.--> \dfrac{\partial \overrightarrow{OM}}{\partial x} \right| \right|}`$.-->
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -501,23 +402,7 @@ $`\quad\Longrightarrow\quad dl_x=dx`$ , **$`\mathbf{dl_x=dx}`$**.
<!--\text{élément scalaire d'arc : }--> <!--\text{élément scalaire d'arc : }-->
tambien / de même / similarly : $`dl_y=dy`$ et $`dl_z=dz`$, **$`\mathbf{dl_y=dy}`$** et **$`\mathbf{dl_z=dz}`$**. tambien / de même / similarly : $`dl_y=dy`$ et $`dl_z=dz`$, **$`\mathbf{dl_y=dy}`$** et **$`\mathbf{dl_z=dz}`$**.
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -561,23 +446,7 @@ $`\quad\overrightarrow{e_y}=\dfrac{\partial\overrightarrow{OM}_y}{||\partial\ove
$`\partial\overrightarrow{OM}_z=\dfrac{\partial \overrightarrow{OM}}{\partial z}\cdot dz`$, $`\partial\overrightarrow{OM}_z=\dfrac{\partial \overrightarrow{OM}}{\partial z}\cdot dz`$,
$`\quad\overrightarrow{e_z}=\dfrac{\partial\overrightarrow{OM}_z}{||\partial\overrightarrow{OM}_z||}`$ $`\quad\overrightarrow{e_z}=\dfrac{\partial\overrightarrow{OM}_z}{||\partial\overrightarrow{OM}_z||}`$
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -919,23 +788,7 @@ $`=\pm\; (dl_y\;\overrightarrow{e_y})\land(dl_z\;\overrightarrow{e_z})`$
$`=\pm\; dl_y\;dl_z\;(\overrightarrow{e_y}\land\overrightarrow{e_z})`$ $`=\pm\; dl_y\;dl_z\;(\overrightarrow{e_y}\land\overrightarrow{e_z})`$
$`=\pm\; dy\;dz\;\overrightarrow{e_x}`$ $`=\pm\; dy\;dz\;\overrightarrow{e_x}`$
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -971,23 +824,6 @@ infinitely close to each other and located on either side of the surface, there
a path that connects these two points without crossing the surface. Example: the surface a path that connects these two points without crossing the surface. Example: the surface
of a sheet of paper. (to be submitted to mathematicians). of a sheet of paper. (to be submitted to mathematicians).
[Fr] : <br>
Vos initiales : **XXX** , institut/université : **INSA** :<br>
\- vocabulaire : ........................................................... <br>
\- équations : .............................................................. <br>
\- commentaire : ......................................................... <br>
[ES] :<br>
Sus iniciales: **XXX** , instituto/universidad : **...** : <br>
\ - vocabulario: .............................................. ............. <br>
\ - ecuaciones: .............................................. ................ <br>
\ - comentario: .............................................. ........... <br>
[EN] :<br>
Your initials: **XXX** , institute / university : **...**: <br>
\ - vocabulary: .............................................. ............. <br>
\ - equations: .............................................. ................ <br>
\ - comment: .............................................. ........... <br>
------------------------------------------------------------------------ ------------------------------------------------------------------------

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