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