@Representación interactiva de funcións implícitas $F(x,y,z)=0$
system:sage


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<HR>
<H3>Representación interactiva de funcións implícitas $F(x,y,z)=0$</H3>
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#auto
%hide
var('x,y,z')
@interact
def example(F=-x^2-y^2-z, rango_x='(-2, 2)', rango_y='(-2,2)', rango_z='(-2,2)'):
    xmin, xmax = sage_eval(rango_x); ymin, ymax = sage_eval(rango_y);zmin,zmax=sage_eval(rango_z);
    P = implicit_plot3d(F, (x, xmin, xmax), (y, ymin, ymax), (z,zmin,zmax))
    html('<h1>Gráfica de $F(x,y,z) = %s$</h1>'%latex(F))
    show(P)
///
<html><!--notruncate--><div padding=6 id='div-interact-0'> <table width=800px height=20px bgcolor='#c5c5c5'
                 cellpadding=15><tr><td bgcolor='#f9f9f9' valign=top align=left><table><tr><td align=right><font color="black">F&nbsp;</font></td><td><input type='text' value="-x^2 - y^2 - z" size=80 onchange='interact(0, "_interact_.update(0, \"F\", 1, _interact_.standard_b64decode(\""+encode64(this.value)+"\"), globals());_interact_.recompute(0)")'></input></td></tr>
<tr><td align=right><font color="black">rango_x&nbsp;</font></td><td><input type='text' value="(-2, 2)" size=80 onchange='interact(0, "_interact_.update(0, \"rango_x\", 2, _interact_.standard_b64decode(\""+encode64(this.value)+"\"), globals());_interact_.recompute(0)")'></input></td></tr>
<tr><td align=right><font color="black">rango_y&nbsp;</font></td><td><input type='text' value="(-2,2)" size=80 onchange='interact(0, "_interact_.update(0, \"rango_y\", 3, _interact_.standard_b64decode(\""+encode64(this.value)+"\"), globals());_interact_.recompute(0)")'></input></td></tr>
<tr><td align=right><font color="black">rango_z&nbsp;</font></td><td><input type='text' value="(-2,2)" size=80 onchange='interact(0, "_interact_.update(0, \"rango_z\", 4, _interact_.standard_b64decode(\""+encode64(this.value)+"\"), globals());_interact_.recompute(0)")'></input></td></tr>
</table><div id='cell-interact-0'><?__SAGE__START>
        <table border=0 bgcolor='#white' width=100% height=100%>
        <tr><td bgcolor=white align=left valign=top><pre><?__SAGE__TEXT></pre></td></tr>
        <tr><td  align=left valign=top><?__SAGE__HTML></td></tr>
        </table><?__SAGE__END></div></td>
                 </tr></table></div>
                 </html>
}}}

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///
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