[英]Highlighting section(s) of surface
I have analytically verified that a local min of x^2+y^2-x*y
lies at the point (1,1)
on the condition x+y=2
. 我已经分析验证了x^2+y^2-x*y
的局部最小值位于条件x+y=2
的点(1,1)
上。 Using wxMaxima, can plot the surface 使用wxMaxima,可以绘制表面
plot3d(x^2+y^2-x*y, [x,-2,2],[y,-2,2],[grid, 100,100], [mesh_lines_color,false]);
What I would like to do now is highlight all the points z
on the surface that satisfy the condition x+y=2
. 我现在想做的是突出显示表面上满足条件x+y=2
所有点z
。 In other words, I'd like to highlight the section of the surface given by the condition. 换句话说,我想强调条件给出的表面截面。 How do I achieve this? 我该如何实现?
Since your question is tagged with gnuplot
, here is a way how one could do that in Gnuplot using a parametric plot: 由于您的问题是用gnuplot
标记的,因此这是一种使用参数图在Gnuplot中实现此目的的方法:
set terminal pngcairo
set output 'fig.png'
unset key
set isosamples 40
set parametric
set ur [-2:2]
set vr [-2:2]
set zr [0:12]
set xr [-2:2]
set yr [-2:2]
fn(u) = 2-u
splot \
u,v,u**2 + v**2 - u*v, \
u,fn(u),u**2 + fn(u)**2 - u*fn(u) w l lc rgb 'red'
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