6-bio-normal-dist

using GLMakie
using Distributions
using Latexify

GLMakie.activate!()

n=100
xs=ys=range(-4,4,n)
μ=[0 , 0]
Σ=[1 0 ; 0 1]
d=MvNormal(μ,Σ)
d2=Normal()
zs=[pdf(d,[x,y]) for x in xs , y in ys]

# 投影到 x-z 平面数据
xz=[Point3f(4,y,pdf(d2,y)/2) for y in ys]

# 投影到 y-z 平面数据
yz=[Point3f(x,4,pdf(d2,x)/2) for x in ys]


str=latexify([0,0])
fig = Figure(size=(600,600))
ax = Axis3(fig[1, 1],title=L"\mu ")
surface!(xs,ys,zs;space=:data)
lines!(ax, xz;linewidth=3)
lines!(ax, yz;linewidth=3)

fig
#save("./imgs/mutli-normal-dist.png",fig)