如何对同一坐标系下的三个曲面进行图例标注
说明：Question(1)我们知道在同一坐标系如果画两条不同的曲线，可以用语句：legende(........)注释图例，比如可以用普通线条注释第一条曲线，另外一条可用圈圈，或者“+”号来画第二条曲线（总之为了书面打印时能区分这两条不同曲线就好），但是如果是三个曲面同时在一个坐标系出现，就不能像曲线那样一个用线标注，一个用其他的什么符号标注了。如果此时要对这三个曲面用legend(….)语句进行注释要怎样区别这三个曲面？（当然要在书面打印时能够区分哪个是第一个曲面，哪个是第二个曲面，哪个是第三个曲面），还要求在图例中标注：a表达式表示：F(t,s,m)对m的偏导数，b表达式表示：F(t,s,m)对t的偏导数 c表达式表示：F(t,s,m)对s的偏导数 ，如何满足上述要求？请各位老师指教！该三个曲面的代码如下：a=vectorize('(exp((3*m*(s - 1))/2) - cos((3^(1/2)*m*(s - 1))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - 1))/2))*((3*t*cos((3^(1/2)*m*t)/2))/2 - (3*t*exp(-(3*m*t)/2))/2 + (3^(1/2)*t*sin((3^(1/2)*m*t)/2))/2) - ((3*exp(-(3*m)/2))/2 + (3*cos((3^(1/2)*m)/2))/2 - (3^(1/2)*sin((3^(1/2)*m)/2))/2)*(cos((3^(1/2)*m*(s - t))/2) - exp((3*m*(s - t))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - t))/2)) + (s/2 - t/2)*(3*exp((3*m*(s - t))/2) - 3*cos((3^(1/2)*m*(s - t))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - t))/2))*(cos((3^(1/2)*m)/2) - exp(-(3*m)/2) + 3^(1/2)*sin((3^(1/2)*m)/2)) + (s/2 - 1/2)*(exp(-(3*m*t)/2) - cos((3^(1/2)*m*t)/2) + 3^(1/2)*sin((3^(1/2)*m*t)/2))*(3*exp((3*m*(s - 1))/2) + 3*cos((3^(1/2)*m*(s - 1))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - 1))/2))');a = eval(['@(t,s,m)',vectorize(a)]);%a表示F(t,s,m)对m的偏导数 = meshgrid(0:.01:1,0:.01:1,0:.01:3.0167);% 画图范围v = a(t,s,m);v(s>t) = NaN;v(s==0)=NaN;v(t==0)=NaN;h = patch(isosurface(s,t,m,v,0));isonormals(t,s,m,v,h) set(h,'FaceColor','r','EdgeColor','none');xlabel('t');ylabel('s');zlabel('m');alpha(0.8) grid on; view(3); axis equal; camlight; lighting gouraudhold onb=vectorize('(exp((3*m*(s - 1))/2) - cos((3^(1/2)*m*(s - 1))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - 1))/2))*((3*m*cos((3^(1/2)*m*t)/2))/2 - (3*m*exp(-(3*m*t)/2))/2 + (3^(1/2)*m*sin((3^(1/2)*m*t)/2))/2) - (m*(3*exp((3*m*(s - t))/2) - 3*cos((3^(1/2)*m*(s - t))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - t))/2))*(cos((3^(1/2)*m)/2) - exp(-(3*m)/2) + 3^(1/2)*sin((3^(1/2)*m)/2)))/2');b = eval(['@(t,s,m)',vectorize(b)]);%b表示F(t,s,m)对t的偏导数 = meshgrid(0:.01:1,0:.01:1,0:.01:3.0167);% 画图范围v = b(t,s,m);v(s>t) = NaN;v(s==0)=NaN;v(t==0)=NaN;h = patch(isosurface(t,s,m,v,0));isonormals(t,s,m,v,h) set(h,'FaceColor','r','EdgeColor','none');xlabel('t');ylabel('s');zlabel('m');alpha(0.8) grid on; view(3); axis equal; camlight; lighting gouraudhold onc=vectorize('(m*(exp(-(3*m*t)/2) - cos((3^(1/2)*m*t)/2) + 3^(1/2)*sin((3^(1/2)*m*t)/2))*(3*exp((3*m*(s - 1))/2) + 3*cos((3^(1/2)*m*(s - 1))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - 1))/2)))/2 + (m*(3*exp((3*m*(s - t))/2) - 3*cos((3^(1/2)*m*(s - t))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - t))/2))*(cos((3^(1/2)*m)/2) - exp(-(3*m)/2) + 3^(1/2)*sin((3^(1/2)*m)/2)))/2');c= eval(['@(t,s,m)',vectorize(c)]);%c表示F(t,s,m)对s的偏导数 = meshgrid(0:.01:1,0:.01:1,0:.01:3.0167);% 画图范围v = c(t,s,m);v(s>t) = NaN;v(s==0)=NaN;v(t==0)=NaN;h = patch(isosurface(t,s,m,v,0));isonormals(t,s,m,v,h) set(h,'FaceColor','r','EdgeColor','none');xlabel('t');ylabel('s');zlabel('m');alpha(0.8) grid on; view(3); axis equal; camlight; lighting gouraudhold off 应该是legend函数 具体应当如何写代码呢？ 这是我修改的你的程序a = vectorize(['(exp((3*m*(s - 1))/2) - cos((3^(1/2)*m*(s - 1))/2) + ' ...
'3^(1/2)*sin((3^(1/2)*m*(s - 1))/2))*((3*t*cos((3^(1/2)*m*t)/2))/2 -' ...
' (3*t*exp(-(3*m*t)/2))/2 + (3^(1/2)*t*sin((3^(1/2)*m*t)/2))/2) - ' ...
'((3*exp(-(3*m)/2))/2 + (3*cos((3^(1/2)*m)/2))/2 - ' ...
'(3^(1/2)*sin((3^(1/2)*m)/2))/2)*(cos((3^(1/2)*m*(s - t))/2) - ' ...
'exp((3*m*(s - t))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - t))/2)) + ' ...
'(s/2 - t/2)*(3*exp((3*m*(s - t))/2) - 3*cos((3^(1/2)*m*(s - t))/2) + ' ...
'3^(1/2)*sin((3^(1/2)*m*(s - t))/2))*(cos((3^(1/2)*m)/2) - ' ...
'exp(-(3*m)/2) + 3^(1/2)*sin((3^(1/2)*m)/2)) + (s/2 - 1/2)*(exp(-(3*m*t)/2) ' ...
'- cos((3^(1/2)*m*t)/2) + 3^(1/2)*sin((3^(1/2)*m*t)/2))*(3*exp((3*m*(s - 1))/2) + ' ...
'3*cos((3^(1/2)*m*(s - 1))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - 1))/2))']);
a = eval(['@(t,s,m)',vectorize(a)]);%a表示F(t,s,m)对m的偏导数
= meshgrid(0:.01:1,0:.01:1,0:.01:3.0167);% 画图范围
v = a(t,s,m);
v(s > t) = NaN;
v(s == 0) = NaN;
v(t == 0) = NaN;
h = patch(isosurface(s,t,m,v,0));
set(h,'FaceColor','b','EdgeColor','none');
hold on
b=vectorize(['(exp((3*m*(s - 1))/2) - cos((3^(1/2)*m*(s - 1))/2) + ' ...
'3^(1/2)*sin((3^(1/2)*m*(s - 1))/2))*((3*m*cos((3^(1/2)*m*t)/2))/2 - ' ...
'(3*m*exp(-(3*m*t)/2))/2 + (3^(1/2)*m*sin((3^(1/2)*m*t)/2))/2) - ' ...
'(m*(3*exp((3*m*(s - t))/2) - 3*cos((3^(1/2)*m*(s - t))/2) + ' ...
'3^(1/2)*sin((3^(1/2)*m*(s - t))/2))*(cos((3^(1/2)*m)/2) - ' ...
'exp(-(3*m)/2) + 3^(1/2)*sin((3^(1/2)*m)/2)))/2']);
b = eval(['@(t,s,m)',vectorize(b)]);%b表示F(t,s,m)对t的偏导数
= meshgrid(0:.01:1,0:.01:1,0:.01:3.0167);% 画图范围
v = b(t,s,m);
v(s > t) = NaN;
v(s == 0) = NaN;
v(t == 0) = NaN;
h = patch(isosurface(t,s,m,v,0));
set(h,'FaceColor','g','EdgeColor','none');
c=vectorize(['(m*(exp(-(3*m*t)/2) - cos((3^(1/2)*m*t)/2) + ' ...
'3^(1/2)*sin((3^(1/2)*m*t)/2))*(3*exp((3*m*(s - 1))/2) + ' ...
'3*cos((3^(1/2)*m*(s - 1))/2) + 3^(1/2)*sin((3^(1/2)*m*(s - 1))/2)))/2 + ' ...
'(m*(3*exp((3*m*(s - t))/2) - 3*cos((3^(1/2)*m*(s - t))/2) + ' ...
'3^(1/2)*sin((3^(1/2)*m*(s - t))/2))*(cos((3^(1/2)*m)/2) - ' ...
'exp(-(3*m)/2) + 3^(1/2)*sin((3^(1/2)*m)/2)))/2']);
c= eval(['@(t,s,m)',vectorize(c)]);%c表示F(t,s,m)对s的偏导数
= meshgrid(0:.01:1,0:.01:1,0:.01:3.0167);% 画图范围
v = c(t,s,m);
v(s > t) = NaN;
v(s == 0) = NaN;
v(t == 0) = NaN;
h = patch(isosurface(t,s,m,v,0));
set(h,'FaceColor','r','EdgeColor','none');
xlabel('t');ylabel('s');zlabel('m');
alpha(0.8)
grid on; view(3); axis equal; camlight; lighting gouraud
hold off
legend('a','b','c') 在你用的legend(.......)语句中，如何修改此语句，使得在图例注释时显示出：a="偏F(t,s,m)/偏m",b="偏F(t,s,m)/偏t",c="偏F(t,s,m)/偏s",其中这里的偏表示：数学中的偏导数符号，还是用不同的颜色区别，该如何做？ 将之前的代码legend一句改为
txt1 = '$a = frac{partial F(t,s,m)}{partial m};
txt2 = '$b = frac{partial F(t,s,m)}{partial t};
txt3 = '$c = frac{partial F(t,s,m)}{partial s};
h = legend(txt1,txt2,txt3);
set(h,'Interpreter','Latex')
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