Keywords: Surface vectors.png مجال متجه لسطح Un camp vectorial sobre una superfície A vector field on a surface Vektora kampo sur surfaco ដែន ៉ិចទ័រនៅលើផ្ទៃ 曲 上的向量 Created with MATLAB Source code MATLAB <source lang matlab > illustration of a vector field on a surface figure 1 ; clf; hold on; axis equal; axis off; view -12 20 viewing angle initial data f inline '0 4 1- X 2+1 1 Y 2 ' ; the function to be plotted fx inline '-2 X' 'X' 'Y' ; fy inline '-2 2 Y' 'X' 'Y' ; Lx1 0; Lx2 1; Ly1 -1; Ly2 1; the domain of f is the box Lx1 Lx2 x Ly1 Ly2 plot the surface N 50; X Y meshgrid Lx1 1/N Lx2 Ly1 1/N Ly2 ; Z f X Y ; X and Y surf X Y Z 'FaceColor' 'red' 'EdgeColor' 'none' 'AmbientStrength' 0 3 'SpecularStrength' 1 'DiffuseStrength' 0 8 ; create and plot a vector field rather arbitrarily lw 1 4; width of vectors N 3; X Y meshgrid Lx1 1/N Lx2 Ly1 1/N Ly2 ; Z f X Y ; X and Y Vx fy X Y ; Vy -0 5 fx X Y ; Vz 3+0 Vx; H quiver3 X Y Z Vx Vy Vz ; draw the normals set H 1 'linewidth' lw ; set H 2 'linewidth' lw ; camlight headlight; lighting phong; make nice lightning saveas gcf 'surface_vectors eps' 'psc2' ; print '-dpng' '-r300' 'surface_vectors png' save to file </source> Images with Matlab source code Tangent vectors Surface plots Files by User Oleg Alexandrov from en wikipedia math |