MAKE A MEME
View Large Image
| View Original: | Schwarz-Christoffel transformation.png (580x177) | |||
| Download: | Original | Medium | Small | Thumb |
| Courtesy of: | commons.wikimedia.org | More Like This | ||
| Keywords: Schwarz-Christoffel transformation.png Math Schwarz-Christoffel mapping of the semi-infinite strip to the upper half-plane Licsensing This image was created by the following Matlab file zs linspace 0 2 0 2+1i linspace 0 4 0 4+1i linspace 0 6 0 6+1i linspace 0 8 0 8+1i linspace 1 0 1 0+1i linspace 0 2i 1 2+0 2i linspace 0 4i 1 2+0 4i linspace 0 6i 1 2+0 6i linspace 0 8i 1 2+0 8i ; zs transpose zs ; zs2 linspace 0 0+1i linspace 0i 1 2+0i linspace 1i 1 2+1i ; zs2 transpose zs2 ; zetas - 1/2 + 1/2 cosh pi zs ; zetas2 - 1/2 + 1/2 cosh pi zs2 ; clf; subplot 'position' 0 0 0 4 0 4 ; hold on; patch -1 2 2 -1 -1 -1 0 0 0 7 0 7 0 7 'EdgeColor' 'none' ; patch -1 2 2 -1 1 1 2 2 0 7 0 7 0 7 'EdgeColor' 'none' ; patch -1 0 0 -1 -1 -1 2 2 0 7 0 7 0 7 'EdgeColor' 'none' ; plot real zs imag zs 'r' ; plot real zs2 imag zs2 'k' 'LineWidth' 2 ; plot 0 0 0 1 'ok' 'MarkerSize' 7 'MarkerFaceColor' 'black' ; axis -0 2 1 2 -0 2 1 2 ; axis off; annotation 'arrow' 0 55 0 45 0 18 0 18 ; annotation 'textbox' 0 45 0 18 0 1 0 1 'String' '\itf' 'EdgeColor' 'none' 'HorizontalAlignment' 'center' 'FontSize' 20 ; subplot 'position' 0 6 0 0 4 0 4 ; hold on; patch -3 2 2 -3 -1 -1 0 0 0 7 0 7 0 7 'EdgeColor' 'none' ; plot real zetas imag zetas 'r' ; plot real zetas2 imag zetas2 'k' 'LineWidth' 2 ; plot -1 0 0 0 'ok' 'MarkerSize' 7 'MarkerFaceColor' 'black' ; axis -2 5 1 5 -0 3 2 ; axis off; print -depsc 'sc eps'; The resulting EPS file was transformed to PNG by the following commands epstopdf sc eps convert sc pdf sc png mv sc png Schwarz-Christoffel_transformation png Complex analysis | ||||
