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## pyx-checkins

 [PyX-checkins] pyx/design beziers.tex,1.2,1.3 From: André Wobst - 2005-08-31 06:39:40 Update of /cvsroot/pyx/pyx/design In directory sc8-pr-cvs1.sourceforge.net:/tmp/cvs-serv29830 Modified Files: beziers.tex Log Message: remove some newlines (unwanted equation numbers) and fix some alignments Index: beziers.tex =================================================================== RCS file: /cvsroot/pyx/pyx/design/beziers.tex,v retrieving revision 1.2 retrieving revision 1.3 diff -C2 -d -r1.2 -r1.3 *** beziers.tex 30 Aug 2005 19:12:40 -0000 1.2 --- beziers.tex 31 Aug 2005 06:39:32 -0000 1.3 *************** *** 91,96 **** = 27 \kappa(0) |\alpha|^3 &= \begin{aligned}[t] ! +\dot x(0) &\bigl[- 4\dot y(0) - 2\dot y(1) + 6(y_3-y_0)\bigr] \\ ! -\dot y(0) &\bigl[- 4\dot x(0) - 2\dot x(1) + 6(x_3-x_0)\bigr] \end{aligned}\\ &= \begin{aligned}[t] --- 91,96 ---- = 27 \kappa(0) |\alpha|^3 &= \begin{aligned}[t] ! &+\dot x(0) \bigl[- 4\dot y(0) - 2\dot y(1) + 6(y_3-y_0)\bigr] \\ ! &-\dot y(0) \bigl[- 4\dot x(0) - 2\dot x(1) + 6(x_3-x_0)\bigr] \end{aligned}\\ &= \begin{aligned}[t] *************** *** 119,124 **** = 27 \kappa(1) |\beta|^3 &= \begin{aligned}[t] ! \dot x(1) &\bigl[ 4\dot y(1) + 2\dot y(0) - 6(y_3-y_1)\bigr] \\ ! -\dot y(1) &\bigl[ 4\dot x(1) + 2\dot x(0) - 6(x_3-x_1)\bigr] \end{aligned}\\ &= \begin{aligned}[t] --- 119,124 ---- = 27 \kappa(1) |\beta|^3 &= \begin{aligned}[t] ! &+\dot x(1) \bigl[ 4\dot y(1) + 2\dot y(0) - 6(y_3-y_1)\bigr] \\ ! &-\dot y(1) \bigl[ 4\dot x(1) + 2\dot x(0) - 6(x_3-x_1)\bigr] \end{aligned}\\ &= \begin{aligned}[t] *************** *** 129,133 **** &-18 \alpha\beta \bigl[t_x(0)t_y(1) - t_y(0)t_x(1)\bigr] \\ &-18 \beta \bigl[t_x(1) (y_3-y_1) - t_y(1) (x_3-x_1)\bigr] ! \end{aligned}\\ \end{align} --- 129,133 ---- &-18 \alpha\beta \bigl[t_x(0)t_y(1) - t_y(0)t_x(1)\bigr] \\ &-18 \beta \bigl[t_x(1) (y_3-y_1) - t_y(1) (x_3-x_1)\bigr] ! \end{aligned} \end{align} *************** *** 161,165 **** + \frac{9}{2}E\kappa(0)\kappa(1)\beta^2 + T^3 \beta ! - D T^2 + \frac{3}{2}\kappa(0) E^2 \\ \end{align} % --- 161,165 ---- + \frac{9}{2}E\kappa(0)\kappa(1)\beta^2 + T^3 \beta ! - D T^2 + \frac{3}{2}\kappa(0) E^2 \end{align} %