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lines changed Original file line number Diff line number Diff line change 4747 * ### Local contributions
4848 *
4949 * \f[
50- * \mathbf{y}^{e}=\left[\begin{array}{llll }P_{in} & Q_{in} &
50+ * \mathbf{y}^{e}=\left[\begin{array}{lllll }P_{in} & Q_{in} &
5151 * P_{out} & Q_{out}\end{array}\right]^{T} & \text{valve\_status}\f]
5252 *
5353 * \f[
54- * \mathbf{E}^{e}=\left[\begin{array}{cccc }
54+ * \mathbf{E}^{e}=\left[\begin{array}{ccccc }
5555 * 0 & 0 & 0 & 0 & 0 \\
5656 * 0 & 0 & 0 & 0 & 0 \\
5757 * \end{array}\right]
5858 * \f]
5959 *
6060 * \f[
61- * \mathbf{F}^{e}=\left[\begin{array}{cccc }
61+ * \mathbf{F}^{e}=\left[\begin{array}{ccccc }
6262 * 1 & -(R_{max}+R_{min})/2.0 & -1 & 0 & 0\\
6363 * 0 & 1 & 0 & -1 & 0\\
6464 * 0 & 0 & 0 & 7 & 1
7575 *
7676 * \f[
7777 * \left(\frac{\partial\mathbf{c}}{\partial\mathbf{y}}\right)^{e} =
78- * \left[\begin{array}{cccc }
78+ * \left[\begin{array}{ccccc }
7979 * A & B & C & 0 & 0\\
8080 * 0 & 0 & 0 & 0 & 0\\
8181 * D & 0 & -D & 0 & 0
9090 * \f]
9191 * \f[
9292 * C = -\frac{1}{2} k Q_{in}
93- * (R_{max}-R_{min})\left[1-tanh^2\{k(P_{out}-P_{in})\}\right] \f]
93+ * (R_{max}-R_{min})\left[1-tanh^2\{k(P_{out}-P_{in})\}\right]
94+ * \f]
9495 * \f[
95- * D = \frac{1}{2} \frac{k}{cosh^2\{k(P_{in}-P_{out})\}} \f]
96+ * D = \frac{1}{2} \frac{k}{cosh^2\{k(P_{in}-P_{out})\} }
97+ * \f]
9698 *
9799 * \f[
98100 * \left(\frac{\partial\mathbf{c}}{\partial\dot{\mathbf{y}}}\right)^{e} =
99- * \left[\begin{array}{cccc }
101+ * \left[\begin{array}{ccccc }
100102 * 0 & 0 & 0 & 0 & 0\\
101103 * 0 & 0 & 0 & 0 & 0\\
102104 * 0 & 0 & 0 & 0 & 0
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