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Add Project 8 eqns again
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Project#08/README.md

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@@ -30,15 +30,15 @@ is approximately the zero matrix in a least-squares sense. The error matrix for
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where <b><i>D<sub>i</sub></i></b> is the AO-basis density matrix used to construct
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<b><i>F<sub>i</sub></i></b>, and <b><i>S</i></b> is the AO-basis overlap matrix. Minimization of <b><i>e'</i></b> under the constraint that
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<img src="./figures/constraint.png" height="40">
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<img src="./figures/constraint.png" height="45">
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leads to the following system of linear equations for the c<sub>i</sub>:
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<img src="./figures/sys-lin-eqn-ci.png" height="125">
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where lambda is a Lagrangian multiplier and the elements <i>B<sub>ij</sub></i> are computed as dot products of error matrices:
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<img src="./figures/Bij.png" height="20">
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<img src="./figures/Bij.png" height="25">
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## Step #1: Compute the Error Matrix in Each Iteration
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