12_variation_perturbation_matrixhq

Rearrange hcesc left multiply each side by c 1s 1

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Unformatted text preview: x3 x 4 m 2m 2 m x 1 2 0 x 1 0 2 dx x 1 0 2 2 d 2 x3 x 4 2 x 6 x 2 4 x3 2m dx 2 m 6 x 1 dx 2 x 3 x 4 1 6 x 6 x 2 dx 2 x 3 x 4 6 x 3 12 x 4 6 x 5 6 x 4 12 x 5 6 x 6 dx 2 6 x 7 18 x 6 19 x 5 8 x 4 x 3 0 6 m 7 5 4 3 2 2 6 18 19 8 1 6 5 3 3 105 19 7 3 2 105 7 5 m 7 6 5 4 3 m 105 2 10 15 6 2 m 30 30 30 30m d 1 2 x dx dx 3 2 m 6 6 6m 2 2 1 0 x x x x dx m 2 3 2 1 2 2 dx x 2 2x3 x 4 0 m 2m 0 , dx x x 2m 2 1 and , 1 2 d 2 ˆ H1, 2 H 2,1 f 2* Hf1d x 2 2 x 3 x 4 x x2 2 0 2m dx 1 f 2 ( x) x 2 (1 x) 2 x 2 1 2 x x 2 x 2 2 x 3 x 4 2 6 1 18x 5 19 x 4 8 x 3 x 2 dx 0 2 2 90 315 399 210 35 105m 105m 18 10/7/2013 x 3 x 4 x 5 1 1 1 1 10 15 6 1 1 1 2 S1,1 f1* f1d x x 2 dx x 2 2 x 3 x 4 dx 0 0 3 2 5 325 30 30 0 1 1 S1, 2 S 2,1 f1* f 2 d x x 2 x 2 2 x 3 x 4 dx x 3 2 x 4 x 5 x 4 2 x 5 x 6 dx 0 0 x 4 3x 5 3x 6 x 1 x 3 3x 4 3x 5 x 6 dx 0 4 5 6 6 70 168 140 40 2 1 280 2 140 140 61 1 1 0 1 3 1 1 5 2 7 3 4 2 7 4 5 7 4 5 2 4527 280 S 2, 2 f 2* f 2 d x 2 2 x 3 x 4 dx x 4 2 x 5 x 6 2 x 5 4 x 6 2 x 7 x 6 2 x 7 x 8 dx 0 2 0 x5 4 x6 6 x 7 4 x8 x 1 12611 x 4 4 x 5 6 x 6 4 x 7 x8 dx 0 5 6 7 8 90 5 3 7 2 9 3 7 2 9 2 5 7 2 9 6 5 3 2 9 5 3 7 9 5 3 7 2 378 1260 1620 945 210 3 1 53 7 2 9 1890 3 630 630 91 summarizing 1 1 1 2 1 2 1 2 1 S 2, 2 S1,1 S1, 2 S 2,1 H1,1 H1, 2 H1, 2 H 2,1 630 30 140 m6 m 105 m 30 quadratic solution Etrial 2 H1, 2 S1, 2 H1,1S 2, 2 H 2, 2 S1,1 1 2 S1,1S 2, 2 S12, 2 2 2 H1, 2 S1, 2 H1,1S 2, 2 H 2, 2 S1,1 H1,1H 2, 2 H12, 2 4 2 S1,1S 2, 2 S1, 2 S1,1S 2, 2 S12, 2 2 2 1 1 1 2 11 11 1 1 1 1 11 11...
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