this is for holding javascript data
Henrik Holst edited Ellipsens_ekvation_E_x_frac__.tex
almost 9 years ago
Commit id: 4e4edc6f17803c3203722a257f818f5d6f019f5f
deletions | additions
diff --git a/Ellipsens_ekvation_E_x_frac__.tex b/Ellipsens_ekvation_E_x_frac__.tex
index ac7e0f7..597eb2d 100644
--- a/Ellipsens_ekvation_E_x_frac__.tex
+++ b/Ellipsens_ekvation_E_x_frac__.tex
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$$y - x = \frac{1}{2} t \nabla E(x) = t \begin{bmatrix} \frac{x_1}{e_1^2} & \frac{x_2}{e_2^2} \end{bmatrix}$$
eller ekvivalent formulerat
$$y_k = \left( 1 + \frac{t}{e_k^2} \right) x_k, \qquad k=1,2,3.$$
We can formulate this as
$$e_k^2 y_k = \left( e_k^2 + t \right) x_k, \qquad k=1,2,3$$