6-972s06.jpg
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The discriminant of the polynomial x4 + 4ax3 + 6bx2 + 4cx + 1. The convex set inside the “bowl” corresponds to the region of nonnegativity. There is an additional one-dimensional component inside the set. (Image courtesy of Prof. Pablo Parrilo.)
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6-972s06.jpg
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Discriminant for a fourth-order polynomial. Inside region is nonnegative.
Caption:
The discriminant of the polynomial x_4 + 4_ax_3 + 6_b_x_2 + 4_cx_ + 1. The convex set inside the “bowl” corresponds to the region of nonnegativity. There is an additional one-dimensional component inside the set. (Image courtesy of Prof. Pablo Parrilo.)
![Discriminant for a fourth-order polynomial. Inside region is nonnegative.](/courses/6-972-algebraic-techniques-and-semidefinite-optimization-spring-2006/58d50c96bbb189caee7a357d7537f73c_6-972s06.jpg)
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