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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.

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Polynomial time for a quadratic equation and linear inequalities?

Does anyone know how to find a feasible solution (or the infeasibility of any solution) in a polynomial time to the following problem: \begin{align*} xAx^t = 0, \\ Bx^t = c, \\ x_i \ge 0, \end{align*} …
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