1. The list of constraints is a system of linear inequalities . 2. Right now I can only solve linear inequalities , not rational or higher polynomial. 3. The above quadratic program involves a very large, possibly infinite number of linear inequality constraints. 4. Gale played a fundamental role in the development of the theory of linear programming and linear inequalities . 5. Analytically, such a convex polyhedron is expressed as the solution set for a system of linear inequalities . 6. A well-developed special case is obtained when is a polyhedron defined by linear inequalities and equalities. 7. Dantzig provided formal proof in an unpublished report " A Theorem on Linear Inequalities " on January 5, 1948. 8. If all variables are eliminated from a system of linear inequalities , then one obtains a system of constant inequalities. 9. The basic idea behind LP decoding is to first represent the relax the integrality constraints on the variables into linear inequalities . 10. The Klee Minty cube was originally specified with a parameterized system of linear inequalities , with the dimension as the parameter.