1. The corresponding projections onto the generalized eigenspaces are given by real polynomials in. 2. In 1972, an approximation algorithm for real polynomial -time solvability of linear programs. 3. In the following, the focus is only on how to test stability of a real polynomial . 4. Thus, non-real roots of real polynomials occur in complex conjugate pairs ( " see" 5. The strong real Jacobian conjecture was that a real polynomial map with a nowhere vanishing Jacobian determinant has a smooth global inverse. 6. A "'real polynomial function "'is a function from the reals to the reals that is defined by a real polynomial. 7. A "'real polynomial function "'is a function from the reals to the reals that is defined by a real polynomial . 8. Where F ( X _ 1, \ dots X _ n ) is a quantifier-free formula involving equalities and inequalities of real polynomials . 9. What are the generators of the ring of real polynomials divisible by x ^ 2-4x + 5 ? talk ) 03 : 09, 23 October 2012 ( UTC) 10. It follows from this ( and the fundamental theorem of algebra ), that if the degree of a real polynomial is odd, it must have at least one real root.