quadratic function in a sentence

Examples

1. Ladislav Beran described in 1999, how the Carlyle circle can be used to construct the complex roots of a normed quadratic function.
2. One description of a parabola involves a graph of a quadratic function, " x " 2 } }, for example.
3. The quadratic function V ( z ) = z ^ T P z is a Lyapunov function that can be used to verify stability.
4. I just wonder if it's easy to solve just like the quadratic function ax ^ 2 + bx + c = 0.
5. This turns to be a quadratic function; hence, it has only one point where the derivative is zero ( a critical point ).
6. the velocity profile in the z direction is parabolic ( i . e . is a quadratic function of the coordinate in this direction ).
7. Since the dual maximization problem is a quadratic function of the c _ i subject to linear constraints, it is efficiently solvable by quadratic programming algorithms.
8. Any smooth function of one variable approximates a quadratic function when examined near enough to its minimum point as can be seen by examining the Taylor series.
9. In 1999, S . Paulus and H .-G . R�ck related the infrastructure of a real quadratic function field to the divisor class group.
10. Namely, Berkeley relies upon Apollonius's determination of the tangent of the parabola in Berkeley's own determination of the derivative of the quadratic function.