That's latex code. It look like it is less readable than I assumed. I don't know how to write equations in this forum anymore (the eqn tag does not seem to work and I can't upload images from 3rd party services).

If you fix one of the two coordinates (for example v = 0.7 as in your example), the corresponding basis polynomials B_j(v) becomes constants. You can thus sum the terms P_ij B_j(v) for 0 <= j <= 2 to obtains the control points for a quadratic curve depending only on the parameter u.