Sentence examples for problem was derived from inspiring English sources

Also analytical solution of the same problem was derived.

The shape gradient of the shape optimization problem was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative.

Based on the implicit function theorem, the Jacobian for this inverse problem was derived to investigate the constraints of employing circular and straight-line survey patterns to estimate the position of a transponder.

An exact solution to the inverse Womersley problem was derived for the fully-developed, laminar pulsatile flow of a viscous Newtonian fluid, within a circular cylindrical vessel with rigid walls.

The shape gradient function and the optimality conditions for this problem are derived theoretically using the material derivative method and the adjoint variable method.

The corresponding dual problem is derived in Section 3.2.

The ML-based optimal problem is derived in (24).

Two algorithms for solving the optimization problem are derived.

The problem is derived from [21] with different sizes.

Two numerical algorithms to solve the problem are derived.

Then the existence and uniqueness of maximal regular solution to nonlinear abstract parabolic problem is derived.