Sentence examples for using the lagrangian function from inspiring English sources

A multi-scale design of point-to-points networks using the Lagrangian function coupled with the constructal approach is performed.

The linear and nonlinear mathematical models are derived using the Lagrangian function and implemented using a finite element method.

To overcome the drawback in filter methods, Ulbrich [11] introduced a new filter method using the Lagrangian function instead of the objective function as the acceptance criterion.

We develop the sufficient global optimality conditions for nonlinear programming problem (SDP f ) with LMI and bounded constraints of mixed integer variables by using the Lagrangian function.

Using the Lagrangian function (9), we write the Euler-Lagrange equations of motion of the controlled system as d dt ∂ ℒ q a, x ̇ ∂ x ̇ i − ∂ ℒ q a, x ̇ ∂ x i = B ( x ) τ − τ f i (10).

By using the Lagrangian function value in the filter we establish that the proposed algorithm can overcome the Maratos effect without using second order correction step, so that fast local superlinear convergence to second order sufficient local solution is achieved.

In the approach considered here, the constraints Ar≤y and z≤p Tx are incorporated into the objective function using the Lagrangian multipliers λ ∈ R 4 and μ ∈ R 3.

To reduce the computational cost of the structural alignment, they simplified the mathematical structure of the integer programming (IP) formulation, eliminating information on the topology of secondary structure from the constraints and integrating the structural information into the objective function, as well as using the Lagrangian relaxation.

The dynamics are studied using the Lagrangian variational method, and analytical solutions are constructed with Jacobi elliptic functions.

An analytical framework using the Lagrangian formulation is derived to describe the motion of the system and the voltage output as a function of rotation speed.

The ultimate mode will be selected using the Lagrangian optimization.