Sentence examples for derived which satisfies from inspiring English sources
A set of sufficient conditions is derived, which satisfies the passivity of the two-port delayed network system, by separating the input and output energy at each port.
In the present paper, the global local higher-order theory is simply derived, which satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces.
To solve the inverse coefficient problem with the help of boundary data, a sequence of boundary functions are derived, which satisfy the homogeneous boundary conditions, and are at least the fourth-order polynomials.
Exact solutions for torsion of cross-ply laminates and certain FGM are derived, which satisfy exactly the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the bounding planes of the rectangular section, and the interfacial continuity conditions in multilayered composite laminates, regardless of the number of layers.
Based on Donnell's nonlinear shell theory, a semi-analytical model is derived which exactly satisfies the (in-plane) boundary conditions.
Error equations are derived which are approximately satisfied by the errors in the solution.
As a result, a so-called "α-criterion" is derived which states that, if a built-up structure satisfies the condition of α⪡1, the randomness effects of the SEA subsystem can be neglected.
In turn, a set ( K i) ) can be derived which defines the succeeding demand elements which can be satisfied from block i.
The singular solution is derived analytically which satisfies the governing equation and the corresponding boundary conditions containing the singularities.
The phase equilibrium and stability conditions for homogeneous phases are derived and a thermodynamic potential which satisfies all these conditions is introduced using polar order parameters.
On the other hand, a critic NN is applied to estimate the cost function, which satisfies the recursive equations derived from heuristic dynamic programming.
