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Directed tabu search (DTS) method is utilized to derive the solutions of the optimal control and state as well as the optimal value of the objective function.
The adjoint variable method is utilized to derive the shape sensitivities by combining the general linear elastic equation with a weak imposition of Dirichlet boundary conditions.
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Lagrangian dynamics in conjunction with the assumed modes method is utilized to derive, directly, the non-linear equivalent temporal equations of motion.
The Lagrangian dynamics in conjunction with the assumed modes method is utilized to derive directly the equivalent temporal equations of motion.
An analytical method is utilized to derive a formula of the elastic buckling load of a pin-ended TTC-BRB, which is verified and modified through FE analyses.
The least square method is utilized to derive an asymptotically consistent estimator.
A variational approach is utilized to derive the governing differential equations, and the Galerkin method is implemented to cast the problem into a manageable set of algebraic equations.
Based on the co-crystallized compound (PDB ID: 1UWJ), several alignment methods were utilized to derive reliable CoMFA and CoMSIA models.
Thereby, formal power series and suitable summation methods are utilized to derive a finite-dimensional approximation in generalized controller form coordinates.
The finite element method (FEM) with time-dependent length and Hamilton's principle are utilized to derive the governing equation.
Together the value and factual premises are utilized to derive conclusions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com