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The numerical convergence problem is solved by introducing viscous damping effect into finite element equations for strain softening phenomenon.
In this paper this crucial problem is solved by introducing a new definition of thermodynamically consistent projection operators into the classical elastic damage/degradation model.
The underactuated issue and input limitation are specially considered in this paper, i.e., the underactuated issue is solved by introducing the hierarchical methodology into the basic dual sliding mode controller.
Based on these compact general solutions, the three-dimensional Green's function for fluid-saturated, transversely isotropic, poroelastic bimaterials under a steady-state point fluid source is solved by introducing six new harmonic functions.
In the literature this problem is solved by introducing hidden variables which represent the status of each speaker.
This is solved by introducing negative weights, preventing neurons from reacting on every pattern and increasing the specificity of classifier.
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Model uncertainties or unmeasurable disturbances existing objectively can be solved by introducing internal model control.
Structural vibrations often cause problems in high precision instruments, which may be solved by introducing passive damping.
The CNT governing equations (fourth-order ordinary differential nonlinear equations with integral conditions) are solved by introducing a continuation algorithm.
This model could be solved by introducing a function about the equivalent concrete thickness of a coating with ageing time.
In this paper, the above singularity problem has been solved by introducing side conditions without sacrifice of convergence.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com