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By combining static analysis of the links through a multilayer piezoelectric beam model and kinematic analysis of the micro-manipulator, inverse kinematic has been solved utilizing the Taylor series expansion technique and the perturbation method.
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The load carrying capacity was solved utilizing the geometric non-linear beam solution.
An important by-product of normal science, however, is the accumulation of puzzles which cannot be solved utilizing the resources of the current paradigm.
In these approximation strategies, objective function is estimated by approximation model and the optimization problem is solved utilizing the approximated values.
Typical problems regarding nTP such as master reusability, defect tolerance, process cost and speed have been solved utilizing this replication technique.
The results give insight on the special challenges of embedded space system development, how these challenges are solved utilizing agile practices, and how the new practices were experienced.
An availability evaluation algorithm of the proposed system is suggested and the corresponding optimization problem is solved utilizing genetic algorithms.
Furthermore, those curved beams, excluding the effects of the axis extensibility, shear deformation and the rotary inertia, are modeled and then solved utilizing the finite element method using a new non-isoparametric element.
First, the coupled hygrothermal field along the radius of a rotating circular disk is achieved by solving the coupled hygrothermal equations, and then the dynamic equilibrium is solved by utilizing the finite difference method.
The singular integral equation is solved analytically utilizing the Jacobi polynomials.
The problem of actuator faults is solved by utilizing the adaptive compensation technique.
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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