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A numerical example demonstrates that the three-dimensional maneuver for an asymmetric spacecraft with two constrained control inputs can be successfully performed using the proposed closed-form solution.
A sandwich annular plate built with two constrained layers of polar orthotropic material and a viscoelastic core layer is subjected to a periodic uniform radial stress while rotating.
On this weighted tree, the cost functions were minimized with two constrained node times, which corresponded to two fossil calibration points.
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Topologies enforcing monophyly of Pelecaniformes, and monophyly of a penguin/plotopterid clade, represent the only two constrained topologies with KH test p/2 values >0.05, supporting the interpretation that these topologies would not be considered significantly worse fits to the present dataset than the optimal topologies under an SH test [76].
To show the high performance of the proposed method, we compare the proposed algorithm with six existing constrained optimization algorithms and five penalty function based methods.
These are modelled with two nonlinear springs constrained to move in the longitudinal and lateral directions, respectively, with 4 mm of travel (± 2 mm from centre).
To estimate the summer temperature effects, we further modelled mean temperature (lag 0 1) with two linear terms constrained to a join point, which is also known as the threshold.
The reduced four parameter model differs from the full six parameter model (λ0, λ1, μ0, μ1, q01, q10) with two of the rates constrained to be equal in both character states, for example (λ0, λ1, μ0=μ1, q01= q01=.
The ILUC results associated with these two models (constrained and unconstrained) are found to bracket the results generated when failing to distinguish rainfed and irrigated agriculture, as has been the case with previous studies.
A distinctive feature of the absorber is its tunable piecewise-linear stiffness, which is realized by means of a slider with two stop-blocks installed constraining the bilateral deflections of the elastic support.
The model with three change points constrains the slope change at two possibilities to be zero.
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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