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Exact(6)
Once one has found a true motion, one can then ask what caused that motion (for Newton, as we will see, it is forces that are understood to cause motions).
In absence of motion, one can notice that fits.
More specifically, given the characteristics of the structure and the ground motion, one can calculate the maximum damage observed in column bases and beams.
For stochastic calculus and stochastic differential equations with respect to a G-Brownian motion, one can refer to Li and Peng (2011), Hu et al. (2014a, b), etc., and a book by Peng (2010a).
For energy and wave functions of the electron-positron pair center of gravity motion, one can obtain, respectively, the following expressions: ϵ R = α N, L 2 4 r 0 2, (18) Φ R → = 1 2 π r 0 J L + 3 / 2 4 ϵ R r 0 J L + 1 / 2 4 ϵ R R R Y LM θ, φ, (19).
Taking into account that the thickness of QDs is typically much smaller than their lateral dimension and therefore the electron motion in the first direction is much faster than in-plane motion, one can use the advantage of the adiabatic approximation [13] in which the wave function is presented as a product of two functions: Ψ m ρ, z = f ρ, z Φ m ρ ; m = 0, ± 1, ± 2, …, (3).
Similar(54)
Having identified what motion is, one can use it then to define time and so explain the gradual and the like.
However, if the target trajectory changes dramatically or even maneuvers among different motion models, one can resort to the interactive multiple model (IMM) algorithm [24], which performs well on systems characterized by multiple models of target behavior.
With the help of the equation of motion approach, one can obtain: begin{array}rcl@ G_{11}^{r}left omegaright) &=&frac{1}{omega-tilde{varepsilon}_{1}+iGamma_{1}}, G_{22}^{r}left omegaright) &=&frac{1}{omega-tilde{varepsilon}_{2}+iGamma_{2}}, G_{33}^{r}left omegaright) &=&frac{1}{omega-tilde{varepsilon}_{3}+iGamma_{3}}, end{array}.
In these approaches, because the time history of strong ground motion is generated, one can obtain ground motion parameters such as peak amplitude and duration.
One often asks the proponent of the motion to split it up in two motions, so that one can agree with one half, and vote against the other (Letter 21.9).
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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