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SOA: in this stage, the only computation is to update the probability vectors (Equation 19) S times in one generation.
The discussion of the complexity for each stage is as follows: (1) SOA: in this stage, the only computation is to update the probability vectors (Equation 19) S times in one generation.
We adjusted the original representation of the protagonist-interest vectors (Equation 2) in order to mitigate the data bias, which was reflected in that some countries were overly represented, because they produced much more tweets than others (Figure 12(a)).
where V ~ = 4 3 Π a 3 is the volume of a nanoparticle, r2j is the location of the centre of the j-th nanoparticle in the second aggregate, M2j is the magnetization vector of the j-th nanoparticle in the second aggregate, M1A and M2A are the averaged magnetization vectors (Equation 12) of the first and the second aggregate respectively, and V 2 = n 2 3 a is the volume of the second aggregate.
To characterize whether the search is sufficient or exhaustive we investigated the convergence for two measures: the parameter-spectrum width (Equation 3) and the variability in the feasible solution space of the parameter vectors (Equation 7). Figure 3 shows the changes in the parameter-spectrum width with respect to the number of solutions.
The unweighted vectors (equation 12) were also computed.
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My passion has remained the afflictions of my homeland, but at Harvard I have found new ways to address them, to use mathematical models — matrices, vectors, equations, regressions — to understand the Mexican drug crisis.
Lauer, V. New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope.
This formula doesn't tell you which way it's pointing, because it's a scaler; it's not a vector equation.
This is a typical example of a phenomenon that might be represented by different equations in differently oriented Cartesian coordinate systems but that has a single vector equation (for all observers not moving with respect to one another).
If you want to write it as a vector equation, you want to write it as v2 over r minus–I want to say that it's pointing in the direction toward the center.
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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