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All these four transforms can be computed by simple rearrangement of input samples.
The obtained sensitivity expression, which can be computed by simple algebraic manipulation of the solution variables, is well suited for numerical implementation and provides accurate values.
In this appendix, we give some useful cumulative distribution functions (CDF), for which probability density functions (PDF) can be computed by simple differentiation.
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Scale scores were computed by simple item summation.
It has been shown that the influence spread under the LT model can be computed by searching simple paths starting from the seeds [11],[15].
The shear strength of these elements is evaluated at various stages of loading and can be computed by direct simple expressions.
Recall that the EIS of a node v can be computed by searching simple paths starting from v; thus, σ T ( v ) = ∑ π ∈ P T ( v ) ∏ e ∈ π w ( e ).
This simple model has no explicit transition density, however, GPEs may be computed by simulating Brownian bridges.
The value of the unknown input symbol is computed by a simple XOR.
Furthermore, the likelihoods of the components from the state-independent GMM are computed only once, with the state likelihoods being computed by a simple weighted combination of Gaussian-level likelihoods.
In the last step of the algorithm, network voltages for each node are computed, by a simple evaluation of voltage drops along the lines, starting from the estimated voltage in the reference bus.
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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