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Exact(6)
Initial VMs capacity for the vCell is computed from the implementation of equation 9.
A direct form implementation of Equation 1 can be achieved using a transmultiplexer (TMUX) realization.
where: k = 0, … N - 1 W N = e - 2 π i / N. The direct implementation of Equation (1) is O N2) which makes it difficult to meet typical throughput requirements.
The following theorem identifies the quantities that should be estimated by each node for strict implementation of Equation 12: Theorem 3 Suppose that U i (x) = x for all i.
The time taken by the M2L kernel (using double precision without vectorisation) as function of expansion order p. The rotation accelerated version of Appendix A.6.2 is faster than the direct implementation of equation (3b) for p ≥ 5. Let us first consider the tree code, which also uses the multipole expansion but is algorithmically simpler than FMM.
An important requirement for the implementation of Equation 5 is the accurate estimation of E[wijprior] and σijprior.
Similar(54)
Because similar sequence can be determined directly for the coordinates of individual units, an expanded implementation of L (Equation 3) can now be produced (Equation 4) that takes advantage of the MapReduce parallelization pattern.
Validation of the finite element model was done by performing two-bar truss analysis via both exact solution (implementation of element equation) and finite element computation using ANSYS.
To accurately account for this effect, it necessarily requires an additional numerical modification process based on experimental data or an implementation of Morison equation.
A vector-space implementation of the equation that has been known as Hamilton's Law of Varying Action is used with a non-virtual perspective to generate direct solutions to nonlinear initial value response problems in the time domain.
In practice I always did an implementation of the equation myself in Mathematica.
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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