Suggestions(2)
Exact(3)
This matrix square root can be computed, for example, with Cholesky decomposition.
where P(δ i ) is probability associated with knowledge unit δ i and n is the number of KUs in Δ. Global mastery of the domain Δ can be computed, for example, as: frac{sum P delta_{i})}{n} (8).
This (mathsf{hocolim}_I) can be computed for example by Proposition 9.13, and then it is clear that it lies in any triangulated subcategory in ({text {Ho}}(mathsf{Ind},mathcal {C})) that contains ({text {Ho}}(mathsf{Ind},mathcal {C})) and is closed under all sums.
Similar(57)
Then, in order to compare the results with the ones in previous publications and to reveal the applicability of various theories of stability, the critical solutions with continuous cross-sectional areas are computed for several examples by applying various theories of stability.
A probability is computed for each training example, and the threshold is computed according to these probabilities.
In the incremental mode, BP algorithm does not always converge to a local minimum because the gradient used for the weights adjustment is computed for a single training example.
Optimal designs are computed for illustrative, but simplistic, examples.
RF-envelopes are computed for a variety of examples.
Harmonic and p-harmonic maps are computed for a variety of numerical examples.
Also, numerical examples are computed for an anisotropic laminates having stacking sequences such as sand [θ/θ + 90]s, to investigate the effect of fiber orientation on fundamental frequencies and specific damping capacities.
In a series of numerical examples, effective conductivities are computed for random checkerboards containing up to 104 squares with conductivity ratios of up to 106.
Write better and faster with AI suggestions while staying true to your unique style.
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