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The d eigenvectors which correspond to the d smallest non-zero eigenvalues of M yield the final embedding Y.
Differentiating (2.10) m times with respect to q and then setting q = 0, and finally dividing the resulting equations by m! yield the m th-order deformation equations: (2.12).
We conclude that the models with resistivities of 500 1,000 Ω m yield the appropriate resistivity values for zone R. Fig. 10 Comparison of MT responses between the optimum model and the models with assumed values of resistivity in zone R. Solid gray lines indicate the responses of the optimum model.
Specific parameters are as follows: MSGLW-500/22 × 2,400, diameter: ϕ22 mm, length: 2.4 m, yield strength: 500 MPa, elongation: 20 %. 13 bolts are arranged in each row (arch arranged 9, wall arranged 2 on each side) and interval & row spacing is 900 × 900 mm.
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Sum of the inequality (8) from h m to h M yields (9).
This assumption might rest on the idea that any belief M yields is, at best, accidentally correct, if in any circumstances M yields a false or an accidentally correct belief (Luper 1987b,c).
The opening of 1.97 m yields a volume increase of 2.7 × 106 m3.
A 252Cf neutron source positioned at a distance of 2.0 m yielded an absolute neutron detection efficiency of 0.73 cps ng−1.
Slug tests at depths between 0.45 and 11.2 m yielded Kv values ranging from 0.0284 to 9.46 m/d assuming an anisotropy ratio of 0.1.
Sharpening simulated Landsat thermal maps (60 and 120 m) to Landsat VI resolution (30 m) yielded errors of 1.8 2.4 °C, while sharpening simulated GOES thermal maps from 5 km to 1 km and 250 m yielded RMSEs of 0.98 and 1.97, respectively.
On this assumption, we can rule out a method of belief formation M as a source of knowledge merely by sketching circumstances in which M yields a belief that is false or accidentally correct.
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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