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Therefore, the quasi-Newton method approximates the matrix by some efficient method using the first derivatives, the gradient.
The logarithm pseudo-likelihood function L is defined by (16) L = log ∏ n = 1 N ∏ i ∏ j P r (r i j (n ) | r N i j (n ), m (n ), a (n ), b (n ), θ ) We employ the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method [ 24] to find parameters θ maximizing L, which is a quasi-Newton method that approximates the Hessian matrix by some efficient method using partial differentials.
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Based on some kind of active set strategy, the discrete obstacle problem can be reduced to a sequence of linear problems, which are then solved by some efficient methods.
Zr Cu Ni Al quaternary amorphous alloy compositions with varying glass-forming ability are developed by an efficient method of proportional mixing of binary eutectics.
The method approximates the tails of the univariate extreme distributions of the responses by using the shifted generalized lognormal distributions, in which the model parameters are estimated by an efficient method called the extrapolation method.
Zinc oxide (ZnO) nanocrystals attached to graphene nanosheets (GNs) have been fabricated by an efficient method, consisted of (i) microwave heating, (ii) modified Hummers' method, and (iii) homogenizing dispersion.
RNA was amplified by an efficient method of high-fidelity mRNA amplification, called TALPAT (T7 RNA polymerase promoter-attached, adaptor ligation-mediated, and PCR amplification followed by in vitro T7-transcription) [24 28].
The mRNA was amplified by an efficient method of high-fidelity mRNA amplification, called TALPAT (T7 RNA polymerase promoter-attached, adaptor ligation-mediated, and PCR amplification followed by in vitro T7-transcription) (Aoyagi et al, 2003; Kobayashi et al, 2004; Nakamura et al, 2006).
"We conclude that spinoffs create value primarily by providing an efficient method of transferring control of corporate assets to acquiring firms," the report says.
Firstly, impulse noise is detected by the proposed efficient method, and one of 3 × 3, 5 × 5, and 7 × 7 dynamically weighted median filters (DWMs) is applied according to the number of noisy pixels in windows.
While you can easily use the method above in binary, we can subtract by a more efficient method as well, which saves time when programming computers to divide binary numbers.
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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