Suggestions(2)
Exact(3)
For the ILS problem of minimizing (z−z f ) T W f (z − z f ), the absolute lengths of the basis vectors are not important since they can be made arbitrarily small without affecting the solution to the ILS problem [20], even though making the reduced basis as short as possible has been a goal of reduction.
Given the basis b 1, b 2, …, b m (assumed to be linearly independent as in the above), the Gram-Schmidt orthogonalization aims at making the reduced basis as orthogonal as possible and proceeds as follows: b i ∗ = b i − ∑ j = 1 i − 1 μ ij b j ∗, (2a).
But after a few months of making the reduced payments, she said she received a foreclosure threat in March and that someone from GMAC collections called to say she owed money.
Similar(57)
Therefore, if there are multiple solutions which make the reduced form coefficients compatible with the structural coefficients, the model is underidentified.
The thermal treatment makes the reduced GO resemble graphene, whose conductivity is comparable to that of doped conductive polymers, but with some residual oxygen and structural defects [12].
The fact that financial markets cannot foresee the time of default of a company makes the reduced-form models well accepted by practitioners.
After the Rasch analysis, the items that finally made up the reduced version of the questionnaire were numbered.
Serve with mint sauce or gravy made of the reduced drippings.
The SiO2 passivation enhanced the photoresponse properties (i.e., reduced rise and reset times), but it made the photocurrent reduced.
To make the damage reduced to an absolute minimum, new treatment fluid must be developed.
However, one can see from Table 6 that the post-process makes the error reduced by a factor of (15{sim}20).
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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