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We show the performance of the proposed Dual DO approximation on two numerical test cases: the classical benchmark of a laminar flow around a cylinder with random inflow velocity, and a biomedical application for simulating blood flow in realistic carotid artery reconstructed from MRI data with random inflow conditions coming from Doppler measurements.
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This is an advantage because with the proposed model, researchers can perform an exact logistic or probit ordinal regression without having to do approximations to perform a logistic ordinal regression.
"I think this field really lends itself to be studied like science: looking for patterns, managing problems, and doing approximations; all skills you should have in your math and science training toolbox".
Note that we could also use the straight line r nj r mj to do the approximation, but simulations demonstrate that the r nj ′ r Mj ′ approximation is always better than r nj r mj.
She does a better impersonation of a person than we do an approximation of a dog.
To do the approximation, we created two columns of k: one for MgO and one for SiO2.
We did, however, make approximations using the FFQ data.
If this is done, the approximation will equal the performance of an expression based on least squares which can be derived.
Recently, some works have been done on approximation of a fuzzy number [4, 6, 7, 8, 9, 11] by defining distance functions.
And it has spurred the traditional media into doing some approximation of its job and to devote resources to understanding who Palin is, and by extension who McCain is (in the meanwhile, the National Enquirer, fresh from its John Edwards success, was once again leading the charge).
In contrast to the similar WKB or phase integral approximations, these approximations do not break down in the reflection region (Langer, 1937; Miller and Good, 1953).
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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