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Then, we improve the previous empirical Bernstein bounds (Audibert et al. 2009; Maurer and Pontil, 2009) [2], [30], and based on such findings, we defend the margin-based explanation against Breimanʼs doubts by proving a new generalization error bound that considers exactly the same factors as Schapire et al. (1998) [39] but is sharper than Breimanʼs (1999) [9] minimum margin bound.
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Look beyond the interface, however, and iTunes 11 could be considered exactly the same as its predecessor.
And it says the men and women doing the counting should consider exactly the same factors that the Gore side wants considered in Florida.
Nor should it be assumed that all cultures will consider exactly the same symptoms as valid markers of distress.
However, it is important to note that none of any waste stream (to be) considered has exactly the same chemical or element composition as the production organism and its product(s), including, e.g., CO2.
A repeat block is considered correct, if exactly the same region in X and the same region in Y are also forming a repeat block in the true alignment.
Even if the computerized scale presented in this study is not exactly the same, we consider us to have included similar tests.
"The customer considers one airline to be exactly the same as another airline," Mr. Crandall said.
That seemed a tad harsh, considering Rooney had scored in exactly the same way at the same end last week, and it was only the fact that Brown tried to get to the ball, whereas City defenders in the derby had stood and watched, that marked one incident as different from the other.
The administration's request for an extra $1.5 billion toward bioterrorism programs will probably be greeted with enthusiasm on Capitol Hill, where Congress is now considering legislation to add almost exactly the same amount to the government's current $350 million budget for bioterrorism.
As shown by Table 1, the two considered implementations did not produce exactly the same results as those obtained by the original PPI algorithm implemented in Research Systems ENVI 4.0.
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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