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Similar patterns hold when restricting to geographical subgroups and with other robustness tests.
Interestingly, when restricting to June 2013 there is minimal overlap between Twitter and Tumblr (cf Table 3).
We also give lower bounds for the best constant of equivalence between the numerical radius and the operator norm in Lp for atomless μ when restricting to rank-one operators or narrow operators.
The result is a combinatorial method of constructing primary decompositions that, when restricting to the special case of binomial ideals, coincides with the method introduced by Kahle and Miller.
In general the excess is higher before age 65 years, for vascular causes the excess is significant only when restricting to deaths before age 65 years.
As with the factors, the impact of imputed data on the results was generally small with the largest differences occurring when restricting to observed data only.
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The second equality is true because when restricted to E0, p α (h)=p(h); and when restricted to E 0 c, p α (h)=p ′(h).
This difference was attenuated when restricted to TL injuries only (RR = 1.78; 95%% CI 1.21-2.64), but higher when restricted to concussions only (RR = 4.51; 95%% CI 1.89-11.03).
We characterize the irreducible representations of G that remain irreducible when restricted to Γ.
The problem is NP-hard even when restricted to just not equal constraints.
A Severaledges is said to be a " -valid matching" if for all with, we have.
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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