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As in Proposition 3.6, for every index (iin{1,ldots,N}) such that (beta_{n,i}tobeta_{i} neq0) (which leads to (0
Then there exists for every index i ∈ I a simple submodule S i of M i, say with inclusion map u i : S i → M i, such that for every simple module S and I ( S ) = { i ∈ I ∣ S i = S } the family ( u i : S → M i ) i ∈ I ( S ) is a fork.
As in Proposition 3.6, for every index (iin{1,ldots,N}) such that (beta_{n,i}tobeta_{i} neq0) (which leads to (0
For any (0 leq p leq1) and (k>0), the null space constant (NSC) (h p,A,k)) is the smallest number such that: sum_{i inOmega}|x_{i}|^{p} leq h p,A,k) sum_{i notinOmega}|x|^{p} (5) for every index set (Omegasubset{1,2,ldots,n}) with (|Omega| leq k) and every (x in operatorname{Ker}(A)setminus{mathbf{0}}).
As in Lemma 3.5, for every index (iin{1,ldots,N}) such that (beta_{n,i}tobeta_{i} neq0) (which leads to (0
We will recruit two or more comparison participants for every index participant.
Similar(51)
Since this holds for every user index, one immediately concludes that.
It is about as negative as it ever has been, with the ETFs for every major index showing no more than +2% upsides while carrying downside exposures of -5% to -10%, or even more.
> -wrap-foot> Sase as Table 2, except based on data from subjects older than 50 years) Table 4 presents the means and standard errors of the mean, along with the corresponding medians, for every ONH index for each of the three groups of subjects restricted to women older than 50 years.
The generalized Sobolev space is the class of functions on such that for every multi-index with, endowed with the norm.
where the initial forward and backward variables for every state indexes i are α0(i -1 and β T (i -1 1.
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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