The proof of Theorem 2 is shown in Appendix 2. Theorem 2 shows that sampling subgraphs of G 1, rather than the whole network G, is sufficient to infer the cascade source, which greatly accelerates the algorithm when the whole network is much larger than the cascade snapshot A τ. Next, we deal with unknown cascade starting time, i.e., unknown τ.
In fact a recent dose response study using conventionally processed cocoa powder in ever increasing amounts has found that as little as 5 g is sufficient to elicit significant vasodilation of the brachial artery, as measured by Flow Mediated Dilation [27].
7 The protein is stable in stool samples for up to seven days at room temperature and one sample of less than 5 g is sufficient for a reliable measurement.
Even though our pooled sample size was smaller than the ANVISA recommendation of 200 g for fecal-coliform analysis, the samples with 25 g were sufficient to detect a high level of contamination.
An active response against UV-inactivated VSV suggested that nucleic acids are not the targeted markers; rather, the viral glycoprotein VSV-G was sufficient to induce autophagy.
In our experiments, manipulation of G protein cascades (Go/i) never completely abolished odor responses, suggesting that a strongly reduced titer of G proteins is sufficient for the response, or that the G proteins studied here are simply a component of the transduction cascade.
Thus, in view of begin{aligned} {{mathrm{Hall}}}_pi (G subseteq {{mathrm{m}}}_pi (G subseteq {{mathrm{sm}}}_pi (G), end{aligned}it is sufficient to prove ({{mathrm{sm}}}_pi (G subseteq {{mathrm{Hall}}}_pi (G)).
The N-terminal domain (residues 1 120) of Ntr1 containing the G-patch is sufficient to interact with the Prp43 helicase and mutations in conserved residues of the G-patch domain disrupt the interaction [ 46].
If metal (Fe) concentration is 2 g m−3 or more, then 800 g m−3 PY is sufficient to make biodiesel stable for 5.5 months.
We note that the inequality c r c > c r − 1 holds true for all ( r, c ) ∈ Ω 2. Now, in order to deduce that γ > g ( s ) it is sufficient to prove that c r − 1 > g ( s ).
