Sentence examples for explicitly observe that from inspiring English sources

We explicitly observe that under assumptions (h0), (h1), ((mathrm{h}'_{2})), ((mathrm{h}'_{3})) and (h4), the operator L W^{2,2}_{s} varOmega )rightarrow L^{2}_{s} varOmega ) (33) is bounded, as consequence of Theorem 3.4 and Theorem 3.5.

We explicitly observe that, in view of Theorem 5.1 in [11], under the assumptions (h0 -((mathrm{h}'_{3})), the operator L :W^{2,2} varOmega )to L^{2} varOmega ) (27) is bounded.

Indeed, some functionalists explicitly observe that their account is consistent with dualism (see Block 1980).

We explicitly observe that for l = 0 the above mentioned definition gives the half-space R + n.

We explicitly observe that in Theorem 1.1 impulsive effects I j, j = 1, …, n, (that is, I j ( x ) = x for all x ∈ R ) are linear, contrary to the usual assumption of sublinearity of impulses; see [14, 16, 20 22] and [23].

(2.1) We explicitly observe that by construction, the set Ω is decomposed into two components (Omega =Omega_{1 varepsilon}cupoverline{Omega_{2 varepsilon}}) where (Omega_{1 varepsilon}) is a connected set while (Omega_{2 varepsilon}) is a disconnected union of ε-periodic disjoint translated sets of (varepsilon Y_{2}).

One study explicitly observed that specific instructions are needed to ensure the research participants create a diagram and not another form of written material[ 32], such as a drawing or table.

In support of the suggestion that the association between formaldehyde exposure and NPC would not appear to be significant if the Plant 1 findings are excluded, the authors explicitly observed that "Summary estimates for nasopharyngeal cancers were not elevated, after excluding a single plant with an unexplained cluster of nasopharyngeal cancers (cohort RR = 0.72, 95% CI: 0.40, 1.28).

We can observe that system (40) can be computed explicitly without using any numerical integration techniques.

From the literature, we observe that learner modeling using educational games can be achieved explicitly or implicitly.

Listen and observe that chemistry.