Sentence examples for as we depicted from inspiring English sources

As we depicted in the abstract of this paper, Bruck-Reilly, its general version generalized Bruck-Reilly ∗-extension of monoids and semigroup classes are not only important in combinatorial algebra but also in linear algebra, discrete mathematics and topology.

As we depicted in the abstract, semigroup classes have important applications in various fields of mathematics, such as matrix theory, discrete mathematics and p-adic analysis (especially in operator theory).

As we depicted in the abstract of this paper, while graph theoretical studies actually consist of some fixed point techniques, so they have been applied in different branches of science such as chemistry (in the meaning of atoms, molecules, energy etc).

Pictures for groups: As we depicted in Remark 2, a group picture ℙ over P is a geometric configuration consisting of the following: A disc D 2 with a basepoint O on the boundary ∂ D 2 of D 2. Disjoint discs Δ 1, Δ 2, …, Δ n in the interior of D 2. Each Δ i has a basepoint O i on the boundary ∂ Δ i of Δ i.

The stained samples were examined using an inverted microscope as we depicted above.

All images were taken using a CCD camera as we depicted above.

For this larger set, the advantage of unbalancing the distribution of VMs is even more visible, as we depict in Figure 3.

I translate that into something straightforward as we depict in the story.

The model Forel and colleagues employed does not fully overcome length- and time-dependent bias, as we depict in Figure 1a,b.

As we depict in Figure  4C, only G4 had a strong correlation between disorder and antigenicity; coincidentally, G4 is the only group that has undergone positive selection (Table  1).

Electron density from the C-terminal disulfide is not present in the crystal structure of DmTR, but our modeling studies show that His464 can be placed close to the sulfur atom of Cys489 as we depict in Figure 2A, demonstrating the feasibility of our proposed mechanism.