Sentence examples for graphs implies that from inspiring English sources

Suggestions(1)

Exact(1)

From Figure 4, it is clear that all three sub-maps have few nodes with degree higher than 2, particularly in the cartilage sub-map (Figure 4C)), which has no proteins of degree larger than 2. The low number of hubs in the graphs implies that, from the analysis of these three sub-maps, we are not able to identify many potential drug target sites within each tissue type.

Similar(59)

Gaps in the graphs imply that there were no articles published or no entity of the subclass was mentioned.

Computer-assisted image quantification (top graphs) implied that the rate of F-actin redistribution to the T/APC contact (hence cytoskeleton plasticity) was generally lower in the mutant vs. conventional tg T cells (despite higher steady-state levels), and lower in P14 vs. H-Y TCR-expressing cells (4.5× vs. 7.4× at 30 min).

These graphs imply that it is very important to exercise sufficient caution in using social distancing.

The shape of the contour lines differs between the graphs, implying that the optimal dose for reducing the attack rate may not be optimal for reducing the effective R and that the optimal dose can be strongly influenced by assumptions about the infectivity of breakthrough cases.

If is a maximal planar graph then is a simple planar bipartite graph, implies that by Lemma 2.5.

The above equality holds if and only if d G 1 ( u i ) = d G 1 ( u k ) for any u i, u k ∈ V ( G 1 ) and d G 2 ( v j ) = d G 2 ( v ℓ ) for any v j, v ℓ ∈ V ( G 2 ), that is, both G 1 and G 2 are regular graphs, which implies that G 1 ∘ G 2 is a regular graph.

The equality holds in (25) if and only if d G 1 ( u i ) = d G 1 ( u k ), u i, u k ∈ V ( G 1 ) and d G 2 ( v j ) = d G 2 ( v ℓ ), v j, v ℓ ∈ V ( G 2 ) (by Lemma 1), that is, both G 1 and G 2 are regular graphs, which implies that G 1 ∘ G 2 is a regular graph.

In addition to these observations, the centralized topology of diversity graphs further implies that the cellular response to single-gene knockouts rarely affects by-production.

Since ({{mathrm{dom}}}(Upsilon )=mathfrak {H}_2), it follows that (Upsilon ) is closed, and the closed graph theorem implies that (Upsilon :mathfrak {H}_2rightarrow mathcal {H}^2) is bounded.

It is known that a monotone mapping M is maximal if and only if for ( x, f ) ∈ H × H, 〈 x − y, f − g 〉 ≥ 0 for every ( y, g ) ∈ Graph ( M ) implies that f ∈ M x.

Show more...

Ludwig, your English writing platform

Write better and faster with AI suggestions while staying true to your unique style.

Student

Used by millions of students, scientific researchers, professional translators and editors from all over the world!

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

Get started for free

Unlock your writing potential with Ludwig

Letters

Most frequent sentences: