Sentence examples for first observe that from inspiring English sources

Suggestions(1)

Exact(60)

Proof First observe that (3.3).

First observe that If, then.

First observe that is an -Lipschitz monotone mapping and.

We first observe that ( R 1, ρ ) is a metric space (see Proposition 4.1 below).

First observe that (widetilde{mathscr{M}}) obviously admits the mean value property.

First observe that ({x_{n}}) is well defined because (S_{h(x)}) is bounded and (lambda'

To apply Lemma A to f and φ, we first observe that T f ∈ Δ f, φ.

To prove it, we first observe that { ( S n, j ∗, G j ), j ≤ n } is a martingale.

We first observe that, as compared with the partial-CSI scheme (see Figure 3), the waterfilling strategy obviously improves the capacity results.

First, observe that i is smaller than all the values in Rgroup g.

First observe that for all.

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: