Sentence examples for is obtained immediately from from inspiring English sources

Exact(5)

According to (4), the conclusion of this theorem is obtained immediately from Theorem 3 and Theorem 4.

The following corollary is obtained immediately from Theorem 1. Corollary 2. Let φ = (φ 1,..., φ n ) be a holomorphic self-map of U n and α > 0.

Similar to the proof of Theorem 3, the conclusion of this theorem is obtained immediately from Lemma 1, Lemma 2, Lemma 3, and Lemma 5.

Consequently, (D lambda)equiv0), which means m_(b,lambda)=-frac{varphi_{2}(b,lambda)}{varphi_{1}(b,lambda )}=- frac{tilde{varphi}_{2}(b,lambda)}{tilde{varphi}_{1}(b,lambda )}=tilde{m}_(b,lambda). (2.18) The result is obtained immediately from the uniqueness theorem in [17] and this completes the proof.

In this case, the optimal alignment cost is obtained immediately from applying Equation 5 for this specific sub-instance, as formulated by term III in the equation.

Similar(55)

The following corollary can be obtained immediately from Proposition 2.9.

Proof The proof can be obtained immediately from Theorem 10.

They can be obtained immediately from Gentzen's sequent-rules for implication.

end{aligned} (H) This formula can be obtained immediately from the following theorem.

Thus, the required result can be obtained immediately from Theorem 3.2.

Thus, the desired result (2.1) can be obtained immediately from (2.2).

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: