Sentence examples for as in the first subcase from inspiring English sources

Exact(1)

Hence, one may continue the proof as in the first subcase.

Similar(59)

Therefore, a set of hash keys is: Because s2 ∈ K1 s2), the hash keys in the second subcase include the hash keys in the first subcase.

In the second subcase, we can approximate the spectral efficiency as Eq. (33), where (P_{1}^{(1)}) and (P_{2}^{(2)}) only decrease the energy efficiency of the system.

In the second subcase, we join P to an odd-length π - path and an odd-length Γ - path.

Taking into account the first subcase (i) and the argument in the Case II, one infers that (g(x_{1},x_{2}) leq0) for all ((x_{1},x_{2}) in {mathbb{D}}).

For the first subcase, when |h 12|2>β|h 21|2, we can approximate the spectral efficiency (27) as Eq. (30).

For the second subcase, we can approximate the spectral efficiency (27) as S_{l}^{text{DRCP}} approx frac{1}{3}left{2} left(1 + gamma_{ml}^{(3)} right).

The second subcase is (N>0).

Bo as in the First Dog.

Finish as in the first example.

Do same as in the first step.

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: