Sentence examples for defining 1 from inspiring English sources

Exact(5)

By combining λ and μ i and defining 1 / ln 2 λ + μ i = φ i as the power loading (water-filling (WL)) level needed to pour limited power into the sub-channel j ( j ∈ N ), the water level can be uniquely determined from a total power budget average concept, in which φ i can be obtained from derivation by making (21) equal to zero with N i, j − 1 as given in (20).

Subsequently, we evaluated the accuracy of administrative databases in defining: 1) the UC study population; 2) preoperative risk factors; and 3) postoperative complications.

The second approach to test the effects of birth-weight and genetic/familial risk was to use standard regression analysis but this time defining (1) genetic and (2) familial risk according to cut points on the depression questionnaires for (1) the co-twin and (2) the mother.

That is, defining (1) P = P ′ ⋅ P ″ = P ′ M - 2 × 2 M + 1 it is implicitly asserted that the probability that a catalyst catalyzes a given reaction is not independent of the probability that it catalyzes another reaction - but why would considering a bigger reaction space make catalysis less likely?

The lack of mutually exclusive indicator variables in defining 1 + RSD and need for general dental treatment has meant that issues of the potentially compounding nature of 2 or more characteristics of RSD and/or 2 or more general treatment screening criteria have not been built into the system.

Similar(55)

Defining {1,2,…,L} as the indexes of the bottleneck users, we have h l + g l T x = λ, l = 1, …, L ∥ x ∥ = 1.

In fact, defining (3.15).

Then, by defining (35).

By defining (8).

This is sort of the defining 24 to 36 hours".

Proof of Theorem 1.2for negative solutions: The proof for negative solutions can be carried out in a similar fashion by using t n < 0, defining1 + u n = − 1 + t n − 1 ( θ 1 ϕ 1 + u n ⊤ ) < 0, − 1 + v n = − 1 + t n − 1 ( θ 2 ϕ 1 + v n ⊤ ) < 0, and using − | s | α 2 instead of s α 1 in applying Fatou's lemma using (H4−) and reversing the inequalities appropriately.

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: