Sentence examples for we have ranked from inspiring English sources

Exact(28)

We have ranked them from least likely to flip parties (10) to most likely (1).

For example, in the last several years we have ranked among the top three universities in total gifts.

Since joining the O.E.C.D. in the mid-1990s, we have ranked at the bottom in almost every indicator.

Additionally, over the last 10 years, we have ranked first among our peers in the relative growth in our endowment from gifts.

What bears mentioning is that in the 18 years that we have ranked colleges within their peer groups, the methodology has been continually refined, based on a continuing dialogue with college presidents and admissions deans.

Well, for example, while we have ranked the risks of various types of bioterrorist attacks, we still need to find a way to compare those risks to those presented by, say, cyber-warfare, conventional explosives or other dangers.

Show more...

Similar(32)

Furthermore, rank(B 1)≠0, so we have rank(B 1)=1.

Similarly, we have rank(B 2k )=rank(B 3)=rank(B 4 =1.

As we proved in Lemma 3 in Appendix 2, we have rank(G k ) ≥ 1.

Moreover, considering that Θ is full rank due to its Vandermonde structure, we have rank(G =rank=min(F,R), which implies: min ( F, R ) + min ( N, R ) + min ( P, R ) ≥ 2 R + 2. (43).

Since the dimension of B 1 and T 1 is (N+1)×(N+1), according to the Sylvester's rank inequality [37], we have rank(B 1)+rank(T 1)−(N+1)≤rank(B 1 T 1), then rank(B 1)+rank(T 1)≤N+1.

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: