Sentence examples for distinct best from inspiring English sources

Exact(11)

Also, for simplicity of illustration, we assume that each source has a distinct best relay.

We shall assume that the non-self mapping S has two distinct best proximity points x ′ and  x ″.

For the uniqueness, suppose that (x_{ast}) and (y_{ast}) are two distinct best proximity points of T. Let (s=d(x_{ast},y_{ast})>0).

Moreover, if S has two distinct best proximity points, then d ( A, B ) > 0 and hence the sets A and B must be disjoint.

Assume that z1(≠ z2) ∈ A are two distinct best proximity points of T A ∪ B → A ∪B in A. Thus, Tz1(≠ Tz2) ∈ B are two distinct best proximity points in B. Otherwise, Tz1 = Tz2 ⇒ T2z1 = T2z2 ⇒ z1 = z2, since z1 and z1 are best proximity points, contradicts z1 ≠z1.

Suppose, on the contrary, that x ∗ and y ∗ are two distinct best proximity points of T. Thus, we have d ( x ∗, T x ∗ ) = d ( A, B ) = d ( y ∗, T y ∗ ).

Show more...

Similar(49)

The two sides of town have distinct personalities, best sampled on foot.

Earlier, Germany were a distinct second-best for much of their semi-final clash and Britain coach Kerry felt his side earned their comfortable margin of victory.

Treat Digital Deals Differently: Leading companies develop a distinct process that best suits digital investments.

Two distinct but related best practices powerfully influence enterprise KPI effectiveness: greater KPI transparency and clearer KPI alignment.

Beyond their connections, LPs may provide wider industry insights, distinct perspective and best practices.

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: