Mathematical English Usage - a Glossary

by Jerzy Trzeciak

relate

[see also: concern, connect, link, tie, associate, pertain, relevant]

We describe how the notion of positivity relates to the other properties.

Theorem 1 relates the quantity a(n) to the quantity b(n). [Not: “with the quantity b(n)'']

There are numerous results in the literature relating spectral conditions to invertibility of f.

Conditions relating to bounds on the eigenvalues appear to be rare in the literature.

The following proposition relates the two definitions.

There is a related result concerning primitivity.

We first replace a(n) by the related and simpler function b(n), where......

There is a family of related examples which includes the space S(M).

Our results are closely related to those of Strang [5].

The above-mentioned measure is of course intimately related to the geometry of the real line.

How are these two optimality notions related? In general, they are not.


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