Mathematical English Usage - a Glossary

by Jerzy Trzeciak

understand

[see also: mean, know, realize, recognize, grasp]

When we talk of a complex measure, it is understood that μ(E) is a complex number.

The first equality is understood to mean that......

The ideal is defined by m=......, it being understood that......

To understand why, let us remember that......

Our development will require a detailed understanding of cozero covers.

Thus it is reasonable to attempt using this homeomorphism to gain an understanding of the structure of M.

It is hoped that a deeper understanding of these residues will help establish new results about the distribution of modular symbols.


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