Mathematical English Usage - a Dictionary

by Jerzy Trzeciak

understand

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

When we talk of a complex measure, it is understood that $\mu(E)$ 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 ......

By quasi-equation we understand a sentence of the form ......

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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