Mathematical English Usage - a Glossary

by Jerzy Trzeciak

apart

[from sth; see also: besides, except]

Apart from these two lemmas, we make no use of the results of [4].

That is---apart from the use of relaxed controls---precisely the stochastic Bellman equation.

Apart from being very involved, the proof requires the use of......

for no x apart from the unique solution of......

[Note the difference between besides, except and apart from: besides usually indicates “adding'' something, except “subtracts'', and apart from can be used in both senses; after no, nothing etc., all three can be used.]

Their centers are a distance at least N apart.

The m points x1,…,xm are regularly spaced t units apart.


Go to List of words starting with:
A B C D E F G H I J K L M N O P Q R S T U V W Y Z


Back to main page