Mathematical English Usage - a Glossary

by Jerzy Trzeciak

all

[see also: any, each, every, whole, total]

Hence all that we have to do is choose an x in X such that......

Thus, all that remains is to repeat the construction for f in place of g.

All but a finite number of the Gs are empty.

Now E, F and G all extend to U.

a manifold all of whose geodesics are closed [= a manifold whose geodesics are all closed]

They all have their supports in V.

They are all zero at p.

This map extends to all of M.

These volumes bring together all of R. Bing's published mathematical papers.

If t does not appear in P at all, we can jump forward n places.

But Anzn is much larger than the sum of all the other terms in the series ∑ Akzk.

Thus A is the union of all the sets Bx.

the space of all continuous functions on X

the all-one sequence

Any vector with three or fewer 1's in the last twelve places has at least eight 1's in all.

The elements of G, numbering 122 in all, range from 9 to 2000.


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