Mathematical English Usage - a Dictionary

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 $g$.

An examination of the argument just given reveals that this is all we have used.

All but a finite number of the $G_s$ are empty.

Note that any, but not all, of the sets $\alpha h^{-1}$ and $\beta g^{-1}$ can be 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 $A_nz^n$ is much larger than the sum of all the other terms in the series $\sum A_kz^k$.

Thus $A$ is the union of all the sets $B_x$.

the space of all continuous functions on $X$

the all-one sequence

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

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



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