#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## over

Note that F is the product over the integers m in B.

Hence V(x) is the maximum value of J_{x}(v) over all controls v.

......where E runs over the family B.

To show the greater simplicity of our method over Brown's, let us......

The method of proof carries over to domains satisfying......

The equation PK=0 then goes over to QK=0.

Here s takes over the role of the time parameter.

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