#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## continuous

the space of all continuous functions on X

We note that H is in fact not Lipschitz continuous if this condition
is violated.

a function continuous in space variables

More precisely, f is just separately continuous.

The map f, which we know to be bounded, is also
right-continuous.

To be precise, A is only left-continuous at 0.

a function continuous from the right

We follow Kato [3] in assuming f to be upper semicontinuous.

Examples abound in which P is discontinuous.

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