# upper bound

## Primary tabs

Defines:
bound, lower bound, bounded, bounded from above, bounded from below
Type of Math Object:
Definition
Major Section:
Reference
Groups audience:

## Mathematics Subject Classification

### Notation for upper bound

Is there any conventional math symbol which means "a is an upper bound of X"?

Or maybe there is some symbol which means "the set of all upper bounds of X"?

What I want is to write phrase "a is an upper bound of X" symbolically (not by English words).

And dually for lower bounds.
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Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis
* Category Theory - new concepts

### Re: Notation for upper bound

I don't know of anything standard, but

X \leq a

seems to tell the whole story pretty concisely.

Cam