Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 n. The greatest possible quantity or degree.
 n. The greatest quantity or degree reached or recorded; the upper limit of variation.
 n. The time or period during which the highest point or degree is attained.
 n. An upper limit permitted by law or other authority.
 n. Astronomy The moment when a variable star is most brilliant.
 n. Astronomy The magnitude of the star at such a moment.
 n. Mathematics The greatest value assumed by a function over a given interval.
 n. Mathematics The largest number in a set.
 adj. Having or being the greatest quantity or the highest degree that has been or can be attained: maximum temperature.
 adj. Of, relating to, or making up a maximum: a maximum number in a series.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The highest limit.
 n. The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function.
 n. An upper bound of a set which is also an element of that set.
 n. The largest value of a batch or sample or the upper bound of a probability distribution.
 n. A 147 break; the highest possible break.
 n. A score of 180 with three darts.
 n. A scoring shot for 6 runs.
 adj. To the highest degree.
from the GNU version of the Collaborative International Dictionary of English
 adj. Greatest in quantity or highest in degree attainable or attained
 n. The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree;  opposed to
minimum .
from The Century Dictionary and Cyclopedia
 n. The greatest amount, quantity, or degree; the utmost extent or limit: opposed to minimum, the smallest.
 n. In mathematics, that value of a function at which it ceases to increase and begins to decrease.
 Greatest: as, the maximum velocity.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 adj. the greatest or most complete or best possible
 n. the greatest possible degree
 n. the largest possible quantity
 n. the point on a curve where the tangent changes from positive on the left to negative on the right
Etymologies
Examples

This is an interactive kinda thing, as he challenges his readers, Reply with a title maximum of four words about which you'd like me to write a fast fiction of exactly 200 words, together with a single word you want me to include in the text of the tale.

POMEROY: Well, as far as tonight goes, we already were at what we call maximum deployment.

National police commissioner George Fivaz said he agreed farmers should take what he described as maximum selfdefence steps, but within the ambit of the law.

Very little drop in maximum velocity and very accurate.

The maximum is a year in jail, but the new law would have permitted up to five years.

Microusb is far inferior in maximum bandwidth, electrical interference, and physical strength.
Coyote Blog » Blog Archive » The Technocratic StandardSetting Urge

And even if the official bearish projections turn out to be true, the shortfall could be made up easily by subjecting investment income to Social Security taxes, and by eliminating the cap that exempts wage income above a certain maximum ($68,400 in 1998).
Defending Social Security, Arnold Kling  EconLog  Library of Economics and Liberty

And Fed officials framed their decision as being designed to fulfill its "dual mandate" to maintain maximum employment and stable prices.

So locking someone up in maximum security and putting them on trial for mass murder or attempted mass murder (with the death penalty as a potential outcome) is treating them “nicely”?
Matthew Yglesias » The AntiTerror Right’s Incentive Problem

I believe that once a few corporate executives are found guilty and sent to be rehabilitated for dozens of years in maximum security federal prisons, existing companies will be far more careful about how they conduct business.
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