max·i·mal

[mak-suh-muhl]
adjective
of or being a maximum; greatest possible; highest.

Origin:
1880–85; maxim(um) + -al1

max·i·mal·ly, adverb
post·max·i·mal, adjective
sub·max·i·mal, adjective
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World English Dictionary
maximal (ˈmæksɪməl) [Click for IPA pronunciation guide]
 
adj
1.  of, relating to, or achieving a maximum; being the greatest or best possible
2.  maths (of a member of an ordered set) being preceded, in order, by all other members of the set
 
'maximally
 
adv

Collins English Dictionary - Complete & Unabridged 10th Edition
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00:10
Maximal is always a great word to know.
So is callithumpian. Does it mean:
a printed punctuation mark (‽), available only in some typefaces, designed to combine the question mark (?) and the exclamation point (!), indicating a mixture of query and interjection, as after a rhetorical question.
a children's mummer's parade, as on the Fourth of July, with prizes for the best costumes.
Etymonline
Word Origin & History

maximal
1882, see maximum.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

maximal max·i·mal (māk'sə-məl)
adj.

  1. Of, relating to, or consisting of a maximum.

  2. Being the greatest or highest possible.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Example sentences
Starvation would be expected to enhance insulin sensitivity in an effort to use
  any available glucose with maximal efficiency.
Only when someone has a serious investment in resources and time does the
  incentive arise for working to maximal capacity.
The resilience of the two main communities obliges each to recognise the
  impracticality of its maximal demands.
In that compressed language the message is generic in the sense of having
  maximal entropy.
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