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residually

[ri-zij-oo-uh-lee]

adverb

in a residual manner.

Mathematics. with an element in the directed set such that for every element in the directed set in relation to the given element, the corresponding element of the set is in some given set.

Origin:
residual + -ly

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Residually is always a great word to know.

So is function. Does it mean:

a relation between two sets in which one element of the second set is assigned to each element of the first set, the operator

a variable in a functional relation whose value determines the value or values of other variables, such as x in the relation y = 3x

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Collins

World English Dictionary

residual (rɪˈzɪdjʊəl)

—*adj*
1.	of, relating to, or designating a residue or remainder; remaining; left over
2.	(of deposits, soils, etc) formed by the weathering of pre-existing rocks and the removal of disintegrated material
3.	of or relating to the payment of residuals

—n
4.	something left over as a residue; remainder
5.	statistics
	a. the difference between the mean of a set of observations and one particular observation
	b. the difference between the numerical value of one particular observation and the theoretical result
6.	(often plural) payment made to an actor, actress, musician, etc, for subsequent use of film in which the person appears

re'sidually

—*adv*

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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residually

re·sid·u·al·ly