Dictionary Definition
aliquot adj : signifying an exact divisor or
factor of a quantity n : an integer that is an exact divisor of
some quantity; "4 is an aliquot part of 12" [syn: aliquot
part] [ant: aliquant]
User Contributed Dictionary
English
Pronunciation
IPA: /'ælɪkwɒt/Adjective
aliquot contained in the whole an integral number of times

 usually in the phrase aliquot part
 …the meal should be divided in aliquot parts among the members of the sick and indigent roomkeeper’s association as a token of his regard and esteem. (Joyce, Ulysses'')

Translations
contained an integral number of times
 Spanish: alícuota
Noun
 a portion of a total amount of a solution
Numeral
aliquot Some (more than one); several.
Declension
Indeclinable.Extensive Definition
In mathematics, an aliquot part
(or simply aliquot) of an integer is any of its integer proper
divisors. For instance, 2 is an
aliquot of 12. The sum
of all the aliquots of an integer n is the value s(n) = σ(n)  n ,
where σ(n) is the sum of
divisors function.
In chemistry, an aliquot is
usually a portion of a total amount of a solution.
The word is derived from the Latin
aliquoties, "several times".
In pharmaceutics, aliquot
refers to a method of measuring ingredients below the sensitivity
of a scale. For
example, if a scale is inaccurate for samples under 120 mg, but the
prescription calls
for only 40 mg of drug, an aliquot must be done. This involves
adding active ingredient and a proportional amount of diluent to make a "stock"
supply. In this case, 120 mg active drug must be weighed and mixed
with diluent. Once this stock supply is made, at least 120 mg of
this mixture will be taken out and used (as long as this portion
contains exactly 40 mg of active drug).
Music
In the construction of string instruments often aliquot parts of the scale length are being used to enhance the timbre of musical instruments. In pianos the aliquot stringing system is sometimes used. NonWestern traditional instruments with sympathetic strings make also use of timbre enhancing based on aliqout stringing and string resonance. The aliquot position (1/7th of the scale length) of the bridge on a violin is also important for the sound of the instrument.Land Surveying
An aliquot part, in the U.S. Public Land Survey System, is the standard subdivision of area of a section, (a.k.a. a half section, quarter section, or quarterquarter section). One section of land is a square mile, containing 640 acres (but actual lines as run in the field can produce varying area totals).Egyptian fraction arithmetic
The aliquot parts of the denominator of the first
partition of 2/p conversions to Egyptian fractions was used 25
times in the 1650 BCE RMP 2/n
table. The method was in use as late as the Liber Abaci,
a text written by Fibonacci in 1202 AD. F. Hultsch first noticed
the aliquot part use in 1895. E.M. Bruins confirmed its use in
1945. Today, the use of aliquot parts in Egyptian fraction
arithmetic is know as the HultschBruins method.
Aliquant
Differently, an aliquant part (or simply aliquant) is an integer that is not an exact divisor of a given quantity. For instance, 7 is an aliquant of 16. All numbers which are greater than half of a given quantity, except itself, are aliquants of the given quantity.So, the aliquants of an integer n include all the
positive integers m smaller than n that are coprime to n (i.e.
gcd(m,n) = 1) and all positive integers m smaller than n that are
not coprime to n while not dividing n (i.e. 1 < gcd(m,n) <
m), which means that the aliquants of n are all the m with gcd(m,n)
< m, the aliquots of n being all the positive integers m smaller
than n for which gcd(m,n) = m, that is all the proper divisors of
n. Consequently, the number of aliquants of n and the number of
aliquots of n sums to n  1.
See also
External links
aliquot in German: Aliquot
aliquot in Dutch: Aliquot
aliquot in Russian: Аликвота
aliquot in Thai: ส่วนลงตัว
Synonyms, Antonyms and Related Words
algorismic, algorithmic, cardinal, decimal, differential, digital, even, exponential, figural, figurate, figurative, finite, fractional, imaginary, impair, impossible, infinite, integral, irrational, logarithmic, logometric, negative, numeral, numerary, numerative, numeric, odd, ordinal, pair, positive, possible, prime, radical, rational, real, reciprocal, submultiple, surd, transcendental