divisor
Language: English
Part of speech: noun
Pronunciation: ipa: /dɪˈvaɪ.zə(ɹ)/
enpr: dĭ-vīʹ-zər
ipa: /dɪˈvaɪ.zɚ/
homophone: diviser
rhymes: -aɪzə(ɹ)
Forms: form: divisors
Senses: examples: text: In "42 ÷ 3" the divisor is the 3.
topics: arithmetic
glosses: In an expression involving division, the number by which another number is being divided.
examples: text: 10 is a divisor of 100, but not of 101.
text: The positive divisors of 6 are 1, 2, 3 and 6.
glosses: An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
topics: algebra
mathematics
sciences
glosses: An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
A ring element which can be multiplied (by some other ring element) to yield a third ring element, the first being called a divisor of the third. If the ring is noncommutative, then one specifies whether a divisor is left, right, or two-sided.
topics: algebraic-geometry
geometry
mathematics
sciences
glosses: Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces.
An element of the free abelian group on the points of the space.
raw_tags: in the study of Riemann surfaces
topics: algebraic-geometry
geometry
mathematics
sciences
glosses: Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces.
A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
qualifier: on a variety (or integral locally Noetherian scheme)
topics: algebraic-geometry
geometry
mathematics
sciences
glosses: Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces.
A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia
qualifier: on a variety (or integral Noetherian scheme)
Derived terms: divisor function
divisorial
greatest common divisor
nondivisor
proper divisor
zero divisor
Related terms: word: successor
sense: addition, summation
english: addend; total
translation: addend; total
alt: augend
word: + =
sense: addition, summation
english: sum
translation: sum
alt: summand
word: + +... =
sense: subtraction
roman: subtrahend
english: difference
translation: difference
word: − =
sense: multiplication, factorization; multiplier
roman: multiplicand
english: product
translation: product
word: × =
sense: multiplication, factorization; factor
english: factor; factor; product
translation: factor; factor; product
word: × ×... =
sense: division; dividend
roman: quotient
word: ÷ =
sense: numerator) / (denominator) = (quotient
english: with remaining
translation: with remaining
alt: quotient
word: Or sometimes
sense: exponentiation; base
english: power
translation: power
alt: exponent
word: =
sense: root extraction; degree
roman: radicand
word: √ =
sense: logarithmization
english: logarithm
translation: logarithm
alt: antilogarithm
word: log(base) =