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divisor <divisor; divisors> N

common divisor MATH

exact divisor MATH

greatest common divisor COMPUT

highest common divisor MATH

Monolingual examples (not verified by PONS Editors)

English
Any two meromorphic 1-forms will yield linearly equivalent divisors, so the canonical divisor is uniquely determined up to linear equivalence (hence the canonical divisor).
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But since there is no way to express it as the sum of the proper divisors of any other integer, it is an untouchable number.
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All centered square numbers and their divisors have a remainder of one when divided by four.
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Adding up the sums of divisors for 1 through 7 yields 41. 41 is the smallest integer whose reciprocal has a 5-digit repetend.
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Put in another way, a matrix is diagonalizable if and only if all of its elementary divisors are linear.
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No perfect number is untouchable, since, at the very least, it can be expressed as the sum of its own proper divisors.
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The dark form "melanogastrum" has an almost entirely dark abdomen marked with pale segment divisors, the last two of which are reddish.
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For hyperelliptic curves it is also fairly easy to visualize the adding of two reduced divisors.
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The zero-product property is also known as the rule of zero product or nonexistence of nontrivial zero divisors.
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The older terminology was confusing because nef divisors are not the same as divisors numerically equivalent to effective divisors.
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