Ads
related to: positive and negative divisorsIt’s an amazing resource for teachers & homeschoolers - Teaching Mama
- Printable Workbooks
Download & print 300+ workbooks
written & reviewed by teachers.
- Lesson Plans
Engage your students with our
detailed lesson plans for K-8.
- 20,000+ Worksheets
Browse by grade or topic to find
the perfect printable worksheet.
- Worksheet Generator
Use our worksheet generator to make
your own personalized puzzles.
- Printable Workbooks
Search results
Results from the WOW.Com Content Network
A divisor of an integer n is an integer m, for which n/m is again an integer (which is necessarily also a divisor of n). For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n, then so is −m. The tables below only list positive divisors.
Divisors can be negative as well as positive, although often the term is restricted to positive divisors. For example, there are six divisors of 4; they are 1, 2, 4, −1, −2, and −4, but only the positive ones (1, 2, and 4) would usually be mentioned. 1 and −1 divide (are divisors of) every integer.
Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. [ 1 ] For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0 ...
The key trichotomy among compact Riemann surfaces X is whether the canonical divisor has negative degree (so X has genus zero), zero degree (genus one), or positive degree (genus at least 2). For example, this determines whether X has a Kähler metric with positive curvature , zero curvature, or negative curvature.
(An R-divisor is defined to be ample if it can be written as a positive linear combination of ample Cartier divisors. [34]) An elementary special case is: for an ample divisor H and any divisor E , there is a positive real number b such that H + a E {\displaystyle H+aE} is ample for all real numbers a of absolute value less than b .
The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.
In these examples, the (negative) least absolute remainder is obtained from the least positive remainder by subtracting 5, which is d. This holds in general. When dividing by d, either both remainders are positive and therefore equal, or they have opposite signs. If the positive remainder is r 1, and the negative one is r 2, then r 1 = r 2 + d.
Prime number: A positive integer with exactly two positive divisors: itself and 1. The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ... Composite number: A positive integer that can be factored into a product of smaller positive integers. Every integer greater than one is either prime or composite.
Ads
related to: positive and negative divisorsIt’s an amazing resource for teachers & homeschoolers - Teaching Mama