n. a term used widely until the 1970s to describe various women's undergarments such as girdles, bustles, corsets, etc. Girdles and corsets slimmed down the moderately obese lady who could tolerate them. Corsets also gave an hourglass figure to a thin person, such as Scarlett O'hara.
Mrs. Gottrocks went to the foundations department at Neiman Marcus to check out the lastest styles in girdles.
by Richard Black October 10, 2005
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"To survive on the streets is rough. You need to be ghetto fundamental if you want to make it these days."
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The fundamental theorem of arithmetic states that {n: n is an element of N > 1} (the set of natural numbers, or positive integers, except the number 1) can be represented uniquely apart from rearrangement as the product of one or more prime numbers (a positive integer that's divisible only by 1 and itself). This theorem is also called the unique factorization theorem and is a corollary to Euclid's first theorem, or Euclid's principle, which states that if p is a prime number and p/ab is given (a does not equal 0; b does not equal 0), then p is divisible by a or p is divisible by b.
Proof: First prove that every integer n > 1 can be written as a product of primes by using inductive reasoning. Let n = 2. Since 2 is prime, n is a product of primes. Suppose n > 2, and the above proposition is true for N < n. If n is prime, then n is a product of primes. If n is composite, then n = ab, where a < n and b < n. Therefore, a and b are products of primes. Hence, n = ab is also a product of primes. Since that has been established, we can now prove that such a product is unique (except for order). Suppose n = p sub1 * p sub2 * ... * p subk = q sub1 * q sub2 * ... * q subr, where the p's and q's are primes. If so, then p sub1 is divisible by (q sub1 * ... * q subr) by Euclid's first theorem. What is the relationship between p sub1 and one of the q's? If the r in q subr equals 1, then p sub1 = q sub1 since the only divisors of q are + or - 1 and + or - q and p > 1, making p = q. What about the other factors in the divisor? If p does not divide q, then the greatest common denominator of p and q is 1 since the only divisors of p are + or - 1 and + or - p. Thus there are integers m and n so that 1 = am + bn. Multiplying by q subr yieds q subr = amq subr + bnq subr. Since we are saying that p is divisible by q, let's say the q sub1 * q subr = cp. Then q subr = amq subr + bnq subr = amq subr + bcm = m(aq subr + bc). Therefore, p is divisible by q sub1 of q sub2 * ... * q subr. If p sub1 is divisible by q sub1, then p sub1 = q sub 1. If this does not work the first time, then repeat the argument until you find an equality. Therefore, one of the p's must equal one of the q's. In any case, rearrange the q's so that p sub1 = q sub1, then p sub1 * p sub2 * ... * p subk= p sub1 * q sub2 * ... * q subr and p sub2 * ... * p subk = q sub2 * ... * q subr, and so on. By the same argument, we can rearrange the remaining q's so that p sub2 = q sub2. Thus n can be expressed uniquely as a product of primes regardless of order, making the fundamental theorem of arithmetic true.
by some punk kid September 6, 2005
Get the Fundamental Theorem of Arithmetic mug.Usually Christians - like to shove religion down other's throats - usually anti-choice. See Holier-Than-Thou.
by Colin October 10, 2003
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Get the Fandanglery mug.A term used to describe the residue left behind when a man relieves himself after sex or masturbation. The phrase is given its name from the often salty taste and smell of the substance.
by Darren Ravenscroft December 15, 2008
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PA: mobile task force unit epsilon 11 designated nine tailed fox has entered the facility, all foundation personnel are to carry out standard evacuation protocols.
class d: crap noooooooooooooooooo!!!!!!!!!!!!
PA: mobile task force unit epsilon 11 designated nine tailed fox has entered the facility, all foundation personnel are to carry out standard evacuation protocols.
class d: crap noooooooooooooooooo!!!!!!!!!!!!
by Adam Goh June 7, 2021
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