Search results
Results from the WOW.Com Content Network
The natural integer 6174 is known as Kaprekar's constant, [1] [2] [3] after the Indian mathematician D. R. Kaprekar.This number is notable for the following curious behavior: ...
Assuming the axiom of dependent choice, the descending chain condition on (possibly infinite) poset P is equivalent to P being well-founded: every nonempty subset of P has a minimal element (also called the minimal condition or minimum condition).
Also, the descending chain condition holds on prime ideals. In a commutative Noetherian domain R, every element can be factorized into irreducible elements (in short, R is a factorization domain). Thus, if, in addition, the factorization is unique up to multiplication of the factors by units, then R is a unique factorization domain.
In mathematics, the falling factorial (sometimes called the descending factorial, [1] ... Pochhammer polynomial, ascending factorial, [1] rising sequential product ...
In number theory, Kaprekar's routine is an iterative algorithm named after its inventor, Indian mathematician D. R. Kaprekar. [1] [2] Each iteration starts with a number, sorts the digits into descending and ascending order, and calculates the difference between the two new numbers.
A theorem of Hyman Bass in now known as "Bass' Theorem P" showed that the descending chain condition on principal left ideals of a ring R is equivalent to R being a right perfect ring. D. D. Jonah showed in ( Jonah 1970 ) that there is a side-switching connection between the ACCP and perfect rings.
From January 2008 to December 2012, if you bought shares in companies when C. A. Lance Piccolo joined the board, and sold them when he left, you would have a 21.8 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size.