Integers

Some articles on integers, integer:

Secret Sharing Using The Chinese Remainder Theorem - Secret Sharing Using The CRT - Example
... Our pairwise coprime integers being, and ... Then and we compute the shares for each of the integers 11, 13, 17 and 19 ... identity, since, there exist positive integers and, that can be found using the Extended Euclidean algorithm, such that ...
Lambek–Moser Theorem - Statement of The Theorem
... and unbounded function ƒ that maps positive integers to non-negative integers ... From any such function ƒ, define ƒ* to be the integer-valued function that is as close as possible to the inverse function of ƒ, in the sense that, for all n, ƒ(ƒ*(n)) < n ≤ ƒ(ƒ*(n) + 1) ... the ranges of F and G form a partition of the positive integers ...
Arithmetic Dynamics - Integer Points in Orbits
... of a rational map may contain infinitely many integers ... For example, if F(x) is a polynomial with integer coefficients and if a is an integer, then it is clear that the entire orbit OF(a) consists of integers ... if F(x) is a rational map and some iterate F(n)(x) is a polynomial with integer coefficients, then every nth entry in the orbit is an integer ...
Almost Integer
... In recreational mathematics an almost integer is any number that is very close to an integer ... Well known examples of almost integers are high powers of the golden ratio, for example The fact that these powers approach integers is non-coincident ... Other occurrences of non-coincidental near-integers involve the three largest Heegner numbers where the non-coincidence can be better appreciated when expressed ...
Secret Sharing Using The Chinese Remainder Theorem - Secret Sharing Using The CRT
... determine a number S modulo k-many relatively prime integers, given that, then, the idea is to construct a scheme that will determine the secret S given ... Ultimately, we choose n relatively prime integers such that S is smaller than the product of any choice of k of these integers, but at the same time is greater than any ... than the smallest product of k of the integers, it will be smaller than the product of any k of them ...