Then we find the greatest common divisor
(gcd) of screen dimensions which is the largest value that can divide both of them without remainder (equations 9- 12).
Note that because the [[alpha].sub.i] have greatest common divisor
1, we have [zeta] = 1 as a pole of order N + 1, and the other poles have order strictly less.
An element b in CD(B) is a greatest common divisor
of B if and only if CD(B) = D(b).
Theorem 7 Consider n +1 unscaled pots with volumes [a.sub.1], [a.sub.2], ..., [a.sub.n] and [a.sub.n+1], where [a.sub.1], [a.sub.2], ..., [a.sub.n], [a.sub.n+1] [member of] [N.sup.*] and denote by d the greatest common divisor
of [a.sub.1], [a.sub.2], ..., [a.sub.n].
To prove Corollary 2, note that the greatest common divisor
of 4 and 6 is (4, 6) = 2, so from Corollary 1 we have the identity
He describes rings and fields, including linear equations in a field and vector spaces, polynomials over a field, factorization into primes, ideals and the greatest common divisor
, solution of the general equation of nth degree, residual classes, extension fields, and isomorphisms.
Finding the Greatest Common Divisor
and the Least Common Multiple is of Type [I.sub.1].
In section II (24 pages) Gauss proves the uniqueness of the factorisation of integers into primes and defines the concepts of greatest common divisor
and least common multiple.
Loop averaging does the trick where the longest periodicity (greatest common divisor
(gcd) (F,K) = 1) is f/[f.sub.r], the same as a classical PLL.
Factoring the license number of a car [ILLUSTRATION FOR FIGURE 2 OMITTED] might be an amusing mathematical challenge, but finding the greatest common divisor
of two license numbers is not useful otherwise.