Let [beta], [gamma] be two prime elements
in Z[i] and [eta] = [beta].[gamma], then [PHI]([eta]) = [PHI]([beta]).
Since is a prime element
, we have that b = [b.sub.1] [conjunction] [b.sub.2] [not less than or equal to] a.
As a result, vegetation was the prime element
contributing to the experience of the garden.
Mr Evans, the prime element
in Lord Joffe's Bill will change the role of doctors in the treatment of patients.
Elizabeth Taylor's image of elegance has been a prime element
in the ability of her various fragrance lines to generate of hundreds of millions of dollars in sales for Elizabeth Arden over the past three decades.
The technium concept forms a prime element
of the WDA strategy to develop a knowledgebased economy.
Ecotourism, of a very exclusive nature, is a prime element
used to fund the park's conservation.
They are a prime element
of the rhythmic electricity these films produce.
Perhaps the prime element
making the material so engaging is the fresh, funny dynamic among the five inexperienced criminals.
But this relative obscurity is undeserved, considering that the prime element
of the decoration consists of a highly ambitious series of nine large-scale marble reliefs by several of the leading figures in Venetian Cinquecento sculpture, including Tullio and Antonio Lombardo, Jacopo Sansovino, Danese Cattaneo and Girolamo Campagna.
Nurturance is a prime element
in the editorial process.
(2) For a point p of X of codimension one, we define [Irr.sub.p](L) [is an element of] Z to be the minimal integer i [is greater than or equal to] 0 such that [[Omega].sub.L,p] is contained in [Mathematical Expression Omitted], where [Pi] is a prime element
of the discrete valuation ring [O.sub.X,p].