They also signed an agreement allowing the United States to transport troops and arms bound for Afghanistan through Russian territory, part of what was called the Northern Distribution Network being expanded as an alternative to the unreliable supply route through increasingly volatile Pakistan.
We assume that the solution f may be expanded as an infinite sum: (2.3).
A function (u(t) in L^{2}[0, 1]), with bounded second derivative, say (|u t)|leqdelta), can be expanded as an infinite sum of the sine-cosine wavelet and the series converges uniformly to (u(t)), that is (u(t)=sum_{m=0}^{infty}sum_{n=0}^{infty}c_{n,m}psi _{n,m}(t)).
Theorem 5.1 A function u ( x ) ∈ L ω 2 ( [ 0, 1 ] ), with bounded second derivative, say | u ″ ( x ) | ≤ N, can be expanded as an infinite sum of Chebyshev wavelets, and the series converges uniformly to u ( x ), that is [21], u ( x ) = ∑ n = 1 ∞ ∑ m = 0 ∞ c n m ψ n m.
) The function (u_{r+1}{(x,t)}) is expanded as an infinite sum of the CAS wavelets and the series converges uniformly to (u_{r+1}{(x,t)}), that is (u_{r+1}{(x,t)}=sum limits _{n=0}^{infty }sum limits _{mepsilon {Z}}sum limits _{i=0}^{infty }sum limits _{jepsilon {Z}}c_{nm,ij}^{r+1}{psi _{n,m}}{(x)}{psi _{i,j}}{(t)}.
Both Muthee and Glazier are also high level leaders in the New Apostolic Reformation, which over the last decade has rapidly expanded as an international movement within Neocharismatic "renewal" groups within Christianity estimated to have 295 million members worldwide.
