This week's deal skirts that issue by continuing to treat the fields as a single shared entity, without for the moment fixing the boundary between Australia and East Timor.It also lets Australia go back to grappling with its more pressing diplomatic worries.
After fixing the boundary conditions using Eq. (18), one is free to choose the functions (alpha(t)) and (beta(t)).
Then there exists ε > 0, such that for any two metrics g, g ^ satisfying ‖ g - g 0 ‖ C k ( M ) + ‖ g ^ - g 0 ‖ C k ( M ) ≤ ε, (116 the relations σ = σ ^, ℓ = ℓ ^ on D imply that there is a C k + 1 diffeomorphism ψ : M → M fixing the boundary such that g ^ = ψ ∗ g.
Then for some diffeomorphism ψ fixing the boundary, ‖ ∂ x n k ( ψ ∗ g 1 - g 0 ) ‖ C m ≤ C k, m ‖ d g 1 2 - d g 0 2 ‖ C m + 2 k + 2 , where C k, m depends only on Ω and on an upper bound of g 0, g 1 in C m + 2 k + 5.
There exists k ≥ k 0, such that for any g 0 ∈ G k, there is ε > 0, such that for any two metrics g 1, g 2 with ‖ g m - g 0 ‖ C k ( M ) ≤ ε, m = 1, 2, we have the following: d g 1 = d g 2 on ( ∂ M ) 2 implies g 2 = ψ ∗ g 1 (102)with some C k + 1 ( M ) -diffeomorphism ψ : M → M fixing the boundary.
In September, 2010 a treaty was made between Russia and Norway fixing the boundary between the Svalbard archipelago and the Novaya Zemlya archipelago.
Syria fixes the boundaries of Lebanese politics with a mixture of patronage and strong-arm tactics.
And Henning Mankell has never fixed the boundaries of his fiction more widely than in The Man from Beijing.
The idea was to streamline EU procedures and institutions, fix the boundaries between nation states and Brussels and sort out the workings of this unique union of states and peoples.
