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However, it is convenient to consider separate parts of Earth in terms of concentric, roughly spherical layers.
The northern and southern parts of Nigeria can be considered part of the western Sudan and Guinea Coast, respectively; but, because of the wealth of evidence for an artistic tradition of some 2,000 years, it is convenient to consider Nigeria separately.
To understand electronic voting, it is convenient to consider four basic steps in an election process: ballot composition, in which voters make choices; ballot casting, in which voters submit their ballots; ballot recording, in which a system records the submitted ballots; and tabulation, in which votes are counted.
To apply the diversity technique, it is convenient to consider the signals in the frequency domain.
It is convenient to consider the classical axial collapse situation (noted as free-ends) as a comparison reference.
In order to introduce the notion of nonuniform dichotomy, it is convenient to consider the notion of growth rate.
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To overcome the previous drawbacks, it would be convenient to consider the following hypotheses.
That is the subject of the next section; it will be convenient to consider replies to the two arguments together.
For our needs, it will be convenient to consider still the problem involving more multivalued terms, namely (9), where (F_{1} colonmathbb{R}multimapmathbb{R}), (F_{2} colonmathbb {R}multimapmathbb{R}) are u.s.c.s.c
For the description below, it will be convenient to consider a partition of each X i into pairwise disjoint subsets x i j of size k each that correspond to the domains of the vectors in C k when s X i is coding.
It will also be convenient to consider the space H ϵ : = H 1 endowed with the equivalent norm ∥ v ∥ H ϵ : = [ ∫ Ω ( | ∇ x v | 2 + 1 ϵ 2 | v y | 2 + | v | 2 ) d x d y ] 1 2. It is immediate consequence of (G1) that the family of isomorphisms { Φ t ϵ } satisfies ∥ Φ t ϵ ∥ L ( H 1 ( Ω t ϵ ; ρ ϵ ), H ϵ ) ≤ c. for some positive constant c independent of ϵ and t.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com