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We recall that the notation I(Y has been defined in 2.6.
We will use the following notation: (i) for weak convergence and for strong convergence.
The notation i ℓ indicates the ℓ selected user associated to the BS in the i cell.
Before stating the theorem, we introduce the notation: (i) If, we define H : ℤ → ℝ by (ii) If, we define (iii) If and n ∈ ℤ, we define for x ∈ (n - 1, n + 2) (iv) If and n ∈ ℤ, we define .
In our notation i,j ∈ {p,r,r(l)}, where p represents the primary transmitter or receiver, s the secondary transmitter or receiver and r(l) the l-th relay.
Notation (i) f ( x, v, t ), x ∈ Ω ⊂ R 2 with ∂ Ω ∈ C 1, v ∈ R 2, t > 0, the distribution function of the particles, where Ω is a bound open set with a C 1 boundary (for Definition see p.626 of [9]).
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Note that, for example, the notation i-i+3 refers to pairs of residues which are separated in the amino acid sequence by two intervening residues.
In the paper, we also adopt the customary notation ∑ i = i 1 i 2 g i = 0 if i 2 < i 1.
Notations (i) We consider the spaces,, and, which are Banach spaces with respect to the norm.
In this paper, we use the following notations: (i) ⇀ for weak convergence and → for strong convergence.
This inventory model is developed on the basis of the following assumption and notations: i. Deterioration rate is time proportional.
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