Since x s n, t is bounded, without loss of generality, we may assume that as s n → 0, x s n, t ⇀ x t.
We note that, for the above derivation of Eq. (14) it is sufficient to assume a negligible fluctuation Δ N (t) for large times t, without resorting to the assumption of a Poisson process for N (t).
Since { x s n, t } is bounded, without loss of generality, we may assume that { x s n, t } converges weakly to a point x t as n → ∞.
Since { x s n, t } is bounded, without loss of generality, we may assume that, as s n → 0, { x s n, t } converges weakly to a point x t.
In addition, we also ran simulations with cofilin activity regulation directly at the integrin receptor complex (p C o f D e a c t A t I n t = 1), i.e., without any CofReg (r C o f R e g A p p e a r a n c e = 0).
Suppose N p = 0 for some p ∈ ℕ. Observe that without any assumption on T we have N T ⊆ N T + N p and N T + N ⊆ N T p. (3.3.1).
For the uplink (an example is shown in Figure1b for a MIMO system with n T = n R = 2), a MS without cooperation experiences the following MIMO channel matrix: H T = H → T ( 1 ) H → T ( 2 ) ⋯ H → T ( n T ) = H T, 1, 1 H T, 1, 2 ⋯ H T, 1, n T H T, 2, 1 H T, 2, 2 ⋯ H T, 2, n T ⋮ ⋮ ⋱ ⋮ H T, n R, 1 H T, n R, 2 ⋯ H T, n R, n T, (3).
Let us assume, without any loss of generality, that N (t) is a Poisson counting process.
Without loss of generality, let { x n k + 1 ( n 0 + k ) ( t ) } be { x n ( t ) } in the rest.
Each of the T n - without T 0 - changes its sign between z 1 and z 2, i.e., is oscillatory between the integration boundaries z 1 and z 2. In the case of an orthogonal polynomial system, each of the polynomials P j contains information on a complete set of new orthogonal polynomials: Starting from P j, the orthogonality is inherited to the T n ( n ∈ N 0 ).
