CMPA's earlier studies found that the broadcast networks gave almost identically negative coverage to George W. Bush (37% positive), Bill Clinton (34% positive) and Ronald Reagan (37% positive) during their first seven months in office.
But Eq. (2) and (3) give identically negative second derivatives of [RP] to both [S] and [S]t (relation (4), derived in Appendix S1, case a), which indicates the lack of sigmoidal behavior.
Also, the unencumbered service times for PUs, SvUs, and SdUs (when SdUs employ one channel), (represented, respectively, by the random variables X (P), X v (S), and X d (S)) are considered independent and identically negative-exponentially distributed with mean values 1/μ (P), ( 1/{mu}_v^{left(mathrm{S}right)} ), and ( 1/{mu}_{mathrm{d}}^{left(mathrm{S}right)} ), respectively.
In group V (Table 2), both CFTs tested horses identically positive or negative.
Let (left {X_{i}^{(ell)}right }) be independent identically distributed non-negative RVs, denoting the time elapsed between the renewal event i and i+1, i.e., the inter-renewal time, and (left {Z^{(ell)}_{i}right }) a sequence of independent positive random rewards earned at every renewal event.
Proposition 4.3 Let ( X ∗ ( t ), t ≥ 0 ) be a compound Poisson process, that is, X ∗ ( t ) = ∑ i = 1 N ∗ ( t ) X i, in which ( N ∗ ( t ), t ≥ 0 ) is a homogeneous Poisson process, and ( X n ) n = 1, 2, … is a sequence of independent, identically distributed non-negative random variables, having finite mean and being independent of the process.
Proposition 3.4 Let X ∗ ( t ) be a non-homogeneous compound Poisson wear process, that is, X ∗ ( t ) = ∑ i = 1 N ∗ ( t ) X i, in which ( N ∗ ( t ), t ≥ 0 ) is a non-homogeneous Poisson process with mean function ( a 2 ( t ) : = E [ N ∗ ( t ) ], t ≥ 0 ) and ( X n ) n = 1, 2, … is a sequence of independent non-negative identically distributed random variables, independent of the process.
Parallel slides without primary Ab were identically processed and used as negative controls.
We focus our analysis in models presenting plateaus, i.e. regions where a non-negative solution vanishes identically.
where t α χ(t) is a smooth non-negative cutoff function identically equal to 1 for t ≤ 1 and identically equal to 0 for t ≥ 2. It is easy to check that there exists a constant c = c > 0, independent of σ ≥ 1, such that (19).
Monga and Mihçak addressed a robust and secure image hashing function in [20], which provides robustness to affine transforms since the effect of geometric attacks on image blocks in the spatial domain manifests (approximately) as independent and identically distributed noise on non-negative matrix factorization vectors.
