More strongly put, this distinction means that statements of fact do not even imply statements of value.
Bercow's counsel, William McCormick QC, said that the tweet posed a question and contained an implied statement of fact that Lord McAlpine was trending, but this was entirely neutral and no more objectionable than the statement to precisely the same effect on the Twitter homepage.
Decision coverage implies statement coverage: (7).
This fact implies the statement of Theorem 6 for any positive mean value of ({tilde{s}_{k}}).
This implies the statement of the lemma.
If k is a natural number such that (k<p^{n+1}), then (e_k=x_1^{r_1}x_2^{r_2}cdots x_n^{r_n}), where (r_n, r_{n-1}, ldots, r_1) are the digits of the representation of k in the base p numeration system, and begin{aligned} pi _infty (g)(e_k)=(x_1+u_1)^{r_1}(x_n+u_n(x_1))^{r_2}cdots (x_2+u_n(x_1, x_2, ldots, x_{n-1})^{r_n}, end{aligned}which implies the statement of the proposition.
(111) with the so chosen θ p , p = 1, ⋯, N, form a system with a tensor-valued symbol elliptic near ξ = ξ 0. The C ∞ Ψ DOcalculus easily implies the statement of the lemma in the C ∞ category, and the complex stationary phase method below, or the analytic Ψ DOcalculus in [195] with appropriate cut-offs in ξ, implies the lemma in this special case ( g locally Euclidean).
(157)Taking for instance ε = 1 / 4, reabsorbing terms and yet adding R - α E 0 to both sides of the resulting inequality, we conclude with Open image in new window (158)This last estimate implies the statement of the theorem, that is M α, R # ( D u ) ( x ) ≤ c S, (159 where c ≡ c ( n, p, ν, L, α ~ ) and S in fact denotes the quantity appearing in the right hand side of (158).
Thus, overall Jensen's inequality yields E | O ( x, t ) − O ( y, s ) | 2 ≤ C ρ ( | x − y | 2 + | t − s | 2 ) ρ / 2. Since the difference O ( x, t ) − O ( y, s ) is centered Gaussian, it further holds that E | O ( x, t ) − O ( y, s ) | 2 m ≤ C ρ, m ( | t − s | 2 + | x − y | 2 ) m ρ / 2 ∀ m ∈ N. Now, the Kolmogorov Centsov theorem implies the statement of the lemma.
Nevertheless, 25 of the 51 statements in this session had already been mentioned in the first session, which implies saturation of statements made by the participants.
This statement implies that most of DFe from shallow hydrothermal submarine source is not lost from solution during transport, and mixes almost conservatively with ambient waters.
