Sentence examples for n i a from inspiring English sources

When |X ni | > a n > 0, we have g n X n i a n ≥ g n ( 1 ) ≥ δ, which yields that P ( | X n i | > a n ) = E I ( | X n i | > a n ) ≤ 1 δ E g n X n i a n.

By virtue of the maximal monotonicity of R, we have 〈 v − y n i, g − A v − 1 λ ( z n i − y n i − λ A z n i ) 〉 ≥ 0, and so, 〈 v − y n i, g 〉 ≥ 〈 v − y n i, A v + 1 λ ( z n i − y n i − λ A z n i ) 〉 = 〈 v − y n i, A v − A y n i + A y n i − A z n i + 1 λ ( z n i − y n i ) 〉 ≥ 〈 v − y n i, A y n i − A z n i 〉 + 〈 v − y n i, 1 λ ( z n i − y n i ) 〉.

Set v t = ty + (1 - t z for all t ∈ (0, 1] and y ∈ C. Consequently, we get that v t ∈ C. Now, from (3.16) it follows that ⟨ v t - u n i, A v t ⟩ ≥ ⟨ v t - u n i, A v t ⟩ - ⟨ v t - u n i, A u n i ⟩ - v t - u n i, J u n i - J x n i r n i = ⟨ v t - u n i, A v t - A u n i ⟩ - v t - u n i, J u n i - J x n i r n i.

Based on the new hard and soft limits (S i and H i, respectively) defined for each neighbor n i, a temporary resource reservation is performed.

Now from (3.15) we obtain x n i − λ n i A x n i ∈ ( I + λ n i B ) z n i.

In the limit N i a → 0 Open image in new window obtain the usual Lie algebroid constructions for holonomic manifolds and bundles.

Proof Let c n i = a n i / n 1 / 2 for 1 ≤ i ≤ n and c n i = 0 for i > n.

There's a word for this line of logic: D-E-N-I-A-L.

Without loss of generality, we assume that lim n i → + ∞ A x n i = y 0. From (2.10), we have lim n i → + ∞ ∥ x n i ∥ = lim n i → + ∞ ∥ A x n i + λ B n i x n i ∥ ≥ lim n i → + ∞ λ ∥ B n i x n i ∥ − lim n i → + ∞ ∥ A x n i ∥ = + ∞, which contradicts (2.9).

Consequently, we derive from the above conclusions that y n i ⇀ z, u n i ⇀ z, A x n i ⇀ z and z n i ⇀ A z. (3.27).

where the effective noise n i (k) consists of the moderate reverberation and the ambient noise n i,a(k).