Sentence examples for strict increase from inspiring English sources

By the strict increase of involving the support function, we have (1.11).

It leads to ∥ x n i + 1 − q ∥ → 0 as i → ∞ by the strict increase and continuity of φ.

It leads to ∥ z n i + 1 − q ∥ → 0 as i → ∞ by the strict increase and continuity of φ.

It leads to lim i → ∞ ∥ x n i + 1 − x n i ∥ = 0 by the strict increase and continuity of φ.

When considering the widely employed piecewise-linear NNs, infinite intervals with zero slope are present in activations, and it is of great interest to drop the assumptions of strict increase and continuous first derivative for the activation.

Therefore, Restriction i guarantees that the equality ( {text{MC}}left( theta right) = {text{MC}}^ left( theta right) ) can apply at any point of increase of q*, even when this point does not belong to an interval of strict increase.

If there exists a strict increasing function with such that (1.7).

be given where is a continuous and strict increasing function for all with.

(1),,, (2 both functions and are differentiable and strict increasing in and respectively, (3) are strictly increasing in and respectively.

Since when adding an edge in the spectral radius is strict increasing, we consider the edge-maximal -minor free graph only.

Let the recursive inequality λ n + 1 ≤ λ n - α n ψ ( λ n ) + β n, n = 0, 1, 2 ⋯, be given, where ψ is a continuous and strict increasing function for all λ ≥ 0 with ψ(0) = 0. Then {λ n } converges to zero, as n → ∞.