Exact(5)
She is new also, and almost always at home.
According to the best of our knowledge, this result is new also in the linear case (i.e., for (p=2)).
Theorem 5 is new also in case r ̃ k = 0 and it allows us to drop the condition limk→∞ r k h k Φ(Δh k ) = ∞ considered in [[4], Theorem 4.1] and replace it by alternative conditions.
This statement is new also in case r ̃ = 0. Theorem 5. Suppose that h is the recessive solution of (1) such that h k > 0, h k Δ h k > 0, c ̃ k ≥ 0, r ̃ k ≤ 0 for large k and conditions (25), (13) and (14) hold.
Recently, Pia̧tek [26] has generalized - independently of Saejung's work - Saejung's result even to CAT-spaces with an argument which is new also for CAT 0) spaces and is more elementary than Saejung's approach based on Banach limits (it would be of interest to carry out a quantitative analysis of this proof due to Pia̧tek).
Similar(55)
Our results are new also for the difference systems.
Our theorems in the present section are new also if p is a metric.
As it is, new discoveries are also falling precipitously.
Schuelke also is new to politics.
Rides that are new will also be highly-popular and therefore harder to get into.
There will also be new infrastructure spending.
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