Assuming that any such position can be an insertion or a deletion independently with the same probability, the random variable k − k′ is distributed as a sum of independent random variables with values in {+1, −1, 0} with mean value 0, thus, by a Chernoff bound argument, its tail distribution decays exponentially (Motwani and Raghavan, 1995; Mulmuley, 1993).
Using these values of c l 0, j 0 we invoke McDiarmid's inequality to show the following, wherein (a) and (b) follow from union bound arguments and (c) follows from setting ε o = ε d = δ S 2 P G ii − m i ≥ ε d ≤ 2 exp − 2 ε d 2 g d (57) → P ∪ i = 1 n G ii − m i ≥ ε d ≤ ( a ) 2 n exp − 2 ε d 2 g d (58) P ∪ i = 1 n ∪ j = 1, i ≠ j n G ij − m ij ≥ ε o S ≤ ( b ) 2 n 2 exp − 2 ε o 2 S 2 g d (59).
That means I apply, the procedure which is closure, binds one argument y, adds x to y, with e1 captured in it.
A single quantifier can also bind multiple argument positions, as in '∃x[L x, x)]', which is true iff someone likes herself.
The second parameter, account_holder, is bound to the argument passed to the class when it is called to be instantiated.
And, although Goold's production is bound to cause argument, Las Vegas seems a perfect metaphor for a world of financial and romantic fantasy.
In Table 2, we present the absolute errors ( epsilon (n)) versus (n), for the purpose of exploring the error bound when the argument (n) is large enough.
She also criticizes Facebook for delaying tactics, and for not making it clear that its appeal against the referral — which Facebook still intends to pursue in the Irish Supreme Court — relates to a time-bound argument that the decision is moot because of an incoming update to EU privacy law (the GDPR).
But John T. Edge, the director of the Southern Foodways Alliance, said any such sweeping statements are bound to spark arguments.
Although an injectable vaccine against TB in badgers might be ready soon, there are bound to be arguments about who should pay for it.
It was always going to be hard and there were bound to be arguments, but he wanted to stay for the duration.
