Sentence examples for bound of the unknown from inspiring English sources
In 2009, Kim [12] obtained the explicit bound of the unknown function of the following inequality: (1.7).
The prior known positive constant ε [20] can be explained as a norm bound of the unknown error between a S and ({{hat {mathbf {a}}}_{S}}).
The advantage of the a posteriori method is that one does not need to know the smoothness and the a priori bound of the unknown solution.
Since the inequality (1.2) provides an explicit bound of the unknown function it furnishes a handy tool in the study of various properties of solutions of differential equations.
Concretely, a function h ∈ RT provides an asymptotic lower bound of the unknown runningtime of computing f under consideration provided that there exist n 0 ∈ N and c > 0 such that c h ( n ) ≤ f ( n ) for all n ∈ N with n ≥ n 0. When h is an asymptotic lower bound of fwe will denote it, as usual, by f ∈ Ω ( h ).
We used analytical methods, reducing the inequality with the known results in the lemma, and the estimations of the upper bound of the unknown functions were given.
A typical series is introduced in order to deal with the unknown bound of the approximation errors.
Then, a robust feedback control based on MK-LSSVM modeling is presented and an improved update law is employed to estimate the unknown bound of the approximation error.
Then, in order to cope with the unknown upper bound of the system uncertainty which may be occurring in practical applications, a new adaptive NFTSM algorithm is developed.
Then, based on the estimation information for the unknown upper bound of the compounded disturbance, an adaptive fuzzy tracking controller with the corresponding parameter updating laws is designed to eliminate the effect of the compounded disturbance.
In Section 2, we shall propose exponential inequalities for martingales and self-normalized martingales, and, in the last section, the deviation bound of the least-square estimate of the unknown parameter in a linear regressive model is established.
