Sentence examples for bound of the initial from inspiring English sources

Especially, the designed control depends on the parameters of the exponential convergence rate, the finite-time convergence rate, the bound of the initial states of the master system, and the system parameter.

By virtue of Lemmas 2.1-2.5 2.1-2.5ld conclude that sup 0 ≤ t ≤ T ( | ρ ε | H 1 + | ρ t ε | L 2 + | ( u ε, weε ) | H 1 ) + ∫ 0 T | ( ( ρ ε u ε ) t, ( ρ ε u ε ) t ) | L 2 2 + | ( u x x ε, w x x ε ) | L 2 d t ≤ could emphasize that concludeothatpend on the parameter ε, i.e., the lower bound of the initial densupy.

Therefore, under the condition that each node manages only one flow, the upper bound of the initial frame length can be determined by L init = h max · N, (1).

Finally, we assumed a non zero mutational heritability and estimated the upper bound of the initial genetic variance (Model 3).

By comparing Equations 9 and 10, it can be observed that this experiment gives the lower limit of the Cramè-Rao inequality Equation 3. Then Equation 8 gives a lower bound on the initial distributions of the two parameters and this, in turn, yields Kennard-Robertson type uncertainty relation, σ 1 σ 2 ≥ h ~ / 2. Open image in new window.

Because a lot of costs are bound to the initial classification of the data, the first month of usage is also likely the most expensive.

Model constraints during simulations were set by either experimental data collected as part of this study (Additional File 1) or, if certain uptake rates or other experimental data were not available, by setting the lower bound to the initial concentration of that particular compound in the experimental BCS growth medium [ 24].

We also have introduced the concepts of the greatest lower bound and the least upper bound of the family of soft filters over an initial universe, soft filter subbase and soft filter base.

The initial population is created randomly in a user specified bound of the N variables in the string.

where is the initial phase, and denote the frequency lower bound and upper bound of the transmitted signal, respectively.

If the bound of system initial states is also incorporated into the controller, then the states converge to the origin within the given time at a rate faster than the pre-specified exponential rate.