Protocols for limiting wastage of resources did not exist; input costs were measured, but the personnel utilising resources were not informed of them; equal access to the services was not ensured.
If (operatorname {tr}J overline {S}^{mathrm{E}}_{mathrm{e}},overline{S}^{mathrm{I}}_{mathrm{e}})<0), then there exist input voltages (v_{mathrm{th}}^{mathrm{I}}) and (v_{mathrm{th}}^{mathrm{E}}) such that (11) and (12) have exactly one equilibrium point and this equilibrium point is asymptotically stable.
Alternatively, if (operatorname {tr}J overline{S}^{mathrm{E}}_{mathrm{e}},overline{S}^{mathrm{I}}_{mathrm{e}})>0), then there exist input voltages (v_{mathrm{th}}^{mathrm{I}}) and (v_{mathrm{th}}^{mathrm{E}}) such that (11) and (12) possess a limit cycle.
end{aligned} (24) Hence, there exist input voltages (v_{mathrm{th}}^{mathrm{I}}) and (v_{mathrm{th}}^{mathrm{E}}) such that (11) and (12) have exactly one equilibrium point ((overline {S}^{mathrm{E}}_{mathrm{e}},overline{S}^{mathrm{I}}_{mathrm{e}})).
This representation over-approximates possible program behavior since it also includes infeasible execution paths, i.e., execution paths for which there does not exist inputs that lead to that path being exercised.
Moreover, the frequency-domain approach benefits when the aliasing effect exists in input LR frames.
However, the option exists to input spatially variable wind fields for specific periods at any desired time intervals, a useful option for representing storm events.
Thus, Z can be computed as Z = B −1 Y. Generally, when correlation exists among input variables, it is advisable to sample in the independent standard normal space, and then transform the sample points into the original state space.
Given complete FSMs S = 〈S, I, O, h 〉 and R = 〈R, I, O, h 〉, subsets S′ ⊆ S and R′ ⊆ R are separable if there exists an input sequence α that separates each pair (s, r), s ∈ S′ and r′ ∈ R′.
Actually, they are distinguishable by any input sequence (a, i) with any value of i. Definition 6: Two sets of configurations C of the EFSM M and C′ of EFSM N are distinguishable if there exists an input sequence α that distinguishes each pair (c, c′), c ∈ C and c′ ∈ C′; in this case, we say that the sequence α distinguishes sets C and C′.
For separable states s and r, there exists an input sequence α ∈ I* such that out S (s, α) ∩ out R (r, α) = ∅, i.e., the sets of output responses of FSMs S and R at states s and r to the input sequence α are disjoint.
