function (F Xrightarrow mathbb Rcup {+infty }) (under suitable compactness assumptions to guarantee existence of the minimum), one can define begin{aligned} x^tau _{k+1}in {{mathrm{argmin}}}_x F x)+frac{d x,x^tau _k)^2}{2tau } end{aligned} (2.9 and study the limit as (tau rightarrow 0).
By constructing operator S, using the measure of noncompactness method and fixed point theorem, we derived some sufficient assumptions to guarantee the existence of solution.
In this paper, we elaborate new foundations for contract-based embedded system design by proposing a general-purpose algebra of assume/guarantee contracts based on two simple concepts: first, the assumption or guarantee of a component is defined as a filter and, second, filters enjoy the structure of a Boolean algebra.
However, from our model perspective, the assumption of instantaneous message transfers guarantees that such an event can be managed as if the message passes transparently through SN2, without incurring additional delay.
Assumption 1 assures the stationarity of { ε t ( i ) }, i ∈ E. Assumption 2 and Assumption 3 guarantee the Markov property of { Y t }.
Much effort has been devoted recently for determining conditions which guarantee that the assumption of local thermal equilibrium (LTE) is accurate when modeling heat transfer in porous media.
This result is guaranteed by the assumption of a fixed domain of quantification.
The test results demonstrate that the optimum filter behavior can readily be attained and the white Gaussian assumption of innovations can relatively be easily guaranteed for the NAKF-based model under distinct gear states and a wide variety of model initializations.
Under standard assumptions, that guarantee monotonicity of the allocation rule in one-dimensional mechanisms, it is shown that the optimal allocation will be non-monotonic in a (weakly) generic sense once the principal can use all screening variables.
Of the three strategies, it is the only one that is guaranteed to meet BCA's assumption of topologically homogeneous regions.
