Throughout this paper, we assume that the following conditions hold: (H1): Let (x t)) be a nonnegative right-dense function satisfying left { textstylebegin{array}l} x^{triangle}(t)leq-a(t)x t)+b(t)sup_{t-tau(t)leq sleq t}{x s)}+c(t) hphantom{x^{triangle}(t)leq}+d(t)int^{infty}_{0}K t,s x t-s)Delta s,s x t-sn[t_{0},infty), x(t)=|varphi(t)|,quaDelta(-infty,t_{0}], end{array}displaystyle right.
Let (x t)) be a nonnegative right-dense function satisfying left { textstylebegin{array}l} x^{triangle}(t)leq-a(t)x t)+b(t)sup_{t-tau(t)leq sleq t}{x s)}+c(t) hphantom{x^{triangle}(t)leq}+d(t)int^{infty}_{0}K t,s x t-s)Delta s,s x t-sn[t_{0},infty), x(t)=|varphi(t)|,quaDelta(-infty,t_{0}], end{array}displaystyle right.
For MDPs with dense transition function, the results show that stochastic bisimulation computation can explore the domain structure and, combined with the TVI planner to solve the reduced model, can have the best performance.
Alpha-granules are most abundant and contain proteins essential for platelet adhesion [ 7], while the dense granules function to recruit additional platelets to sites of vascular injury.
The ashen mouse was originally reported to have a bleeding phenotype, but this later proved to be the result of an additional mutation in an orphan nucleotide sugar transporter Slc35d3 resulting in a defect in platelet dense granule function.
where is a nonnegative right-dense continuous function for.
This implies that the delta definite integral of any right-dense continuous function exists.
Denote by the set of all left dense continuous functions on.
Let be a nondecreasing right-dense continuous function with, and with.
Every right-dense continuous function has a delta antiderivative [15, Theorem ].
