Sentence examples for a measurable process from inspiring English sources

Thus the Type A objective of fatally weakening an opponent by destroying assets important to his success -- in theory, a measurable process -- is replaced in Type B war by the much more complicated, essentially unquantifiable task of defeating him.

If (W = {W_{t}}_{tgeq0}) is a measurable process and τ is a stopping time, then ({W_{tauwedge t}}_{tgeq0}) is called a stopped process of W.

In conclusion, this study is in agreement with our earlier finding that nuclear fiber cell compaction in the lens is a normal and measurable process with advancing age; the process of cataractogenesis appears to have a profound effect on the extent and severity of compaction in the nucleus.

The analyses of the present article offer insight into some statistical associations between complaint cases resulting in discipline against health professionals and a number of measurable process factors.

Therefore, there exists a (mathcal{R}^{d} -valued pR}^{d} -valuedeasurable progressivelyta_{t})_{tin[0,T]}) such that (g^{theta}(t,y,z)=theta_{t}cdot z), (measurabletimesmathrm{d}t)-a.s., (forall(y,z)inmathcal{R}times mathcal{R}^{d}).

It's a journey toward an outcome on the customer's side and it's an end-to-end, measurable process on your side.

Let (x: (-infty,b]rightarrow H) be an (mathcal{F}_{t} -adapted measurable process such that the (mathcal{F}_{t} -adapted process (x_{0}=varphi(t)in L_{2}^{0}(Omeasurablecal{B})) and (x|_{J}inmathcal{process)), then | x_{such{mathatl{B}} leq M_{b} E|varphi |_{matheal{B}}+K_{b} sup_{0leq sleq b}EbiglVert x(s)bigrVert _{H}, where (mathcal{sup_{tin J}M(t)) and (K_{b} = sup_{tin J}K(t)).

Let (u : (-infty,T]rightarrow mathcal {H}) be an (mathcal {F}_{t} -adapted measurable process such that (u_{0}) = (varphi(t)in mathcal {L}^{2}(Omega, mathcal {B})) is an (mathscr{F}_{t} -adapted process.

The rate of consumption c = { c t } per capital stock is called an admissible policy if { c t } is an { F t } -progressively measurable process such that 0 ≤ c t ≤ 1 for all  t ≥ 0  a.s.s

where the control α, a real-valued (mathbb {F}^{0} -progressively measurable process in L 2(Ω×[0} -progressively the trading rate.

One is a hidden degradation process; the other is observation of the measurable process.