Sentence examples for by the strong continuity from inspiring English sources
Blizzard and Rockstar are each distinguished by the strong continuity among their key people.
The invariance of (mathscr {U}) follows by the strong continuity of the process stated in Lemma 3.1.
Simultaneously, by the strong continuity of a semigroup (U t)), we know lim_{t rightarrow t_{0}} biglVert U t_{0}-tau u tau -U t- tau)u(tau) bigrVert _{mu,2}=0}-tau u tau -U t-
end{aligned} (3.3) By the strong continuity of (R t,s)) and the assumption of g, we have begin{aligned} I_{1}leq6 biglVert R(t_{2},0 -R(t_{1},0) bigrVert ^{2} bigl[EVert x_{0}Vert ^{2}+ Gamma(r) bigr]rightarrow 0, quad text{as }t_{1}rightarrow t_{2}.
Next, we prove the strong continuity of composition operator semigroups induced by one-parameter semigroups of holomorphic self-maps of the upper half-plane.
Moreover, we prove the strong continuity of composition operators semigroup induced by a one-parameter semigroup of holomorphic self-maps of half-plane.
In addition, we prove the strong continuity of composition operators semigroups induced by one-parameter semigroups of holomorphic self-maps of (Pi^).
In the last subsection, we consider the strong continuity of the composition operator semigroup induced by a one-parameter semigroup of holomorphic self-maps of (Pi^).
In this paper, we study the strong continuity of the generalized Feynman Kac semigroup defined by Ptuf(x)="Ex[eNtuf Xt)], t⩾0.
end{aligned}By using the strong continuity of S t), for each (sin [0,t]), we have begin{aligned} lim _{hrightarrow 0}((S(h -I S t-s x s))=0.
Furthermore, we can infer from the strong continuity of that.
