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Rather, he said the companies and their investors had already taken expectation of slowed PC sales into account and now were preparing for a rebound.
Taking expectations on both sides, we get (D10).
By multiplying both sides of (12) by and taking expectations, we obtain (13).
Taking expectations on both sides of (3.11) and noticing that (3.16).
end{aligned} Thus, it suffices to replace t by the random variable T and then to take expectations.
Assuming equiprobable symbols and taking expectations on both sides yields: E{hat{omega}_{i}(t)} = omega_{c}.
In particular, the following two difference equations, which are obtained by just taking expectations on both sides of Eqs.
We therefore postpone taking expectations to Step 3. Apply Itô's formula to (vert R^{1_{alpha},N}_{t} -{{widetilde {R}}}^{1_{alpha}}_{t}vert ^{2}).
Taking expectations of both sides results in E V k m + 1 = 1 − μ γ k + 1 E V k m − μ γ k W k, ss (61).
By taking expectations on both sides of (54), we obtain the following result: E[widetilde{mathbf{W}}_{i}]=E[widetilde{mathbf{W}}_{i-1}]E[mathbf{F}(i)]+boldsymbol{mathcal{P}}E[mathbf{G}_{i}]mathbf{A}.
(3.17) Integrating and taking expectations result in Ebigl[V_{3} bigl(x t) bigr bigr]=Ebigl[e^{rho t} bigl(1+V_{1}bigl(x t bigr) bigr)^{theta}bigr]leq bigl(1+V_{1}bigr(x(0)bigr) bigr)^{theta }+ frac{Gamma_{1}e^{rho t}}{rho}.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com