Sentence examples for take expectations from inspiring English sources

end{aligned} Thus, it suffices to replace t by the random variable T and then to take expectations.

To calculate the first-order statistics of the adaptation component ζ k (i), we take expectations on both sides of (25) and let i goes to infinity, as a result, we obtain E[zeta_{k}(infty)]=frac{beta}{1-alpha}E[rho_{k}^{2}(infty)].

Then we must take expectation value over the PDF of h 11 and h 1k in order to get P 1 b.

If the individual is not ready, we need to take expectation of change off the table.

In the E-step of emBayesR, we will take expectation of the log posterior function of Equation (6) over the missing data (u,  b).

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).

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}).