Sentence examples for expressions above from inspiring English sources

To be sure, Zhu spoke of a threshold between perceptible and imperceptible phenomena in terms of the expressions "above forms" (xing er shang) and "within forms" (xing er xia).

by the two expressions above.

From all the expressions above, we obtain.

Adding all the expressions above, we get (4.17).

In the expressions above, ({hat {mathbf {U}}_{n}}) is the estimation of noise subspace U n.

We utilize the expressions above in the derivation of the asymptotic results.

Inserting (B.2) into the expression above, we get (B.5).

where the second expression above is to meet the conditions that u i  ∈ [0, 1].

end{aligned} (26 The expression above is valid for any class of customers.

end{aligned} From (8) and the expression above, it is easy to obtain that ({P_{12}} = 0).

Notice the last expression above is a martingale since the expectation does not contain t.