Sentence examples for that in examples from inspiring English sources

Let us observe that in Examples 2.1-2.4 2.1-2.4thecontractivetions are satisfied for x, y ∈ X, suconditions = Ty.

(e) We see that in Examples 6.5-6.7 6.5-6.7, the andumptions of Theorem 4.2 are satisfied, but assumptions of Banach's [1], Rus' [3], Subrahmanyam and Reilly's [[9], Section 3], Reilly's [25], Reilly-Subrahmanyam-Vamanamurthy's [[8], Theorem 9] and Suzuki's [[11], Theorem 1] theorems are not.

"The caution that is always there is that in examples of male femininity, the fear is that it's only possible in situations in which the man performs a kind of hypermasculinity such that there's an excess, or that there's some femininity to spare," she says, referencing Adesanya's fighting profession.

It is evident that in Examples 3 and 4, with nonlinear patterns specified, the GKME outperforms all other methods.

Example 3.1 Let A = C R 1 [ 0, 1 ] be the same as that in Example 2.2.

Assume that the network coupling is the same as that in Example 4.1.

Proof By a similar discussion as that in Example 2.6, we have f ∈ WFHom R ( M, M ).

Similar analysis to that in Example 3.3 implies that condition (3.23) holds and condition (3.24) is satisfied for (q_{0}>2sqrt{2}).

Other parameters are the same as that in Example 1. Figure 4 shows with SNR = 0 dB.

Similar analysis to that in Example 3.3 shows that the results obtained in [7, 20] fail to apply in equation (3.38).

Shop-bought mayo has a blandness and often a slight vinegary edge that, in poor examples, take it into salad cream territory.