Sentence examples for example of corollary from inspiring English sources

Next, we give some illustrative example of Corollary 3.11.

We show an example of Corollary 1 in the following.

The two examples of Corollary 2.8 are given as follows.

Finally, we give concrete examples of Corollary 1.

In the next example all assumptions of Corollary 2.2 are satisfied, but Theorem 3.3 in [17] is not applicable.

This result is an example for Corollary 6.

Remark 3.1 Since Example 1.1 and Example 1.2 satisfy the conditions of Corollary 3.1 and Corollary 3.2, the SEPs in Example 1.1 and Example 1.2 can be solved by the algorithm (3.16) and (3.28).

Now, let (F Xtimes Xrightarrow X) as Fleft( x,yright) =frac{x-2y}{8}.We shall check that this example satisfies all conditions of Corollary 3.12.

The following example shows that in this special case, all assumptions of Corollary 12 are satisfied.

The following example shows that all assumptions of Corollary 9, Corollary 12 and Corollary 15 are satisfied.

The following example shows that all assumptions of Corollary 9 are satisfied.