Sentence examples for extends substantially from inspiring English sources

The example below shows that Theorem 3.5 extends substantially the corresponding results in [5, 11].

The following example manifests that Theorem 3.1 extends substantially Theorems 1.1 and 1.4.

The following example proves that Theorem 3.1 both extends substantially Theorem 1.1 and is different from Theorem 1.4.

Example 3.2 below shows that Theorem 2.1 extends substantially Theorem 3.1 in [2] and Theorem 2.1 in [5] and differs from Theorems 5 and 6 in [8] and Theorem 2.1 in [4].

It is a four-lobed cell that surrounds the light guide; it is ovoid in transverse section and extends substantially further along the light guide than in the rest of the eye; and it is anisotropic, i.e. there is a preferred direction set by parallel microvilli extending between the lobes of the cell as shown in Figure 2D.

In agreement with this result, we note that the duplicated area within both LHC and PSBS sequences extends substantially beyond the shared CB-TM helices and is not homologous between the two groups.

For the first time, the Biennial extended substantially beyond the Whitney Museum of American Art's Madison Avenue confines to occupy many of the wood-paneled period rooms and other spaces inside the armory from March 6 through Sunday night (the Biennial exhibits at the Whitney itself remain on display through June 1).

The examples below show that Theorems 2.1 2.4 extend substantially Corollaries 2.5 2.10, respectively.

Example 2.6 below shows that Theorems 2.1-2.4 2.1-2.4substantially Thextend2.1 in [1] and Theorem 2 in [15].

Our results presented in this paper extend substantially the results due to Deng [3], Ishikawa [7], and Senter and Dotson [10].

It was found that there exists an optimal concentration for each polymer additive in a coating solution, at which the maximum coating speed can be extended substantially.