Sentence examples for Similar corollary from inspiring English sources
Since the groups we construct are solvable of class 3, a similar corollary is true with (F_2) replaced by the free solvable group of class 3 of finite rank (although the rank is not necessarily 2 because not every free solvable group of class 3 embeds into a 2-generated group that is solvable of class 3).
Similar corollaries can be obtained as follows.
By method similar to Corollary 3.8, Corollary 3.11 follows from Theorem 3.10.
For any (xin{{mathbb{R}}^{n}}) and (tin 0, infty )), if we let (varphi (x, t):=t^{p}w(x)), (varphi (x, t):=Phi(t)) or (varphi (x, t):=Phi(t w(x)), respectively, then, by Theorem 2.9, we may also obtain three corollaries similar to Corollaries 2.6, 2.7, and 2.8, respectively.
Similar to Corollary 3.3, the following corollary can be obtained from Theorem 3.1.
Results similar to Corollary 3.11 as well as Corollary 3.16 can be outlined in respect of Theorem 3.13, Theorem 3.15, and Corollary 3.16.
Similar to Corollary 1, we have the following corollary.
Results similar to Corollary 2.4 can be derived from Corollary 2.1.
Similar to Corollary 3.9, one can obtain the following corollary.
Similar to Corollary 3.1, we also have the following Corollary 4.1.
Similar to Corollary 5, substituting d = 1 and d = 3 in (33) and (27), respectively, we have the following corollary.
