Sentence examples for As corollary from inspiring English sources

As corollary, we obtain the results of [10, 11].

As corollary, we obtain the frequencies of state-ordered couples for random fields on homogeneous trees.

As corollary we obtain that Axiom (A11) – existence of two externally connected regions – is in fact a theorem of the remaining axioms of RT.

As corollary, we obtain the property of the harmonic mean of random transition probability for a nonhomogeneous Markov chain.

As Corollary 2.7, we conclude that the pair (P, I) is (A^{rm T} -conjugate for AlgoriT} -conjugateering nonsingular matrix oforystem (2).

As corollary, by choosing suitable weighted functions, the Berry Esseen type bounds for the estimators of β, g and f can achieve O(n−1/6+ϖ/3), O(n−1/12+ϖ/6) and O(n−1/12+ϖ/6), respectively, where 0<ϖ<1/2.

Let,,, be as in Corollary 2.5.

design variables can be obtained as corollaries.

Some recent results are obtained as corollaries.

Classical theorems of Menshov and Zygmund are obtained as corollaries.

This gives as corollaries known results of Y. Katznelson, R.E.