Sentence examples for main theorems of from inspiring English sources

This paper illustrates that the conditions and the main proof of two main theorems of Verma [R.U.

The following results are the main theorems of this paper.

Now, we give our main theorems of this paper.

The main theorems of this paper are as follows.

Now we state the main theorems of this paper.

We now can state the main theorems of this paper.

However, we find that there exist some mistakes in the proof of the main theorem of this paper.

The main theorem of this paper asserts that this pre-Dirichlet form admits a logarithmic Sobolev inequality.

The third part uses the technique of the First Main Theorem of Nevanlinna theory and its use is related to the technique of Gelfond-Schneider in the first part.

The main theorem of this paper shows that foldover designs are the only (regular or nonregular) two-level factorial designs of resolution IV (strength 3) or more for n runs and n/3⩽m⩽n/2 factors.

(Results of this kind are obtained which are used in the proof of the main theorem of the paper, and also in the proof of the classification theorem of the second author given in [Z.