Sentence examples for elementary result is from inspiring English sources

An important elementary result is that an equation holds in all BAs if and only if it holds in the two-element BA.

Firstly, the following elementary results are presented.

The elementary results were greatly improved by the group of Nam-Gyu Park [63].

Since detailed description has been published elsewhere (Takagi and Iwagami, 2011), some elementary results are noted below.

We will need the following elementary result, which is given here without a proof.

An elementary proof of this result is also presented.

has at least one solution for all l ∈ R. The next result is an elementary estimation of the function u ∈ W N − 2. Lemma 2.4 Let u ∈ W N − 2. Then max k ∈ [ 1, N ] Z u k − min k ∈ [ 1, N ] Z u k ≤ ( N − 2 ) ∥ Δ u ∥ ∞. (2.13).

The result is that elementary school kids -- who are increasingly overweight and obese themselves -- are now 24percentt more active than high school students.

Their result is extended to all values of s∈ 0,1) and is supplied with an elementary proof.

The main objective of the paper is to show that in the formulation of (robust) control problems as linear matrix inequalities a very reduced number of elementary technical results are required.

We end this section mentioning some elementary results which are useful to locate the BdF varieties in the classification theory of algebraic varieties.