Sentence examples for for our examples from inspiring English sources

Therefore, the condition ( H 3 ) in Theorem 2.4 is valid for our examples.

The data used for our examples is described in section 6, and a baseline truth for the classification is defined.

For our examples, log-logistic probability density functions were used in the Bayesian treatment, but our approach is not restricted to this particular probability density function.

Remark 5.1 Since in (5.1) and (5.2), β ( t ) or β ( n ) may be negative, Theorem 2.1 in [16] is not suitable for our examples.

Accordingly, the remainder of this article is organised as follows: First, we introduce the Semantic Web, along with the vocabularies that we intend to use for our examples.

By contrast, variant (C), along with the Fourier-wavelet method, is able to reproduce accurate self-similar scaling of the structure function over a number of decades increasing linearly with computational effort (for our examples we will show that nine decades can be reproduced).

For our example, [24 36;12 24] is found in the second iteration.

First, we give some proposition for our example as follows.

Each of these questions will be briefly addressed in our next section for our example CAS.

For our example document set, the encrypted index table is shown in Table 3.

For our example, AURA-DC finds the optimized matrix as AURA, i.e., [ 24 36;12424].