Sentence examples for considering the definition from inspiring English sources

Considering the definition of the determinant of a rectangular m×n matrix (m

For, set and. Considering the definition of the fundamental solution, we have (2.5).

Considering the definition of, we have and the previous condition is satisfied if (2).

and then, by considering the definition of in (1.5), this implies that (2.15).

(30) Hence, substituting (29) and (30) into (26) and considering the definition of (V_{i}) defined by (25), one can complete the proof.

Let us extend the above concept in a natural way to 2-cyclic Kannan self-mappings by considering the definition of 2-cyclic -contractions (1.1) as follows.

The algebraic representation presented in Eq. (33) has to be rewritten considering the definitions introduced in Eq. (34).

Consider the definition of a "thrillionaire".

Consider the definition of culture, and reflect on what this means to earlier and later generations.

So let's consider the definition of "middle class" through five different lenses.

But consider the definition of a racketeer as someone who creates a threat and then charges for its reduction.