Sentence examples for therefore as desired from inspiring English sources

Therefore as desired.

Thus, φ i ( T u ) ≥ 0, therefore as desired we conclude T ( K ) ⊂ K. Step 2. In this part we turn to the proof that T in the sequel is bounded as well as equicontinuous with the help of the Arzelà-Ascoli theorem.

Therefore, (3.5) holds, as desired.

Therefore, inequality (3.12) holds, as desired.

Therefore, there exists a unique additive mapping satisfying (2.28), as desired.

Therefore, at the source node, the output rate can be adjusted as desired.

Color in as desired.

Blend colors as desired.

Finish off as desired.

Therefore, the result as desired follows from Theorem 3.1 and Theorem 3.2.

The desire to "scientificize" connoisseurship was therefore as much about the desire to democratize it, to wrest it out of the hands of art experts.