Sentence examples for was proved by using from inspiring English sources

The major role of the singlet oxygen (1Δg) during the photodegradation was proved by using sodium azide and radical scavengers.

In the first experiment, the reliability and validity of the TAVT model to the natural stereo images was proved by using subjective experiments.

The applicability of SQT-DNA to commercial foods was proved by using sausages containing varying ratios of beef, chicken, and soybean.

In an earlier paper, the occurrence of chaos in the forced beam was proved by using the Galerkin approximation, the averaging method and Melnikov's technique.

In [21]n th-order fuzzy differential equations (NFDEs) under generalized differentiability were discussed and the existence and uniqueness theorem of solution of NFDE was proved by using the contraction principle in a Banach space.

The specificity of the designed biosensor was proved by using non-complementary sequences instead of complementary sequences and the detection limit of the assay was calculated to be 6pmol for cell lysates.

The control law was synthesized and stability of the controlled system was proven by using Lyapunov criterion.

Osteogenic differentiation of MSCs was proven by using alkaline phosphatase activity, mineralization and double immunofluorescence staining of both CD90 and osteocalcin.

It can be proved by using contraction.

Stability and robustness are proved by using Lyapunov's method.

Thus the theorem is proved by using Theorem 5.2.