Sentence examples for were proven using from inspiring English sources

In [12], some inequalities of Hermite-Hadamard type for differentiable convex mappings were proven using the following lemma.

The direct antiangiogenic activity were proven using the rat aortic assay, The anti-HUVEC proliferation, migration assay and CAM assay.

The RNA quality and quantity of all samples were proven using the Agilent 2100 Bioanalyzer and the RNA 6000 Nano Kits (Agilent, Waldbronn, Germany) and the Nanodrop 1000 Spectrophotometer (Thermo Scientific, MA, USA).

Structure validity and prognostic validity were proved using the linear regression through the origin method.

Convergence is proven, using a Lyapounov function.

Finite time stability and convergence are proven using Lyapunov theory.

The efficient injectability of HPMC/Fe3O4 was proven using a very small needle.

The boundedness and convergence properties of the closed-loop signals are proven using Lyapunov׳s stability theory.

The validity of this procedure is proven using different shapes of cross sections.

The stability of the developed controller is proven, using the theory of Lyapunov.

The feasibility of this hybrid process was proven using powdered synthetic zeolites as bonding agents.