Sentence examples for model and prove from inspiring English sources
Since we have dynamics that evolve in continuous and discrete-time, we write the closed-loop system as an impulsive model and prove asymptotic stability of its equilibrium.
We propose a modified security model and prove that our scheme is existentially unforgetable against adaptively chosen message and identity attacks in the random oracle model.
Experimental tests carried out in a wave flume validate the model and prove the effectiveness of frequency up-converted method in wave energy harvesting.
In order to achieve provable security, we propose a reduced security model and prove that a DCS cryptosystem only requires transcript-simulatability or alternatively invisibility plus non-transferability from a modelling perspective.
The Lyapunov function method is used to develop a novel stable updating law for the multi-time scales neural networks model and prove that the state error, output estimation error and the neural network weights errors are all uniformly ultimately bounded around the zero point during the entire learning process.
In this paper, we use the design approach for fitting the proportional hazards (PH) model and prove formally the asymptotic normality of the sample maximum partial likelihood (SMPL) estimators under the PH model for both stochastically independent and clustered failure times.
But once it finds a viable business model and proves it can succeed, it can be gradually integrated into an established business.
The second part of the paper describes the approximation procedure, introduces the new SHS model, and proves, under some assumptions, its weak convergence to the original system.
For validation, FEM and experimental results are compared with the proposed model and proves its effectiveness and accuracy, which can be used in further motor structure optimization.
And this is a core mission for us: making a values-led, linked prosperity business model the business model, and proving that it's scalable, replicable.
Gopalsamy [19] also studied the existence of globally stable periodic solution of the above model and proved the following results.
