Sentence examples for by utilizing the mathematical from inspiring English sources
Furthermore, by utilizing the mathematical induction, a sufficient condition is established to ensure the asymptotic boundedness of the sequence of the error covariance.
Thus, these demonstrate that by utilizing the mathematical models, optimal NPs can be obtained through a reliable and reasonable manner.
The Graclus algorithm [11] by Dhillon, Guan, and Kulis solved this issue by utilizing the mathematical equivalence between general cut or association objectives (including normalized cut and ratio association) and the weighted kernel k-means objective [12] and applying a multilevel framework.
Utilizing the mathematical model as a link between conceptual models and experimental testing presents significant advantages.
The mathematical model of the prototype under displacement driven has been established and simulated by utilizing the Runge-Kutta algorithm.
The investigated application further utilizes the mathematical algorithms "Marginal Space Learning", "Probabilistic Boosting Tree" and "3D Haar features".
By utilizing several mathematical techniques, the time-delay issue as well as the bilinear terms, which often emerge when designing observers for nonlinear discrete-time systems, are handled and less conservative observer synthesis conditions are derived in the linear matrix inequalities form.
In order to provide references for engineering practice, we examined the cavitation mechanism around the orifice plate and its influencing factors by utilizing mathematical analysis methods to analyze the flow conditions around the orifice plate in view of gas bubble dynamics.
A well-known approach for shape optimization problems, which is called the discrete approach, describes a domain shape with parameters of finite numbers and finds out an optimum solution of the parameters by utilizing mathematical programing methods.
By utilizing techniques from mathematical morphology, we extract features that can be used in classification algorithms to produce an automatic sunspot classification procedure.
