Sentence examples for mathematical methods such from inspiring English sources
Direct mathematical methods such as universal generating functions [9, 10] are utilized by analytical techniques for evaluating system and customers' reliability indices for determined states.
Several mathematical methods such as ordinary differential equations (ODE -based mODE -basedstochastic models hand been developed for understochastiche dynamodelsf gene regulation.
Mathematical methods such as the extended tanh, the exponential function and the sech p −tanh p function methods are used for analytical treatment of this model.
Moreover, the operation speed is high because complex mathematical methods, such as Runge Kutta method, of solving the high-dimensional partial differential equations are avoided.
Some mechanical and mathematical methods, such as the J integral and interaction integral methods in fracture mechanics, the support vector machine (SVM) method, are combined.
Rapid nondestructive testing technology is also being developed and some mathematical methods such as fuzzy evaluation, gray theory, and neural networks have been introduced into structural assessment [110, 111].
Traditional mathematical programming methods such as the weighted aggregation methods [4] cannot identify the whole PF in one single run.
Over the last half century efficiency has been calculated relative a frontier function using either non-parametric mathematical programming methods such as the Data Envelopment Analysis DEAA) or econometric/regression methods.
An effective way to solve this problem is to apply some mathematical curve smoothing methods such as the data average method and the linear iterative method.
Analyses were carried out by using spatial analytics, mathematical and statistical methods such as Holdern analysis, path analysis and other statistical analyses.
Additional work pioneered by Brantingham and collegues (2005 20099) demonstrate how mathematical and computational methods, such as those based on the abstract state machine (ASM) paradigm, allow for the modeling and simulation of crime patterns.
