Sentence examples for many complex phenomena from inspiring English sources

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Nonlinear partial differential equations are widely used to describe many complex phenomena in various fields including the scientific work and engineering fields.

Fractional Brownian motions (fBms) play a central role in the modeling and analysis of many complex phenomena in applications where the systems are subject to "rough" external forcing.

Systems of nonlinear evolution equations are the mathematical models that are used to describe many complex phenomena arising in science and engineering.

They exhibit so many complex phenomena that there is a wide range of research problems associated with them, including increased global awareness of the environment and the worldwide introduction of stringent combustion emissions regulations.

However, the design of these bridges makes very high demands on the planners, which have to take into account many complex phenomena for the calculation and the design of such structure.

It is believed that description of dynamics with a derivative or integral of noninteger order can be one of the most effective methods for modelling of real properties of many complex phenomena and industrial processes, especially based on novel materials and technologies [10, 12, 13, 32 34].

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Switching systems provide a natural and convenient theoretical account for mathematical modeling of many complex real phenomena and practical applications.

Recently, the fractional calculus has been used successfully to describe many complex nonlinear phenomena and dynamic processes in physics, engineering, electromagnetics, acoustics, viscoelasticity, electrochemistry, material science, etc. [24 40].

The simulation tool needs to involve many complex physical phenomena to be able to predict accurately the flow and thermal field in the pool type reactor.

The fractional calculus has already become a powerful tool which describes many nonlinear complex phenomena arising in fluid mechanics, thermodynamics, plasma dynamics, continuum mechanics, quantum mechanics, electrodynamics and biological systems [1, 2].

However, it may be that life expectancy, like many other complex phenomena, is inherently unpredictable and the best we can do is improve our appreciation and communication of this uncertainty.

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