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The dynamic response of disks has been deeply studied in the last years given that their dynamic characteristics present similarities with more complex disk-like structures used in real engineering applications, such as hydraulic turbine runners.
The results show that, the new algorithm can always find the less safety factor and its critical slip surface in shorter time than many previous algorithms, and the new algorithm can be used in real engineering very well.
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Capture envelopes are presented in dimensionless form which can be used as tools in real engineering practices to plan pump-and-treat operations, groundwater remediation projects or well-head protection plans.
Extended Chebyshev spaces that also comprise the constants represent large families of functions that can be used in real-life modeling or engineering applications that also involve important (e.g. transcendental) integral or rational curves and surfaces.
In addition, a fracture criterion is proposed so that it can be used as a design criterion in real engineering situations involving prestressed concrete structures.
Then, we extend our theory into the cases, where some kind of system information can not be obtained, for better use of our theoretical results in real engineering.
We need to rebuild our economy in a different way from the past, with more jobs in real engineering not just financial engineering.
In real engineering (Pi^{(sigma_{t + Delta} )}) is not invariable.
Least squares Monte Carlo (LSM) is a state-of-the-art approximate dynamic programming approach used in financial engineering and real options to value and manage options with early or multiple exercise opportunities.
They have widely been used in many real-life engineering fields.
The efficacy of the proposed hybrid algorithm is promising and can be used in several real-life engineering and management problems.
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