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Nevertheless, the potential problems required substantial computations due to the relatively large number of unknowns (over 21,000).
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Substantial computation cost can then be saved.
The implementation of joint subcarrier assignment and power allocation needs substantial computation and therefore not considered in practical systems.
Substantial computation time savings are demonstrated, which allow a fixed error in three studied system functionals to be achieved with an order-of-magnitude reduction in computation time.
Since the inversion of the covariance matrix in Equation 7 is very cumbersome and requires substantial computation and memory, further assumptions are needed to achieve a faster implementation.
Examining the behavior of dynamical systems with many degrees of freedom undergoing random excitation at high frequency often requires substantial computation.
The substantial computation time may be reduced by using statistical learning techniques to develop surrogate models, or metamodels, which efficiently approximate the complex and implicit relationship between predictor variables, such as bridge design and ground motion intensity parameters, and the predicted bridge component seismic responses (e.g., column and bearing deformations).
It would be most economical with medical imaging systems in which the data acquisition hardware is relatively inexpensive and which requires substantial computation for image reconstruction.
This requires substantial computation times, up to 6 hours per scan on a dedicated server, to reach the required precision.
Quantum computers, besides offering substantial computational speedups, are also expected to preserve the privacy of a computation.
The computational costs of Hessian-based enhancement filters come mainly from the computation of Hessian eigenvalues corresponding to image elements to obtain filter responses, because computing eigenvalues of a matrix requires substantial computational effort.
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