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This paper presents a simplified procedure to approximate the temperature change for energy pile design.
In 1953, Mann [1] introduced the following iterative procedure to approximate a fixed point of a nonexpansive mapping in a Hilbert space : (1.1).
In 1953, Mann [4] introduced the following iterative procedure to approximate a fixed point of a nonexpansive mapping T in a Hilbert space H: (1.2).
From a design perspective, the locally optimal stage one sample size is defined in terms of Fisher's information and a procedure to approximate it is suggested.
We also present an analytical procedure to approximate the overall contribution from all the queue-forming vehicles by a Gaussian line-source plume formula.
We used a linearization procedure to approximate the non-linear term in the governing equation enabling the mathematical model to be solved using a combination of Laplace and Fourier cosine transforms.
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It uses MCMC procedures to approximate the posterior distribution of rates and divergence times and simultaneously infer their credibility intervals.
We repeat the above procedure to obtain approximate transition densities for each, and form the likelihood function (16).
We applied a bootstrap procedure to obtain approximate representations of the sampling distributions for the measures' SRMs and to estimate their 95% confidence intervals [ 32].
Hence, Propositions 9.1 9.2 and the multiscale nature of the problem induced by the trace-class noise suggests a procedure how to approximate the rate function and the associated LDP in practice.
As in the classical approach to design of experiments, an essential part of the solution procedure is to approximate the resulting joint-confidence region.
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