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These failure predictions are based on analytical solutions, which could effectively save calculation resources.
Hence, it is demonstrated that the ESM is able to save calculation time and improve the computational efficiency while keeping the calculation precision for nonlinear dynamic reliability analysis.
The engine would minimize error in many scientific calculations; it would save calculation time, it would keep menial tasks menial; and it would give intuitive ideological leaps by presenting theories with more direct access to data.
Three-dimensional simulations with either the Reynolds Stress Model (RS M turbulence model, for accuracy, or the Renormalization Group RNGG) k e model, to save calculation time, should be used together with the stochastic particle tracking.
To save calculation time, only vertical component seismo-grams were considered; i.e. only the reference (ZAG) and 24 other traces shown in Fig. 1(b).
To do so, first a model with smaller scales, with dimensions 10 m × 10 m in plan, with depth of 10 m was considered to save calculation time.
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The proposed GA in this study has a checking module that reduces iteration and saves calculation time.
This basic optimization atomic workflow (Basic Opt WF) runs a pre-optimization step, which saves calculation time in all subsequent optimizations included in the spectroscopic workflows (Spec1 WF…Spec1WF).
Moreover, a fast codebook searching method is presented for the purpose of saving calculation time when the codebook size is huge.
For saving calculation time, we use the concept of Kronecker product of matrix A with matrix B of orders ({p}times {q}) respectively and is defined as: begin{aligned} {A}otimes {B}= left( begin{array}{cccc} {a_{11}}{B} & {a_{12}}{B} & cdots & {a_{1q}}{B} {a_{21}}{B} & {a_{22}}{B} & cdots & {a_{2q}}{B} vdots & vdots & vdots & vdots {a_{p1}}{B} & {a_{p2}}{B} & cdots & {a_{pq}}{B} end{array} right).
PLS, being a linear algorithm, has an exceptional property for saving calculation cost over any non-linear method.
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