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The key idea of the proposed method is the use of the equivalent variables named as evidence-based fuzzy variables, which are special evidence variables with fuzzy focal elements.
On the basis of the equivalent variables, an uncertainty quantification model is established, in which the unified probabilistic information related to the uncertain responses of engineering systems can be computed with the aid of the fuzziness discretization and reconstruction, the belief and plausibility measures analysis, and the interval response analysis.
The following equivalent variables are introduced: sin frac{varTheta }{2}=mcdot sin phi, (9).
A key feature of the approach is that the different scales of analysis are connected in that equivalent variables are used, each analysis does not try to be a scaled version of the other, allowing the use of more suited techniques and predictors for each scale.
Note however that in that method, classes of equivalent variables are detected and eliminated before and during the invariant computation, which would correspond to local symmetry detection and was not implemented in our prototype.
In Stage 2, sampling was stratified by the equivalent variables for HPV18, and with a similar strategy we further sampled 112 women from the 2,582 women who were HPV18 DNA negative at enrollment and not selected in Stage 1.
Similar(53)
We may compare the effects of smoothing splines, least squares splines, and penalized least squares splines by treating them as equivalent variable-kernel smoothers.
The derived simple expressions are given by defining an equivalent variable ω eq-k, 2 ≤ θ ≤ 3. When θ = 2, the derived results are the tight lower bounds to CDF and PDF.
Rituximab and the nanoworms were dosed at an equivalent variable fragment dose of 600 μg.
Step 3. Using the volumes over each road segment resulting from the assignment in Step 2, recalculate the equivalent variable costs for each road segment.
The Prorate Algorithm solved a series of variable cost problems by converting the fixed costs into equivalent variable costs by dividing the fixed costs by the volume transported over the arc.
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CEO of Professional Science Editing for Scientists @ prosciediting.com