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(2013); M1, HRL index using scaling model 1; M2, HRL index using scaling model 2; M3, HRL index using scaling model 3; M4, HRL index using scaling model 4; MAT, mathematics achievement of fourth graders.
These results were compared to an ORR model with energetics approximated using scaling relationships.
Their areas were calculated using scaling law between rupture areas and M w (Murotani et al. 2008).
Figure 7 shows the obtained derivative ratio spectra of different concentrations of CAF using scaling factor = 1 and ∆λ = 8 nm.
The new formula was developed covering the comprehensive test conditions (including existing tests and newly-collected ones) using scaling arguments and data mining techniques.
Then their first derivative spectra (D1) were recorded using scaling factor = 10 and ∆λ = 8 and a calibration graph was constructed relating the amplitude of the obtained (D1) spectra of PAP at 314.5 nm versus the corresponding concentrations.
The first derivative of the above ratio spectra was then recorded using scaling factor = 1 and ∆λ = 8 and a calibration graph between the amplitude at 219 nm versus the corresponding concentrations of CAF was constructed.
The one-dimensional equations in cylindrical coordinates governing flow in an arbitrary cross-sectional shape of a cavity and the slot are derived by accounting of the order of magnitude of terms by using scaling arguments and asymptotic techniques.
The physical response of the shutdown rod was simulated both computationally and experimentally, using scaling arguments where applicable, with an emphasis on key phenomena identified by a preliminary Phenomena Identification and Ranking Table (PIRT) study.
Using scaling arguments, a set of five dimensionless groups including gravity, momentum, particle concentration diffusion and flow inertia, assessed by means of the sample loading time and the angular rotation of the inner cylinder, is proposed.
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Three IDA-based methods and the conventional method using scaling/safety factors are used for fragility analysis and their results are compared.
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