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We first use mathematical derivations to explicitly derive the relationship between the c-statistic and the outcome odds ratio and the variance of the continuous explanatory variable under the assumption that the continuous explanatory variable follows a normal distribution in subjects with and without the outcome.
Practical utility is demonstrated by applying these analytical derivations to a candidate optimal trajectory near the Moon subject to solar and Earth perturbation.
Two new length scales with variable neutral plane heights are proposed by theoretical derivations to develop scaling models of spill plume.
This measure compares the spectra from right hemisphere derivations to left hemisphere derivations and was calculated on a filtered version of the EEG data (50 Hz IIR notch filter and a 6-pole Butterworth high-pass filter with a cutoff at 0.5 Hz) inclusive of recording pauses and high amplitude artefacts.
We use Lie algebra of derivations to construct a tangent space along trajectories of vector fields, induced by CRNs, such that their dynamical structure is preserved via the construction of a diffeomorphic map Φ.
Similar derivations to (22) can be used to show that the network-coded retransmission is applicable to QAM signals.
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Qidr, a noun derived from the same root, means "cauldron, kettle", and also gives the verbal derivation, "to cook".
Then, there's 'skel.' There's a derivation to that.
An approximation methodology is proposed during derivation to study the in-depth absorption scenario.
Kimura uses a lengthy derivation to show that for selectively advantageous mutants the equation for the rate of evolution is k = 4Nsv (Kimura 1979, p. 110).
Appendix 1, describes the derivation to Eq. (2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com