The results of the derivative method were validated by studying flatness factor, a quantitative measure of local intermittency in the wavelet coefficients at various scales.
Amplification was performed in a LightCycler® 480 Real-Time PCR System (Roche) in 384-well plates, and the amplification curves were analysed using the Roche LC software, both for determination of Cp (by the 2nd derivative method) and for melting curve analysis.
The relative content of cDNAs, with respect to β-actin cDNA, was determined by the second derivative method with kinetic PCR efficiency correction.
We derive the shape gradient function by using the material derivative method and apply it to the free-form optimization method for determining the optimal shape.
With the assumption that the journal and the pads are disturbed with the same frequency, the dynamic coefficients of tilting-pad gas bearing are computed by using the partial derivative method and the equivalent coefficient method.
The PCR conditions were 95°C, 10 min followed by 45 cycles at 95°C, 10 s and 60°C, 1 min. The crossing point (Cp) was determined by using the second derivative method and data were normalized with miR-9-5p.
The DV curves calculated by the proposed method are much smoother than that by the numerical-derivative method.
The following approaches are discussed: the compound asymptotic method by Mazja et al., the Eshelby-like method used in the classical works on the mechanics of composites, the homogenization method, and the topological derivative method proposed by Sokołowski and Żochowski.
The budgets of kinetic energy, helicity, and enstrophy derived from the bracket formulations are properly inherited by the finite difference equations obtained by invoking the discrete variational derivative method combined with the mimetic finite difference method.
These are similar to the log log derivative method developed by Tiab (1975), Tiab and Kumar (1976a, b) and Bourdet et al. (1983), and are reliable diagnostic tools for flow regimes identification and reservoir characterisation.
