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Fourier integral transform method and transform matrix approach are employed to reduce the current thermocontact problem to the second kind of Cauchy-type singular integral equation.
Since the formulated optimization problem is a nonlinear integer optimization problem which cannot be solved conveniently using traditional optimization tools, we apply Lagrange partial relaxation and McCormick envelopes method and transform the original optimization problem equivalently into three convex subproblems, which can then be solved by a proposed iterative algorithm.
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Trapezoidal fuzzy membership functions are defuzzified with the weighted average method and transformed into numeric values as weight matrix (Table 2) and initial state vectors.
Trapezoidal fuzzy membership functions are defuzzified with the weighted average method and transformed to [−1, 1] interval as a weight matrix.
For each tweet the words were stemmed using the Snowball method and transformed to lowercase before being split into n grams of size 1-5, retaining 2,000 features, with word frequency normalised for each vector.
Plasmids thus generated were transformed into TOP10 competent bacteria using the heat shock method and transformed bacteria were spread onto LB-Agar plates containing 100 µg/mL ampicillin, and 50 µL of 10 mg/mL 5-bromo-4-chloro-3-indolyl-beta-D-galactopyranoside (X-gal).
The data were normalized by quantiles, model-fitted using Tukey's Median Polish method and transformed into log2 values.
Raw data were transformed, background corrected by RMA, normalized by quantiles, summarized by medianpolish method and transformed into base two logarithms.
Competent cells were prepared by the rubidium chloride method and transformed with 10 ng of the recombinant plasmids as described previously.
All constructs were sequenced and mobilized into Agrobacterium tumefaciens GV3101 through the freeze-thaw method and transformed into wild-type A. thaliana (Col-0) employing the floral dip method (Clough and Bent, 1998).
Competent cells of E. coli DH5α were prepared by CaCl2 method and transformed with the ligation mix and plated on Luria-Bertani (LB) agar plates containing ampicillin (selection marker), IPTG, and X-gal for blue-white selection [ 54].
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