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We observe that (frac{d}{mathrm{d}x}log (phi )=0) is non-linear in x, so the change-point of the hazard function estimate should be obtained using some one-dimensional root finding techniques, such as Newton Raphson.
The base pairing information can also be obtained using some experimental methods (Gewirth et al., 1987; Wohnert et al., 1999; Zwahlen et al., 1997), which are much less expensive than those methods determining RNA tertiary structures.
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It is obtained using some sufficient conditions for two-weight boundedness of the Hilbert transform.
The solution of the polynomial is obtained using some standard techniques which, in turn, gives the design values of the members for that specified probability of failure.
Some studies, however, failed to demonstrate a statistical correlation between ISQ and ITV [18, 19], although the ITV was obtained using some equipment, such as implant engines and various custom-made manual torque devices, which may have affected their results.
The experiments are conducted on three real-world social networks, and the experimental results show that more accurate partitions according to influence propagation can be obtained using our algorithms rather than using some classic community partition algorithms.
It was reported that several coiled carbon fibers (CCFs) can be obtained using appropriate catalyst on some substrate or with the help of electric and magnetic field.
Thus, solutions for the block n 1 have to be obtained using the original syndrome S I. Some solutions are valid since they do not modify the coefficients in the intersected area.
Higher compression can only be obtained using more complex algorithms, often requiring some more time and memory to run.
Compound identifications were obtained using the Wiley library with some assignments drawn from the scientific literature.
We noticed that many of these new inequalities were obtained using Taylor's expansions of some trigonometric functions.
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