Using the method of forward inclusion, we introduced in this model, one by one, all variables with a p value between 0.05 and 0.20 in at least one of the initial subtype-specific analyses in step two or the gender-combined analyses in step one.
It is needed to note that one can also get Theorem 3.5 by using the method of Minkowski functional, which is introduced in [22].
By using the method of Kupershmidt, Hegazi and Mansour also introduced a new q-extension of Bernoulli numbers and polynomials (see [1, 3, 4]).
An experimentally-validated lumped-parameters model of the bi-stable harvester is also introduced, and solved using the method of multiple scales to study the influence of the shape of the potential energy function on the output voltage.
Instead of using the traditional method of introducing genetic mutations into mice to create "knockout" mice — or animals with customized genes — they found they were able to find naturally occurring variants among animals in the wild.
Next, a new variable was added successively in each step (using the forward method of introducing variables manually).
In order to use the method of multiple scales properly, we introduce new detuning parameters for the analysis of the subharmonic resonance.
To derive our post-processing method, we first use the method of images, which enables us to introduce all key factors involved on TCR measurements, including casing length, casing radius, casing thickness, formation resistivity, location of injected current, and resistivity distribution of formation layers.
The large duration of the database allows us to accurately assess the presence of a tie by using the method introduced by Miritello et al. [17] which splits the observation period in different time windows and uses each of them to characterize and assess tie presence.
In this paper, we address the issue of improving the accuracy of approximations to derivatives of the solution by using the method introduced by Thomée [19].
In order to investigate the purely imaginary roots of (3.13) by using the method introduced by Beretta and Kuang [21], we rewrite equation (3.13) as P lambda,tau)+Q lambda,tau e^{-lambdatau}=0, with P lambda,tau)=lambda^{3}+a_{2} lambda^{2}+a_{1}lambda +a_{0}, qquad Q( lambda,tau)=b_{2}lambda^{2}+b_{1} lambda+b_{0}.
