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Substituting w into (1.9), we know that the coefficient a k n of the highest degree term in z is not zero.
Noting that the coefficient of the highest degree term of Q ( z ) is 1, it is easy to see from (3.2) and (3.3) that Q = r ¯ r ̲ and a r 2 − r ¯ r ̲ = ( a − 1 ) r ¯ ¯ r ̲ ̲.
It is well known that the coefficient c 1 ( 0 ) of third degree term of Poincaré normal form of Eq. (3.6) is given by [4] c 1 ( 0 ) = i 2 ω 0 τ j ( g 20 g 11 − 2 ∥ g 11 ∥ 2 − 1 3 ∥ g 02 ∥ 2 ) + g 21 2. Consequently, we have the following theorem on the bifurcating periodic solution.
Node score is an expansion of the node degree term, and is related with the connectivity of a node in regard to its neighbors in every module.
Look for a factor that, when multiplied by the highest degree term in the denominator, will result in the same term as the highest degree term of the dividend.
You need to get rid of the lower degree terms and leave only the highest degree term; it is called the 'dominant' term.
Similar(53)
Then, L(x m ) = λx m + lower degree terms, where m ≠ n.
Suppose L(x k ) = λx k + lower degree terms, with k ≠ n.
However these are ad hoc process, only feasible for low degree terms.
The geometries of higher degree terms are described elsewhere (e.g. Langel, 1987).
A polynomial model was used for the responses produced from Scheffe's simplex lattice design with fourth degree terms.
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