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Fortunately, Yirong Liu and Jibin Li [21] found that there always exists a formal inverse integrating factor for three-order nilpotent critical points in 2009, and they gave a new definition of the focal values under the generalized triangle polar coordinates and the method of commuting Lyapunov constants using the inverse integral factors for the three-order nilpotent critical point.
Once the integrating factor for the equation is determined, it leads to a time-independent integral of motion for the first-order ordinary differential equation.
We can define the integrating factor for the equation (2.15) and prove a corollary similar to Corollary 2.3 for Theorem 2.6.
Prelle and Singer have proposed an algorithmic procedure to find the integrating factor for the system of first-order ordinary differential equations.
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The inverse integrating factor method for the planar systems with a third-order nilpotent critical point was also discussed in [14, 15].
The integrating factor (IF) method for numerical integration of stiff nonlinear PDEs has the disadvantage of producing large error coefficients when the linear term has large norm.
Some people believe that through integrating the factors for economic, trade and financial development under the TPP framework, the United States could accomplish its goal of "containing China".
There might other factor influencing FCO, in the future research we will integrate these factors for generating more precise understanding of factors influencing FCO.
O'Sullivan proposed a Classification Model [ 9] in which peripherally or centrally mediated back pain is the driving mechanism behind the disorder, and integrated psychological factors for their potential to amplify pain and drive disability [ 10].
Knowledge of the German language as an inclusion criterion might have led to the exclusion of participants who were less well socially integrated, a risk factor for work disability.
Here, statistics is mentioned as one of the integrating factors.
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