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Multiplying the integral factor (e^{-t}) and integrating over ([0,t]) again yields x t)=e^{t}x 0)+operatorname{sh}tbigl(x'(0 -x 0 bigr)- int_{0 -x 0 bigrtorname{sh}(t-s)f_{3}(s),ds.
Gaining employment is an integral factor in the successful resettlement and integration of refugees.
And moreover the system is integrable at the origin with the above integral factor M; then we have ξ = x − 3 / ( q + 1 ) y − 7 / ( q + 1 ) M 4 / ( q + 1 ).
The controller parameters analyzed were prediction and control horizons, suppression factor, reference trajectory and integral factor.
Movie stars, now an integral factor for many Broadway shows, also prefer the safety of proven vehicles, Mr. Haimes noted.
Moreover, adipocyte size is known to be an integral factor determining WAT health with hypertrophied adipocytes being associated with insulin resistance and inflammation41,42.
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Under a presidential decree, Integral Factors had a monopoly on insurance for all Government corporations and its premiums last year were worth $25 million.
"Societal and political considerations are also integral factors in determining the most appropriate policies toward managing the water resources in the delta and balancing the needs of all water users".
If we want to obtain the sufficient condition that the origin of system (2.1) | δ = 0 is a center, then it is valid to find the first integral or integral factors of system (2.1) | δ = 0.
Descriptors involved with the net surface charge and energy level of substrates seem to be the common integral factors for defining binding specificity of selected substrates to BCRP polymorph.
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com