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The definitions of variables are in the Appendix.
The results may change with different definitions of variables as in most studies.
Definitions of variables and parameters in the multi-echelon supply chain network are summarized below.
In this section we perform a number of checks to control if the results presented in Section 5 are robust to different samples and/or alternative definitions of variables.
Table 4 Definitions of variables of model Endogenous variables ( {D}_y^M ) Market demand for final output (y = CPO) ( {D}_y^{mathrm{EU}},{D}_y^{mathrm{ROW}} ) Demand for y from EU and Rest of the World (ROW), respectively.
As definitions of variables, d n denotes the decision to start smoking, y n denotes the degree of cigarette dependence, and X n includes constant time preference, present bias, gender, age, age squared, the year of education, household income, and relative risk aversion.
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For the above definitions of variable-order fractional derivative, when (alpha(t)=q>0), (1), (2), (3) describe the fractional derivative.
Use of different definitions of variable sites does not alter this conclusion (see Materials and Methods and fig. 2 c and d).
One of the things I think it would be good to break backwards-compatibility on is the definition of variables.
The definition of variables of interests is in Table 1.
Fig. 2 Definition of variables in the robotic fish [33].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com