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By transforming the constraints containing fuzzy variables into their equivalent forms, the chance constraints are converted into deterministic constraints which consider the fuzzy risks (or reliability) as well.
The modeling of renewables output will make three constraints containing fuzzy variables, which are the supply demand balance constraint, the spinning reserve constraint, and the static security constraint.
Thus, according to credibility theory, the spinning reserve constraint of the traditional scheduling model should be changed into chance constraints containing fuzzy variables.
Efficient solutions to this problem have been considered in the divide-and-conquer approach [ 24, 25] by rearranging the constraints in an echelon form so that the constraints containing only the desired reactions appear at the bottom.
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Then, in 2005, France and Germany both exceeded the euro area's debt and deficit constraints, contained in the E.U.'s Security and Growth pact, without suffering political penalties or anything else resembling serious inconvenience.
Here, negative wealth constraints contain the borrowing constraints which mean the restriction of a loan.
The equality constraints contain the AC power flow equations, as listed in (29)–(30).
Because of the construction of the membership functions, the newly added constraints contain quadratic fractional functions.
Mission constraints contain the final velocity, the height above ground, and flight path angle.
The constraints contain unknown constants, which have been given ranges based of parameteric studies through initial optimization runs.
The virtual storage constraints contains on/off state constraints in (21), the temperature constraints in (22), and switch state transition constraints in (23).
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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