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For the general problem (P).
The implications for the general problem with finite-rate chemistry are discussed.
We also develop an efficient heuristic algorithm for the general problem.
Implications are pointed out for the general problem of calculating equilibrium states in non-ideal reaction systems.
By applying Theorem 2 we are able to prove an existence result also for the general problem (22).
We use now the ideas of Proposition 1 to construct lower and upper solutions for the general problem (1).
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⇐: Let R be a solution of the general problem for 𝒞 of size k.
The general problem for ustwo sustaining Rando is that the app has become more used than can be supported by its experimental origins.
"But there was also the general problem of management, which is a general problem for the whole country".
All of our results also hold for the more general problem of counting the number of draws in which a given player is the winner.
We extend this approach and prove the existence of multiple solutions for the more general problem (1.1).
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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