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Recall that a single-valued dynamic system is defined as a pair ((X,T)), where X is a certain space, and T is a single-valued map (T:Xrightarrow X), that is, (forall_{xin X}{T x in X}).
Recall that a set-valued dynamic system is defined as a pair ( X, T ), where X is a certain space and T is a set-valued map T : X → 2 X ; in particular, a set-valued dynamic system includes the usual dynamic system where T is a single-valued map.
Recall that a set-valued dynamic system is defined as a pair ( X, T ), where X is a certain space and T is a set-valued map T : X → 2 X ; here 2 X denotes the family of all nonempty subsets of a space X.
A set-valued dynamic system is defined as a pair ((X,T)), where X is a certain space, and T is a set-valued map (T:Xrightarrow 2^{X}) ((2^{X}) denotes the family of all nonempty subsets of a space X).
I try to stay true to the original idea, but there is a certain space here for change and development in reaction to pragmatic considerations," he continues.
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Let X be a certain space and ((A,B) ) be a nonempty pair of subsets of X.
If there is a certain institutional space that enables the exclusion mechanism to operate effectively, the resource transformation pattern will become the dominant logic of generating educational inequality.
He argued that while Jiang Zemin was president, there was "still a certain space for free speech", but that conditions deteriorated after Hu took power.
There is a certain amount of space in their music and respect for contrasting movements, but the idea goes much deeper than that.
From several time snapshots shown, it can be seen that particle trajectories in a narrow channel did not follow the direction of gravity and that there is a certain competition for space between particles settling and fluid flowing upward.
If you are allocated a certain space, make sure you stay in this area and put your tent up in the right place.
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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