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4 a global connection net of anti-imperialistic incitement

Good stuff. Just a few small changes: 'a globally connected net of...' or, more concise, 'a global net of...'

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their dominance's range and intension
Good. I think I'd re-phrase this slightly, though. 'The range and strength of their dominion/domain.' 'Intension' doesn't work as a synonym for 'intensity' in this context.

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the  dormitory's range and tension
The dormitory? Doesn't that mean 'sushe'? ;-) I think you mean the 'dominion' or the 'domain'?

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intense power and limit of their domina

Domain or dominion. Don't forget 'the' as well.

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'regulation' doesn't really get the meaning of 'rule'. How about, 'their rule's range and strength'?

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What's an appropriate synonym for 'rule'? Sov... or Dom...

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What's an appropriate synonym for 'rule'? Sov... or Dom...

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Sovereignty/Dominion (Empire also works here because the context is colonization, which is a form of empire-spreading).
what's an appropriate synonym for 'intensity'? St...

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3.their rule's openness and intension
Good try, but 'openness' is quite far away in meaning from 'scope'. Perhaps you could use the 'range' instead? 'Intension' has quite a different meaning from 'intensity'. I would recommend 'strength' or 'efficacy' or 'power', for example.
4.The overworld resistance in network against imperialism
'Overworld' could just be 'global' instead. Otherwise, good job.

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'The rule' doesn't quite get the meaning of whose rule. 'Their rule's effective range and potency'. Pretty good.

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the range and tension of their rule
'Range' is an appropriate synonym for 'scope'. Well done. 'Tension' does not work here, though. 'Intensity' is not a synonym for 'tension' in this context.

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3 The range and intention of their established regular

The range/breadth and strength/power of the established rulers.

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a apparent changing opinion environment and behavior

There are some problems with the grammar here. You're missing some key prepositions. Without them, the meaning is very unclear: 'A clear change in opinions and behaviour in the environment'.

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different idea and scope of behavior about the climate

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different idea and scope of behavior about the climate

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Be careful not to change the meaning. The original has nothing to do with the weather. 'About the climate' means, 'about the typical type of weather'. 'Climate' is being used in a different way here, to mean 'the general view' or 'the common opinion'.

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I don't think you have paraphrased enough here. The structure is the same as the original: the only difference is 'ethos'. How about the following: 'A vast difference in views...'

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The climate which have many differences between the view and scope of movement

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The climate which have many differences between the view and scope of movement

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This is a very good try. There is, however, one problem here. In the original, there is no contrast between 'the views' and 'the scope of movement' but in your paraphrase, it looks like there is a contrast. 'The climate which has many differences in views and scope of action'. 'Scope of movement' isn't really the same thing as 'scope of action'.

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A quite different environment of view and extent of action

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A quite different environment of view and extent of action

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Good stuff. Just a few small things: 'view' should be plural.

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A distinct viewpoint and scope of behaviour 

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A distinct viewpoint and scope of behaviour 

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'A distinct viewpoint' is a nice try, but it's not the same thing as a 'climate of opinion'. A 'climate' includes a wide range of people, whereas 'a distinct viewpoint' may suggest just one person. 'Scope of behaviour' is a lovely paraphrase of 'range of action'.

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This is good, but it's incomplete. You're missing some key elements of the original.

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A difference between opinion and action

Be careful. The original meaning is not a contrast between opinion and action. Both 'opinion' and 'action' are two parts of the same thing, not a contrast.