The example you provide ("The air forces..") is a bit unusual and unrepresentative.
Webster's Online Dictionary gives the following definitions:
1. In an very impressive manner; "your performance will improve dramatically".
2. In a dramatic manner; "he confessed dramatically".
3. With respect to dramatic value; "the play was dramatically interesting, but the direction was bad".
For the sentence you provided, I would rule out options 2 and 3. That leaves option 1, which means something like مثير or مفاجئ, although that is usually used in conjunction with verbs like "change, improve, rise, fall, increase, drop" etc.


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Note added at 42 mins (2004-06-22 09:23:25 GMT)
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Now that you\'ve added the sentence - I would translate \"dramatically\" here as جذرياً:
مختلفة جذرياً عن - تختلف بشكل جذري عن