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Piketty has revived Marx's belief that capital would accumulate and become concentrated in ever fewer hands, a contention that was always suspect, both because Marx set out in Das Kapital to prove the conclusions he had previously reached in The Communist Manifesto of 1848 and because of a lack of anything approaching adequate economic data to make his case.
To prove the conclusions of Theorem 1.1, we will consider two cases as follows.
In the following, we will prove the conclusions (2 -(4) are true.
In the following, we assume the other case to prove the conclusions of Theorem 2.2.
We prove the conclusions of Theorem 1.2 by using the properties of two functions X ( x ) and U ( x ).
In fact, we can use the way in Theorem 2.2 to prove the conclusions in Theorem 2.1.
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Thus, we prove the conclusion.
Now we prove the conclusion (II).
Now, we prove the conclusion (iii).
Now we prove the conclusion (I).
Next, we prove the conclusion (2).
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