# Autodesk Moldflow 2012 Torrent

Autodesk Moldflow 2012 Torrent

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Prove that every measure on $S$ is an element of $\mathfrak{S}$.

The question:
Let $\mathfrak{S}$ be the collection of all measures on $S$, and $S$ be a countable and infinite set.
Prove that every measure on $S$ is an element of $\mathfrak{S}$.

I am familiar with the following theorem:

Let $X$ be a non-empty set and $S$ be a semigroup. Then the collection $\mathfrak{S}$ of all finite subsets of $S$ is a semigroup with the operation of set union.

In fact, I believe that this theorem is a special case of the above theorem.
But I am having trouble finding a proof for the above theorem.
Any hint or suggestion will be appreciated.

A:

Assume $A_i$ are subsets of $S$ and \$\mu_i \in \

Thursday, January 19, 2017