Description:
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The manual states the following:

"On the one hand, this saves a considerable amount of memory with SQL queries that produce large result sets. On the other hand, you can start working on the result set immediately after the first row has been retrieved:"

The problem is that both "this saves a considerable amount of memory" and "you can start working on the result set immediately" are both good things.  In  English grammar, the use of "on the one hand...on the other..." indicates  two opposite points.  For more information on this English grammatical construction, you can check out this link: http://books.google.com/books?id=ygyFbU8h4BUC&lpg=PA153&ots=i7iduHFK82&dq=%22one%20hand%22%20%22other%20hand%22&pg=PA153#v=onepage&q=&f=false

Reproduce code:
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From manual page: function.mysql-unbuffered-query#Description
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Expected result:
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I suggest the paragraph should be changed to something like the  following:

"This saves a considerable amount of memory with SQL queries that produce large result sets, and you can start working on the result set immediately after the first row has been retrieved:"