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What does it mean for a theorem to be sharp? The context is:
Theorem: If is a -system, then .
The Theorem is sharp, as shown by the family , where .
-- 130.195.253.145 ( talk) 00:30, 12 January 2015 (UTC)
Firstly the problem ...
For a given rational function where express the function as a series of terms such that:
For the first few examples this is trival..
Is there a general pattern that I could use for x/6 x/7 etc...? ShakespeareFan00 ( talk) 16:45, 12 January 2015 (UTC)
(and the article linked gives a good explanation.).
Thanks for the linked article.
A different problem is how to compute an approximate fraction based the condition that , but that's essentially binary division.
At this point I wonder if computers use series for doing floating point division in simple cases. For obviously huge divisions you use logs right? ShakespeareFan00 ( talk) 21:10, 12 January 2015 (UTC)
Mathematics desk | ||
---|---|---|
< January 11 | << Dec | January | Feb >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
What does it mean for a theorem to be sharp? The context is:
Theorem: If is a -system, then .
The Theorem is sharp, as shown by the family , where .
-- 130.195.253.145 ( talk) 00:30, 12 January 2015 (UTC)
Firstly the problem ...
For a given rational function where express the function as a series of terms such that:
For the first few examples this is trival..
Is there a general pattern that I could use for x/6 x/7 etc...? ShakespeareFan00 ( talk) 16:45, 12 January 2015 (UTC)
(and the article linked gives a good explanation.).
Thanks for the linked article.
A different problem is how to compute an approximate fraction based the condition that , but that's essentially binary division.
At this point I wonder if computers use series for doing floating point division in simple cases. For obviously huge divisions you use logs right? ShakespeareFan00 ( talk) 21:10, 12 January 2015 (UTC)