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Does the series
Have a set variable like the Zeta function or the Gamma function?
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There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.
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What is "set variable"?
For the series to be convergent, is't nessesary x to be in the unary complex circle: Abs(x)<1.
Last edited by krassi_holmz (2007-09-06 19:19:24)
IPBLE: Increasing Performance By Lowering Expectations.
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By set variable, I mean a letter that denotes that function universally. If I tell you about a function "f" I could be talking about any function I've made up, but if I tell you about the Gamma function, you know exactly what I'm talking about. Does this infinite series have a "name" that everyone knows?
There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.
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We don't need a special function, because it's
when convergant.IPBLE: Increasing Performance By Lowering Expectations.
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That's actually why I asked. I'm trying to keep a notebook of Math I know, in case I ever need to go back and find a proof for something, I'll have it written down. I was writing up the proof that:
When I noticed that it'd be easier to do if I had a name for the function. For example, if I say that:
Then it's easy to show that
but easier to write:
Solving for S(X) gives:
With out defining S(x) it becomes very tedious to write. I was just wondering if I should use S in my notes or if there was a commonly use letter to denote it.
There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.
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If you use it very fraquently, you can write in the beginning "S(x) stands for..." and then use it.
I've seen a notebook with properties of the arctangens function, written 'A' for short.
IPBLE: Increasing Performance By Lowering Expectations.
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