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Done
I have a mean of 39.917 and a standard deviation of 27.888 for 24 samples. Isn't that quite a high SD for the mean and a very small number of samples?
71.100.6.147 (
talk) 01:51, 4 May 2008 (UTC)
Found Accuracy and precision. 71.100.6.147 ( talk) 04:24, 4 May 2008 (UTC)
Let be a measurable space. Let be the quotient space of all integrable functions where two functions are equal (they are in the same equivalence class) if they are equal almost everywhere and the value of the integral can be any real or complex number (i.e., K=R or C). We have the usual norm where
and we define another norm on the same space as
where is a sigma algebra on . Now the question is how to show that these two norms are equivalent. If our space was finite dimensional, it would be a very easy proof but our space is not finite dimensional. So I have to find two constants a and b such that
for all f in our space.
Now one direction is really easy. I already got it as
so my constant b is one. The question is how to do the other inequality and what is a. This is one of the many questions that I came across while studying for the final. So any tips or hints will be appreciated. Thanks
A Real Kaiser (
talk) 03:03, 4 May 2008 (UTC)
So, how can this equivalence be shown for the complex numbers? Does anyone else have any other ideas which might work for both the real and complex numbers? A Real Kaiser ( talk) 23:02, 5 May 2008 (UTC)
The article on elliptic curves gives both a geometric and an algebraic definition of addition on an elliptic curve group. How can we prove that these definitions are equivalent? That is, can we derive the algebraic formula from the geometry? -- BrainInAVat ( talk) 18:46, 4 May 2008 (UTC)
Mathematics desk | ||
---|---|---|
< May 3 | << Apr | May | Jun >> | May 5 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Done
I have a mean of 39.917 and a standard deviation of 27.888 for 24 samples. Isn't that quite a high SD for the mean and a very small number of samples?
71.100.6.147 (
talk) 01:51, 4 May 2008 (UTC)
Found Accuracy and precision. 71.100.6.147 ( talk) 04:24, 4 May 2008 (UTC)
Let be a measurable space. Let be the quotient space of all integrable functions where two functions are equal (they are in the same equivalence class) if they are equal almost everywhere and the value of the integral can be any real or complex number (i.e., K=R or C). We have the usual norm where
and we define another norm on the same space as
where is a sigma algebra on . Now the question is how to show that these two norms are equivalent. If our space was finite dimensional, it would be a very easy proof but our space is not finite dimensional. So I have to find two constants a and b such that
for all f in our space.
Now one direction is really easy. I already got it as
so my constant b is one. The question is how to do the other inequality and what is a. This is one of the many questions that I came across while studying for the final. So any tips or hints will be appreciated. Thanks
A Real Kaiser (
talk) 03:03, 4 May 2008 (UTC)
So, how can this equivalence be shown for the complex numbers? Does anyone else have any other ideas which might work for both the real and complex numbers? A Real Kaiser ( talk) 23:02, 5 May 2008 (UTC)
The article on elliptic curves gives both a geometric and an algebraic definition of addition on an elliptic curve group. How can we prove that these definitions are equivalent? That is, can we derive the algebraic formula from the geometry? -- BrainInAVat ( talk) 18:46, 4 May 2008 (UTC)