kjo

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Apr
16
 comment Are the lengths from this recursive construction a geometric sequence?
@AndréNicolas: pardon my ignorance, but I don't know what to make of that assertion.
Apr
16
 comment Are the lengths from this recursive construction a geometric sequence?
I know, but we're missing a theorem, or axiom, here to justify going from "the same construction" to "constant ratio". After all, one can devise recursive constructions that result in varying ratios from one stage to the next (Ford circles, for example).
Apr
16
 comment Are the lengths from this recursive construction a geometric sequence?
I know, but the crux is showing that there is indeed a constant similarity factor between successively constructed pentagons.
Apr
16
 revised Are the lengths from this recursive construction a geometric sequence?
deleted 10 characters in body
Apr
16
 asked Are the lengths from this recursive construction a geometric sequence?
Apr
15
 accepted $\mu(A) = 0 \;\;\; \Rightarrow \;\; \int_A f \,\, d\mu = 0$
Apr
15
 revised $\mu(A) = 0 \;\;\; \Rightarrow \;\; \int_A f \,\, d\mu = 0$
added 535 characters in body
Apr
15
 asked $\mu(A) = 0 \;\;\; \Rightarrow \;\; \int_A f \,\, d\mu = 0$
Apr
15
 accepted $\mathbb{P}(\{X>a\}) = 1 \Rightarrow \mathbb{E}(X)>a$
Apr
15
 asked $\mathbb{P}(\{X>a\}) = 1 \Rightarrow \mathbb{E}(X)>a$
Apr
11
 revised Intuition behind $(\{a, b, p, q\} \subset \mathbb{R}^{+} \;\wedge\;\; 1/p +1/q = 1) \Rightarrow a^p/p + b^q/q \geq ab$
added 4 characters in body
Apr
11
 asked Intuition behind $(\{a, b, p, q\} \subset \mathbb{R}^{+} \;\wedge\;\; 1/p +1/q = 1) \Rightarrow a^p/p + b^q/q \geq ab$
Apr
8
 accepted Finding a more direct way to reach $\mathbb{E} \left( \sum (X_i - \mu)^2 \right) - \mathbb{E} \left( \sum (X_i - \overline{X})^2 \right) = \sigma^2$
Apr
8
 revised Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
edited body
Apr
8
 comment Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
Please, see under EDIT in my question. Is this what you meant?
Apr
8
 accepted Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
Apr
8
 revised Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
added 1987 characters in body
Apr
8
 comment Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
When I compute the correlation I get $\mathrm{Cov}(X_i, \overline{X})/\sqrt{\mathrm{Var}(X_i)\mathrm{Var}(\overline{X})}=(\sigma^2/n)/( \sigma^2\sqrt{1/n})=1/\sqrt{n}$... I can't figure out what I'm doing wrong....
Apr
8
 revised Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
deleted 12 characters in body
Apr
7
 revised Interpreting $\mathrm{Var}(\overline{X}) = \mathrm{Cov}(X_i, \overline{X})$
deleted 12 characters in body
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