56m
comment "We is who the Earth is for?"
The Churchill quote is probably not due to him at all ... public.wsu.edu/%7Ebrians/errors/churchill.html
3h
comment Almost surely vs expectation
Also, in probability theory the term "characteristic function" has a different meaning.
3h
comment Almost surely vs expectation
$X_i$ has value $i$ with probability $1/i$, otherwise zero. In probability theory we do not use $\chi$ like this, instead $1_{(0,1/i)}$.
3h
comment Non-standard models for Peano Axioms
It is important that we are using a first-order version of Peano's axioms. (Peano himself phrased induction as a second-order property, and Goedel need not apply in that case.)
3h
comment Calculation of $\lim\limits_{x \to 0} \frac{\frac{\mathrm d}{\mathrm d x} (e^{\sec x})}{\frac{\mathrm d}{\mathrm d x} (e^{\sec 2x})}$
Maple gets the answer $1/4$.
15h
answered Baire sets in locally compact Hausdorff spaces
22h
comment What's the origin and meaning of the adjective "free" in mathematics?
And is there some reason to think these are "origin" or "original motivation" for the term?
1d
comment Baire sets in locally compact Hausdorff spaces
So there will be two parts to the proof. (a) $\mathcal A := \{B \cap F \; | \; B \in \mathcal Ba(X)\}$ is a sigma-algebra in $F$; and (b) every compact $G_\delta$ of $F$ belongs to $\mathcal A$.
1d
answered If $f$ is continuous at $x_0$, then $|f|$ is continuous at $x_0$
1d
answered Do people think in a language?
2d
answered Is this an identity: $\int_X f \, d\mu=\int_{\mathbb{R}} \mu(f^{-1}(t)) \, dt$?
2d
comment Evaluate $\int_1^\infty \frac {dx}{x^3+1}$
Generally, contour integration is helpful to evaluate a definite integral if the integral is evaluated between two singularities of the integrand (or at least points special in some way for the integrand). Here, $1$ is not a special point for the integrand. Which means, perhaps: evaluating using a contour is the same work as evaluating without using a contour.
Dec
15
comment How to integrate using known distributions
If you know the moments of the Rayleigh distribution, that will do it.
Dec
15
comment How to integrate using known distributions
You have $-x^2$ not $-x$ in the exponential. Do you know a distribution for something like that?
Dec
15
answered Why is one of the terms ignored when finding the variance of a sample of 5 sales?
Dec
15
comment I can't find a comment to my answer
Useful to know. Sometimes I have posted a comment, then soon deleted it when I saw it was nonsense. But notifications may have been sent anyway!
Dec
15
comment I can't find a comment to my answer
When the notification was sent, the comment existed. Deleting (or changing) the comment does not affect the notification.
Dec
15
comment Radon-Nikodym: Absolute Continuity and Mutual Singularity
What have you done so far? Do you have examples of any one of these?
Dec
15
comment File browser with treeview
By "pain" he means "pane".
Dec
14
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