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I hereby authorize whoever it may concern to post my comments as answers if they wish, whether as community wiki or otherwise if you like imaginary internet points.


Jul
6
comment Gradient-descent algorithm always converges to the closest local optima?
Perhaps if you define precisely what you mean by "between $\vec x_0$ and $\vec x_1^*$, $f(\vec x)$ is convex".
Jul
6
comment set notation for the maximum value in a mathematical equation
If you have a fixed $a$ and you want to find the maximum value of a function $f(a,b)$ over all the values of $b$ in some set $S$, you would write that as $\max\limits_{b\in S} f(a,b)$.
Jul
6
comment Getting a function constant values from it's f(x)
Anyhow you don't have enough information to find a unique solution. You have three unknowns $A$, $B$, and $C$, but only two equations $f(-2)=41$ and $f(5)=20$.
Jul
6
comment set notation for the maximum value in a mathematical equation
The maximum of a set $S$ is denoted $\max S$. So for example if $S=\{2,3,4\}$, then $\max S=\max\{2,3,4\}=4$. I don't know what you mean by $\{{\rm leva},b(|a|,|b|)\}$.
Jul
4
comment Gradient-descent algorithm always converges to the closest local optima?
Seeing as you've started a bounty, can you elaborate on what you're looking for?
Jul
4
revised The max arc length for 3 symmetrical circles to intersect
added 104 characters in body
Jul
3
revised How does one cut onions in a mathematically efficient way?
added 22 characters in body
Jul
3
answered How does one cut onions in a mathematically efficient way?
Jul
3
answered Characterization of sphere.
Jul
3
comment Division of plane into equal area regions
The content of the links is literally the very conjecture in the question and the information that Hales proved it in 1999. Not sure what more you expect me to add.
Jul
2
comment Find if a point lies in all given circles
@Steven: I'm afraid not, but I wouldn't be surprised if it were exponential.
Jul
2
comment Why is Volume^2 at most product of the 3 projections?
The problem has been posed here previously, but since this question is specifically asking for a simple proof, I would not vote to close as duplicate.
Jul
2
awarded  Curious
Jul
2
comment Characterization of sphere.
It's nothing to be embarrassed about if you have a conceptually clear question but are unfamiliar with the proper notation; you should just write your question in conceptual terms that you are comfortable with. It's perfectly possible to write a good mathematical question with little or no formal notation, and anyway an excess of notation can be just as hard to read as it is hard to write.
Jul
2
comment How do you call a scale that starts at $∞$, has $1/n$ divisions and tends to $0$?
I would guess "reciprocal scale". It brings up some relevant-looking hits on Google at least.
Jul
2
comment Characterization of sphere.
Maybe I'm a bit thicker than Eric, but I don't understand your notation. The dot product of $\mathbf a$ and $\mathbf x$ is not the same as the distance between $\mathbf a$ and $\mathbf x$. And in neither case is the set of all $\mathbf a$ such that $\exists\mathbf x\in H:\mathbf a'\mathbf x=0$ the set of all lines intersecting $H$.
Jul
2
comment How to average 3D Scale Vector?
Pretty sure what you actually want is the geometric mean, even though it doesn't match all the examples in your question.
Jul
2
comment Sampling on Axis-Aligned Spherical Quad
Assuming $\phi$ is latitude, pick $z$ uniformly between $z_0=\sin\phi_0$ and $z_1=\sin\phi_1$, and let $\phi=\sin^{-1}z$. The longitude $\theta$ you can pick uniformly between $\theta_0$ and $\theta_1$.
Jul
2
reviewed Leave Open Probability Help Poisson distribution
Jul
2
revised Find if a point lies in all given circles
added 200 characters in body