Reputation
Next tag badge:
87/100 score
19/20 answers
Badges
3 37 87
Newest
 Revival
Impact
~452k people reached

Jun
20
comment On the same straight line there cannot be constructed two similar and unequal segments of circles on the same side.
Oh, I see what you mean. Well, the very next proposition states that "Similar segments of circles on equal straight lines equal one another", and since a straight line is equal to itself, similar segments of circles on it cannot be unequal. So no.
Jun
20
comment On the same straight line there cannot be constructed two similar and unequal segments of circles on the same side.
Can you clarify your question? Right now it looks like your post is contradicting itself, because you say we cannot have "similar segments of circles and unequal ones" and then ask if we can have "similar segments of circles but unequal ones", which is basically the same as far as I can tell.
Jun
19
comment How to solve this riddle?
I figure they're rooms in an Escherian/Incept‌​ionesque geometry.
Jun
19
comment Points on a 2D plane spanned by a turtle graphics system
If ${+}F{-^2}F{+}$ is an irrational multiple of $F$ (i.e. $\cos\delta$ is irrational) then the set of reachable positions along the initial direction is dense, and you're pretty much done, no?
Jun
18
comment Curve meeting itself everywhere
Doesn't this still fail to satisfy the criterion? You have $\gamma = h\cup p : [0,2] \to [0,1]^2$, and if you take $I_1=[0,1]$, $I_2=[1,2]$ you have $\gamma(I_1)=\gamma(I_2)$.
Jun
17
comment How big is the chance that a arbitrary man is taller than a arbitrary woman?
Do you know how to find the distribution of $X-Y$ when $X$ and $Y$ are normally distributed and independent? If so then note that $\mathbb P(X>Y)$ is the same as $\mathbb P(X-Y>0)$.
Jun
17
comment Visibility of the surface of a sphere
@Nicolas: Did you sign up to this site just to complain about several-year-old posts? If you read the question carefully, you'll see that the asker already knows the value ("The answer is so nice") and wants to know if there is an intuitive explanation for it ("I'm really after the intuition"). Anyway, I did give the value in the last two sentences (the ratio of $1-1/N$ and $1$).
Jun
13
revised Can I interpret the exponential of the derivative operator, $e^D$, as infinite shift operators each shifting “infinitesimally”?
deleted 12 characters in body
Jun
13
comment How to tell if 3 connected points are connected clockwise or counter-clockwise?
Use the shoelace formula without taking the absolute value to get the signed area of the polygon. The sign will tell you the polygon's orientation.
Jun
12
revised Can I interpret the exponential of the derivative operator, $e^D$, as infinite shift operators each shifting “infinitesimally”?
added 83 characters in body
Jun
12
answered Can I interpret the exponential of the derivative operator, $e^D$, as infinite shift operators each shifting “infinitesimally”?
Jun
11
awarded  Good Answer
Jun
11
comment Which mean to calculate for a series of points (x,y)?
Standard deviation is always computed using the arithmetic mean.
Jun
9
comment Why is $e$ so special?
I briefly skimmed the other threads but didn't see anyone say it, so I will: It's not $e$ itself that is special, it's the exponential function $\exp(x)$ (or $e^x$). The number $e$ just happens to be $\exp(1)$.
Jun
8
comment How to get uniform distribution with two dice rolls?
Yes, this is uniformly distributed between 1 and 12. You can do even better: use the first dice roll plus 6 times (the second dice roll minus 1), which is uniformly distributed between 1 and 36.
Jun
6
comment Product of Wishart and inverse Wishart distributions
If two random variables are not independent, you can't find the distribution of their product unless you know their joint distribution.
Jun
6
revised Limitation of Shapley value?
edited title
Jun
6
comment Why covariance constraint subsumes the average power constraint?
I think you've misunderstood the meaning of the word "subsumes". What they mean is that if you want to solve the second problem, you can do so by solving an instance of the first problem (in particular, by taking $S$ to be $P$ times the identity matrix).
Jun
6
comment Curve scaled by vector.
No one has mentioned offset curves / parallel curves yet?
Jun
4
comment Loops Vs Meshes. Graph Theory in Electrical Engineering.
OEIS lists the number of simple closed loops in an $m\times n$ lattice. No general formula is given. For a general graph, computing the number of cycles is NP-hard.