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1d
comment Evaluating $\lim_{n\to\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$
Indeed, as we know, anything, whether correct or completely utterly fundamentally false, "can be an accepted answer" on math.se. But I admire the statement that in the present case "some steps need explanations", a beautiful euphemism if ever there was one. (As an aside, I wonder why my previous comment, cogently explaining the consequences of your previous choice, has been deleted.)
1d
comment Is 1 + 1 + 1 … a finite number?
@AndreasBlass No offense intended (in case you wondered). The notion of a leap of illogic is rather fascinating...
1d
comment Line Integral: $\int_C{x^2}\:dy$
And now Sonia is integrator...
1d
comment Evaluating $\lim_{n\to\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$
Much better now.
2d
revised What conditional independence theorem is being used here
added 164 characters in body
2d
comment Conditional expectation of two random variables
The number of your questions to which you have accepted an answer is impressive. In a way, I feel less lonely...
2d
comment Normalized hit times of a simple RW converge in distribution to hit times of standard Brownian Motion
Indeed the MGF of the hitting time of the simple RW is direct using the Markov property after one step. (Rather than some bounty I would much prefer to see you applying these hints. Just my two cents.)
2d
comment Is 1 + 1 + 1 … a finite number?
You made a jump into the hyperspace at: "so x should be finite - saying x isn't finite seems to contradict the fact that ℕ is an infinite set".
2d
comment Line Integral: $\int_C{x^2}\:dy$
I have a funny feeling of comments disappearing and precise questions being avoided... @Sonia: Do you operate with two accounts?
2d
comment A non-standard form of circle in the complex plane
Square everything and pass to Cartesian coordinates (or do geometry as in the answer below).
2d
comment Line Integral: $\int_C{x^2}\:dy$
Sonia = Yagna Patel?
2d
comment Line Integral: $\int_C{x^2}\:dy$
Yeah I noticed... and I said "Apply", not "Copy".
2d
comment Help needed with the integral of an infinite series
Indeed the source is needed to make sense of this, if this is possible.
2d
comment Line Integral: $\int_C{x^2}\:dy$
Apply this.
2d
revised Evaluate $\iint dydx$ on the domain $0\leq r\leq1$, ${\pi}/{3}\leq\theta \leq{2\pi}/{3}$
edited title
2d
comment Confused about definition of absorption probability
"my prof didn't teach us that" Then asking them how you were supposed to approach the question seems mandatory (and I would be interested in their answer).
2d
comment Confused about definition of absorption probability
If it were $1/5$ then the other probability of absorption would be $1/5+2/5=3/5$ and their sum would be $1/5+3/5=4/5<1$... Instead, the most usual approach works: for every $x$, call $a_x$ the probability of absorption into $\{1,3\}$ starting from $x$, then $a_1=a_3=1$, $a_2=a_4=0$ (right?), and $a_0=a_0/5+a_1/5+a_2/5+0a_3+2a_4/5$, from which $a_0=1/4$ follows. This approach works for every Markov chain.
2d
revised Condition implying tightness of sequence of probability measures
edited title
2d
comment Condition implying tightness of sequence of probability measures
+1. $ $ $ $ $ $
2d
comment Question about number of spectators given the distribution in percent
@tired The title is useful, in its way...