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Nov
2
answered Convergence in Measure Implies Integrable
Nov
2
comment A is measurable if and only if m*(Z)=m*(Z intersection A)+m*(Z\A)
Ok, so approximate $Z$ with a set $B$, and then show the equalities hold, possibly with some controllable error depending only on $\epsilon$. It might help to prove $\leq$ and $\geq$ to imply equality.
Nov
2
comment A is measurable if and only if m*(Z)=m*(Z intersection A)+m*(Z\A)
What is your working definition of "measurable?" Is it that the outer measure equals the inner measure?
Nov
2
comment For a real-valued random variable it holds: $ E(|X|)<\infty\Leftrightarrow \sum_{n\in\mathbb{N}}P(|X|>n)<\infty$
$P(|X|>t)$ is a monotonically decreasing function of $t$. By a series comparison test the integral is bounded above by the sum over $t\in\mathbb{N}$. en.wikipedia.org/wiki/Integral_test_for_convergence
Nov
2
comment Is zero a prime number?
I sincerely hope you mean any number $but$ itself.
Oct
31
answered For a real-valued random variable it holds: $ E(|X|)<\infty\Leftrightarrow \sum_{n\in\mathbb{N}}P(|X|>n)<\infty$
Oct
31
comment How come every culture on the Planet has a different calendar, yet follow the same system for a week?
See: en.wikipedia.org/wiki/Seven-day_week It looks like mainly a religious significance. But, the Han dynasty of China had a 5 day week.
Oct
30
comment Find points in a reference unit square
There is an infinite number of ways of doing this. Are you trying to preserve a particular property here? For example you could require that the edges of your quadrilateral map to the edges of the square.
Oct
30
comment Show that the permutation [n, n-1,…, 2,1] has n(n-1) inversions
@EvanC: It's probably a typo, unless they are counting ordered inversions, with $(i,j)$ and $(j,i)$ being "different."
Oct
30
answered Show that the permutation [n, n-1,…, 2,1] has n(n-1) inversions
Oct
30
answered Can I use Dijkstra's Algorith for finding ALL shortest paths?
Oct
30
comment Asymptotics of inverse Laplace transform of a function with an essential singularity?
You might find this useful: emis.de/journals/BMMSS/pdf/v25n1/v25n1p6.pdf
Oct
30
comment Matrix challenge
How do you prove a definition???
Oct
30
comment Matrix challenge
But what is $O'$ for example? How are we to prove this if there's no definition of anything?
Oct
30
comment Matrix challenge
I don't see a question here. Are you trying to solve for $c_i$?
Oct
29
comment Cauchy Identity for a specialized product of Schur polynomials
@Siddharth Venkatesh: I've added an edit assuming the sum is over only those partitions where $\nu$ is a valid partition. Thanks for the clarification.
Oct
29
revised Cauchy Identity for a specialized product of Schur polynomials
added 98 characters in body
Oct
28
revised Cauchy Identity for a specialized product of Schur polynomials
added 83 characters in body
Oct
28
comment Why exactly is Bourbaki difficult?
Then difficult = "takes a long time to learn" sounds more reasonable.
Oct
28
asked Cauchy Identity for a specialized product of Schur polynomials