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Dec
17
comment Compounding a binomial distribution where the number of observation is binomial?
In other words: for each of $n$ trials, you're counting a success if the $q$-coin and $p$-coin both ame up heads, which is just a fancy way of flipping a $$pq$-coin.
Dec
17
comment A Question on Probability - Hunter and Rabbit
Inclusion-exclusion again. Probability that at least $k$ survive = ${n \choose k} \cdot $ probability of a given $k$-tuple surviving $- {n \choose {k+1}} \cdot $ probability of a given $k+1$-tuple surviving $+ \ldots$.
Dec
17
answered How can we lead an equation of $x,y$ by eliminating $\theta,\phi$?
Dec
17
answered A Question on Probability - Hunter and Rabbit
Dec
17
answered Algebraic subfields of uncountable fields
Dec
17
answered Is $g(x^n)$ a convex function of $x$, if $g$ is a convex function of $x$ and $n>2$; given $x$ is nonnegative?
Dec
17
answered Proving measure of set is $0$
Dec
16
comment If $f$ has a zero of order $m$ at $z_{0}$ then there exists $g$ with a simple zero such that $g^{m}=f$
Still not right. If $g$ was defined in the same neighborhood $U$ (and $U$ was connected), then having $g^m = f$ in a neighborhood of $z_0$ would imply that $g^m = f$ on all of $U$.
Dec
16
comment If $f$ has a zero of order $m$ at $z_{0}$ then there exists $g$ with a simple zero such that $g^{m}=f$
The statement should be "in some neighborhood of $z_0$", not "in the same neighborhood". It must certainly be a neighborhood in which all zeros of $f$ have order divisible by $m$. Simply connected might also help.
Dec
16
comment Divisibility of binomial coefficient by prime power - Kummer's theorem
... while adding $m$ and $n-m$, not $n$ and $n-m$.
Dec
16
answered Is there a branch of mathematics that studies the factors of rational numbers?
Dec
16
comment For a prime $p$ find integers $n,m$ s.t $ p > n>m>0$ and $n^3 \equiv m^3 \pmod p$
$12/8 \equiv 11 \mod 19$, and $11^3 \equiv 1 \mod 19$.
Dec
16
revised For a prime $p$ find integers $n,m$ s.t $ p > n>m>0$ and $n^3 \equiv m^3 \pmod p$
added 99 characters in body
Dec
16
answered For a prime $p$ find integers $n,m$ s.t $ p > n>m>0$ and $n^3 \equiv m^3 \pmod p$
Dec
16
comment Prove that there are three real numbers a and b and c so that: $(\forall x\ne -1/2)\frac{6x^2+7x-3}{2x+1}=ax+b+\frac{c}{2x+1}$
en.wikipedia.org/wiki/Polynomial_long_division
Dec
16
comment Some doubts on the Trace Theorem
By stating the question in this way, you're pretty much limiting the possible responders to those who have that particular book handy. In fact you didn't even bother to include the name of the book, so some might not even realize they have the book you mean. If you took the trouble to state the actual theorem, you'd be more likely to get an answer.
Dec
15
revised Simple examples of $3 \times 3$ rotation matrices
added 492 characters in body
Dec
15
answered Calculate how many ways to get change of 78
Dec
15
answered Simple examples of $3 \times 3$ rotation matrices
Dec
15
answered How can I find the maximal interval of existance for following equation?