Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 7

Possible Rule of thumb for sums of variances?

For questions dealing with insurance problems, I will often run into questions that involve finding aggregate variance. In a certain problem, I'm told that there are 50 policies, and various...

Asked on 01/05/2022 by PortMadeleineCrumpet

2 answer

Suppose a pair of random variable is independent from another pair, does it mean that each random variable is independent from the other?

Let $(X_1, Y_1)$, and $(X_2, Y_2)$ be two pairs of random variables, and they are assumed to be independent. Does it mean that:$X_1$ is independent from ...

Asked on 01/05/2022

2 answer

How do I verify this scaling relation?

I have a PDE as follows- $ifrac{partial u}{partial xi} + frac{1}{2}frac{partial^2u}{partial tau^2} + |u|^2u = 0$ My book says that if $u(xi,tau)$ is a solution of the PDE,...

Asked on 01/05/2022

0 answer

$arg(r_+) = 0$ and $arg(r_-) = pi$

$r_+$ = positive real number $r_-$ = negative real number I am confused $arg(r_+) = 0$ and $arg(r_-) = pi$ for $arg(r-) = pi$ :...

Asked on 01/05/2022

1 answer

Preservation of convergence in measure by absolutely continuous measures

In a paper on Risk theory that I am reading, it is stated that unlike convergence in $L_p$, $1leq p<infty$, converges in measure is preserved within a collection...

Asked on 01/03/2022

2 answer

Uniform convergence of $sum_{k=0}^{infty}(-1)^kfrac{[ln(1+x^2)]^k}{k!}$ on $mathbb{R}$.

I would like to prove that the series of functions$$sum_{k=0}^{infty}(-1)^kfrac{[ln(1+x^2)]^k}{k!}$$does not converge uniformly on $mathbb{R}$. I proved that it does converge totally (and thus...

Asked on 01/03/2022

1 answer

Example of absolutely continuous function $f$ with $sqrt{f}$ not absolutely continuous

I'm looking for an example of a function $f$ that is absolutely continuous, but $sqrt{f}$ is not absolutely continuous. I've been playing around with the Cantor-Lebesgue function, but...

Asked on 01/03/2022

2 answer

construct matrix group in GAP

I am having trouble construct the following group in GAP. It is a solvable primitive linear group acting on V where |V|=5^8. We know the Fitting subgroup is of order...

Asked on 01/03/2022 by YONG YANG

1 answer

Is a field extension of the form $mathbb C[X, Y]/mathfrak m$ isomorphic to $mathbb C(k)$ for some algebraic $k$?

$newcommand{C}{mathbb C}newcommand{m}{mathfrak m}$Let $m$ be a maximal ideal of $C[X, Y]$. We know that $C[X, Y]/m simeq K$ will be a field (ring quotient...

Asked on 01/03/2022

0 answer

Rolling Dice Game, Probability of Ending on an Even Roll

The game is described as follows. $A$ and $B$ take turns rolling a fair six sided die. Say $A$ rolls first. Then if $A$ rolls {1,2}...

Asked on 01/03/2022 by IanFromWashington

4 answer

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