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Averaging quarterly level data to the annual level

From the Quarterly Workforce Indicators, I have obtained a measure of data measured at the quarterly level for earnings and employment. so in each quarter, they take the total earnings,...

1

Cross Validated Asked on 2 years ago

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...

2

Mathematics Asked on 2 years ago

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...

1

Mathematics Asked on 2 years ago

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...

2

Mathematics Asked on 2 years ago

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...

1

Mathematics Asked by YONG YANG on 2 years ago

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...

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Mathematics Asked on 2 years ago

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}...

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Mathematics Asked by IanFromWashington on 2 years ago

What is the problem with this method while integrating $(e^x-(2x+3)^4)^3$?

What is the problem with this method while integrating $(e^x-(2x+3)^4)^3$? I already know what is its integration. I collected the answers from Quora (black ones) and WolframAlpha website (the...

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Mathematics Asked on 2 years ago

Find all functions $f$ that satisfy the following

Let $Omega $ be an open, bounded, and connected subset of $mathbb{C}$ Find all functions $f:bar{Omega }rightarrow mathbb{C}$ that satisfy the following conditions simultaneously :$f$ is...

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Mathematics Asked by Pedro Alvarès on 2 years ago

The finite-dimensional distributions for a Wiener process are given by this formula?

A stochastic process $X = {X_t}$ on is Wiener Process if the following properties hold$X_0 = 0$$X$ has independent increments: for any $ninmathbb{N}$ and any ...

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Mathematics Asked by Andrew Shedlock on 2 years ago

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