Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 33

What does the 'expected value' E represent in mean integrated squared error (MISE)

I am trying to use mean integrated squared error (MISE) to determine the optimal parameters for constructing a histogram. For now I construct histograms from samples of data and then...

Asked on 12/18/2021 by Metioche

0 answer

Schwarz theorem on manifolds

Suppose $M$ is a manifold of class $C^2$ and I have a function $f:Mtimes M to M$ which lies in $C^2$. I can define a partial...

Asked on 12/18/2021 by laura_b

0 answer

Find all the ideals and prime ideals of $F[x]times F[x]$ where $F$ is algebraically closed.

Find all the ideals and prime ideals of $F[x]times F[x]$ where $F$ is algebraically closed. So I am not sure what answer is expected in this question. ...

Asked on 12/18/2021

1 answer

Under what conditions is the product of a PSD matrix and another matrix itself PSD?

Suppose I have a symmetric PSD matrix $P$ and another square matrix $A$. What conditions on $A$ are necessary to ensure that $PA$ is symmetric PSD?...

Asked on 12/18/2021

1 answer

Kernels of commuting linear operators on infinite dimensional vector space

If $S$ and $T$ are commuting operators on an infinite dimensional vector space $V$, it is in general true that $$ker S + ker T subseteq...

Asked on 12/18/2021 by Max K

1 answer

Extrema of function with lagrange multipliers

Let $$f(x_1, ..., x_n) = x_1 + frac{x_2}{x_1} + frac{x_3}{x_2} + ...+frac{x_n}{x_{n-1}} + frac{1}{x_n}$$where $x_1, ..., x_n>0$. I thought that maybe I should cast what above as...

Asked on 12/18/2021 by Naah

3 answer

Show that $Eleft[|V|^2| (V+U,U) in C times C right] < Eleft[|V|^2 right]=3$ where $V$ and $U$ are standard normal

Let $Cin mathbb{R}^3$ be a cone. Specifically, assume that $C$ is given bybegin{align}C={(x_1,x_2,x_3): x_1 le x_2 le x_3 }.end{align} I am interested...

Asked on 12/18/2021

1 answer

Is there a reliable reference that shows that Bayes theorem holds for measures, densities, masses, or combinations of these?

I am looking for a book or a reliable reference that I can site in a research paper or thesis that shows that Bayes' theorem/rule holds for both probability measures...

Asked on 12/18/2021 by nbro

2 answer

p point: an origin of the acronym

I would like to know what does $P$-point stand for. What it is an abbreviation of in the context of forcing ? ...

Asked on 12/18/2021 by user122424

0 answer

Show that the residue is $c_{-1}=-frac{q''(z_0)}{(q'(z_0))^3}$.

Suppose that$f(z) = frac{1}{(q(z))^2}$ where the function $q$ is analytic at $z_0$, $q(z_0) = 0$, and $q'(z_0)neq 0$. Show the residue is $c_{-1}=-frac{q''(z_0)}{(q'(z_0))^3}$....

Asked on 12/18/2021

1 answer

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