Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 186

Expansion of the Frobenius norm

this might be very elementary question. I was confused by looking at some different sources when expanding the Frobenius norm into trace. Would these two expressions below always be the...

Asked on 12/03/2020 by wuannnn

1 answer

On the definition of an algebra

An algebra is given by a triple $(A,mu,nu)$ where $A$ is a vector field over $k$, andbegin{gather*} mu colon A otimes A rightarrow...

Asked on 12/03/2020 by HaKuNa MaTaTa

1 answer

Distribution of a random variable given on the set of all natural number if ...

What is the distribution of a random variable $xi$ given on the set of all natural numbers, if $$mathbb P(xi > a + b mid xi > a)...

Asked on 12/03/2020 by dabdya

0 answer

Doubtful solution to an exercise on faithful flatness in Matsumura's Commutative Algebra

The exercise on page 30. It says that:Let $A, B$ be integral domain having the same field of fractions, $B supseteq A$. Prove that $B$ is faithfully flat over $A$...

Asked on 12/03/2020 by An Hoa

1 answer

If $f(x)=frac{1-x}{1+x}$, then how do I explain graphically why $f(f(x))=x$?

Let $f(x)=dfrac{1-x}{1+x}$. Then $f(f(x))=x$. The domain of $f(f(x))$ is $mathbb{R}$ ${-1}$ How do I explain graphically why the formula for $f(f(x))$ is the way...

Asked on 12/03/2020 by stupidgal123

4 answer

A: Prisoner A is selected for release. B: The guard informs Prisoner A that Prisoner B is going to be released. Are A and B independent?

Two out of three prisoners are chosen at random to be released. Prisoner A asks the guard to investigate the selected names and to tell him one of them that...

Asked on 12/03/2020 by T536373

1 answer

Simplify the following sum $sum_{i=1}^nfrac1{n-(i-1)}$

Extremely simple question, but one I am struggling with (I haven't taken a math class for a couple years so this may be very easy).I just need to simplify...

Asked on 12/03/2020 by Wild

1 answer

What is a polynomial approximation?

Is it possible for a dummy like me who is really bad at math to explain what a polynomial approximation is? Is it possible to give a simple, but illustrative...

Asked on 12/02/2020 by brilliant

3 answer

Finding the smallest $k$ so that specific items are spaced exactly three apart

An inventory consists of an ordered list of $k$ items that are marked as "available" and $5$ items that are marked as "unavailable". What is the smallest value...

Asked on 12/02/2020 by TRONIIX

2 answer

Homotopic function question - very basic

I've only just “discovered” homotopic functions, so apologies if I'm asking nonsense. Shifrin in Multivariable Mathematics (p405) gives an example of a homotopic function as$$Hleft(mathbf{x},tright)=left(1-tright)mathbf{x},$$ where $f:D^{n}rightarrow D^{n}$,...

Asked on 12/02/2020 by Peter4075

2 answer

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