Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 113

Example of $A subseteq k[x,y]$, $dim(A)=2$, $J$ non-maximal ideal of $k[x,y]$ and $J cap A$ a maximal ideal of $A$

After receiving interesting answers to this question (see also this question), I wish to concentrate on the following special case:Let $A subseteq B=k[x,y]$, $k$ is...

Asked on 02/22/2021 by user237522

0 answer

Proving that the integral closure of $R$ in $S$ is a subring of $S.$

Let $R subset S$ be commutative rings. Prove that the integral closure of $R$ in $S$ is a subring of $S.$ Note that the integral closure of...

Asked on 02/22/2021

2 answer

Right versus left derivative by increasing one-sided derivatives

Condider a map $f:Dtomathbb{R}$, $D$ open interval.Let be $y,zin D$, $y<z$. Suppose that $f$ has everywhere in $D$ both left and right derivative...

Asked on 02/22/2021 by Wyatt

2 answer

Properties of a certain matrix in a certain field

Let $mathbb{F}$ be a field on two elements, $0$ and $1$ and $G = (V,E)$ be a graph. Let $S$ be a $|V|times |E|$...

Asked on 02/22/2021

1 answer

How do I estimate $int_{2}^{infty} frac{|log log t|}{t, (log t)^2} , dt$

Question: How do I estimate the following integral? $$int_{2}^{infty} frac{|log log t|}{t, (log t)^2} , dt$$ Attempt: Setting $u=log t$, we get $$int_{2}^{infty} frac{|log log t|}{t, (log...

Asked on 02/22/2021 by user330477

2 answer

Getting the kinematic equation $v^2=v_0^2+2a(x−x_0)$

As I've searched through the internet, looking for explanation. I found an answer with transformation of this formula: $$x = x_0 + v_0t + frac{1}{2}at^2 ⟹ x =...

Asked on 02/22/2021 by slifjo

4 answer

Suppose $P(X > x) le 100 (e^{-ax}+e^{-bx})$. Is there a clever way to bound $mathbb E[X]$?

Let $X$ be a nonnegative random variable. We always have $mathbb E[X] le int_0^infty P(X>x)dx$. Suppose we also know $P(X>x)le 100e^{-ax}$. We can integrate naively to see...

Asked on 02/22/2021

1 answer

Locus of a complex number $z$ when locus of $z^2$ is known

If $|z^2 -1| = |z|^2 +1$ then $z$ lies on a: a) circle. b) parabola. c) ellipse. d) straight line.My...

Asked on 02/21/2021 by Arshiya

5 answer

Finding all possible Jordan Normal Forms

I need help with finding all Jordan Normal Forms with following infos: $F$ is an endomorphism of $V$, $:dim(V) = 8$, $:operatorname{rank}(F) = 5$, ...

Asked on 02/21/2021 by Michael Maier

1 answer

Finding $lim_{n to infty} int_{2}^{infty} frac{nsinleft(frac{x-2}{n}right)}{(x-2)+(1+(x-2)^2)} dx$

I have to calculate the following limits, using a theorem but I don't really know what theorem to use (it is for the subject of measurement and integration, for the...

Asked on 02/21/2021 by User160

1 answer

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