Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 137

Absolute values of a closed set's elements

Let $A subset mathbb{R}^n$ be a closed set. Is the set ${|x| : x in A } subset mathbb{R} $closed?Based on my intuition, I strongly believe that...

Asked on 01/27/2021 by sicmath

2 answer

Show $log{a_n}rightarrowlog{a}$ as ${nrightarrowinfty}$

Let $(a_n)_{ninmathbb{N}}inmathbb{R}$ and assume $a_n>0$ and $a_nrightarrow a>0$ as $nrightarrowinfty$. The sequence $a_n$ clearly converges and I am inclined to think that if $a_n$...

Asked on 01/27/2021 by smejak

1 answer

Determine whether a set is Invariant, Positively invariant or negatively invariant

I have just started a dynamical systems course and I am a bit confused as to how to determine if something is positively or negatively invariant, or just invariant. I...

Asked on 01/27/2021 by Bernard.Mathews

1 answer

Upper bound for the total curvature of a shortest path in the boundary of a convex polyhedron in $mathbb{R}^3$.

Consider finitely many points in$mathbb{R}^3$. The boundary of the convex hull is $Sigma$. When$f_i$ is a face and $u_i$ is unit outnormal to ...

Asked on 01/27/2021 by HK Lee

1 answer

How do I calculate $mathcal{L}^{-1}left[frac{s}{s^{alpha}(s^{2}+1)}right]$?

I was solving some problems of fractional calculus, and needed this intermediate result. How do I calculate $mathcal{L}^{-1}left[frac{s}{s^{alpha}(s^{2}+1)}right]$?...

Asked on 01/27/2021 by Shabir ahmad

0 answer

Sum of all solvable ideals of a Lie algebra and radical

Let $mathfrak{g}$ be a finite dimensional Lie algebra. I know the fact that if the ideals $mathfrak{a}$,$mathfrak{b}$ are solvable, then so is $mathfrak{a+b}$. Now I want...

Asked on 01/26/2021

1 answer

Let $f: (mathbb{Z}_{24}, +) rightarrow (mathbb{Z}_{36}, +)$ be a group homomorphism. How many elements are there in the kernel of $f$?

Let $f: (mathbb{Z}_{24}, +) rightarrow (mathbb{Z}_{36}, +)$be a group homomorphism. If the image of $f$ contains exactly $2$ elements, how many elements are there in...

Asked on 01/26/2021 by user828643

2 answer

Ideal of a group

The ideal is defined in the ring theory;In ring theory, a branch of abstract algebra, an ideal of a ring is a special subset of its elementsIn...

Asked on 01/26/2021 by kelalaka

2 answer

It does not say that A and B is mutually inclusive, so p(AUB) is between 1/2 and 1, right?

It does not say that A and B is mutually inclusive, so p(AUB) is between 1/2 and 1, right?...

Asked on 01/26/2021 by T298.

2 answer

Monodromy element: Why that name?

Let $(H,R)$ be a quasitriangular Hopf algebra, i.e. $R$ is a choice of an universal $R$-matrix for the Hopf algebra H. (You can find a definition of...

Asked on 01/26/2021

0 answer

Ask a Question

Get help from others!

Mathematics : Recent Questions and Answers (Page 137)

Ask a Question