Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 142

On the Fourier transform of $frac{1}{|x|_2^alpha}1_{|x|_infty>1}$

I would like to understand the asymptotic behaviour of the Fourier transform of the following distribution $$mathcal{S}niphilongmapsto int_{mathbb{R}^d} frac{1}{|x|_2^alpha}1_{[|x|_inftyge1]} phi(x)dx$$for $0<alpha < d$. I suppose...

Asked on 01/23/2021 by Kernel

1 answer

Solving inequality including logarithm

I am trying to solve an inequality which includes a logarithm. This is to show for what input one algorithms is faster than another. I do not know how to...

Asked on 01/23/2021 by Damian Kowalski

1 answer

What's the difference between a Singleton set and its member?

Say i have the set { Barack Obama }. What is the relationship between the individual Barack Obama and its set { Barack Obama }? Does this mean that the...

Asked on 01/23/2021 by Richard Bamford

2 answer

Let $f:ℝ→ℕ$ be onto. Does there exist a $g:ℕ→ℝ$ such that $f(g(b))=b$ for all $b∈ℕ$?

I'm reading Classic Set Theory for Guided Independent Study, and they introduced ZF set theory (no axiom of choice still) and the construction of integers, real, rational and natural numbers....

Asked on 01/23/2021

2 answer

$dy/dt$ = 0.8y with y(0) = -0.8 , why does the result of this question end up being so different from the formula?

So I'm given a dynamic system $dy/dt$ = 0.8t with y$_0$ = -0.8. So the Theorem in the book I'm studying says $dx/dt$ = kxWith initial...

Asked on 01/23/2021 by GORO1

1 answer

Identities involving the boundary, closure and interior of a set.

Let $(M,tau )$ be some topological space, and $A$ be a set in $M$.I will denote $A^{circ}$ as the interior of $A$, $overline{A}$...

Asked on 01/23/2021 by paradox

0 answer

Does $prod_k (x - r_k)^{m_k} = prod_k (1 - frac{x}{r_k})^{m_k}$?

I am trying to understand the last line in the excerpt below from my course notes. The discussion concerns an algorithm for turning a (compact, i.e. finite) expression for a...

Asked on 01/23/2021 by Novice

1 answer

$pi_2(T vee mathbb{C}P^2)$ and action of $pi_1$ on $pi_2$

Let $X= T vee mathbb{C}P^2,$ where $ T$ denotes the 2-dimensional torus. The task is to compute $pi_2(X)$ and describe the action of $pi_1(X)$ on ...

Asked on 01/23/2021 by urbanog

1 answer

Solving $a=x^p - (x-b)^p$ for arbitrary $a,b$, and $p$ being natural/rational?

I encountered the following equation:$a=x^p - (x-b)^p$ that i want to solve for $x$ and for a general choice of parameters $a,b,p$.I am wondering if...

Asked on 01/23/2021 by Kristof Spenko

0 answer

Sylow's second theorem explanation

I am reading the book Contemporary Abstract Algebra by Gallian and I can't understand some specific part of the proof of Sylow's second theorem that has been given here.Theorem :...

Asked on 01/23/2021 by Pritam

1 answer

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