Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 190

There are $6$ digits containing $1$ and $0$, only problem is that $0$'s can't be next to each other

Imagine this: There are $6$ digits which can contain either $1$ or $0$. For example: $100110$Only problem is that $0$'s can't be next to...

Asked on 11/29/2020 by Yağız Alp Ersoy

1 answer

How to show closure of ball of radius r/2 is a subset of ball with radius r

I'm trying to show that the neighborhood $overline{N_{r/2}(x)}$ (the bar is really small but that's the closure) is a subset of $N_{r}(x)$. I split it up so that...

Asked on 11/29/2020 by hi im epsilon

2 answer

Let $M$ be a non-empty set whose elements are sets. What are $F={A×{A} : A⊆M, A≠∅}$ and $⋃F$?

I think it's not so difficult but I struggling a little to figure it out, I want to make sure I'm correct, is $F$ a set of the form:...

Asked on 11/28/2020 by Andrea Burgio

1 answer

Determinant of a linear transform between two different vector spaces with the same dimension

Let $T:V to W$ be a linear transform where $V$ and $W$ have the same dimension. If $V = W$, the determinant of $T$ is independent of the choice of...

Asked on 11/28/2020 by lyrin

2 answer

Prove $ int_{mathbb{R}^d} frac{|e^{ilangle xi, y rangle} + e^{- ilangle xi, y rangle} - 2|^2 }{|y|^{d+2}}dy = c_d |xi|^2 $

My question is: Prove that there exists some constant $c_d$ such that for any $xi in mathbb{R}^d$:$$displaystyle int_{mathbb{R}^d} dfrac{|e^{ilangle xi, y rangle} + e^{- ilangle xi,...

Asked on 11/28/2020 by Nga NTQ

2 answer

How to make an algorithm to check if you have won on a Lotto?

I was wondering the following problem: Let us say that in a lotto you choose seven numbers from numbers $1$ to $39$. You want to have at least...

Asked on 11/28/2020 by Jaakko Seppälä

0 answer

For every set exists another stronger set

Is the following claim true?For every set exists another stronger set.By "if $A$ is stronger than $B$", we mean that $B$ is equinumerous to a subset...

Asked on 11/28/2020 by 45465

0 answer

Find a formula for the general term $a_n$ of the sequence, assuming that the pattern of the first few terms continues.

${4, -2, 4, -2, dots}$ $a_n = ?$ What is the formula for the general term $a_n$ of the sequence? I know that it starts in the...

Asked on 11/27/2020 by Andrew Lewis

1 answer

Examples of irreducible holomorphic function in more than one variable.

I'm studying analysis in several complex variables and in particular Weierstrass preparation theorem caught my interest (I'll include the theorem for clarity). In the examples I came up with I...

Asked on 11/27/2020 by Alain Ngalani

1 answer

Given $log_2(log_3x)=log_3(log_4y)=log_4(log_2z)$, find $x+y+z$.

It seems so messy. I have no idea where to start. Can anyone share any ideas? I found $x=3^{2^m}$, $y=4^{3^m}$ and $z=2^{4^m}$, and then I stopped again......

Asked on 11/27/2020 by Hongji Zhu

3 answer

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