Alex D

Would anyone be interested in private lessons, to help me revise for the exam?

Hi, I'm taking my electromagnetism final next week

Thank you

Thank you

If so, would you mind sharing on what chapter it is?

Could you check whether he covers infinite series, please?

Hey all, I was wondering whether anyone took Apostol's calculus

Well yes, sorry. The question is: Consider the vector space $V$ the set of all real-valued continuous functions, and subspaces $U$, the set of all exponential functions, their sums and scalar multiples, and $W$, the set of all real-valued polynomials of any degree. Prove whether $U+W$ is a direct sum.

It's from linear algebra

It was an exam question but I thought it was really simple, so I'm having second thoughts maybe there's more to it

I was asked the following: Let W be the set of all real valued polynomials of any degree and U be the set of all exponential functions. I'm asked whether U+W is a direct sum. I said yes because their intersection is empty. Is this correct reasoning?

Hello all. I have a quick yes or no question I was hoping someone could answer for me

Sorry that makes sense

Ohhhhh D is the set and the implication is just written in parenthesis, right?

"There exists $e>0$ such that $\forall u,v\in D (|u-v|<e\implies |f(u)-f(v)|<1).$"

Also, what does the D() mean on this line?

In particular, is the convergent subsequence a consequence of the bolzano weierstrass theorem?

Could someone explain this proof here? math.stackexchange.com/questions/1540739/…

Hi all

@Vrouvrou You mean as an exponential sequence?

My teacher couldn't give us any further hints as we tried solving it in class

I was working on a problem from my intro to analysis class. I need to find the limit of $x^x$ as $x$ approaches 0. From calculus I know its 1 using l'hopital's rule, but we havent covered that in this course. The hint is that I choose a sequence converging to zero such that the limit of the sequence $(f(x))$ is easy to determine

Hi all it's my first time in the chat and I was wondering if I could ask a question in here instead

Animals are just not considered moral agents

Seas mamoónnnnnn @ArtEze

Let $\varnothing\not=B\subset(\mathbb N\cup A)$. \begin{align}B&=B\cap(\mathbb N\cup A)\\ &=(B\cap A)\cup (\mathbb N\cap B).\end{align} Let $a$ be the least element of the finite set $B\cap A$, if it exists. Let $m$ be the least element of $B\cap\mathbb N$, if it exists. By ordering principle of $\mathbb N$, then the min of the two element set $\{a,m\}$ is the least element of B.

So this is what your saying:

No, I really do; however, I have had a lot of homework in my other classes

@fredgoodman Okay, what do you think now?

@fredgoodman It'll be just a minute now, please. I'm typing it up.

@fredgoodman I think I understand. Does my update fix this assumption?

@fredgoodman The part in yellow doesn’t prove that?