Shootforthemoon

I was abusing your known availability on the main chat

But you are right about not dragging people

Maybe my English level is not adequate enough. I also bountied the question but it did not help

Thank you for making me aware

Sorry again @Ted, I am not quite acquainted with the good rules of public and private chats on this website.

Hello! I come back to ask if you have any idea on that: math.stackexchange.com/questions/4586173/…. Thank you in advance!

I see, thank you!

@Ted Is that because the reals are included in the hyperreals? Or are they completely different constructions anyway?

Hi! Is 0.(9) different from 1 in the hyperreals?

Do you have any hints regarding this?

By the way, this is how the sequence of the 7-rough numbers looks like: 1, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 77, 79, 83,...

For sure the differences between adjacent numbers repeat with a pattern: [6, 4, 2, 4, 2, 4, 6, 2] repeated. Does this mean I should take the average value plus a constant as for the numbers relatively prime to 2 and 3? Or maybe a quadratic expression? And how should additional terms be included (based on odd or even, or other parameters I am not aware of)?

Hi everyone! I am trying to derive a formula for the 7-rough numbers, which are numbers relatively prime to 2, 3 and 5, or having only prime factors >= 7. I'd like to follow a reasoning similar to the one here (math.stackexchange.com/a/928114/719906), but I cannot make any sense out of the 7-rough sequence.

I've got a new question on a completely different topic, written here math.stackexchange.com/questions/4586173/…. i wonder whether any of you has suggestions...

I remember reasoning with Thorgott and Rithaniel

Hey everyone! Been a long time since my last visit here. Some of you might remember me asking bout the implcit function theorem :)

Because the local existence and uniqueness theorem states that such system has a unique solution $y(t)$ defined in a neighborhood of $t_0$...

So should I find the maximal interval of existence between $-\sqrt2$ and $+\sqrt2$ or is such interval the whole domain of the solution?

The initial datum was $1=y(0)$

For example, in a problem I got $y(t)=\frac{-2}{t^2-2}$. In this case the solution is defined on the whole of R, except for $+\sqrt2$ and $-\sqrt2$, or we should consider only the maximal neighbourhood?

Hi everyone! Random question: what is the maximal interval of existence for a solution of a Cauchy problem with a separable ODE and an initial condition?

It seems to be a circle

I tried with exponentials, logarithms, properties of logarithms, but concluded nothing..

Hi, is it possible to prove that $t^{1/t}>y^{1/y}$ knowing that $1<t<y$ and without looking at the function $x^{1/x}$?

@MattF. Np, thanks the same for the attention you gave me.

@MattF. The doubt arose while surfing through several readings of multivariable calculus; it is not directly related to any specific excerpt, but has a variety of links also with other topics I'm facing and interested in.

It is related to a personal study in mathematics: they also may be questions that you come across when you are reading scholarly journals or advanced graduate level books in mathematics, states the Help center, and that is my motive.

Hi everyone! My question "Conversion of planar Cartesian coordinates into spherical coordinates" has been closed for being not "about research level mathematics within the scope defined in the help center". However, it is not for homework help, nor for discussion, not about MathOverflow itself.

@MartinSleziak I'll add the box after the messages then, thanks again!

Oh, I see

@MartinSleziak Thanks! Sure, I'll post them in the main chatroom.

Could you please consider reopening it?

It is related to a personal study in mathematics: they also may be questions that you come across when you are reading scholarly journals or advanced graduate level books in mathematics, states the Help center, and that is my motive.

Hi everyone! My question (mathoverflow.net/questions/351541/…) has been closed for being not "about research level mathematics within the scope defined in the help center". However, it is not for homework help, nor for discussion, not about MathOverflow itself.

The others who answered the question did explain nothing or were just attempting smthg for the bounty, as it appears from what they wrote :)

@John No matter at all! You helped me understand the concept and gave me an answer here in chat!

You really helped me a lot

Thanks very much for everything

@JohnRennie Aha, I see

@JohnRennie So when we separate charges we actually make work on the whole circuit, modifying the gradient pressure all over the path, right?

hi :)

Thanks in advance!

Does what I wrote hold? Could you correct my possible mistakes?

Could you please give me confirmation of that?

Nevertheless, I still have some doubts, and the (?)'s indicate the parts of the sentences which I'm not certain about

Here is the reasoning I did after our last conversation

Hi @John, sry if I opened a room for this.