pilko

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$Mathematics$ Discussion on question by G Meso: Wha…

Imported from a comment discussion on math.stackexchange.com/q...

pilko

Oct 4, 2024 10:04

Yes the fraction is supposed to be irreductible, i.e. $\frac pq$ with $\gcd(p,q)=1$ and $q$ odd. I detailled all that in my $(-1)^{2.16}$ post.

pilko

Oct 4, 2024 10:04

@GMeso $e$ is not a rational with odd denominator, that is why.

pilko

Oct 4, 2024 10:04

See this related post about the problem with negative numbers math.stackexchange.com/a/3356598/399263, completing the comment by CroCo just above.

$Mathematics$ CURED

For feedback/discussion/requests of Close/Undelete/Reopen/Edit...

pilko

Oct 2, 2024 15:38

Oh sorry, my intention wasn't to advertise my answer, I just copied the wrong link.

pilko

Oct 2, 2024 14:14

Yeah ok, but I just find this a bit harsh. There are many worse questions out there that do not get such treatment. Anyway I'm not here to reopen or something, I was just surprised.

pilko

Oct 2, 2024 13:56

I'm puzzled by some of the closures lately. Take this post for instance https://math.stackexchange.com/a/4978259/399263 what is wrong with it ?

In Latex, provides work, has plenty of answers, has tags, has good tittle, not marked as duplicate, no negative points... So why does this get closed as "missing context".

pilko

Jun 20, 2020 11:09

Damn, I woke up this morning just to see 5 downvotes, while I very very rarely have some. I think I'm not motivated any more for the day... Well I feel relieved to have said it!

pilko

Jan 22, 2019 15:03

@MartinSleziak thank you for your investigation. I just merged my answer to what appears to be the "main" post. In fact it was more interested by the how and what about community bot rather than the right to exists of this particular post.

pilko

Jan 22, 2019 09:37

I though community was removing only abandonned question, so I'm a bit surprised about this one.

pilko

Jan 22, 2019 09:36

math.stackexchange.com/questions/3082672/…

pilko

Jan 22, 2019 09:36

Why does such a question has been removed by community bot ?

pilko

Sep 27, 2017 13:32

@user170039 no, this user has more rep than me, so it'll be weird if I edit his post, even to add just a space.

pilko

Sep 27, 2017 13:20

Isn't possible to reverse a downvote I made too hastily ? a popup says it is locked.

$Mathematics$ Discussion on question by MathIgnoran…

Imported from a comment discussion on math.stackexchange.com/q...

pilko

Oct 21, 2022 14:53

As long as $x_1>0$ the sequence is positive because your RHS is. Also calculate $f(x)-\sqrt{B}=\dfrac{(x-\sqrt{B})^3}{D>0}$ so your sequence is always the same side of $\sqrt{B}$.

pilko

Oct 21, 2022 14:53

Just calculate $f(x)-x=\dfrac{x(B-x^2)}{D>0}$ since $x_1=1>0$ then all $x_n>0$ so this behaves as $(B-x^2)$. So increasing on the left of the limit and decreasing on the right.

$Mathematics$ Discussion on question by Nostradamus…

Imported from a comment discussion on math.stackexchange.com/q...

pilko

Jul 27, 2022 15:41

Provided that the rational root theorem does not use in its proof stuff like "surds are irrational" or something similar. This is always the risk (circular reasoning) when using a powerful theorem to prove something a priori weaker.

$Mathematics$ Mathematics

Associated with Math.SE; for both general discussion & math qu...

pilko

Dec 7, 2021 20:22

My user homepage layout just suddenly changed. Is it an issue on my side, or do you also have it ?

pilko

Jul 20, 2021 20:17

I feel relieved, lol.

pilko

Jul 20, 2021 20:14

Have I tampered with some color settings or does everyone see orange galore on Math.SE today ? (new question, OP name, and a few other stuff)...

pilko

Apr 30, 2018 12:23

@BalarkaSen thanks.

pilko

Apr 30, 2018 12:15

Hello, what is the english translation for "polynôme scindé sur K" i.e. the polynomial has all its roots in K. I cannot seem to find an equivalent for "scindé", can I say "split" ?

pilko

Oct 9, 2017 16:52

@ShaVuklia ok, thx, I'll try again later then.

pilko

Oct 9, 2017 16:50

hi, are there problems with SE.imgur at the moment? I can't embed pictures in my posts (and never had issues before).

pilko

Sep 27, 2017 00:42

ah, found it !

pilko

Sep 27, 2017 00:33

Hello all, is there a thematic entry on SE for "correct result obtained by applying wrong method" ? I searched a bit, but didn't found, yet I would be surprised that such a topic won't exist yet.

pilko

Jul 9, 2017 13:52

it's a popular subject though.

pilko

Jul 9, 2017 13:50

yep, I often fall back to $\exp$ in many cases stuff getting too small.

pilko

Jul 9, 2017 13:43

I have a doubt about an answer I made : math.stackexchange.com/questions/2352152/… , I find it very simple but got 0 vote while the other two keep being upvoted for hours. Did I wrote something that terrible ?

pilko

Jul 9, 2017 13:37

arf found the reason, http changed to https

pilko

Jul 9, 2017 13:35

Has something changed, LateX not working anymore in my chat ?

pilko

Apr 22, 2017 17:01

@Kirill yes, $(b_k-a_k)^2\ge 0$ allows to show $a_kb_k\to 0$ directly but you really need cauchy-schwarz for the serie.

pilko

Apr 22, 2017 16:51

ask your question, if someone is a graph theorist he will answer, maybe even when you are gone looking at the chat history.

pilko

Apr 22, 2017 16:48

uh. what is the context ?

pilko

Apr 22, 2017 16:47

sorry in absolute value.

pilko

Apr 22, 2017 16:47

you have $0\le ab\le (a^2+b^2)/2$ too.

pilko

Apr 22, 2017 16:45

in the sense of converging to zero I suppose

pilko

Mar 15, 2017 17:56

you wrote it first in full words, then semi used the acronym, I copied.

pilko

Mar 15, 2017 17:54

But if you use the EET somehow you'll have to use additions, substractions, we are biting our tail.

pilko

Mar 15, 2017 17:49

sorry for being heavy, but there is supposed to be some logic in the picture posted ? because I do not see it.

pilko

Mar 15, 2017 17:44

it has different thinness though

pilko

Mar 15, 2017 17:41

But how did you defined multiplication then ?

pilko

Mar 15, 2017 17:39

same kind of stuff for the product.

$Mathematics$ Discussion on question by Permutator:…

Imported from a comment discussion on math.stackexchange.com/q...

pilko

Mar 23, 2021 11:16

How do you specify alternating sequence. For instance is $z_1-z_2$ possible or should the minus sign arise only when there are $3$ terms as in $z_1+z_2-z_3$. In other words do we have $\pm z_1\mp z_2\pm z_3\mp\cdots$ or $z_1+z_2-z_3+z_4-z_5+\cdots$ or $z_1-z_2+z_3-z_4+z_5-\cdots$ ?

$Mathematics$ Discussion on question by jerryidk: c…

Imported from a comment discussion on math.stackexchange.com/q...

pilko

Sep 15, 2020 13:44

I think OP meant, Let $z\in\mathbb Q$ s.t. $z<2$ does there always exists $(x,y)\in\mathbb Q^2$ s.t. $x^2<2$, $y^2<2$ and $xy=z$.

$Mathematics$ Discussion on answer by jimjim: Calcu…

Imported from a comment discussion on math.stackexchange.com/q...

pilko

Jun 27, 2020 13:33

Apply your method to $(1+2+\cdots+n)/(1+3+\cdots+2n+1)$ since denominator is $S_{2n+1}-2S_n$ you will find limit $1/(1-2)=-1$ but the true limit is $1/2$. Your method works by accident.

pilko

Jun 27, 2020 13:33

It's worse it is a rearrangement of a divergent series. There is potential infinite numbers in these "$\cdots$'.

$Mathematics$ Math Mods' Office

For informal chat with the site moderators about moderation, s...

pilko

Jan 17, 2018 22:43

I'm not too much disturbed by the filled boxes, but I find numbers very pale and difficult to read in the right column.

pilko

Jan 17, 2018 22:38

@amWhy Ah you noticed too, I though I had changed my settings or something, but appears it is a global change. I agree with you it's not an happy choice of tone.

pilko

Mar 25, 2017 17:39

@quid thanks, that's what I've done, waiting for OP to manifest herself.

pilko

Mar 25, 2017 13:23

I'd like to delete an accepted answer, because it is too much complications to give a correct version, I'd prefer to let that to specialists of the subject. But the system won't let me. How do I proceed ?