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vzn
3:00 PM
@BalarkaSen part of english culture (not just american!) is the "melting pot" :P
 
@BalarkaSen You literally know so much about English literature / Writers , but still don't appreciate it. I mean I wouldn't like it if I was English.
 
Joseph Conrad blatantly wasn't English. He was Polish.
Born Józef Teodor Konrad Korzeniowski
 
Yeah, he didn't come to Britain until his thirties or something IIRC
It's not moving the goalpost to call non-examples as non-examples
 
Karl Marx - he was English. I mean he's buried here!
 
vzn
lol @#%& trollish hairsplitting. wikipedia refers to him as polish-british in 1st few lines case closed :P en.wikipedia.org/wiki/Joseph_Conrad
 
3:02 PM
@BalarkaSen How do you know all of this OMG that's incredible.
@JohnRennie The economist ? Oh the father of economy
 
@vzn You're up for a debate you haven't researched clearly about. The birthplace, descent and early life of a writer is a heavy influence on the author's writing.
 
Oh and what about Jane Austen ?
 
You're up for a debate you haven't researched clearly about - that would be a first
Jane Austen!! - :: John faints away in shock ::
 
@JohnRennie lol what happened ?
 
@Tanuj Oh I mean I appreciate it. I was making a slightly controversial statement about the proportion of English language literature written by British people (I'm open to statistical refutations of it, though).
 
3:05 PM
George Eliot
The other miserable bastard I can't remember ...
 
@vzn If you think it's waste of your time you should not parttake in it :P You're wasting nobody but your own time
 
Google Google
aha, Thomas Hardy
 
@BalarkaSen cool , cool. I'll be taking book recommendations from you after May for sure.
John Keats ?
 
Not a novellist
 
@JohnRennie Okay , only novelists ?
 
vzn
3:07 PM
@Tanuj yes, surprise! poetry is literature :)
 
Well I was gonna William Wordsworth as well
 
I think it's novellists - @BalarkaSen do poets count?
 
The British had a thing for Romanticist poetry, I'll give you that. Keats, Shelley, Byron - yes, Wordsworth. I'd add William Blake in the mix, because he's one of the better of the post-Romantic generation
@JohnRennie I think there's no reason for it to not count
 
@Tanuj I wandered lonely as a soliton
 
vzn
lol re moving the goalposts let the record show the challenge was stated wrt literature
36 mins ago, by Balarka Sen
@CaptainBohemian It was a half-joke. The more serious half is something along the lines of, Britain contributed very little to the English language literature in the past two centuries.
 
3:08 PM
OK poets count
 
@JohnRennie HAH
Amazing
 
There are shedloads of influential (but tedious) English poets
 
Oh and Wayne Rooney !
 
By the vzn definition T. S. Eliot was English!
 
iirc he has an autobiography :p
 
3:10 PM
Let's agree to say that vzn's definition is useless garbage
 
vzn
sigh, seems you guys just like to argue sometimes, not nec wrt logic/ fairness etc :( ps stated no "defn"... again words in my mouth, 2 vs 1 etc
 
That would also be a first :-)
 
You know, it's not easy to determine what Eliot's influences was
 
Alright guys , I'll take your leave now , really so much of a learning experience , I got to know about so many great authors , I'd even forgotten some.
 
His family was one of the bigshot families of that time
 
3:11 PM
@BalarkaSen near fatal doses of psychedelic drugs?
 
The Eliot family
They established the MIT I think
@JohnRennie lol
 
vzn
@Tanuj thx for your nice contributions, some of my faves, nice to be reminded :)
 
@vzn Yea , same here ! Really enjoyed this ! Looking forward to similar discussions in future :)
 
vzn
lol "discussions" yeah! :) :P
 
Oh, er, I guess D. H. Lawrence is also a fair name
 
3:13 PM
@vzn I know :p
 
@BalarkaSen Women in love - nudge, nudge, wink, wink
 
lool
 
vzn
@Tanuj always amazes me how some foreigners know the culture better than insiders, its a bit shameful (on the insiders)... :| good ol isolationism & all that etc
 
Who wrote the one about the gamekeeper?
 
@vzn I guess its just about personal interest and nothing more than that.
@vzn Are you English too ?
 
vzn
3:15 PM
@Tanuj ok nevertheless you are honestly better informed than many english students.
@Tanuj US/ american. a lot of british literature is studied in our english classes.
 
Aha, Lady Chatterley's Lover. That was Lawrence too! One track mind that lad.
 
@vzn nice :)
 
@JohnRennie Oh god
 
I bet you're sorry you started this now :-)
 
vzn
@Tanuj are you at the university? what are you studying?
 
3:16 PM
@vzn Aha , I didn't know that. How old are you ?
 
vzn
@Tanuj uh, let me just say ~2x the university dudes in here. o_O
 
@vzn Not yet in college , hopefully will be getting in one in about 3 months time
 
@JohnRennie Now that made me wonder who wrote Fanny Hill.
 
vzn
@Tanuj cool, glad to hear it (coincidentally similar to BaSe), think youll make great student what do you want to study?
 
John Cleland. British, apparently
Influential? Up to the reader!
 
3:18 PM
Google, Google - 1748. Doesn't really count.
 
@vzn What is BaSe ? And well , I'm not sure but computer science.
 
Yea, well, I did say two centuries. Fair.
 
@vzn Ah , I see.
lol :p
 
vzn
lol :P
@Tanuj good choice, way2go, try out Computer Science sometime :)
 
@vzn Yup , I will once I get to study it .
 
vzn
3:20 PM
@Tanuj the great thing about Computer Science is you can study it anytime these days & it helps to do that too :)
 
@vzn do what ?
 
vzn
@Tanuj lol study CS. the internet awaits. etc
 
ok. Well I would love to , after I'm finished off with my exams and stuff
 
vzn
@Tanuj yeah study hard good luck nice chatting bye
 
@vzn Thanks dude , have a good one . Bye
 
vzn
3:23 PM
sure yw :)
 
It's probably hard to determine the various interlinks between actual literary influences. I'd call Samuel Beckett (Irishman) one of the best playwriters of the century - but it's really hard to say that without giving credit to the absurdist theater that originated as Elizabethan absurdism.
So, prejudices aside, it's probably not as black-and-white.
 
Speaking of cultural landmarks, it appears Netflix has just bought the rights to all the Monty Python films and TV series.
 
I mean, shit, modern surrealism has fed off Lewis Carroll
Yeah vzn linked that earlier
 
@JohnRennie NetFlix?
 
@BalarkaSen ah, one of the downsides of having people on ignore is you miss the occasional useful thing they post :-)
6
 
3:30 PM
oooooooooooo
 
@JohnRennie Hahaha
 
@0celo7 huh?
 
@JohnRennie the F is not capitalized
 
Aha, OK.
 
@0celo7 You meant, "the f is not capitalized"
 
3:32 PM
whatever
 
git rikt
 
fine, smartass, do this proof for me
 
@BalarkaSen the pedantry chat room
3
 
vzn
huh? lol
2 days ago, by John Rennie
I love the way this chat room discusses real issues (not necessarily just physics) in a useful and informative way. With all the silliness and random flags we've been having recently it's easy to lose track of just how awesome this room can be.
 
@vzn please roast john
 
vzn
3:37 PM
@BalarkaSen btw re that theres this thing called "black + white thinking"... o_O
@0celo7 lol easy target but too risky, he trashed a lot of msgs lately, lucky not mine o_O
 
I would support you
@JohnRennie is my arch nemesis
3
yes, I agree he is a fundamentalist
 
vzn
@0celo7 lol no kidding really why is that
 
exactly
 
@0celo7 rubbish, I am the kindest and most sensitive person I know
5
 
vzn
@0celo7 ahem ok since you point this out, there was some other stuff he said that deserves to be "addressed"...
 
3:40 PM
(though admittedly I might be biased)
 
@vzn oh?
 
vzn
@0celo7 reviewing recent comments he seems to draw the line between physics + philosophy in joking/ yet a bit )( odd ways at times. this relates to the (longtime) JD stigmatizing (a topic youve expressed interest in, though probably mostly facetiously).
@BalarkaSen f that :P
 
3:56 PM
Lunch - stuffed veg, very healthy!
 
vzn
Mar 9 at 16:29, by ACuriousMind
This is a chat, not a diary.
 
anyone familiar with the programming langauge Julia?
 
@vzn oooooooooooooooooooooooooooooooooo
@JohnRennie you got destroyed fucking lmao
@BalarkaSen come see this
 
@0celo7 I did? Oh well :-)
 
@JohnRennie Yes.
Mar 9 at 16:29, by ACuriousMind
This is a chat, not a diary.
No food pictures please
 
4:11 PM
@0celo7 was that aimed at me?
 
vzn
lol, sometimes likes/ uses "diary" "feature" of chat, sometimes not :P
 
...yeah, me too
though there's always an option to make a new room for such things, and that's what I do if it's something truly obscure (or if it's likely to be tedious)
for instance, I wanted to do some somewhat tedious manipulations of an integral representation the other day, so I created a new room for that
 
vzn
@Semiclassical think new rooms are one of best chat room features, yet seems ppl rarely create new rooms or participate in them, its some strange SE psychology tendency
 
yeah, we tend to rely on the status quo of the room that are already there
 
@JohnRennie vzn redirected it
and you got destroyed
 
vzn
4:20 PM
@0celo7 lol impossible to "destroy" room owners/ co-mods they have (lethal) superpowers o_O
 
Oh well
 
chat jiu jitsu
 
@Semiclassical do you randomly know a non-mathematica way of proving $x\cosh x\le 1+x$ for $x\ge 0$
 
hm
$$x \cosh x-x=\frac{x}{2}(e^{x}-2+e^{-x})=\frac{x}{2}(e^{x/2}-e^{-x/2})^2 =2x\sinh^2\frac{x}{2}$$
But that doesn't seem like it'd imply an upper bound of 1.
 
$x\cosh x$
 
4:25 PM
thanks
 
maybe that has a maximum at 1
 
but I don't think this bound is true. cosh(x) grows like e^x/2 for large x
and that alone is enough to ensure that 1+x can't bound it
 
Taylor expand cosh x?
 
oh, coth not cosh!
big difference
 
4:27 PM
oh
typo lol
 
coth tends to 1 for large x
 
yes, but from above
 
right.
 
so this isn't immediately clear
 
oh, sure. but it makes it at least plausible
anyways, now the manipulations to be made are a bit different though still easy
first: $\coth$
oh good, latex knows it
$$x\coth x-x = x\left[\frac{e^{x}+e^{-x}}{e^x-e^{-x}}-1\right]= x\left[\frac{2e^{-x}}{e^x-e^{-x}}\right] $$
 
4:30 PM
I got $2e^{-x}$ in the numerator
 
yeah, you're right
so that's $x e^{-x} \csch x$
oh ffs latex, you know coth but not csch?
 
@0celo7 Earman says that the Bruhat theorem isn't enough to guarantee that spacetime from initial conditions is deterministic
And that the spacetime being maximal isn't the same as being determinism maximal
Does that sound like a thing u would know
 
no
but the real issue is that Bruhat--Geroch only works for a GH spacetime
 
Well not too surprising
But he claims that this may not be enough
i think
 
4:33 PM
and that's the whole reason behind the "hole-free" issue
 
@Semiclassical So is it obvious that $xe^{-x}csch(x)$ is bounded above by 1 lol
 
yeah, that's the question ain't it
or again equivalently $\frac{2}{e^{2x}-1}\leq \frac{1}{x}$ for positive $x$
 
Ah, easy
 
yeah, I see it now
 
It's decreasing
 
4:35 PM
Really why do we mourn for Hawking when Geroch is still around
Geroch is pretty great
 
And 1 at 0
 
if you rearrange what I just wrote, that's just $e^{2x}\geq 1+2x$ for $x\geq 0$
 
$e^x \geq 1 + x$ is one of the most useful inequalities of all time
 
which is just the usual convexity bound
 
For positive $x$
 
4:36 PM
ya really
 
Apparently there's another book of weird GR issues where Geroch wrote an article on the topic
"Foundations of spacetime theories"
It has Earman, Geroch and Malament
That sounds great
 
actually, isn't that valid for all real $x$? It's not useful for $x<0$ here because we divide by $x$ which can be negative
 
Yeah I was trying to use that one but it was going the wrong way around
 
no, I mean $e^{x}\geq 1+x$
 
oh, yes, of course
 
4:38 PM
Yeah I guess so
 
but you end up rearranging that and divide by $x$ in the process
 
it's a tagent line of a convex graph
 
Right
 
which would reverse the inequality for $x<0$
so I think this completely addresses it
So: $e^{2x}-1\geq 2x$ for all $x$
 
@0celo7 what is this, supa hot fire?
 
4:40 PM
@BalarkaSen I love it
@vzn well done
 
then $\frac{2x}{e^{2x}-1}\leq 1$ for $x\geq 0$
where we need the restriction $x\geq 0$ since $e^{2x}-1<0$ for $x<0$
and then adding $x$ to both sides gives the original bound to be shown, woo
 
I don't see why stating that stuffed veg is very healthy for lunch is equivalent to writing a diary, @0celo7 @vzn
That seems poor philosophical equivalence by extrapolation
 
I think the proper comparison is less "like writing a diary" and more "like twitter"
 
Clearly you two haven't been purplepilled by Jordan B. Peterson well enough
 
@0celo7 so that was fun.
 
4:44 PM
 
@Semiclassical Honestly, there's nothing per se wrong with stating "I'm doing X right now" on the chat. I didn't really get what ACM is bothered about in the original objection but I didn't bring it up because it felt like a minor issue
 
nice
I don't either, really. I can sorta see an argument for it as 'spam' but ehhh
 
yeah, spam is more like, if you're like, writing a full page of diary
 
This isn't like the main site where the aim is to have a curated collection of content
 
I think the actual context was one of Secret's mental breakdowns, no?
 
4:46 PM
@0celo7 No, this was not about Secret's messages
It was to Cows
Who writes what he's doing on a regular basis on the chat to an empty audience
 
ah, yes
 
tbh I have the latter on ignore.
 
153 pages
 
I usually can't understand Secret but at least he says interesting things.
 
I still have the Mega Calculation to do
 
4:48 PM
@Semiclassical I agree with this
If he makes his "idea-blogs" shorter to fit in the context of chat, I think he's a perfectly fine member of the chat
Or rather, if he opens a blog himself for extended write-ups and then links it along with a summary
 
There's a limit, of course.
Or even just use a sub-room consistently for that purpose
 
he does have one
 
True
 
it's like the room in ass creed 1 when you have the vision thingie
 
4:50 PM
@Semiclassical stop those lies
 
@Slereah Not Nice.
Get banned.
 
I made a room recently in order to have a spot to ramble about stuff
 
If it's a crime to say that Secret only does inane rambling then let history remember me as a criminal
 
which I haven't used much
but it's there if I need it
 
@Slereah I'd use a (milder version of that) for Kenshin, not Secret
 
4:52 PM
@BalarkaSen Kenshin is even worse because he's smug about it, too
He's like a teenager that just found a wikipedia page about basic philosophy concepts and thinks himself like the wisest man who ever lived
 
Lol
I won't publicly say if I agree with that description
 
Anonymous
Secret normally listens if you tell him to stop and take his messages elsewhere. I don't see any bad intentions there. Some people just like to talk!
 
Anonymous
Kenshin is a different case altogether
 
@Slereah is just a hater
 
I'd put it like this. One of my intellectual heroes is Euler. That's not just because he did so much, but because he was so adventurous in what he did
 
4:55 PM
it's true
 
@0celo7 I'd respond to that but I'm too lazy to actually bring myself to do it
 
i am filled with hate
I am basically the Grinch of physics
 
A lot of what he did is (rightly) longer considered to be rigorous
 
Enough with the character assassinations (that's my job! :-)
 
But he was willing to try things, see what they did, and publish it for the world to see
 
4:56 PM
@JohnRennie I mean we're having a public discourse, aren't we? That's what the mods wanted!!
 
vzn
@BalarkaSen cows is relatively new to the chat & think his lines are sometimes "contextless" but think it could be more hospitable to him, sometimes think its a wonder that anyone turns into regulars around here. think its great that ppl share interesting stuff going on with them personally "to a pt" etc
 
So Euler was more of an explorer/pioneer, by contrast with someone like Gauss who was more of a conqueror (not sure that's the best way to put it)
 
@BalarkaSen I think it would be different if Secret or Kenshin were here and you were asking them to stop. As it is you're just slagging them off.
 
Oh, we don't have a problem trashing Kenshin because he's smug
 
I wasn't slagging Secret
I just said I like him
which I do
 
4:58 PM
2 mins ago, by John Rennie
Enough with the character assassinations (that's my job! :-)
 
Anonymous
Same ^
 
@vzn I think what Cows says is ok, tbh
Anyhow I have to get going now
 
I'm very much an advocate of using ignore
 
@BalarkaSen Disagree.
 
vzn
@0celo7 lol hes interested in elliptic fns, what are you, an elitist? :P
 
Anonymous
5:00 PM
Cows is beyond my human understanding :P He seems sweet though
 
very elite.
 
(a couple of hours later...) nah I don't think I have enough foundations on analysis to solve that integral functional equation. I'll do that later, now to do a little bit more chem and then go to sleep
 
vzn
@0celo7 ok you @#%& elite(ist) undergraduate :P
 
Anonymous
Okay well let's stop talking about people behind their backs XD
 
vzn
@Blue ok. blue is the worst, lol :P
 
5:01 PM
@vzn for sure.
 
lol I am perfectly fine on that, as long people are saying what they actually think
 
he tried to kill @diobuceulb
 
vzn
@0celo7 diobuceulb, aka the chameleon, seems to ask for trouble o_O ... (but, trying to think of something nice to say) he has a kickass cool id :)
 
Anonymous
diobuceulb was a good friend. I miss him tbh. Circumstances just turn out to be bad sometimes and people misunderstand you. Maybe someday...
 
vzn
@BalarkaSen example of some of his at-times "contextless" writing: cutting edge coding, public speaking, math + physics research, & interviewing with top silicon valley companies. etc... honestly think he might be good for an AMA esp given no volunteers for dry spell over ~½yr... o_O
 
5:18 PM
"One can, within Newtonian mechanics, construct a solution representing two rocket ships which bounce between them a mass point with ever increasing speed. The result is that the rocketships accelerate in opposite directions; if the speeds are adjusted correctly, the ships can be made to escape to the "edge" of our Euclidian space in finite time, leaving nothing behind."
It's the dreaded bouncy double space invader whammy
 
vzn
@Slereah (lol missed that) memes are the scourge of this room and far @#%& worse than "inane rambling" :P
 
reminds me of a fun problem in special relativity
 
@vzn You can take them from my cold dead hands
 
vzn
@Slereah its like a GR pinball or video game, hey someone should invent that :)
 
Well no, it's written specifically as Newtonian!
And the infinitely accelerated GR curve doesn't go to infinity in finite time
 
5:22 PM
"Two spaceships float in space and are at rest relative to each other. They are connected by a string. The string is strong, but it cannot withstand an arbitrary amount of stretching. At a given instant, the spaceships simultaneously (with respect to their initial inertial frame) start accelerating (along the direction of the line between them) with the same acceleration. (Assume they bought identical engines from the same store, and they put them on the same setting.)"
 
It goes asymptotically to a null curve
 
Will the string eventually break?
 
in finite proper time
 
$(i \frac{\partial}{\partial t} - e A_0) \phi = \dfrac{1}{2m} \vec{\sigma} \cdot (\mathbf{p} - \frac{e}{c} \mathbf{A})^2 \phi - \dfrac{1}{(2mc^2)^2} \vec{\sigma} \cdot (\mathbf{p} - \frac{e}{c} \mathbf{A})(i \frac{\partial}{\partial t} - e A_0) \vec{\sigma} \cdot (\mathbf{p} - \frac{e}{c} \mathbf{A}) \phi + \dots$
 
vzn
@Slereah yeah pinballs (one of my faves) are very newtonian but the "dreaded bouncy double space invader whammy" maybe got me carried away a little )( and sounded even GR like. re acceleration, speeds, rocketships, euclidean space etc
 
5:24 PM
That's the Dirac equation in an EM field expanded in powers of $1/c$, wtf does it physically mean to expand in powers of $1/c$, with the first order term reproducing the Pauli equation
 
The horrible space invader scenario in GR is Anti-de Sitter space
 
vzn
@Semiclassical lol it IS GR! :)
 
Where null curves go to infinity in finite time
 
vzn
went on gym water slides + dry/ steam room + hot tub + indian restaurant with indian CS Msc student last nite + almost ran red light o_O
 
5:51 PM
@Blue no, the ship has sailed
 
Anonymous
6:05 PM
@0celo7 No grudges on my side.
 
It's pretty hard reading about spacetime holes because I know that most old papers are wrong
Geroch just claimed that Minkowski space doesn't have holes, but it was later proven that it was
I have no idea if there's a definition of holes that holds up in modern times
Although I've seen some paper with a definition that has every globally hyperbolic inextendible spacetimes as hole-free
which sounds reasonable
Actually, maybe I should send an email to Krasnikov
I've got his emails and he seems responsive
and he seems very invested in that business
 
vzn
@0celo7 lol "ship" returns 4d
 
6:30 PM
@JohnDuffield Do you care for cosmology?
 
6:51 PM
@Blue Why would diobuceulb call me "the opposite operator of cool and good" when I'd NEVER call him "get banned"? Oh well, I try so hard to be his friend - and maybe someday that will happen!
 
-1
Q: Is there another universe which is made up of antimatter, in large amounts like ours is made up of matter?

PitifulStudentCan it be possible that in the big bang, not one, but two universes were formed, one formed of matter, and the other formed of antimatter? It seems logical to me that since our universe is formed of matter, there must be some universe made of antimatter, so that a sort of an equilibrium is mainta...

Primarily opinion-based?
 
Anonymous
@BalarkaSen I'm with DJT on that one. :P
 
"
"One can, within Newtonian mechanics, construct a solution representing two rocket ships which bounce between them a mass point with ever increasing speed. The result is that the rocketships accelerate in opposite directions; if the speeds are adjusted correctly, the ships can be made to escape to the "edge" of our Euclidian space in finite time, leaving nothing behind."
It's the dreaded bouncy double space invader whammy"
 
7:20 PM
@Blue Hi bro , do you remember any tricks or tips for remembering inorganic ?
 
Anonymous
@Tanuj Buy gigantic chart papers
 
Anonymous
And color pens/pencils
 
Uhm okay. I see where you're getting at
 
Anonymous
Yeah. And just write down all the NCERT stuff in brief
 
Anonymous
That's pretty much all you need to do
 
7:28 PM
also what about ydse ? Even if I remember the formulae , I can't solve its questions
 
Anonymous
YDSE is easy peasy
 
Anonymous
Maybe do more example problems
 
7:55 PM
random aside for myself: $\int x_i x_j \,d\Omega$ should be rotationally invariant, so $\int x_i x_j \,d\Omega=C\delta_{ij}$. taking the trace then gives $3C=\int 1\,d\Omega=4\pi\implies \int x_i x_j \,d\Omega = \frac{4\pi}{3}\delta_{ij}$
 
8:11 PM
In particular, $\int z^2 d\Omega=\frac{4\pi}{3}$ on the unit sphere. But it's probably silly for me to do it this way since in spherical coordinates it's just $$\int_0^{2\pi}\int_0^\pi \cos^2\theta\sin\theta\,d\theta d\phi =2\pi\left[-\frac{1}{3}\cos^3\theta\right ]_0^\pi=\frac{4\pi}{3}$$
 
9:03 PM
@ACuriousMind I need algebra help (quadratic equation)
@Semiclassical halp
 
Out of curiosity, what does the quadratic equation look like?
just curious as I know you can definitely solve it lol
 
$$0\ge -(C_8(1+\epsilon^{-1})\rho^{-2}-4H_2\sigma +(2(n-1)^2+\epsilon)K+C_9\eta)G+(2-\epsilon)G^2+2H_1^2\sigma^2-\epsilon H_2^2-C_{10}\eta^{-1}(Lip\, h)^2$$
 
hmm
what are you solving for?
$G$ or $ \sigma$
 
$G$, but I will get an inequality
and I don't remember which way the inequality will go here
$\epsilon<2$
 
Anonymous
Are there imaginary terms in there?
 
9:14 PM
@Blue don't think so...
 
Anonymous
Okay. Then why not just write it in the $(x-a)(x-b)\leq 0$ form?
 
Anonymous
After that it's easy
 
Anonymous
You can find $a,b$ from the quadratic formula
 
well, maybe there are imaginary parts
it's hard to tell
 
Anonymous
Hmm, even then the quadratic formula will give you the roots. Then use De-Moivre's and analyze
 
9:24 PM
well yeah I have the roots but the descriminant is something horrible.
 
Anonymous
Ah, well. The inequality itself does look horrible :P
 
it took me like 6 hours to derive it
 
Anonymous
Maybe try replacing those symbols with A,B,C,D, etc and plug into mathematica or wolfram
 
Horribilis horribilis
 
so by making $\eta$ very small, I can make the $c$ term arbitrarily large and negative
so that forces the parabola below the axis
this is by no means an optimal estimate though...wonder if I care.
 
Anonymous
9:26 PM
Trying to graph it (by estimation) often provides valuable insight
 
Anonymous
Very useful for cubics, quadratics, and higher orders
 
I've been doing this for a while, I know what graphing does :p
li probably has a mistake, nothing unusual about that
 
Anonymous
I hope you can find someone interested enough to touch that horrible thingy and help :P I'll run!
 
Anonymous
Anyway, that's another great video by 3B1B
 
Anonymous
9:36 PM
Released today
 
Anonymous
I need to learn how to do those animations
 
9:48 PM
@Blue I overlooked the easy fact that because it faces upwards and has one point where it's nonpositive, the two roots must be real by the intermediate value theorem
 

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