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user228700
8:00 AM
^Northern India.
 
user116211
I love Ruskin Bond's writings.
 
user116211
His short stories are awesome.
 
user228700
And then u can decide if u want to go to the places he describes.
 
@Kaumudi ok
cool
Thanks!
 
user116211
I read his poem on his grandma who could climb tree ;)
 
user228700
8:01 AM
@MAFIA36790: Yeah, Ruskin Bond toh <3
 
Obviously I'm not going to hop on a plane right now. There's time to talk and plan.
 
user116211
@DanielSank sure.
 
Anna and I like to go on trips.
India sounds fun.
We went to Japan after we got married.
That was a really fun trip. I remember it mostly from the food.
 
user116211
I want to visit Scotland; if I want something ;)
 
user228700
@DanielSank :-) If u come next year, after May, if I've gotten into an institute in some place u've decided to go, then I could totally show u guys around :-D
 
user116211
8:02 AM
and then Russia.
 
@MAFIA36790 Russia??!!
 
user116211
yes.
 
Possibly the word "so" with a bit of rearrangement:
I went to bed **because** I was tired
I was tired **so** I went to bed
 
@MAFIA36790 Почему ты хочеш поехать в Россий?
 
user116211
Google translate....
 
8:04 AM
@JohnRennie Thinking...
 
user228700
Eight year have passed
Since I placed my cherry seed in the grass.
“Must have a tree of my own,” I said,
And watered it once and went to bed
And forgot; but cherries have a way of growing,
Though no one’s caring very much or knowing.
 
user228700
And suddenly that summer near the end of May,
I found a tree had come to stay.
It was very small, five months child,
Lost in the tall grass running wild.
Goats ate the leaves, the grass cutter’s scythe
Split it apart and a monsoon blight
Shrivelled the slender stem…… Even so,
Next spring I watched three new shoots grow,
The young tree struggle, upward thrust
Its arms in a fresh fierce lust
For light and air and sun.
 
Or the word "for" might work, thought that's a little archaic:
I went to bed **for** I was tired
 
@JohnRennie Interesting...
 
user228700
I could only wait, as one
Who watched, wandering, while Time and the rain
Made a miracle from green growing pain…….
I went away next year-
Spent a season in Kashmir—
Came back thinner, rather poor,
But richer by a cherry tree at my door.
Six feet high my own dark cherry,
And- I could scarcely believe it-a berry.
Ripended and jeweled in the sun,
Hung from a branch—just one!
And next year there were blossoms small
Pink, fragile, quick to fall
At the merest breath, the sleepiest breeze. ….
 
user228700
8:06 AM
I lay on the grass, at ease,
Looking up through leaves at the blue
Blind sky, at the finches as they flew
And flitted through the dappled green.
While bees in an ecstasy drank
Of nector from each bloom and the sun sank
Swiftly, and the stars turned in the sky,
And moon-moths and singing crickets and I—
Yes, I!— praised Night and Stars and tree:
That small, the cherry, grown by me.
 
Is this all leading up to a line with because in it that doesn't scan? :-)
 
user228700
That's the poem "The Cherry tree" by Ruskin Bond. To give u all an idea about his work :-)
 
user116211
@DanielSank Well, from the very childhood, I had dreams of visiting Siberia and Russia. There is no specific reason; but I really want to. One of my aunt's husband lives there working as a photographer.
 
@JohnRennie Eh?
 
Ok nvm, I only need to rotate the state slightly
$$(a\lvert 1\rangle+b\lvert 0\rangle) \otimes (c\lvert 1\rangle+d\lvert 0\rangle)=bd\lvert 00\rangle+ad\lvert 10\rangle+bc\lvert 01\rangle+ac\lvert 11\rangle$$

$$e^{iHt}(bd\lvert 00\rangle+ad\lvert 10\rangle+bc\lvert 01\rangle+ac\lvert 11\rangle)=b'd\lvert 00\rangle+ad\lvert 10\rangle+bc\lvert 01\rangle+ac\lvert 11\rangle$$

thus I can create an entangled state this way
 
8:08 AM
@Kaumudi: I'm not a huge fan of poetry though I enjoy word games. Have you heard of a poet called Ogden Nash? He writes doggerel rather than poetry, but it's funny because of the clever way he uses words.
 
(continue on the marble analogy in the next post)
 
user116211
@JohnRennie, You explored Scotland, right?
 
user228700
@JohnRennie Hey, I've heard of Ogden Nash!
 
@MAFIA36790 No. I've only been to Scotland twice and only for a short time in both cases
 
user228700
@DanielSank: BTW, what did u think of that poem?
 
user116211
8:10 AM
ohh.
 
@MAFIA36790 Интересно. Ему нравится там жить?
 
user116211
Google Translate....
 
@Kaumudi sentimental twaddle
 
^ The British really are silver tongued, are they not?
 
nostalgic sentimental twaddle
 
8:11 AM
^ I rest my case.
 
user116211
@DanielSank I don't know. I have not talked with him for years. But he showed some pics; he loved his place; I liked the pics too.
 
@DanielSank :-)
 
Grace us, good sir @JohnRennie, with an example of fine poetry, that which delights your wit and satisfies your soul.
Or, otherwise, do shut up.
 
Celery, raw
Develops the jaw,
But celery, stewed,
Is more quietly chewed.
- Ogden Nash
True genius :-)
 
::Wonders if others find that as funny as I did...::
@JohnRennie -_-
I thought @Kaumudi's poem was the dog's bollocks.
(Am I doing it right?)
 
8:14 AM
The one - l lama
He's a priest.
The two - l llama
He's a beast.
And I will bet
A silk pajama
There isn't any
Three - l lllama.
- Ogden Nash
 
user116211
@JohnRennie This is harder than Bourbaki ;/
 
user116211
Maybe it's Nazi enigma....
 
@JohnRennie Somewhat droll, I suppose.
 
And this is a tad misogynist by modern standards, but it makes me laugh every time:
Go clothe your lower limbs in pants!
Deck yourself out, my sweeting.
You look divine as you advance,
Have you seen yourself retreating?
- Ogden Nash
 
user116211
...
 
8:16 AM
@JohnRennie Eh?
I don't get that one.
 
user116211
1 min ago, by MAFIA36790
Maybe it's Nazi enigma....
 
@DanielSank just put it behind you :-)
"Alas and Alack", the young girl raged,
"How long must I wait to get engaged?"
Her problem was a beau who shied,
From the day the nuptial knot be tied.
Her solution, it was both quick and neat,
She swept the lad from off his feet.
No feminine guiles, that's not the way,
'Twas a baseball bat that carried the day.
I can keep this up for hours :-)
 
user116211
Don't you read scifi @JohnRennie; from where are these coming?
 
@JohnRennie I don't doubt it.
 
@MAFIA36790 I'm a cultured man! You shouldn't let my love of doggerel and fart jokes persaude you otherwise :-)
 
8:20 AM
My beard grows down to my toes.
I never wears no clothes.
I wraps my hair around my bare
and down the road I goes.
--Shel Silverstein
 
user116211
ohh... okay, okay, sir.
 
@JohnRennie Your move.
 
user116211
So, is this a duel?
 
user116211
Pick up some pistols, then.
 
Ooh, I haven't heard of Shel Silverstein but that sounds just my type of poetry. A-Googling I shall go ...
@Kaumudi: I bet you're sorry you started this now :-)
 
user116211
8:22 AM
@JohnRennie, try Wordsworth.
 
user116211
Then Tennyson.
 
user116211
Two of my favourites.
 
Insufferably wet the pair of them
 
user116211
Ulysses? It was an amazing piece.
 
@JohnRennie !!!
 
8:24 AM
Now Byron, that's a different matter. Yes he was a tw*t, but my goodness he wrote some good stuff.
 
Every American child has several Shel Silverstein volumes on their bookshelf.
 
user116211
I only heard of Frankenstein.
 
@JohnRennie Like I said: that silver tongue of the Brit.
 
user116211
No other steins.
 
@DanielSank well they were. I wondered lonely as a cloud - good grief man, grow a pair.
 
8:25 AM
:|
 
I had a dream, which was not all a dream,
The bright sun was extinguish’d, and the stars
Did wander darkling in the eternal space,
Rayless, and pathless; and the icy earth
Swung blind and blackening in the moonless air
Morn came and went—and came, and brought no day,
And men forgot their passions in the dread
Of this their desolation: and all hearts
Were chill’d into a selfish prayer for light:
 
There was once a man called John Rennie.
In his pocket was nary a penny.
But physics he knew
and his rep points grew
after questions he answered so many.
--Daniel Sank
2
Your move.
::drops the mic::
@JohnRennie ?
 
@DanielSank my move? You just responded to a poem by Lord Byron with a limerick of your own, and you think that levels the score?
I call Shelley to the stand:
"My name is Ozymandias, king of kings:
Look on my works, ye Mighty, and despair!"
Nothing beside remains. Round the decay
Of that colossal wreck, boundless and bare
The lone and level sands stretch far away.'
 
@JohnRennie Uh yeah. In a battle of wit, one wins not by citing the victories of his predecessors.
 
I've been to Egypt and seen the statue of Rhamesses that inspired the poem, though it's now been put back upright again.
 
8:31 AM
The Byron poem makes no sense.
And the Shelly one is just some guy blowing his own horn.
 
Poets eh? They should get a proper job! :-)
 
You can't just repeat Eminem in a rap battle...
@JohnRennie Indeed.
 
MAFIA, Danielsank
Basically what I have in mind about entanglement is like this:

1. There are two marbles of no color, which we knew it will randomly become R G B or combinations thereof if you touch one of them. What color each marble become is entirely determined by this underlying probability and not some underlying thing such as the marble has some predefined color or how your touch it. The color each marble take when it is touched is independent on what happened to the other marble. We can determine the probability of the two marbles (Two marble probability) for all possible color com
 
Ok.
 
user228700
@JohnRennie Ah, I know where Ik Ogden Nash from!
 
8:34 AM
so in a nutshell, I am treating the wavefunction as an intrinsic property like charge that can be swapped around like a thing
and that kinda makes sense because wavefunction evolution is determinstic
 
user228700
I listen to this podcast called "Dear Hank & John", which features a short poem at the start of every episode.
 
Step 2 is what I am trying to understand what happened during entanglement, which is why this marble analogy arises
 
@Secret During entanglement you go from a factorable probability distribution to a not-factorable one.
 
user228700
Oh, man, there was this great poem by him that they read!
 
user228700
@JohnRennie: I loved it. I'll let u know when I find it again...
 
8:37 AM
@Kaumudi I might know it, can you remember what it was about?
 
user228700
Idk. I feel like it was about a cherry..? I ate the cherry that u had saved, something like that..?
 
user228700
@DanielSank Oh, I KNOW, right?!
 
Hmmm, that doesn't ring a bell ...
 
user228700
Yeah :/ It was great! Hang on...
 
user228700
@JohnRennie Actually, not at all :-D
 
user228700
8:40 AM
I write a little poetry myself...
 
However, I am not sure if this captures EVERYTHING in Bell's theorem.
e.g. in order to produce the cosine dependence on angle when the two parties measures the composite system, I suspect that the correlation between the probabilities has to be a form such that when squarerooted, obeys linear superposition
 
user228700
Though @JohnRennie: Definitely not ur type :-)
 
@Kaumudi is that why you wanted a one syllable word for because?
 
user228700
@JohnRennie That was DanielSank, not me :-P
 
Oh yes. Oops, sorry.
 
user228700
8:43 AM
A different one, this:
 
user228700
I find it very difficult to enthuse
Over the current news.
Just when you think that at least the outlook is so black that it can grow no blacker, it worsens,
And that is why I do not like the news, because there has never been an era when so many things were going so right for so many of the wrong persons
 
user228700
-Everyone tells me everything, Ogden Nash, the one I heard on the podcast. Definitely not about cherries :-P
 
Aha :-)
 
user228700
U knew this one?
 
0
Q: Any connection between uncountably infinitely many differentiable manifolds of dimension 4 and the spacetime having dimension four?

Rajath Krishna RI am self studying GR through lectures videos and the lecturer told something that was mind-blowing for a beginner like me. Maybe this question is a naive one because of my lack of knowledge in differential geometry. The number of differential manifolds with up-to diffeomorpshism of dimension 1...

 
8:47 AM
@Kaumudi No, but Ogden Nash must have written thousands of poems. I only remember the few that I particularly like.
 
Oh confused physicists and differential geometry :D I remember I was exactly like this 3 years ago...
 
user228700
@JohnRennie: This is the one about plums (not even cherries :-P)
 
The cherry is a berry
That makes me merry
Most unlike the plum
Which makes me glum.
 
user228700
:-)
 
user228700
8:49 AM
Wait, did u write that?
 
'Fraid so ...
 
user228700
:-D
 
user228700
Nice!
 
Couldn't you see the mark of genius within it? :-)
 
user228700
Haha, definitely :-D
 
user228700
8:50 AM
My poems are waaay different.
 
user228700
Besides, I've written only like, two. Yeah, I suck, but those two I'm proud of...
 
The problem with cherries is all the pits
The problem with plums is they give me the ...

I couldn't think of a rhyme for the last line of the poem.
 
user228700
One is about my mother and the other about a soulmate. Bet u wouldn't like either of them :-P
 
user228700
@JohnRennie Lol, sir, how are u so good at so many things? :-)
 
Girls write soppy poetry - all love and flowers :-)
 
user228700
8:52 AM
:-P Perhaps.
 
user228700
OK, this has been wonderful but I'm afraid I must get back to Math! Or Chemistry! Something! :-P
 
Yes, I need to get back to work for a few minutes, but I'll leave you with another of my masterpieces:

Bolting food from off the plate,
Causes one to eructate.
While eating like a greedy pig must
Always lead to borborygmus.
These two afflictions are not meet,
When in company you eat.
But worse, for those with a social sense,
Is a healthy burst of flatulence.
 
@JohnRennie And we're supposed to believe that.
 
9:11 AM
@DanielSank : Here is one of Shel Silverstein's more adult themed songs: Freakin' At The Freaker's Ball. Hilarious!
 
:)
 
9:27 AM
0
Q: How can community do downvotes?

RamanujanHow could community downvote or upvote any questions or answer? On its profile it claims that it is not really a person but it's total downvotes are 11,168 . And it's last seen was Nov 1'10

 
 
2 hours later…
11:56 AM
hello
 
user116211
Hello
 
If you are a dreamer come in
If you are a dreamer, a wisher, a liar,
A hope-er, a prayer, a magic bean buyer...
If you're a pretender, come sit by my fire
For we have some flax-golden tales to spin.
Come in!
Come in!

- Invitation, by Shel Silverstein
Two roads diverged in a yellow wood,
And sorry I could not travel both
And be one traveler, long I stood
And looked down one as far as I could
To where it bent in the undergrowth;

Then took the other, as just as fair,
And having perhaps the better claim,
Because it was grassy and wanted wear;
Though as for that the passing there
Had worn them really about the same,

And both that morning equally lay
In leaves no step had trodden black.
Oh, I kept the first for another day!
Yet knowing how way leads on to way,
 
user116211
I thought the duel was over T__T
 
It is
I'm just putting up my two favorite poems of all time
 
user116211
ohh.
 
12:01 PM
yeah, going with the poetry theme.
 
user116211
I'm seeing this author is quite famous.
 
who?
 
user116211
Unfortunately, I've not heard about Shel Silverstein.
 
oh, he's a children's poet (is that how you say that?)
anyway, he's pretty awesome
 
user116211
Ohh.
 
12:03 PM
his poems are whimsical and all over.
he also wrote a book called the giving tree which is also a children's book.
 
user116211
My last venture on poetry was those written by Tennyson.
 
oh, yeah, I think I've heard of him.
 
user116211
Also, Innisfree; the famous poem.
 
"the lake isle of innisfree" by william butler yeats?
I just read that one, and it was pretty good
 
user116211
@heather yes, the Irish poet.
 
user116211
12:07 PM
The last Tennyson poem I read was Crossing the Bars.
 
user116211
Then there was the crazy Macavity: The Mystery Cat too by T.S. Eliot; it was exciting to read ;)
 
@MAFIA36790, wow, yeah, I just read crossing the bars via google - that one is really good!
and macavity, just read that one, too....that one is super funny =)
 
[storage]
http://physics.aps.org/articles/v7/111
Barbour
 
It is a pain to read pages when it keep on giving all these errors
I have no idea what happend to wikipedia recently
 
you could always copy and paste it over into a question asking or answer writing box and see the result
though i'm sure it is a pain
 
12:19 PM
Nothing happened to Wiki, the formulae render perfectly fine on my end.
 
Then either my connection hiccup or something
Is it possibly due to this youtube video that I use as background music, because it is a constant live stream?
 
It even works when I disable scripts, so it's not easy to configure your browser to mess that up
@Secret ...did you try not using it and reloading the page? Such things are easy to test.
But seeing as it is a stream, it's perfectly possible that it's hogging your connection and not letting other pages load properly
 
Yeah, I just closed that window, and reloading still give haphazard loading. I will see if it will become normal again after letting my comp to sit for a few moments without any streaming stuff in the background...
 
user116211
@Secret yeh, this happened to me quite a few times in this week.
 
user116211
I do reload; after reloading some more equations render than the previous time but not all the equations.
 
12:24 PM
it seemed to become smoother for a bit, but still have those broken maths sometimes. After refreshing for 7 more times, the current page now loads compeltely
 
user116211
@Secret Same thing.
 
darn! I just realized I lost three really important pieces of paper and now I have no clue where to look because I just checked all over.
checking again...
still couldn't find it.
 
Solution: Don't imbue pieces of paper with importance :)
 
well, yes. I have a copy online but I was going over it and had written some important notes on it. So, yeah.
because it is for mock trial and the notes were about where to move while I was talking.
 
user116211
Nice fact: time is computed in hours by $+_{12}\,.$
 
user116211
12:41 PM
I sometimes like these off center questions. Often some of these reflect an insight those educated do not ponder. There is a lot of quick down voting that goes on here unfortunately. — Lawrence B. Crowell 37 mins ago
 
user116211
I've asked a question which I think is similar to this one. And as expected, it was closed. physics.stackexchange.com/questions/271087/…velut luna 1 min ago
 
One thing I felt when reading Munkres is how mophisms often act like tools in set theory.

Nearly all the proofs in Ch. 1 involve mophisms of one kind or another, and effectively, they are being used in the proof from comparing the size of two sets, to measure how big it is, to determine properties of the subsets, to check whether it is countable and other properties
 
user116211
Didn't like the attitude in as expected...
 
So far so good until those least element greatest element sandwiching proofs where I often lost track on how is e.g. $h(g) < c$ and $h(g)\leq c$
It seems I am not good enough at inequalities
So in a sense, maths is not very different from physics. I have some mathematical objects that is basically my physical system that I can do stuff on, and another bunch of mathematical objects that act as my instruments and toolbox to probe the system in question
But unlike experiments, we already knew the result when proofing things, we just need to show that pathway in completing the proof
 
well, you don't always know the result in proving things, right? Like when exploring unsolved questions like P=NP or the collatz conjecture or whatever.
 
12:50 PM
Well I guess conjectures in mathematics are more like hypothesis in experiments, thus for these proving them or disproving them do sounds like experiments
 
right, yeah
 
@Secret When you do research in math, you don't know the result, either. The difference to experiements is not that you know the result, but that you end up with either a proof, a disproof, or you know exactly that you still don't know whether the statement is true or not.
 
and then proving already proved stuff is almost like redoing an experiment that already has been done
 
Math doesn't have to care about detection thresholds or confidence in results. Things are either true or they aren't.
@heather Exactly
 
yeah
 
12:52 PM
well, there is one big difference between math and physics
the abstract-ness of the situation.
I mean, yes, we can't imagine the quantum world, really, but at least we know it exists. math things often end up having some application, but some things don't really
 
@heather Oh, I don't think you can say that in general. There's combinatorics or low-dimensional geometry or other things in math that I'd argue is much less abstract that what goes on in e.g. high energy physics experiments
You might be tempted to say "on average" that math is more abstract than physics, but I'm afraid I don't know how to average over an entire academic field ;)
 
yeah, good point =)
 
Jim
@ACuriousMind magnets
 
@Jim, points for the random interjection of the day
 
Jim
I'm the reigning champion on that front
 
12:55 PM
Well for me perhaps because of the strong parallels with experiments, I found a lot of maths quite visual. When studying , I can often turn some of the theorems into something geometric or look like digraphs or commutative diagrams. For example, some notions such as orbits and normal subgroups in group theory reminds me of points moving around in a bunch of parallel circles, for some reason
 
@Jim What about Magical Arcane Gadgets Normally Explained Through Science?
(I have to admit I had to search the transcript for that :/)
 
Jim
@ACuriousMind that's how you average over an entire academic field. Use magnets
 
Oh, of course
 
@ACuriousMind, though honestly, I would say that it isn't quite true that results in math are just yes, no, or unknown. Because proofs are sometimes disproven, like confidence in results. And I'm not sure what detection thresholds are.
@Jim, ah, thank you, I see the light now =P
 
I don't think there is detection threshold, unless you are doing numerical things to show that one expression matches the other correct to some decimal places
or things related to some infintie sets, where you cannot always enumerate all the elements
 
Jim
12:57 PM
@heather No, there's only magnets, not electrics too. You shouldn't be seeing any light
 
is detection threshold like the accuracy of the answer?
 
22
Fringe science

Proposed Q&A site for inquiries about theories put forth as scientific theories, but that are rejected by mainstream scientists as pseudoscientific. Examples: acupuncture, alchemy, chiropractic, dianetics, homeopathy, intelligent design, phrenology, psychoanalysis, ...

Currently in definition.

 
@Jim, okay, that is the most fabulous comment I have seen =)
 
in case anyone feels like trolling
 
user228700
@heather :-D God, am I glad I started with the poetry.
 
12:58 PM
@heather Well, sure, math is done by people, and people are fallible. But the perfect mathematician wouldn't make any error, or publish a wrong result. The perfect physicist still couldn't ever prove their laws, just say they're true up to e.g. $1000\sigma$.
 
Jim
@EmilioPisanty how does one troll a site like that? Isn't it bound to eventually be a harbour of nothing but trolls?
 
@ACuriousMind, but couldn't you argue that certain new results could come in and make it necessary to change the proof, or the nature of the proof?
 
@Jim Honestly, I don't think it'll make it
but here's some quick questions right off the bat
Are there any peer-reviewed double-blind studies that show homeopathy is better than a placebo?
 
I'm very tempted right now
 
Are there any peer-reviewed double-blind studies that show acupunture is better than a placebo?
wait
no, that's not particularly easy to do
 
Jim
1:01 PM
@EmilioPisanty I don't want to live on this planet any more
 
@heather A proof is either correct or it isn't. You might discover a "better" (i.e. more elegant) proof, or one that uses fewer prerequisites, but a proof is a proof
 
Jim
@ACuriousMind can you prove that a proof is a proof?
 
@ACuriousMind, I'm trying to think of an example here. But yeah, I guess you're right.
 
acupuncture do have slight benefits over placebo for some types of pain based on some reports. But otherwise mostly placebo effects.
 
1:03 PM
@EmilioPisanty, it is very tempting right now to post that question.
 
homeopathy is almost certain dead end and ruled out almost universally by any reputable medical journals
 
@Jim Only if you can prove you would understand it.
 
@heather don't troll people
 
@EmilioPisanty, yeah, I know
 
the name of the game here is making the internet better
 
1:03 PM
It's just so funny. =P
 
@EmilioPisanty You mean it's difficult to make people believe they're being stung with needles while not actually stinging them with needles?
 
@ACuriousMind Can one solve a 4th order linear system by taking the tensor product of the 4th coefficient?
 
@ACuriousMind pretty much
I tried once
didn't work
 
But hey, you could argue making that site worse would be making the internet as a whole better =P
 
Jim
@ACuriousMind I believe the onus is on you. I am understanding until proven stupid
 
1:05 PM
@0celo7 what?
 
@ACuriousMind Idk I had a dream about linear algebra and someone said that and the prof agreed
 
@heather The site doesn't actually exist yet (and possibly won't ever), it's just a proposal
 
Jim
if it was in a dream, it must be true!
 
^that
 
user116211
I dreamt of order theory today.
 
1:06 PM
@0celo7 how is a system have a 4th order dependence on the unknown function or its derivatives even linear?
 
user116211
It's true.
 
user116211
Because I dreamt of Kelley's pages.
 
Jim
@0celo7 Also, you dream about linear algebra? You need to get out and live more
 
@ACuriousMind So, back to my interval question
 
No, to be honest I find the attitude "but homeopathy is juuuust a placeeeebooooo!!!!!!" to be rather unconstructive. There's two ways to combine the facts that (i) there's plenty of homeopathy success stories, and (ii) homeopathy flunks every double-blind test. One is to shut one's ears and say "but homeopathy is juuuust a placeeeebooooo!!!!!!". The other is to say "huh, these guys are actually really good at using placebos, maybe we should learn from them".
you never see people on that second track though
 
1:07 PM
you want me to take a point in $A:=f^{-1}(a)$ and a point in $B:=f^{-1}(b)$
 
it would involve really painful things on the part of the physician, like treating the patient as a person
 
But how do I know it's possible to find a point in $A$ directly followed by a point in $B$
what if there's some pathological arrangement where such a thing is impossible?
 
Actually, of all the alternate medicine, homeopathy is the worse receiving of them all, not only it is almost universally shown to be a placebo, there are even reports showing it is worse than a placebo
 
@Jim I bombed a QM exam that had linear algebra on it.
 
@Secret that just sort of makes my point stronger
 
1:09 PM
@0celo7 Suppose it weren't - how is the function ever going to attain $b$ then.
 
Jim
@0celo7 recently? So it was a nightmare?
 
Yes
 
Jim
I feel your pain
 
@0celo7 what's a QM exam that doesn't have linear algebra in it?
 
@ACuriousMind I don't know? Why won't it
@EmilioPisanty this one had a system of 5 equations on it
 
Jim
1:09 PM
@EmilioPisanty philosophy?
 
@ACuriousMind it might also be that one has to pick $B$ first, then $A$.
 
@Jim I don't normally count "yakking about quantumness without any hint of math as QM" tbh
 
@0celo7 Do they ever mention 4th order (of what) in that linear system? cause if it is 4th order in x, then it can be linear (provided x is not the unknown thing to be solved)
 
the function could go down from $b$ to $a$
 
Jim
@EmilioPisanty agreed
 
1:11 PM
but OK, if you're looking at representations of $C^*$ algebras, then maybe you can make do without linear algebra
 
@EmilioPisanty I think one problem might be that homeopathy practitioners might not react favourably to people wanting to study how their placebo works.
 
@Secret it was a dream, I dunno. I got laughed at though for asking wtf was going on
 
@0celo7 Sure, I don't get what your problem is.
 
I also dreamt about fallout @Jim
 
Jim
@ACuriousMind If you can't handle the double blind study, get out of the kitchen
 
1:12 PM
@ACuriousMind I don't see the rigorous argument here.
I don't see any argument, really.
 
Jim
@0celo7 so a post-apocalyptic world where you still have to solve linear algebra problems
 
You're trying to use graphical intuition it seems...
@Jim different dream
 
nvm, I tend to overthink about dreams maths too much
 
Jim
@0celo7 not in my mind
 
it does have a long track recrod to leading me to real maths topics that I never thought exist as it lead me to do some google search
 
1:14 PM
@ACuriousMind I also had a dream about the compton effect in an infinite universe
 
@0celo7 Suppose that there was no $x\in f^{-1}(a)$ followed by a $y\in f^{-1}(b)$. Then no $y$ can fulfill $f(y) = b$ because otherwise $\sup (f^{-1}(a)\cap [c,y])$ would be such an $x$ (if our interval is $I=[c,d]$).
So $f^{-1}(b)$ would be empty. Contradiction.
 
Suppose the two side things are bars
 
Jim
@0celo7 your dream had an infinite universe in it? That's technically impossible for me to even imagine. I am the impressed
 
and the bottom edge is a chain
attached to the bars by a pin or whatever
if I put a weight W on the tip, what is the tension in the chain
assume the angles are known
 
Previous night dream is not very interesting though, cause it is just an ordered pair $$(0\dot{q}-q,1)+(0,1)=(1,0)$$ and one MSE guy asking whether this is a divison by zero algebra while clearly this equation is a nonsense. Somehow Legendre transforms crept into this dream and mixed up with divison by zero stuff resulting in the absurd maths.
These ordered pairs does have a weird peoprty that adding 0 on the Left arugment does not go anywhere, and adding 1 on the right arguement does not go anywhere. Thus it basically has $(0,1)$ as an identity (which futher support that equation is incoherent in the dream)
 
1:21 PM
O crap I accidentally killed 0celo7 conversation flow dash back into group theory and hides
 
User claims terminology used is well-known. Searching for terminology gives three hits by the same user on the first page alone, and the other hits are using the word to mean something different. Alright, then.
 
what question/piece of terminology?
 
1:35 PM
@ACuriousMind Your proof must be wrong, because I can come up with a counterexample. Consider $f(x)=-x+1$ on $[0,1]$
and $[a,b]=[0,1]$ too
$f^{-1}(a)$ is just one point, namely $\{1\}$.
So there's certainly not a $y\in f^{-1}(b)$ after that.
 
Yes, note that what I'm taking the supremum of might be empty. However, do you really not see how to fix that?
 
No
I don't know any analysis...
 
Also take the inf of $f^{-1}(a)\cap [y,d]$. Both cannot be empty.
 
Sure, but why?
 
What do you mean, "why"?
 
1:39 PM
Why can't both be empty?
 
I'm not answering that, start using your brain :P
 
I just woke up
@ACuriousMind well why can't that set be empty?
Then the sup and inf are empty
@ACuriousMind Hmm, your notation is confusing
@ACuriousMind Also how do you know the sup/inf of that set is actually in $f^{-1}(a)$?
 
@0celo7 By continuity.
 
@ACuriousMind :/
how?
this is so confusing
 
It's either already in $f^{-1}(a)$ or it's a limit point of it. Choose a sequence in $f^{-1}(a)$ converging to it and by continuity, its value under $f$ also has to be $a$.
 
1:53 PM
Hm, ok
But why can't the set be empty?
 
$f^{-1}(a)$ is wholly contained in $[c,d]$.
 
But not in $[c,y]$.
 
Yes. Note that I intersect with $[y,d]$ for the inf.
 
It could lie in $(y,d]$, no?
@ACuriousMind Oh, apologies.
I missed that, sorry.
Nice!
 
anyone have good methods for memorizing large chunks of text really quickly?
 

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