The h Bar

Captain Bohemian

01:50

@Slereah I wonder how spin networks are produced. Is there any operator whose eigenstates forms a spin network?

Fawad

03:20

Hello

what is “r” in these equations?

0celo7

radius

Fawad

In previous subtopic “r” was assigned for radius of drop /bubble

Radius of what?

Ok. And a is radius of capillary tube right?

I think you people have attitude and don’t want to answer students. Am I the only one to think so?

0celo7

03:35

@Fawad I'm a student, why would I not want to answer students

Sir Cumference

04:05

@0celo7 Want to see a magic trick?

0celo7

@SirCumference maybe

Sir Cumference

@0celo7 ok, what color is your shirt

0celo7

04:21

Orange

@SirCumference

Balarka Sen

04:33

@0celo7 Not sure.

The ones I know are purely topological

@0celo7 I concur

This looks complicated lol

0celo7

04:49

@BalarkaSen it's gaelic

we don't know how to pronounce it though

Balarka Sen

i see

Balarka Sen

05:18

\o @ooolb

ooolb

@0celo7 alright now look down at your shirt and close your eyes for 5 seconds then open them. your shirt will now be the same colour as it was before. ::takes off hat and bows::

sup @BalarkaSen

CooperCape

09:12

ola

Slereah

09:35

tips hat

CooperCape

winter bash ended a while ago.

Slereah

Good

CooperCape

you dissin hats

Slereah

09:51

Also Christmas

CooperCape

w o w

Balarka Sen

10:17

@Slereah be dissing Jesus

CooperCape

JeBus

I wonder wot hats jebus had

Slereah

ncatlab.org/nlab/show/closed+time-like+curve

No categories at all

Very disappointing

@CooperCape Crown of thorns

CooperCape

ouchie

why wasn't that a secret hat

Slereah

Balarka Sen

@Slereah flippingroasted

Slereah

10:27

he's not very into it

CooperCape

whatever flotas your boat.

personally I love that shit.

Slereah

nlab uses $(X, \mu)$ for Lorentzian manifolds

Disgusting

CooperCape

yeah I get that too

Slereah

"The path $(\infty,1)-$category of a Lorentzian space"

Slereah

11:56

hey @ACuriousMind

Balarka Sen

ACuriousManifold

Slereah

ncatlab.org/nlab/show/Lorentzian+geometry

wot

Never heard of AdS gravity

Slereah

12:29

@DavidZ why does your avatar look like a nerd from the 1950's

You look like Jimmy Olsen

CooperCape

12:54

Don’t you hate it when you’re tryna calculate eigenvectors but you keep getting 0 cause you a ret

I mean 0 isn’t wrong but...

Slereah

Well 0 is an eigenvector

It's a 0 for all operators, even

the best eigenvector

CooperCape

Not entirely useful

Ehhh you’re right 0 is pretty special

Balarka Sen

it's an eigenvector for all eigenvalues

Slereah

that too

$\hat A |0\rangle = k |0 \rangle$

Balarka Sen

it's a NOT GOOD eigenvector

CooperCape

12:59

It’s abboting

Annoying

Meh

Balarka Sen

tbh when you're asked to find an eigenvector you're really asked to find an eigenspace

0celo7

Lie

Slereah

A Lie group???

Balarka Sen

no u

0celo7

Usually people want a normalized eigenvector

Slereah

13:01

Just divide the zero vector by its norm

Perfectly normalized

( ͡° ͜ʖ ͡°)

Balarka Sen

u

ur face

:roasted:

skullpatrol

@DanielSank very cool stuff.

CooperCape

#generalizedforthewin

Balarka Sen

generalized eigenvectors are only theoretically interesting

its just to get your canonical boi

Slereah

they're aight

Balarka Sen

13:06

once you have jordan canonical form you have nothing to lose

Slereah

Doing QFT without generalized eigenvectors is a pain tbh

CooperCape

I gotta love it tho cause my names jordan and sometimes it’s nice to have a canonical form ygm

0celo7

Oh good a name for my fanfic

Slereah

All Half Life 1 games were science puns

Half Life, Blue Shift, Decay, Opposing Force

Balarka Sen

huh

logan paul got rekt finally

0celo7

13:19

He’s a savage, he’ll recover.

Slereah

he will now hang himself in the woods

Asses to asses

Bust to bust

0celo7

:(

Balarka Sen

he'll walk in the woods

and find a ten dollar

0celo7

Balarka you’re just a hater mc haterson

Balarka Sen

im dabbing at you right now

what are you gonna do

Roses are red
Charcoals are black
What do you do when the haters dab back?

Slereah

13:25

What's the name of the vector space for the Clifford algebra

0celo7

@BalarkaSen while you were busy dabbing, I was mastering the art of the blade

Slereah

Is it multivectors or polyvectors

Or are both acceptable

Apparently both

Hm

0celo7

@Slereah is it not the exterior algebra

Slereah

Poly/multivectors are in the direct sum of the exterior algebra

$$\bigwedge V = \bigwedge_0^n \Lambda^n V$$

Which one to use

What's the root of vector

from latin vector

I should use multivector then I s'ppose

Not gonna mix greek and latin!

0celo7

it's $\oplus\Lambda^n V$

@Slereah they're called (inhomogeneous) exterior forms

Slereah

13:30

yeah

but also multivectors

Oh wait

Apparently it might be like

inhomogeneous forms are duals to multivectors?

I'm not sure

I mean from an algebra point of view they're p. much the same

but I'm not sure which is which

0celo7

everything is finite dimensional so the dual is kind of unnecessary

bolbteppa

The vector space is the vector space, you generate an algebra from the elements of that vector space, don't think you treat the multivectors as living in that vector space

Slereah

Well no

0celo7

@BalarkaSen please explain this uganda meme :/

Slereah

they live in their own lil vector space

@0celo7 they know da wey

bolbteppa

13:38

Well an algebra is a vector space right

Balarka Sen

@0celo7 it originates from the cancer known as vr chat

Slereah

@bolbteppa Vector space and product

crab flash video ("A frightened boy" by Joel Veitch)

►

Have a good old 2000's meme instead

bolbteppa

So yeah, then two vector spaces underly a clifford algebra

Slereah

The Clifford algebra is the multivector vector space and the Clifford product

skullpatrol

@BalarkaSen virtual reality?

Balarka Sen

13:40

yes

bolbteppa

Clifford algebra

In mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems. The theory of Clifford algebras is intimately connected with the theory of quadratic forms and orthogonal transformations. Clifford algebras have important applications in a variety of fields including geometry, theoretical physics and digital image processing. They are named after the English geometer William Kingdon Clifford. The most...

$2^n$ dim vector space generated by products of basis elements satisfying blah...

Balarka Sen

@0celo7 it's a rather unfunny racist meme. i recommend staying away from it

skullpatrol

@BalarkaSen cancer, indeed.

Slereah

No need @bolbteppa

I get it straight from the source

bolbteppa

haha

Balarka Sen

13:41

usually "unfunny" and "racist" are a bad mix

skullpatrol

don't get him started on race :P

bolbteppa

There is a book called 'the spinorial chessboard', I think people think it's similar to a kids book

skullpatrol

there's only one race: the human race

Slereah

What about dogs

0celo7

@BalarkaSen how is it racist

skullpatrol

13:43

dog races are banned.

Balarka Sen

@0celo7 the mock Ugandan accent :p

but mostly it's the unfunny part

there are much funnier accent memes out there

skullpatrol

if we start this up again one of us will get banned

0celo7

@skullpatrol why?

Slereah

Dave Lasher - MADONNA ATE MY BALLS!!!

►

this is one of the oldest internet memes

Balarka Sen

SOMEBODY TOUCHA MA SPAGET is way funnier

Slereah

13:46

It involved having your balls eaten by celebrities

skullpatrol

@0celo7 that's how this place works

0celo7

@BalarkaSen racist.

Balarka Sen

the knuckle meme is just fundamentally based on mocking african accent, stereotyping african subcultures by mocking tribal rituals on VR, and creating chaos

not very funny

skullpatrol

haven't you noticed the pattern?

Balarka Sen

@0celo7 tell that to the animators of The Three Bears

skullpatrol

13:48

we call each other names and BAM flag!!!

Emilio Pisanty

@ACuriousMind am I late to the Rhabarberbarbara game?

Rhabarberbarbara

►

that video is fantastic

skullpatrol

niiice

Emilio Pisanty

it's also what I meant way back in the when about glottal stops and German not being fully phonetic

0celo7

@BalarkaSen why can't I mock an african accent but you can mock an italian one?

Emilio Pisanty

take, say, Rhabarberbarbarabarbarbaren

Slereah

13:50

(the gabagool)

Emilio Pisanty

specifically the locations

skullpatrol

"Not nice"

Emilio Pisanty

Rhabarberbar|barabar|barbaren

Balarka Sen

@0celo7 you miss the point. The Three Bears mocked the italian accent

Emilio Pisanty

there's nothing in the spelling that indicates that they should be pronounced differently

Balarka Sen

13:51

that's the humor of it

0celo7

@BalarkaSen the humor of this is the ugandan accent

Balarka Sen

its not just random dudes on VR with knuckles avatar making noise

0celo7

@BalarkaSen I have no idea what you're talking about

Balarka Sen

i don't see why the ugandan accent is funny. i'd give it a 1/10 if that's the humor

1 for an attempt

technically should get 0

Slereah

@BalarkaSen is only mad because he knows the indian accent is next

Balarka Sen

13:53

the indian accent is beautiful

skullpatrol

Define: accent.

Balarka Sen

dont hate on it

0celo7

@BalarkaSen are you being ironic

skullpatrol

Do the Brits have an accent?

Balarka Sen

@0celo7 no literally i dont see why it's funny.

Slereah

13:54

plz

Balarka Sen

The British accent is funny, otoh

Slereah

Mocking foreigners and silly accents is one of the oldest form of humor known to man

Balarka Sen

thats not because of the ACCENT

0celo7

@BalarkaSen you have your accent humor completely backwards, smh

Slereah

The Philogelus, the oldest joke book in existence, is like half jokes about foreigners

0celo7

13:55

you're just being a white knight, keep that on r/politics

Balarka Sen

its because it's unintelligible and england is the originator of the english language

its the irony of it all

skullpatrol

^

Slereah

publishing.yudu.com/Library/Au7bv/PhilogelosTheLaughAd/…

The Philogelos has some pretty sick burns

0celo7

if you thnk brits are unintelligible, this confirms my suspicion of a tumor in your Wernicke's area

Slereah

if you're from Sidonia or Abderia don't read it tho

0celo7

13:57

@BalarkaSen please go see an oncologist

Slereah

Very racist to Sidonians

skullpatrol

Is that "nice" to say?

0celo7

@Slereah this needs flash

what trash

Slereah

it do

but it's the only full translated version on the internet

Balarka Sen

Videodrome (David Cronenberg, 1983)

►

skullpatrol

13:59

What started this convo?

Slereah

"Consulting a hotheaded doctor, a fellow says 'Professor, I'm unable to lie down or stand up; I can't even sit down.' The doctor responds, 'I guess the only thing left is to hang yourself.'"

Balarka Sen

I think Gromov's accent is pretty decent though

0celo7

the uganda meme

Slereah

Pretty brutal!

0celo7

I think I'll make it my avatar

@Slereah where is the text? I don't want to have to listen to this dude

Slereah

14:00

here's a small list of jokes from it :

stoa.org/diotima/anthology/quinn_jokes.shtml

Balarka Sen

everyone outside of VR thinks it's a bad, cancerous meme

Slereah

There's a full list also, but it's in ancient greek

0celo7

@BalarkaSen again, no idea what you're talking about

all memes are cancer

Slereah

A rude astrologer cast a sick boy's horoscope. After promising the mother that the child had many years ahead of him, he demanded payment. When she said, "Come tomorrow and I'll pay you," he objected: "But what if the boy dies during the night and I lose my fee?"

Very rude

Balarka Sen

@0celo7 subjective

0celo7

14:01

objective

skullpatrol

I give up

0celo7

all memes are cancer

skullpatrol

The internet is cancer.

Slereah

"A misogynist stood in the marketplace and announced: "I'm putting my wife up for sale, tax-free!" When people asked him why, he said: "So the authorities will impound her.""

Balarka Sen

@0celo7 no u

@Slereah jeebus

stop

Slereah

14:02

"An intellectual got a slave pregnant. At the birth, his father suggested that the child be killed. The intellectual replied: "First murder your own children and then tell me to kill mine.""

It was a more brutal era!

skullpatrol

:-O

0celo7

@Slereah after watching Rome, this makes a lot of sense

skullpatrol

STAAP!!!

Slereah

"An Abderite saw a eunuch talking with a woman and asked him if she was his wife. When he replied that eunuchs can't have wives, the Abderite asked: "So is she your daughter?""

:D

skullpatrol

s h o g is near

0celo7

14:04

kek

@skullpatrol only if you called him

skullpatrol

never

0celo7

@Slereah who or what is an Abderite

and does it add to the joke?

Slereah

Abdera, Thrace

Abdera (; Ancient Greek: Ἄβδηρα) is a municipality and a former major Greek polis on the coast of Thrace. It lay 17 km east-northeast of the mouth of the Nestos River, almost directly opposite the island of Thasos. The site now lies in the Xanthi regional unit of Thrace, Greece. The municipality of Abdera (Modern Greek: Άβδηρα [ˈavðira]) has 19,005 inhabitants (2011). The seat of the municipality is the town Genisea. == History == Its mythical foundation was attributed to Heracles who founded the city on behalf of his fallen friend Abderus. The historical founding is traced back to a colony from...

The joke is that they are not v. smart

A city of fools!

Balarka Sen

I want to have nothing to do with this

skullpatrol

You don't trust me? @0celo7

0celo7

14:05

@skullpatrol I trust no one here

@BalarkaSen what is wrong with you

humor cannot be offensive

skullpatrol

A man who trusts no one is apt to be a man no one trusts @0celo7

0celo7

@skullpatrol I don't think anyone should trust me

I'm a psychopath

Balarka Sen

I am going back to the world of safer memes

0celo7

@BalarkaSen yeh go all de wey

Balarka Sen

Goddamnit

0celo7

14:08

:)

skullpatrol

Where's Sophie when you need her :P

::the good old days::

2

Q: Is mathematics aprioristic?

Is mathematics aprioristic? I do not know. Some axioms of arithmetic and geometry arose clearly inspired by the observation of Nature. After that, those areas of mathematics were often developed with little to no regard to any "real world" implications. Look at this and this.

Balarka Sen

@0celo7 Sullivan likes to diss Gromov so much

evidence

also on 4:08

Slereah

14:23

Balarka Sen

beautiful

where is this from

Slereah

maths.ed.ac.uk/~aar/papers/porteous3.pdf

Balarka Sen

gotta love Andrew Ranicki's website though

Slereah

maths.ed.ac.uk/~aar/baked/index.htm

0celo7

@BalarkaSen dunno who that is

Balarka Sen

14:37

!!

great topologist, great geometer

0celo7

never heard of him

Slereah

14:52

How is the Clifford product defined for non-vectors

Balarka Sen

with gusto

Slereah

What is $ab$ if $a,b \in \Lambda^2V$

Balarka Sen

Do I look like an expert on Clifford algebra

Only plebs do that stuff

$(\infty, n)$-category theory is the best math

0celo7

I prefer $(\infty,\infty)$ theory.

Slereah

I only do $(2\infty, \infty)$

Balarka Sen

14:55

There is an (infty, n)-category of (infty, n)-categories

Not even joking m8

0celo7

I made a great omelette

Balarka Sen

But can you make an infinity-omelette?

0celo7

with enough eggs, yes

Slereah

You can't

It would gravitationally collapse

also the heat would burn it

0celo7

I cook eggs on low heat

that way they stay fluffy

user129412

15:01

Anyone know of any literature that would describe how a S-Nanowire-S junction's critical current/Josephson energy would behave as a function of applied magnetic field, paralel to the wire?

Slereah

'fraid not

Nanophysics generate too much GDP for me

Apparently the simplest way is to pick an orthonormal basis and then $e_i e_j = e_i \wedge e_j$

then you can just use associativity of the product

0celo7

@Slereah do you want to learn some PDE from a physicist

arxiv.org/abs/0908.3205

this is actually a very pleasant paper

Slereah

It's by the Donald

0celo7

there's only 1 line I don't understand -- and it's quite peculiar

the whole paper is so careful and then there's a mystery calculation

@Slereah in any case, reading lemma 3 wouldn't hurt

actually there's a large error, nevermind

Slereah

15:16

Is that existence of harmonic functions

Oh wait no

Just eigenfunction I guess

0celo7

existence of the ground state for a Schroedinger operator

you need to work hard to prove $I(\psi_{k_i})\to\lambda_0$ but other than that it's pretty good

lemma 4 is good too

this is a pretty good riemannian geometry paper

@BalarkaSen ok so what's the best book on 3-manifolds for someone who hates topology

*hates homotopy theory

Balarka Sen

I don't know an appropriate book for you. The only two comprehensive books I know, Rolfsen and Hempel, are very topological

You don't need homotopy theory to learn 3-manifold topology

0celo7

@BalarkaSen is hempel intelligible

Balarka Sen

yes

I also want to study Hatcher's 3-manifold notes at some point

0celo7

I probably shouldn't be getting a 3-manifolds book at this point

need to learn other stuff first

Slereah

15:27

Ah, I was having trouble finding documentation because apparently what some people call the Clifford product is more commonly known as the geometric product

Secret

15:40

2 hours ago, by Emilio Pisanty

Rhabarberbarbara

►

Now play this 1.5 times faster

Slereah

arxiv.org/pdf/1205.5935.pdf

this seems like a decent intro to geometric al-jabars

" Over the years, various parts of Clifford algebra have been reinvented independently by many people who found they needed it, often not realizing that all those parts belonged in one system."

heh

(GAMMA MATRIX ALGEBRA)

Second google result for "axioms geometric algebra" is...

vixra.org/abs/1306.0178

Maybe we should make a fake Vixra persona and publish fake papers

0celo7

@Slereah that seems legit...

Slereah

yeah there's a few vixra papers that are just like

Notes

stuff like that

vixra.org/pdf/1712.0598v2.pdf

this paper

on the other hand

"It is shocking that after this many years of work on the theory of infinite complexity that the associated material calculated and referred to here is not already well known with the entire field of all possible linear nuance being mapped out to the n
th degree. It is surprising that there is no Wikipedia article regarding the modified cosmological model (MCM) or the theory of infinite complexity (TOIC) that spells out all of the trivially derived properties"

Shocking

Secret

15:56

https://chat.stackexchange.com/transcript/message/42220542#42220542
More like tutorial notes for intro to the subject or something wrote by undegrad assignments

as for that other 'paper', it will be out purely from plagarism alone had I be the referee

and let's not talk about the nonsense inside, lol

though theoretically, all pseudoscience are useful in worldbuilding

because they are imaginary

Slereah

"We will use the ontological basis $\{ \hat 2, \hat \pi, \hat \Phi, \hat i \}$ as a noncoordinate basis for tensor analysis but we do not yet require that the 5D set $\{ \hat i, \hat 1, \hat \Phi, \hat 2, \hat \pi \}$ invented in reference [10]"

Transcript for