The h Bar

enumaris

00:01

Yep

Built a collaborative filtering algorithm the other day

bolbteppa

I think what he means is

\begin{align}
L_{\mu}(\partial x, \partial^2 x) &= \dfrac{\partial}{\partial \tau} (\dfrac{\partial \mathcal{L}}{\partial \dot{x}^{\mu}}) + \dfrac{\partial}{\partial \sigma} (\dfrac{\partial \mathcal{L}}{\partial x'^{\mu}}) \\
0 &= L_{\mu}(\partial x, \partial^2 x) \dot{x}^{\mu} \\
&= [\dfrac{\partial}{\partial \tau} (\dfrac{\partial \mathcal{L}}{\partial \dot{x}^{\mu}}) + \dfrac{\partial}{\partial \sigma} (\dfrac{\partial \mathcal{L}}{\partial x'^{\mu}})]\dot{x}^{\mu} \\
&= [\dfrac{\partial}{\partial \tau} (\dfrac{\partial \mathcal{L}(\dot{x},x')}{\partial \dot{x}^{\mu}}) + \dfrac{\parti…

Which is a really weird, though apparently completely general, way of proving the Hessian is zero for two eigenvectors that completely avoids Qmech's proof

bolbteppa

00:53

0

A: How to find the rank of the matrix $\frac{\partial ^2\mathcal{L}}{\partial \dot{X^\mu} \partial \dot{X^\nu} }$ for the Nambu-Goto string Lagrangian?

A general proof applying to reparametrization-invariant actions $$S = \int d^2 u \mathcal{L}(x^{\mu},x_{,i}^{\mu}), \ \ \ \ i = 0,1, \ \ \ \mu = 0,1,\dots, D- 1,$$ is to note that part of the derivation of Noether's theorem (the derivation where you assume the volume element varies also), schema...

Work of art

HsMjstyMstdn

02:20

The absolute legend Jon Skeet hit 6 orders of magnitude of reputation on StackOverflow... When's our own Jon Skeet (John Rennie) going to do the same ??

Lol jk

Although I'm not a very active user, I just wanted to say thanks, @JohnRennie. Your questions, answers, comments, attitude and contributions in general have helped (and continue to help) me in my studies and in my life.

ooolb

02:33

interesting choice of last name

0celo7

skrt

vzn

04:01

@enumaris cool, would like to hear more & think others would too with speaker session in all your copious spare time :P ... ps would be interested to hear what you think of this (or other resident coders/ hackers/ intellectuals/ academics/ scientists etc)

in theory salon, Jan 5 at 2:45, by vzn

secret/ blueprint/ path to AGI: novelty detection/ seeking / Tmachine blog

Kane

04:26

what happens if I take a measurement and get a 1% uncertainty i.e. the value is 500 Hz with uncertainty of 5 Hz. What happens to the uncertainty if I do this: y = 1 / 500 Hz. What is the uncertainty of y?

Secret

in Mathematics, 2 mins ago, by Secret

Therefore, one immediate consequence of being in a universe with a different value of $\pi$ is that you need to use more/less material to build some circle with a desired circumference

in Mathematics, 1 min ago, by Secret

and this can affect the length of rope you need to use for your pulley system, or the number of charges you can place in a storage ring as well meany other things...

Secret

04:50

Last night dream, JohnRennie and I discussed about classical machines. A user then asked him certain questions, which he then posted a picture of some aircraftin a warehouse where its wings are attached with gears and mentioned how this is a counterexample because if the chain of gears are rotated clockwise, then the tri-ponged shaped gear become disengaged and thus not rotating. Only if the chain of gears are rotated clockwise will the full set of gears rotate.

He then mentioned that this is an example of a noncommutative gear system.

A bit earlier in the transcript, he posted a picture showing nonassociative gear systems, where the order of rotating the gears matter in that some gears will become disengaged when rotated in the wrong order

Finally, I asked him about whether there are other examples of simple (classical) machines that has this noncoummatative property as machines like levers, wheels don't have that. Johnrennie then mentioned that he only knew that the ancient civillisation had only ever made one such craft, implying that gears are unique in doing so.

enumaris

05:25

hmm

Secret

The two pictures posted by Dream Johnrennie, reproduced as close as I can with my drawing ability (In the dream, they are actually photorealistic)

(NB Yes, I get the gear size wrong in the aircraft picture, there are actually 8-9 on each wing)

John Rennie

06:49

@SirCumference It depends on the initial conditions. If you start with a Big Bang then only a universe with positive curvature can recollapse - NB recollapse.

If you start with a universe that started in the infinite past with a negative value of $\dot a$ then it will collapse.

Both of the above assume no matter with weird equations of state is present.

you might argue that a universe starting in the infinite past with a zero or negative value of $\dot a$ is a silly initial condition, and I'd probably agree with you. But then a universe starting at a finite time in the past with an infinite density isn't an especially sane initial condition either :-)

Secret

07:11

It is still an open question whether bounded infinite sets and finite time blowups can exist physically in some form in reality

Rick

07:33

How is $\overrightarrow{v} = \frac{\overrightarrow{p}c^2}{{E}_k}$?

My ${E}_k = \sqrt{(mc^2)^2 + (|\overrightarrow{p}|c)^2}$

John Rennie

@Rick It's $p^2c^2$ not $pc^2$

Rick

08:07

yeah..I wrote it as $(pc)^2$

Physics Meta

1

Q: statistics on question types

I have been here long enough to recognize that most of the questions posted here fall into a short list of different classes. examples: obvious homework or exam questions, high-level mathematical physics enquiries, crank/goofball stuff, everyday physics, off-topic (engineering, electronics, etc.)...

discussion

John Rennie

@Rick not in your first equation you haven't ...

Presumably you meant $$ \overrightarrow{v} = \frac{\overrightarrow{p}c}{{E}_k} $$

Oh hang on ...

Slereah

mornin

John Rennie

@Rick OK, ignore me, your first equation was correct

Mithrandir24601

@Slereah ni hao!

John Rennie

08:12

@rick but what are you asking? How that equation is derived?

Rick

@JohnRennie Yes, that first equation

John Rennie

@Rick The quick way is to note that $p = \gamma mv$ and $E = \gamma mc^2$

With a bit of sweat you can show that the two equations for $E$ are the same

Slereah

Well not for massless particles

John Rennie

Oh go away :-)

Slereah

:p

Cows

08:22

Today i found out why people fear apologising. Presumably it can be used as an admission of guilt in court. So people have to say things like "I'm sorry you feel that way" or some other forms of non apology.Incidentally this is why someone may force you to issue an apology to establish guilt. Hmm this sucks because people end up not getting closure. If anyone wants to apologize to me for anything i swear i will not take you to court and we will both feel better. I only pretend to be litigious.:P

The law is pretty powerful

Wow may be i should spend the comming weeks reading law and rhetoric

mtheorylord

can any of you tell me ideals of the ring of countinuous functions?

I know what the maximal ideals are

Balarka Sen

what do you want to know

mtheorylord

well what are they? Are they just subsets of of [0,1]

Balarka Sen

That doesn't make any sense. Ideals of C^0[0, 1] are subset of C^0[0, 1], not [0, 1].

mtheorylord

Sorry I meant are all the ideals just functions that will be $0$ on a subset of [0,1]

Balarka Sen

08:28

I don't think there's any general classification of all ideals of C^0[0, 1]. Maximal ideals consists of functions vanishing at a closed subset of [0, 1]...

mtheorylord

I thought the maximum were vanishing on 1 point

Cows

Reading about preponderance of evidence. It is not what i thought it was. Hmm fascinating

mtheorylord

Not on any closed subset

Balarka Sen

Ah, you're right. Yes.

I am describing intersections of the maximal ideals

mtheorylord

So why wouldn't the ideals be made from vanishing on a subset?

Balarka Sen

08:30

But no, not all ideals of C^0[0, 1] are the ideal of functions vanishing at a closed subset of [0, 1]. Consider the ideal (x^2), generated by the function f(x) = x^2.

Cows

I am definitely going to study some law. I think it's time. I need to know some basics as a geown mature american :P

Balarka Sen

It's a subideal of the ideal of functions vanishing at 0, but doesn't contain many many functions which vanishes at 0.

Namely, any element of (x^2) is of the form x^2g(x) for some continuous function g.

So that's like the functions which vanishes at least upto second order at 0

mtheorylord

When you say generated by x^2 you mean functions that can be written as g(x)*x^2

Balarka Sen

Correct

mtheorylord

right

Balarka Sen

08:33

So yeah there are many many ideals of C^0[0, 1]. It's not a Noetherian ring.

mtheorylord

how would you generate a uncountable subset

Cows

Wow i have to read law. Tomorrow i'm heading to Starbucks with a law book

mtheorylord

from a countable intersection of max ideals

So like the ideal vanishing on [0.3,0.5]

*of functions vanishing on

Balarka Sen

You can't write that as a countable intersection of maximal ideals, indeed.

mtheorylord

So the intersection can be uncountable?

Balarka Sen

08:36

Yep.

mtheorylord

ok

Cows

Do all physics professors read law? I will feel better if they did lolz. Or at least if some of their emails were informed by legal precedent. Hehe. . . The world is changing and presumably people have to look out for themselves too

mtheorylord

THe example with x^2

nevermind

So ideals of C[0,1] aren't isomorphic to open/closed subsets of [0,1]?

Cows

Off to bed now. I am going to try to read law and rhetoric every night as self defence. This will be pretty cool stuff to know, for life in general and to keep out of trouble

Balarka Sen

I don't parse that question. Do you mean to say the ideal of functions vanishing at a subset of [0, 1]?

Well first it can only be a closed set - zero set of a continuous function is a closed set.

mtheorylord

08:40

Oh, right

Balarka Sen

Studying ideals upto isomorphism is also not a very natural thing to do.

You can think about them as non-unital rings and work with isomorphism of non-unital rings but...

I'm curious. Why are you asking ring theory around in the physics chat? ;)

Slereah

0

A: What was the 'quantum mechanics' before quantum mechanics?

The aim of asking this is, mainly, to gain insight on how one may approach a subject as unintuitive as quantum mechanics. Everything's unintuitive until it isn't. Your profile says you're undergrad math and physics, so you'd probably agree that Newtonian gravitation is pretty reasonably intu...

I want to downvote this just because the syntax annoys me

Balarka Sen

@Slereah You >>>downvoted<<< it?

Just for >>> the syntax <<<??

Slereah

NOT YET

mtheorylord

Because the math chat isn't active I dont think

Balarka Sen

08:46

@mtheorylord Not at this time of the day. But it's generally very active

mtheorylord

So there is no bijection from ideals of C[0,1] to open/closed subsets of [0,1]

Weird

Balarka Sen

Right. There is however a correspondence between points of [0, 1] and maximal ideals of C[0, 1].

This can be upgraded to a homeomorphism between [0, 1] and maxSpecC[0, 1]

Where maxSpec(R) is the maximal spectrum of a commutative ring

In general if X is compact Hausdorff, maxSpec C(X) is homeomorphic to X

This has a name, maybe Gelfand's observation or something.

It's one of the motivating examples in algebraic geometry, where you look at the spectrum of a ring instead of the maximal spectrum

(So all the prime ideals)

Slereah

Caffeine headache is coming on

brb dying

I need me some vacation

alas I started my job too recently to get any and no holidays 'til april

skullpatrol

09:10

you must be allowed sick time

take a couple spaced out sick days off around your weekend

Slereah

u need a doctor's note

"The concepts of algebraic quantum field theory were first introduced in a contribution
of Haag to the Lille conference 1957 "

Right in my hometown!

"The crucial mathematical fact is that infinitely dimensional C*-algebras in general have a huge number of disjoint folia."

@ACuriousMind what is the folium

Secret

11:22

Laws of physics on a nutshell: A bunch of correlated phenomenon such that whenever A happens, B happens, and C happens, and you always get D as a result

Emilio Pisanty

0

Q: ???? F=ma With inverse square law gives me a particular solution of Y=(const.) (T to the 2/3 power)?

F=ma , for stuff in free fall, like a tiny particle of little mass m falling into a big mass M , using the 1/ysquare force means you solve dsq y/dt sq = -const/ysqo, which is a well known differential equation and studied in “MASSIVE” detail for over 300 years. Somehow, just diddling around co...

mathematical-physics

ooooof

that could use some attention

particularly on tags

CC @Qmechanic

John Doe

11:37

@EmilioPisanty Hi, just a short question. Do you maybe know how it can be shown that the von Neumann entropy of a joint state of the form
$$\rho^{(AB)} = \sum_k q_i |a_{i}^{(A)} \rangle \langle a_{i}^{(A)} | \otimes \rho_{i}^{(B)}$$ is given by $$S(\rho^{(AB)}) = H(\vec{q}) + \sum_i q_i S(\rho_{i}^{(B)})?$$

Secret

You found a solution to an equation of motion with acceleration dependent on position. You're trying to compare to an equation of motion when acceleration is constant. — StephenG 44 secs ago

definitely not mathematical physics, is it considered homework like?

Nehal Samee

12:11

@JohnRennie how can I explain that an accelerating electron radiates energy...In detail please...

Slereah

what do you mean by "explain"

Nehal Samee

I mean I want to know it conceptually...

Slereah

A dangerous trap

Secret

-6

Q: plzzz i need answer

Using superposition find a) the current through the 4- resistor due to the voltage source b) the current through the 4- resistor due to the current source Draw and label the circuit diagram, otherwise you will lose your marks. Write each step of calculation and also mention ...

homework-and-exercises electronics

Slereah

You're trying to think about modern physics in a way that makes sense in classical physics

Or at least with cute diagrams

Not a great idea in general

But if you really wish to, there's a somewhat intuitive concept for that topic

Involving the breaking of field lines by accelerating charges

Balarka Sen

12:21

@Slereah use homeomorphism to escape

Slereah

@BalarkaSen what if it's not connected

Balarka Sen

work on a connected component presumably

Slereah

@NehalSamee physics.weber.edu/schroeder/mrr/MRRtalk.html

that's about as intuitive as this topic gets

Secret

> Notice that the transverse field is weakest to the right and left, and strongest in the perpendicular directions. As time passes, the shell expands at the speed of light. The transverse field also gets stronger because the gap, between the particle's actual location and the point where it would be, expands

Mind = blown

So... radiation is basically the change in the field lines travelling at the speed of light...

Emilio Pisanty

@JohnDoe not off the top of my head, no

where'd that come from?

Secret

12:35

I had some thoughts on this one, but I need to revise electromagnetism

This "expanding sphere at the speed of light" is convenient in thinking about SR, since the invariance of the speed of light will means I don't need to worry about reference frames

NB. Still find SR and GR less intuitive than quantum mechanics

John Rennie

@Secret you're weird! :-)

Secret

IMO, GR throw a lot of intuitive notions of "distance" out of the window, and my thinking style often relies on being able to map how far concepts are in some parameter space

For example, as the black hole examples showed, I cannot even tell easily how far is point A from the event horizon because that notion depends on which reference frame I am in (and in some coordinate systems, it may not even make sense)

and then you have the bag of gold spacetime, which because it expands so quickly, is practically infinite even through its metric basically said it is some kind of compact region of spacetime

I can of course just go back to the tensor equations to solve them, but computing christoffel symbols take so much time that I have to leave many of my questions on hold because I cannot easily guess what happen via some back of the envelop calculation

hopefully when I finally get back to it, I will be able to develop a better intuition on it

Meanwhile, in quantum mechanics, if anything gone wrong, I can always fall back onto the wavefunction to search for answers, which abstract notions of "distance" will not depends on which frame I am in. In addition, the hilbert space structure makes it a bit easier to figure out where things are thus easier to do some back on the envelop calculations

Or in short: Too many things are changing at the same time in GR, while in quantum mechanics, not many things are changing at the same time thus easier to figure out how to conceptualise the problem

Slereah

12:57

" Curiously, there exist gravitational configurations that possess even larger entropy than a black hole of the same mass, in fact, arbitrarily high entropy. These are the so-called monsters"

Oh no

Monsters and ghosts

I want off this ride

Secret

Do these gravitational monsters behave like black holes? From your description above they basically look like someone took some material from the heat death back to the universe in the present day?

Slereah

If I ever discover a physics thing it will be all ghouls and witches

Secret

(NB I know nothing about the gravitational monster you just mentioned before your post)

Suppose I can take your description literally, these monsters might make very good cooling system as they are basically infinite heat sinks

John Doe

@EmilioPisanty It comes from page 4 of this short paper on "Limitation on the amount of accessible information in a quantum channel".

Slereah

This paper seems to reference a book that doesn't exist

"Relativity, groups and fields"

I think they mean "Relativity, groups and topology"

Apparently Valter Moretti will go to this : qft-horizons.sciencesconf.org

In mine own land

Maybe I should go

I wonder if anyone can attend

"The thin sandwich variation problem"

I wonder if it's related to the Hamburger problem

Kane

13:11

If I had a tube (one end open, one end closed) that had 1st harmonic at 5cm, is it possible to predict the length of the 3rd and 5th harmonic?

Slereah

"Participants are asked to pay a registration fee of 340 EUR upon arrival at the conference center."

Mama mia

Emilio Pisanty

> Venue is possible as soon as on Monday 21st May after 15:00

whut

Slereah

It means you can arrive on monday

Les Houches seems to be where all the cool GR conferences are

0celo7

@Slereah it’s related to the constraint equations

Slereah

I wonder how many huge GR books that are just compilations of papers available nowhere else exist

Emilio Pisanty

13:26

@JohnDoe post it on main, I'd say

Slereah

A lot of mysterious papers seem to be in those

John Doe

@EmilioPisanty Okay I have done so, thanks.

Emilio Pisanty

@JohnDoe yeah, just saw it

two comments

\mathrm{Tr}, not Tr

\ln, not ln

John Doe

@EmilioPisanty Okay will edit.

Slereah

Why not \operatorname{Tr}

$$\operatorname{Tr} \mathrm{Tr} \text{Tr} \mathfrak{Tr}$$

I guess it's mostly the same

Emilio Pisanty

13:29

@Slereah also works

0celo7

@EmilioPisanty I’m reading a paper by two people who’ve been in the game for 40 years and they still don’t know you do \ln in TeX

Emilio Pisanty

@0celo7 yeah, well

0celo7

Or \log, whatever

Emilio Pisanty

other people being sloppy doesn't mean it's not sloppy

Slereah

the annoying thing is that not all functions are there by default

There's not all the inverse functions and hyperbolic functions

Emilio Pisanty

13:32

@Slereah yeah, Tr and tr being pretty annoying examples

Slereah

yeah

Emilio Pisanty

imma start using \mathsf{Tr} just to miff people off

Slereah

I mean, \det is in it

Why not the trace

Emilio Pisanty

$$\mathsf{Tr}(\rho)$$

so wrong

Slereah

yet so right

Secret

13:33

O_O suspending me for something that trivial?

Emilio Pisanty

yeah, that too

Secret

0celo7

Nice

I love flaggers. Keeping my chat Christian

Emilio Pisanty

@Secret hmmmm. I should 'fess up to starring that, probably didn't help.

Slereah

professorconfess.blogspot.fr/2013/06/…

always a fun read

“[That professor]’s math class is hard. You’ll have to come to class for it.”

Secret

13:36

Emilo: ok nvm

In other news, I just did some search on those monster things. Since they are not black holes, if they do exist, they would make really good infinite heat sinks

Emilio Pisanty

@Slereah “The Civil War was inevitable, but it didn’t have to be that way.”

heh

Sir Cumference

Sigh, idiot phone

0celo7

@EmilioPisanty $\mathcal T\mathfrak r\{\rho\}$

Emilio Pisanty

@0celo7 that just made me reload the page to kill the mathjax it was so ugly

still is even just on the plain tex

Slereah

$\mathscr{T}\Re$

Emilio Pisanty

13:42

0

Q: Can anyone explain Quantum Electrodynamics

Can anyone explain qed(quantum electrodynamics) to me? I really want to understand it. But i couldn't find a simple explanation.

quantum-electrodynamics

yeah, good luck with that

Secret

toooooo broad

0celo7

I wonder if I'm allergic to celery

is there some gene that prevents you from liking celery?

Secret

and something at that level cannot be simplified without introducing inaccuracies

Slereah

the smart gene

0celo7

it always tastes awful

Slereah

13:44

The hell is $\wp$

0celo7

weierstrass

Slereah

Oh

Secret

Celery literally taste like plastic bags

0celo7

I feel sick

I had it with hummus but it was still bad

Slereah

I thought you were a comical American stereotype

why didn't you eat burgers

0celo7

13:48

@Slereah why would anyone think that?

Slereah

the words from your mouth

I just imagine you in a cowboy suit shooting guns in the air

0celo7

I hate cowboys

Slereah

Oh no @0celo7 hates America

0celo7

slander

I should update my laptop's OS

it's a few years old

Slereah

Don't you fool

are you gonna get windows 10

0celo7

13:52

I have Win 10 on my desktop

it's better than Win 8.1

I want to update my OSX to whatever the newest is

High Sierra

Secret

Transmission: ""Decrypted""

Slereah's response probability is still erratic

More observation needed to devise next action

Slereah

14:11

" I’ve seen it far more times than I can count: a kid walks onto campus, picks a tough STEM major like Engineering, then, after seeing he can’t cut it there, switches over to something less challenging (but still hard) like Chemistry or Pre-Med. Then after flunking those classes, changes major again and again, until finally getting a degree in Theatre or African Studies or Gender Studies or well, something not exactly associated with high difficulty…or pay."

>engineering

>hard

"students who major in African Studies on day 1 of college generally don’t switch over to Engineering nearly as often as the other way around."

Secret

Igorrr "Savage Sinusoid" (FULL ALBUM)

►

The hell is the first track?

Does not sound metal, but there is a lot of screaming

Slereah

"In several ways, mathematics is actually an easy discipline: you don’t have to write papers, reading assignments are a few pages at most, and you usually don’t even have homework. All you need to do in mathematics is understand…"

Qmechanic

@EmilioPisanty : Indeed. Misuse of the math phys tag, for starters.

Balarka Sen

14:38

@Secret Igorrr is kinda experimental.

It's not really metal, but there are influences here and there

Secret

It has a very brutal vibe to all the songs in the album (along with some kind of sadness). I don't think I will like to listen to them in a normal mood.

(My current mood is a bit frustrated because I am trying to piece together some code I wrote in the past in order to update and clean it up)

The sad sounding piano is good though with some classical victorian impression

IMO, Music only sound good when one is in the correct mood

0celo7

15:01

all my classes got canceled

what a joke

Slereah

Snow?

Or is there a missile alert

0celo7

like a half inch of snow

skullpatrol

Over just a half inch?

0celo7

it's the south

people lose their minds

Secret

Opus 97 - 'Elegant Insanity' Dark Brutal Neo-Baroque Harpsichord (Original Composition)

►

This guys is good at castle sounding music

0celo7

15:06

sevilla has lost her mind

skullpatrol

who's that?

Secret

in The Factory Floor, Jan 8 at 14:53, by Green

@Secret I found an article last week that discusses the idea that we are about to enter a dark age. https://www.ribbonfarm.com/2017/11/30/prolegomena-to-any-dark-age-psychohistory/‌#more-6143

Trump will lead us into the 2nd Dark Age

0celo7

Servilia of the Junii

Servilia of the Junii is a character from the HBO/BBC/RAI original television series, Rome, played by Lindsay Duncan from 2005 to 2007. The mother of Marcus Junius Brutus, lover of the married Julius Caesar and enemy of Atia of the Julii, Servilia is depicted as a sophisticated and regal Roman matron who follows her heart to her detriment. Betrayed by love, and hungering for revenge, she slowly becomes as cruel as those she would destroy. Servilia is loosely based on the historical personage of Servilia, mother of Marcus Junius Brutus, and lover of Julius Caesar. == Personality == The HBO website...

skullpatrol

thanks

Slereah

is there a name for the dumbest GR star

Hydrostatic pressure fluid star

Phase

15:12

really dumb notation question but

0celo7

I have a bruise on my toe

wonder how I got that

Balarka Sen

there are people who don't even have toes

you big baby

0celo7

it's been there for like a week

Phase

when you have an IVP, should I avoid writing $y(x) = f(x) + k$ and instead write that $y(x) \in (g(x):g(x) = f(x) + k)$ for $k\in R$

im sure my notation for the set thing is atrocious but

0celo7

IVP?

Phase

15:14

hopefully my question makes sense

initial value problem

0celo7

I have no idea what you're talking aboot

Slereah

first one is fine

Phase

It seems shitty to say that the function i'm looking for is "equal" to a family of solutions

oh ok

Balarka Sen

yeah you dont have to be that rigorous

Slereah

Also if you want to write a family of solutions don't include the argument

Phase

15:15

whaddaya mean?

0celo7

wtf are you people talking about

Slereah

$$y \in \{ g | g = f + k \}$$

Phase

Oh

Slereah

Typo

$y$ is the function, $y(x)$ is a real number

Phase

Fair, im still new to a lot of these notations and rigor aha

Which brings a second question

0celo7

15:16

...

wtf is going on

Phase

is it a sin to stipulate that like, $k\in R$ in the brackets?

Or should I put it outside

0celo7

can someone tell me what's happening

Balarka Sen

no

Phase

@BalarkaSen is it worth losing a single mark for a meme

0celo7

oh dear god the romans were crazy

Phase

15:21

I cant resist

Balarka Sen

sigh

Phase

that makes it all worth it

Secret

The recent instability in h bar is caused by that one source of weirdness decline

0celo7

@Secret what on earth are you talking about

Secret

As things become less weird, so do its existence

Phase

15:24

@0celo7 can you translate for me

I left my secret $\to$ english dictionary at home

Secret

@0celo7 To 1st order, rambles due to frustation in coding

To 2nd order: Slereah

To 3rd order: ???

0celo7

yeah, @Slereah

what did you do

Slereah

I'm innocent of whatever he's rambling about

Balarka Sen

Secret is writing an anime script

I want to watch this fantastic anime

Phase

I want vzn and secret to write an anime

Balarka Sen

15:33

same

Phase

Secret can handle the Metal Gear solid tier exposition with the mind bending plot

and VZN can add the <- subtle implications that give it deeper context

0celo7

nanomachines

Phase

"I have a dream"

That was the best part of Metal Gear Rising tbh

0celo7

la li lu le lo

Balarka Sen

I stopped watching a MGR playthrough after 30 minutes

it's too much for my brain

Phase

15:35

Nah man it's glorious

Just switch your brain off

enjoy the gameplay and the memes

@Secret when Im done with exams I kinda wanna draw a comic for fun, so if you have any crazy ideas lmk

Secret

Well, I have so much things I want to do, but before this stupid script bundle is dealt with, I will be too guilty to procrastinate

Slereah

Is this the metal gear

0celo7

there was an invincible vampire

quite a strange thing

Phase

Vamp is quite strange

even stranger is how he was just so over-the-top gay for Raiden

turns out he's romanian

"According to Solid Snake, his name is not a reference to his vampire-like behavior, but to the fact that he was bisexual." from the WIKI @0celo7 what is this

0celo7

lmao

Slereah

15:52

What's a $C^\infty$ vector bundle

Are there vector bundles that aren't $C^\infty$ modules

Well, I suppose $C^k$ is a vector space

0celo7

@Slereah that statement makes no sense

Slereah

Which part

Oh no, partition of unity proof

It never ends

0celo7

@Slereah haven't you seen those a dozen times

should be able to do it in your sleep

Slereah

it is fine

$C^\infty$ vector bundle is just a vector bundle such that the product of a smooth section by a smooth function is still a smooth section, right?

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