#serious-discussion

1 messages · Page 137 of 1

pulsar pagoda
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honestly

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u didnt share specs

jagged forge
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uhh quad core at 3.4ghz…. that’s it because i bought it barebones

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lol

pulsar pagoda
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4 logical cores 4 physical?

jagged forge
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it has a pci x8 slot that is really x4

visual breach
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I mean F# still did not manage

jagged forge
pulsar pagoda
untold sapphire
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have you heard of coq

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like unironically

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have you heard of coq

pulsar pagoda
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yes

visual breach
jagged forge
visual breach
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It's just, many mathematicians would simply go for lean nowadays

untold sapphire
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have you heard of like, the proof of the four color theorem, the proof of the Feit-Thompson odd-order theorem

pulsar pagoda
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right now im working on integrating fpga

untold sapphire
pulsar pagoda
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to a HPC clusters

untold sapphire
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you're reinforcing the hype

pulsar pagoda
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thats funded by the gov

visual breach
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I am simply stating that lots of resources are focused on lean.

pulsar pagoda
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like im documenting how the stuff works and its supposed to be used

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in the HACC cluster from eth

visual breach
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After all, ecosystem is quite important.

jagged forge
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how much do u think that fpga costs

pulsar pagoda
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so that a pepeg with a salary can replicate it

pulsar pagoda
small dust
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@ moderators devastation

pulsar pagoda
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wait

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actualy the alveo u250

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is like 11000

visual breach
jagged forge
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bro i looked up 40 gigabit Ethernet switches and the first one i saw was $15,000

visual breach
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It will keep rolling on by itself..

jagged forge
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what if i just don’t buy a switch

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and get quad port network cards

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and then wire up 5 machines directly to each other

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20 cables kekw

pulsar pagoda
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bad idea

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latency

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would kill u

jagged forge
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why

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they are all directly connected to every other

pulsar pagoda
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theres a lot of networking involved on getting those 4 pcs working as one

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like a cluster

jagged forge
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hmm

pulsar pagoda
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u would be better off taking old fpgas and buying an old server rack

untold sapphire
# visual breach After all, ecosystem is quite important.

bro how big do yo think the ecosystem of a 30 year old language is compared to a language fueled purely by hype is
Lean 4 is completely not reverse compatible with Lean 3 so there's not any ecosystem for Lean that's older than like 2 years

pulsar pagoda
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and its also the reason cpp > rust

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anyday

visual breach
pulsar pagoda
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its about time on the market

untold sapphire
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There is so much more coq code out there than lean code for obvious reasons

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You cannot possibly pretend that a language which has only existed for 2 years has a better ecosystem this is what i mean by feeding into the hype

visual breach
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Well,

As a mathematician I found few Coq learning resources which were suitable for me; the resources all seemed to be focussed on people with a computer science or type theory background.

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I just found this ^

untold sapphire
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You posted a Kevin Buzzard post

visual breach
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Yes.

untold sapphire
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which I fucking KNEW YOU WOULD DO

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HE LIES

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HE LIES CONSTANTLY

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HE IS ATTACHED TO LEAN AT THE HIP AND HE CAN'T HELP BUT SHILL IT EVERYWHERE ELSE

visual breach
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Yes.

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Sadly world cannot move without this kind of hype

untold sapphire
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Anybody who thinks Kevin Buzzard should be taken seriously does not know what they're talking about. He has said more easily disprovable/false things about other theorem provers than i can count because he wants to sabotage them to promote lean

visual breach
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Isabelle/HOL, which uses simple type theory, is currently the leader in late 19th and early 20th century analysis.
Nvm, I forgot this one

pulsar pagoda
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tbh

visual breach
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Anyway idk if Coq is used by mathematicians to formalize math nowadays

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Like where is the mathematical formalizations, other than working with finite stuffs?

untold sapphire
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Do you think this is all "finite"

untold sapphire
visual breach
untold sapphire
visual breach
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It is still in the works, I felt, when I used it.

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..Are you seriously going to refer to HoTT

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I guess Category stuffs makes sense but

untold sapphire
visual breach
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Wdym 'non-mathematician'?

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I mean I am just a grad student but

pulsar pagoda
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i think hes saying this cause ryc called me a crank as a joke the other day for mentioning HoTT

visual breach
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I know profs around this area.

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Yes.

untold sapphire
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In what field

visual breach
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Well just beginning research, but digging through algebraic geometry and knot theory

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Got in as an assistant in a knot theory lab

untold sapphire
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I realize i'm coming on pretty strong in attacking you but I really don't like what you're doing by assuming at every point that Lean by de facto has the upper hand over competing proof assistants. I don't think it's a scientific way to have a conversation

visual breach
untold sapphire
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Like I take it pretty personally that people just dismiss other software projets out of hand because Lean has all the hype

pulsar pagoda
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i think i convinced u the other day

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python is a cult

visual breach
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Well, I mean, part of this is from dissatisfaction about that exact library

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mathcomp-analysis

static loom
visual breach
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So yea, maybe lean is not up to par with even this

untold sapphire
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I have written a lot of Coq code that I put work into and I really don't like the idea that we should just trash coq because kevin buzzard said so. i'm not going to buy that argument and i'm going to call out anybody who says this

untold sapphire
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Like i'm not going to let my code become consigned to the dustbin of history because kevin buzzard is a hype beast who relentlessly shills lean

visual breach
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I kind of do not like how coq devs are not making any kind of compromises tho.

untold sapphire
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Also do you understand what subject reduction is

visual breach
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Nah, I would rather just use stuffs than understand the inner workings.

untold sapphire
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Ok, that's fine. What compromises do you think coq devs should make.

visual breach
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Not compromises per se

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Subject reduction is nice to have, from what I recall.

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So if quotient types can be managed ergonomically with it, it will be great

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It was a few years ago, but I had hard time trying to implement a quotient type..

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Maybe it is much better now?

untold sapphire
# visual breach It was a few years ago, but I had hard time trying to implement a quotient type....

First of all. subject reduction refers to the property that an expression like "2 * 3" can be well-typed (it's of type N) and after you simplify it to "6", it's still well-typed and its type is still N. Lean fucks this up so that you can have an expression which passes the type checker as being well formed but after you simplify it, it converges to something which is not well-typed. This is really hard to debug as you literally didn't do anything wrong, the type checker told you your proof or definition was fine, but then after you let the simplification tool normalize it to the simplest form, the type checker suddenly complains that it's not well typed anymore. And you're supposed to be able to treat definitionally equal terms interchangeably in any context, and there are lots of things that automatically simplify and normalize expressions, so the fact that these commands can suddenly break your proof for no clear reason is bad, and that's why the Coq developers didn't want to compromise on that. If 2 * 3 is well typed of type Nat, then 6 should also be well typed of type Nat.

Another thing that is helpful here to understand is that part of the research subject of homotopy type theory is about how to incorporate quotient types into type theory without breaking subject reduction. The concept of "higher inductive type" is exactly about this. I understand you don't think homotopy type theory itself is relevant to you, but normal mathematicians can use homotopy type theory without understanding it just like you can use Lean or Coq without understanding its inner workings.

visual breach
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I mean, how do you use quotient type with this homotopy type theory stuffs?

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(Quotient set would be nicer, even)

untold sapphire
untold sapphire
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Homotopy type theory is also compatible with the law of excluded middle and the axiom of choice

visual breach
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Can you give a concrete example of defining quotient type?

untold sapphire
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Inductive quotient (A : Type) (R : A -> A -> Type) : Type :=
| proj : A -> quotient A R
| relate : forall (x y : A), R x y -> proj x == proj y

This is Coq-like syntax

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The Coq-HoTT library includes something like this to let you axiomatize a quotient type

visual breach
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Hmmm, interesting that this works

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Does it mesh well with mathcomp?

chrome heath
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I remember you

untold sapphire
# visual breach Does it mesh well with mathcomp?

No. math-comp uses all features of Coq but the Coq-HoTT library restricts itself to the features of Coq that are compatible with homotopy type theory. There is a lot of interesting mathematics in the Coq-HoTT library but like, realistically Coq is mature and we don't want to break existing features so Coq adapting to homotopy type theory will be slow. I mean, it is happening in some minor ways. For example Coq added a feature called SProp recently which is similar to Lean's proposition type, and it is compatible with the univalence axiom, but it will take time for things to grow to support that, there's not really any code in the Coq-HoTT library right now that uses SProp (although i have written some personal code, I haven't merged it with the repository.)

Agda is a lot smaller language and they are fine with adding experimental features that can be turned on with a compiler flag. Agda supports something called "cubical homotopy type theory" which in particular has good support for quotient types.

visual breach
untold sapphire
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@visual breach Sorry i'm being nasty to you, I apologize for my words earlier

chrome heath
visual breach
untold sapphire
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There's agda-unimath

visual breach
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Well, not problematic, but in 'I cannot wait' kind of way.

visual breach
untold sapphire
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Are you talking about the community at large incorporating it or incorporating it into your own work

visual breach
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So I am worse in some sense bleakcat

visual breach
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I am not skilled enough to incorporate it into my work without much guidance.

untold sapphire
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Yeah I see. It's hard

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I had difficulty with it too at first.

jagged forge
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but yeah the point is to have a cluster even if it’s worse than a bigger server machine

pulsar pagoda
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u want to set up a home lab?

jagged forge
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no i just want to test out kernel bypass and rdma and that stuff

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home lab would be cool but I don’t have a use for one

neat lintel
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Where is the language that is strictly finitist in terms of memory & storage, also lenght of computation (i.e. always forcedly halts)?

jagged forge
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what makes a language finitist in terms of memory and storage?

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guaranteed a finite amount of memory used?

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well, that ought to be true if every program halts

neat lintel
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there are programming languages that have been designed with the goal of being memory-safe and predictable, like Rust

jagged forge
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and definitely not free from memory leaks opencryfried

neat lintel
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not strictly finitist in terms of computation length

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Idris?

jagged forge
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Lean also has a “total” fragment that terminates

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apparently necessary for languages with theorem provers

neat lintel
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turing proved the halting problem undecidable

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virtually all programming languages are turing complete

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@untold sapphire You should check out assembly language step by step programming with linux. Best book on learning asm programming and the author is awesome

untold sapphire
untold sapphire
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Probably there's a switch you can flip that lets you write infinite loops but otherwise the compiler tries to check that all your computations halt

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As far as I know there's no interesting logics which are both consistent and Turing complete.

neat lintel
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One could have a programming language which always halts higher level programs on top of Turing complete hardware. The higher level programming would not be Turing complete except in sense that it might be possible to always increase the time before halting manually.

In a strictly finitist language there might be always an m, the highest possible number or longest possible string. There's an information limit for maximum program size, maximum size of the process a program can generate (for example recursion takes space because all the previous calls are stored in memory), and other such limits.

I have not yet grappled with this to be technical. The point seems to be as obsessive about making things finite as possible. Kolmogorov complexity & such things may be useful.

A good finitist system would also not have common (set theoretic) paradoxes and would have way to prove its finitism (possibly allowing the same proof assistant to be used for something else too). Typing is how this would be achieved.

ocean harbor
tepid marlin
rocky shuttle
pulsar pagoda
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sounds Nice if we ignore theres no such thing as turing complete hardware (since theres no infinite memory)

neat lintel
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The idea is that the language, built on top of lower level of abstraction, can prove it will force its programs to halt.

vernal token
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Apparently, Erdös only filled 10 notebooks during his lifetime

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I really wonder what type of large notebooks he used

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Those must've been 10.000 pages each

raven plaza
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Bro headsolved

river moon
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he kept the rest in his memory🧠

vernal token
river moon
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indeed I figured notebooks stop working after you fill out 4-5 A4 notebooks 80 pages each

vernal token
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It was reported that he would most of the time be seen with his notebook under his hand

river moon
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you spend more time writing down stuff than it takes effort to understand ithmmCat

vernal token
fair mural
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sounds like he filled more than 10 notebooks

prisma plinth
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i don’t use notebooks

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Lol

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or when I do i don’t write down much, mostly exercises or basic shit the rest I do in my head

vernal token
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I think he's a pretty reputable source

vernal token
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He might've right away written his stuff up as papers, not counting into his notebooks

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Also yeah, he might've used plain paper too

last creek
prisma plinth
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i do that

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Not notebooks, i usually scribble down ideas on paper, napkins and shit and they are strewn about my room lmao

vernal token
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On many of his pictures he writes on loose paper

neat lintel
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One of the cool uses of assembly is in software reverse engineering

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You decompile a binary back into assembly instructions and then can make sense of how it works

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I took a class on that in undergrad and it was a lot of fun.

untold sapphire
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@neat lintel That makes sense. I have a bachelors degree in electrical engineering and I took several classes in computer organization and design and computer architecture. So I understand how assembly code works, and how a CPU works. I just don't really know systems programming proper, like, how to roll my own malloc or write an operating system.

neat lintel
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ah, ok I felt like you knew too much about computers for a math major

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writing an operating system is a big task

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from scratch, get an OS to boot would be like a very difficult graduate level class

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the dinosaur book is the most iconic operating systems text book. If you want to write OSes start there, and then just read every other book you can get your hands on. There is an awesome website dedicated to what you’re trying to learn

neat lintel
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Really, you want to start writing code

untold sapphire
# neat lintel That textbook you’re reading is on computer organization and design. If you have...

https://www.powells.com/book/computer-systems-a-programmers-perspective-2nd-edition-9780136108047
I agree that it covers computer organization and design but I do think it is an adequate text for learning about systems programming. I can name at least two undergraduate curriculums that use this as the course textbook for a course on systems programming, although the coursework and assignments may diverge from the book.
I just googled "systems programming textbooks" and this was the first hit.
https://www.reddit.com/r/rust/comments/j7p7or/best_bookmaterial_for_people_who_want_to_level_up/

Reddit

Explore this post and more from the rust community

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I think maybe if you look at the exercises which are traditionally given with the course you will see why people consider it a systems programming course

untold sapphire
neat lintel
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It’s just got a picture of a dinosaur on it

untold sapphire
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Yeah, I found it from a google search.

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Similar to "The dragon book" in compilers

neat lintel
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yep

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I’m sure it’s adequate

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OS books will be similar

untold sapphire
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Ok, cool.

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I don't need to learn systems programming urgently right now for a project at hand or something lol it would just be nice to know.

neat lintel
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Similar in terms of in the book projects. I still think for writing assembly nothing compares to that assembly book. C in a Nutshell is more a desk reference, not something you read cover to cover.

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In my OS class I wrote parts of an operating system

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like a file system, scheduler, some other little things

untold sapphire
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it contains some exercises where you implement some fragments of a basic os but like

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it doesn't presume a lot of background konwledge and it's meant to be bite sized glimpses of everything

neat lintel
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Operating systems is one of the most deeply technical topics in computer science

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Having a math and EE background is pretty perfect for that

untold sapphire
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It seems really interesting. It's definitely a gap in my knowledge it would be good to fill

main mantle
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systems programming is fun

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not that i know much about it haha

glass peak
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Need to get a new gaming mouse but I’m faced with a tough choice

Do I get the gpro super light which is currently cheaper and better but white or the more expensive normal gpro which is black and will match the rest of my setup lol

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True dilemma

bright hill
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marginal performance benefits would never out match "sticking out like a sore thumb"

glass peak
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This is a good point, I also don’t no life CS anymore so I guess that I don’t need every bit of performance I can get

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It is also £10 more for the worse version which is just meh

glass peak
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Decided to just bite the bullet and spend £30 more than the white one to get the better version in black bleakkekw

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I don’t even really know why, my current mouse is kinda broke but I hardly have time to play games anymore anyway

pulsar pagoda
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i have it

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i dont like it

neat lintel
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three easy pieces is free too

loud snow
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The world still has a lot of technological development ahead

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The field of IT is yet to be standardized and perfected in its final form

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Distributed systems goes beyond IT though

neat lintel
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@reef carbon

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Evaluating the double series: $I = \sum_{j=0}^{\infty} \sum_{k=0}^{\infty} 2^{-3k - j - (k+j)^2}$\
\raggedright let's use a change of variables : $m = k+j$\
\centering $I = \sum_{k=0}^{\infty} \sum_{j=0}^{\infty} 2^{-3k - j - (k+j)^2}$\
\raggedright we can switch between the sums freely:\
\centering $I = \sum_{k=0}^{\infty} \sum_{m=k}^{\infty} 2^{-2k - m - m^2}$ = \sum_{m=0}^{\infty} \sum_{k=0}^{m} 2^{-2k}. 2^{ - m - m^2} $\
\centering $I = \sum_{m=0}^{\infty} 2^{ - m - m^2} \sum_{k=0}^{m} 2^{-2k} $ \
\raggedright We simpilfy the geometric series to ease dealing with the rest:\
\centering $\sum_{k=0}^{m} 2^{-2k} = \frac{1 - \left(\frac{1}{4}\right)^{m+1}}{1 - \frac{1}{4}} = \frac{4}{3}(1 - \left(\frac{1}{4}\right)^{m+1}).$\
\raggedright By substituing the sum into $I$ we get:\
\centering $I = \frac{4}{3} \sum_{m=0}^{\infty}(1-2^{-2(m+1)}) 2^{ - m - m^2}.$ \
\centering $I = \frac{4}{3} \sum_{m=0}^{\infty}(2^{- m - m^2}-2^{- m^2 - 3m - 2}) .$ \
\centering $I = \frac{4}{3} \sum_{m=0}^{\infty}(2^{- m ( m + 1)}-2^{- (m+1)(m+2)}) .$ \
\raggedright let's view this as a telescopic sum of a sequence:\
\centering ${w_n} = 2^{-n(n+1)}$ and ${w_{n+1}} = 2^{-(n+1)(n+2)}$\
\raggedright Thus: $I = \frac{4}{3} \sum_{m=0}^{\infty}({w_m} - {w_{m+1}}) = \frac{4}{3} .({w_0} -\lim_{m\to\infty}{w_m})
$\
\raggedright and so we get : \
\centering $I = \sum_{j=0}^{\infty} \sum_{k=0}^{\infty} 2^{-3k - j - (k+j)^2} = \frac{4}{3}$\
\hfill$ \blacksquare$ \

fathom swallowBOT
#

Nebula ✨
Compile Error! Click the errors reaction for more information.
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reef carbon
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hm

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so there is some trickery that does it, i guess.

neat lintel
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Yeee

onyx ridge
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hi can someone help with an integration question

quasi jettyBOT
tropic mica
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I’d like to ask y’all about the ceremonial ritual I need to do to pass calculus exam

hidden isle
#

ε

long matrix
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<@&268886789983436800>

median sentinel
#

If U and V are two open sets in Euclidean space, U and V are homeomorphic to each other, how can I prove that there're an open ball A⊂U and an open ball B⊂V, such that A and B are homeomorphic to each other?

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In short, homeomorphic open sets in Eclidean space contain homeomorphic open balls

median sentinel
raven plaza
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If they be different dimension, then they not be homeo

plain owl
raven plaza
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?

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Oh

vapid ridge
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hi everyone

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is rubbing alcohol better than water and handsoap?

gentle granite
vapid ridge
gentle granite
gentle granite
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This is not medical advice.

vapid ridge
vivid halo
vapid ridge
vivid halo
#

there are certain germs that hand sanitizers don't kill but soap and water does kill them

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also any actual dirt/heavy metals/whatever gets removed by soap and water and not by hand sanitizer

raven plaza
#

Wash your hands with bacteriophages

glass peak
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There’s also the fact that like soap is easier to spread around everywhere, rubbing alcohol would only kill germs where you get it exactly. Soap kinda flows all around

vapid ridge
tired briar
#

can i ask in here???

vapid ridge
surreal wave
#

Are these the same thing?

#

SCIENTIFIC COMPUTING
Machine numbers and arithmetic, error analysis. Nonlinear equations. Review of linear algebra: norms of vectors and matrices, scalar product. Solving linear systems of equations with direct methods. Approximation of data and functions: polynomial, piecewise polynomial, trigonometric and FFT interpolation, spline functions; Parametric splines and Bezier curves and B-splines. Solution of overdetermined linear systems and least squares: the normal equations, the QR method and the SVD singular value decomposition. Some applications of SVD.

NUMERICAL ANALYSIS
Analysis of errors in computational processes: inherent and algorithmic error, conditioning of computational problems, machine numbers and operations, algorithmic error analysis, forward stable, backward stable, unstable algorithms.
Numerical linear algebra: vector and matrix norms, matrix calculus.
Notable algorithms for solving linear systems. Remarkable matrix factorizations. Spectral and singular value decomposition. Iterative methods based on stationary linear iterations. Least squares problems.
Numerical resolution of nonlinear equations and systems.

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I'll be studying scientific computing next year (computer science major), I was thinking about taking numerical analysis as an elective as I want to study data science & AI next. But I'm not sure if the two courses are on the same topics or not

deep mango
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you could definitely learn the differences on your own relatively quickly

surreal wave
vernal token
#

Erdös found a grapefruit. He looked at it and looked at it and got a butter knife. "It can't be by chance," Graham explained, "that he so often used the dull side of the knife, trying to force his way through. It'll be squirting like mad, all over himself and the kitchen. I'd say, "Paul, don't you think you should use a sharper knife?' He'd say, `It doesn't matter," as the juice shoots across the room. At that point I give up and cut it for him."
-Hofmann opencry

vapid ridge
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hi everyone, who has used excel here

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and knows the ins and outs of it

vocal vessel
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Just ask

vapid ridge
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so uh

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essentially, i wanna use 5 cells to rng, but the whatever the sum of that rng will still be 100 all the time

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=PRODUCT(RANDBETWEEN(0,100) * 1/5)

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here is what i have so far

vapid ridge
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All solved thanks

light needle
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@tranquil zodiac lets talk here

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so you dont need a lot of physics to do quantum computin

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fact is we kinda abstract it all away

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essentially all you need is comfort with linear algebra

tranquil zodiac
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Right, I don't want to waste time studying classical physics if it's not really necessary.

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I just don't know if it is a requirement for understanding quantum mechanics(and do I need to go through that?)

light needle
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I do think its something you should eventually understand

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but the answer is no, you dont really need to understand quantum info

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mechanics*

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you can kind of black box it, and consider it a new set of rules under which you do computing

tranquil zodiac
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Cool.

light needle
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see if you are comfortable with this

tranquil zodiac
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Thanks for the link, I downloaded it.

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I'll definitely go over it

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Do you think we're going to see quantum computing explode soon?

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I have a feeling like quantum computing is going to take over and I sorta want in on it. Plus, it's super interesting.

light needle
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eh I dont really work on hardware and stuff, it seems promising for sure

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Its definitely a good investment to learn this stuff

tranquil zodiac
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What's sort of the 'next level'?

light needle
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theres some other notes here, i'd recommend reading all of them

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and actually maybe just check out the course at large

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next, you pick whatever you found interesting here and research more on it

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this is specifically quantum info btw, doesnt touch on hardware, physical implementation etc

tranquil zodiac
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Nice. If I don't understand some of the math components I can fill the gaps like so.

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Yeah

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I mean, I don't do hardware stuff in CS either

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I mostly focus on AI.

light needle
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right makes sense

tranquil zodiac
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It's honeslty just super shrouded for me

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I just don't know what the potential is

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thanks a lot @light needle

light needle
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mhm

tranquil zodiac
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is it OK if I hit you up sometime in the future?

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I'll probably go into it in a few months once I'm done with my Masters thesis

light needle
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eh if you have questions you should just ask in the appriopriate channels, but im also free to chat

tranquil zodiac
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Thanks!

sonic sentinel
#

microwaves sound like something a child made up

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"my food takes too long to get ready what if I could have a machine that heated the food like really fast but then also you can't put aluminum foil"

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there's no way microwaves are real

vernal token
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Like it's more healthy to heat food on the stove than with a microwave

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Or atleast so I've been told

leaden torrent
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theres nothing wrong with microwaves as long as your food is actually fully cooked

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its just easy to be lazy with them and not fully cook your food

vernal token
loud snow
loud snow
alpine comet
vernal token
loud snow
#

Naah

#

Bacteria still develops on cooked food

#

Its everywhere lol

vernal token
loud snow
#

Thawing doesnt

vernal token
#

Yeah, that's why I said, if you just thaw with the microwave and then cook, it should be fine

loud snow
#

Have you ever recooked your food ?

vernal token
#

I don't really cook, looking at this from a very theoretical viewpoint opencry

loud snow
#

Lol nerd

#

But yeah you can attempt to recook food

#

It really depends on what it is

#

But most times its gonna taste like shit or be inedible, there isnt too much room for error between recooking and reheating

vernal token
#

Rebaking old bread apparently makes it soft again

loud snow
#

Yea

#

Reheating does that too

vernal token
#

Thawing deepfrozen bread in the microwave and eating it right away afterwards makes it taste very muddy and weird (not bad)

loud snow
#

I never froze bread

alpine comet
#

Maybe it depends on the bread?

#

It works well with baguette

velvet dagger
#

French bread I find quite painful to eat somehow

#

I know I know

#

Heathen

#

But still

#

@alpine comet especially Parisian, you get what I mean right?

loud snow
#

Actual baby wth

#

No teeth?

uncut trail
#

Is there a convention you should use when splitting multiple lines of equations in latex, with a comma or something?

#

For example, you have something like this image which uses nothing to split the equations (no comma)

#

But then, you could do something like this and add the commas

#

to me it is kinda jarring when separating multiple lines in say an align* environment is not consistent (the two images are a part of one solution), so I was wondering what people mostly use to separate multiple lines

neat lintel
cinder zephyr
#

IMO in that first pic there should be a comma after the pr

#

I view equalities, even when chained, as single objects that are not separated by a comma

uncut trail
#

yeah I'd agree with that

#

riiiiiiiiippppppppppp

#

gotta change so many equations now

strong elm
#

hi

rain plume
#

do any of you believe in god?

warped venture
#

yes

rain plume
#

Why?

warped venture
#

kai cenat is my god

#

he has so much skibbidi rizz

rain plume
#

okay are you 12

#

and also whats skibbidi

visual breach
rain plume
#

I have no idea

vast surge
rain plume
#

well i used to belive in god but now that i think about it i dont anymore

tribal jetty
#

Didn't know it was possible to draw on desmos

rain plume
#

it is

tribal jetty
#

I'm about to go troll a religous server

rain plume
#

cool

fair mural
tribal jetty
#

I failed

rain plume
#

well then

#

what server

#

im real good at this kind of thing

visual breach
#

monkey why are you guys doing this

rain plume
#

for fun

#

what other reason is ther

fair mural
#

do something productive

#

instead of annoying random people on the internet

vast surge
ionic star
#

trolling is a hobby, it's like asking why collect comic books or something

#

"do something productive instead of taking ownership of printed copies of illustrated stories"

tribal jetty
#

But tbh I was gonna do it cause I'm Atheist and wanted to see their reactions

vast surge
#

Christ that's obnoxious.

#

I'm not particularly religious, but live and let live. If they're not bothering anyone, leave them alone.

#

If they are bothering people, then there's better ways to deal with it than trolling.

visual breach
#

Like I would see the point if they are knocking into your door and try to convert you rn

#

But well, why visit them voluntarily and do that?

vast surge
#

Sure. I'm also fully in favour of fucking shit up if they're a homophobic church or something (the gay house next to the Westboro baptist church is amazing). But if they're just a religious server not bothering anyone, that's just ridiculous.

visual breach
#

Does US church really harass lgbtq+ people

#

I just, cannot believe it

vast surge
#

Some do! Christianity in America is split across about a hundred or so denominations that all have differing opinions on queer rights.

visual breach
#

Ah, so there are just too many

#

Still, I can only imagine up to being against same-sex marriage

vast surge
#

Some are more than willing to perform gay marriage and ordain gay ministers. Some actively want me dead! And just about any stance in between is held by some church or another.

visual breach
#

I see

vast surge
#

(I should clarify, I am a gay)

visual breach
#

No offense, but tbh I see the point of being against same-sex marriage, its tradition is connected with child birth

visual breach
vast surge
#

I'm opposed to same-sex marriage too. But that's more a side effect of my opposition to all marriage, straight or gay.

visual breach
#

Now we are talking, that's the spirit!

vast surge
#

Like it's not the same-sex part I take issue with

visual breach
#

Yeah, these days marriage takes way too much e.g. money (and sth else i forgot)

#

Why do people still marry?

vast surge
#

It's also a heteronormative, misogynistic institution that dates from an era where women were the property of their husbands.

visual breach
#

<- In great danger of offending lots of typical people

#

Misogynistic? Welp I did not delve in that one, would be great if you elaborate!

vast surge
#

One sec

#

<@&268886789983436800> fuck this guy

last creek
#

....

vast surge
#

Opposition to marriage was a fairly mainstream stance within queer rights activism right up until about a decade ago

last creek
#

Marriage is legally advantageous

vast surge
#

Gay marriage won out over the desire for people to abolish the traditional institutions of power

last creek
#

And it wasn't going to go away

plain island
#

that's not really appropriate language, please be respectful and courteous at least

last creek
#

So it essentially becomes a right denied to the gay subset of the population. I would have pivoted to gay marriage instead of marriage elimination too

vast surge
# visual breach Ouch. Excuse me wh

Yeah. All well and good for those able to fit into a homonormative paradigm, but shitty for just about anyone who doesn't want a white-picket fence and two-and-a-half kids.

vast surge
#

But I wish we'd done away with it altogether

visual breach
#

Also true, now thinking about it, marriage has been one of the "tools" that still gives strength to the segregational ideas.

vast surge
#

In particular, as a result of the traditional gender roles in marriage, it forces queer people into fulfilling the same traditional roles. It's not husband-goes-to-work and wife-stays-at-home-and-raises-kids anymore, but it does still force people to fill some of these roles in similar ways.

plain island
#

i remember thinking that marriage should be split into secular and religious (which it kind of already is) but idk if that really solves any of the problems

vast surge
#

Oh also fuck poly people I guess

last creek
visual breach
vast surge
#

Like, I'm not personally poly myself, but shitty that we're still actively discriminating people who are

visual breach
#

Encouraging people to work, yet someone still has to grow the children

last creek
#

I wish we had a more rational way to form legal families with the protections and advantages of marriage

#

It shouldn't have any thing to do with romantic relationships necessarily

visual breach
#

There is this makeshift system that is daycare service for kids, but.. still not working imho

vast surge
#

Not to mention, marriage has the fun side effect of forcing people to be together. If a relationship lasts forever, that's wonderful! But a relationship can be beautiful and also run its course, and marriage as an institution doesn't reflect that reality - instead it forces people to remain together long after they should have broken up, and what could have been salvaged to at least friendly terms necessarily becomes hatred.

visual breach
vast surge
#

Also maybe I'm just a bit paranoid, but I'd rather avoid being gay married on an official government marriage registry in case things go sideways for gay rights again. Even in America, Lawrence v Texas was within our lifetimes.

plain island
#

marriage, tax breaks, that sort of thing are to an extent an expression of the government trying to make it easier / encourage people to actually have kids

#

consciously or otherwise

vast surge
plain island
visual breach
#

I think at least marriage isn't, for now.

vast surge
visual breach
#

Also you are free to not give birth to a child when you are married

#

Yep, imho it is more for preservation of the traditional structure

vast surge
#

If the government actually cared about the wellbeing of children, they would make it easier for single/unmarried people to adopt.

visual breach
#

..which also carries the mysogynistic notions, yk

#

Imho any group of mentally fine people could grow children (idk, maybe not?)

vast surge
#

Anyway yeah this is a fairly "sus" stance that I'm taking!

vast surge
visual breach
#

Oh, right

#

Even traditionally, I heard entire large family was involved in raising child

vast surge
#

(Also, the nuclear family structure is basically designed to maximize dysfunction)

visual breach
#

(Or do you mean one person is better?)

vast surge
visual breach
#

True, that's mine as well

vast surge
visual breach
#

I mean, I do not get the 'maximizing dysfunction' bit.

#

Is it designed for that?

vast surge
#

Force a group of 3-5 people to live together for 20 years in a high-pressure environment without options to interact with other people and I'd be shocked if they didn't hate eachother at the end of it

visual breach
#

Ah, I see what you mean. Then I agree

#

Increased isolation did not help

vast surge
fervent flame
#

??

visual breach
#

Indeed, it is hard for people to stay together like this, fairly isolated from others

#

Need something analogous with extended family, but better

vast surge
#

From the kids perspective, allowing kids to interact with more than just the two people they're forced to live with because they had the same parents would be nice. Let people become close friends with those they're raised alongside! Sure, people will be closer to some than to others, but that's fine! The Wright Brothers were the best of friends, but were 2 out of 7 kids, for instance.

plain island
vast surge
#

From the parents' perspective, more potential caretakers is a great idea! It makes it easy to take a day off, to allow people to fill certain niches in raising kids, etc.

visual breach
#

What do you think is the main obstacle to this

vast surge
#

The existence and perpetuation of the nuclear family structure

#

The model that I'm proposing also works best with sedentary communites, whereas I think modern American society would be better described as semi-nomadic.

fervent flame
#

does your definition of a nuclear family mean that they are completely isolated?

visual breach
#

I mean, idk what makes nuclear family structure so persistent

#

It's not ideal in any sense.

fervent flame
#

i strongly disagree that the majority (source needed) of families hate eachother

vast surge
#

A larger, more dynamic family unit would be more accommodating to allowing people to just... interact with more people in a positive manner.

visual breach
fervent flame
vast surge
visual breach
#

Abusive parents are the worst.

vast surge
# fervent flame i meant hate within, in reply to this

Hate is not necessarily a permanent state. The majority of families don't all hate eachother at the same time. The majority of families have all gone through phases where kid A hates kid B, where the parents can't stand eachother, where the rebellious teenager hates their parents.

#

In particular, a lot of these tensions go away once the kids move out and renegotiate their relationships with eachother and their parents on more equal terms, without seeing eachother every day. My relationship with my dad and one of my brothers is stronger now than it's ever been, and I haven't seen them in close to 2 years by this point.

vast surge
#

Also, cousins argue less than siblings (at least stereotypically), kids get along better with their grandparents than their parents, etc. under the nuclear family model.

plain island
#

i think that's mostly because they spend less time together

vast surge
#

Exactly!

plain island
#

arguing and conflict is how growth happens

#

maybe it's not the only way for that to happen

vast surge
#

I'm not sure if I agree with that. I argued a lot with my brother and mother as a kid, but I was fairly static as a person while that was ongoing. I grew and matured significantly more when I left home and didn't get into fights as frequently.

#

(In this case, I "left home" at like 16 - I was not an adult. I was a runaway for a bit, and moved in with my dad)

#

With the brother I get along with, even just a few weeks apart was enough time for us to decompress and actually get along.

plain island
#

i guess i was fortunate to have parents that encouraged introspection

visual breach
#

I think that much good parents are very rare

vast surge
#

Making it easier and safer and more acceptable for kids to up-and-leave instead of being forced to fight and argue I think would just make things healthier for everyone.

vast surge
visual breach
#

Indeed

vast surge
#

My dad did to an extent

visual breach
#

Mine somewhat encourages introspection, but was not done well

vast surge
# vast surge My dad did to an extent

But he's not particularly intelligent, so it wasn't great and also there were definitely topics where introspection was a bad idea due to other surrounding factors

visual breach
#

Also what helped is that there was remnant of extended family for me, so I was able to get along with cousins

vast surge
#

(for instance, introspecting about sexual orientation and gender is a really bad idea if you live in a country where gay sex is actively punished with jail time)

visual breach
#

Oh no

vast surge
visual breach
#

Indeed.

tranquil eagle
#

hi

#

this may be off the topic

#

but i hate mixed numbers

cold needle
#

damn

tranquil eagle
#

how can we distinguish them from multiplication

cold needle
#

when you grow up

#

you will no longer see them

tranquil eagle
#

how can i know if 2⅖ means 2 times ⅖ or 2 and ⅖

tiny forge
#

No one uses them past like age 10 so you'll be fine

tranquil eagle
cold needle
#

they become improper fractions

#

Ok what the fuck

tranquil eagle
#

I mean

#

this is a random thought i got

cold needle
#

this is in school?

#

ohh

#

i see

#

Sure

tranquil eagle
#

Why the hell do children have to learn them

cold needle
#

i also dont like mixed fractions its confusing notation

tranquil eagle
#

if they are useless

tranquil eagle
cold needle
#

im not sure, maybe it is used irl? i dont recall having to use it recently though

tranquil eagle
#

lets invent new notation guys

tiny forge
#

Feels imperially

cold needle
#

Oh right

#

when doing anything with inches and feet

#

Definitely

#

its been a few years since ive worked with wood but yes

static juniper
tranquil eagle
#

why not just a fucking +

neat lintel
#

hey guys, I have a graduation project that is to be FULLY done next year however I need to get a first prototype ready in 5 weeks. I'm struggling to find an idea thats unique and good. So I wanted to ask if anyone has any ideas that can help me I'd prefer if it includes some STEM subjects and some programmng but as long as its a unique and useful idea it would be great. Btw preferably the project should have a purpose or a goal to achieve so yeah ok thanks

tiny forge
#

But do they write it as 1½?

cold needle
#

ok a plus is sort of obnoxious there imo

static juniper
cold needle
#

But also a 3/2 is also kind of dumb

tiny forge
#

I can't remember if I never see this anywhere or if I do see it often and am just used to it

static juniper
cold needle
#

Its sort of the middle ground between decimal and fraction

tranquil eagle
cold needle
#

Because you can see the number of whole quantities and deduce quickly the excess

cold needle
tiny forge
#

I would think at some point people got tired of writing the + everywhere

cold needle
#

I think in practice its totally fine to use mixed fractions in labeling things

long matrix
#

we never concatenate literals to denote multiplication do we.

cold needle
#

but for actual mathematics its not worth

long matrix
#

as a general convention at least

#

11 is not 1 times 1

tiny forge
#

Yeah I would probs use a dot if I was doing like 5 • 1/2

static juniper
storm sage
#

Besides that there are societal stigmas, familial expectations, etc that can hurt you if you don't conform to the norm

#

Plus the nuclear family assumption is basically written into the law/tax structure

reef carbon
#

#help-8 message @neat lintel would you mind telling me what you meant when you said "KFC type language" here?

#

i'm curious to know

ocean harbor
#

Russia WanWan

reef carbon
reef carbon
long matrix
#

do you england?

reef carbon
#

no, i don't england

fair mural
#

shuri do you england

long matrix
#

i meow

reef carbon
#

🐱

rocky shuttle
#

i cat and deer

dire glen
#

hey i'm studying diff equations and i'm not sure about something about frequency

#

in the formula
ae^-rt cos(wt-phi)

long matrix
dire glen
#

they call w pseudo frequency

long matrix
#

<@&268886789983436800> likely racism

#

It might be if you refuse to elaborate on your intent.

dire glen
#

so i undertand that if i want to check 2pi later i should add 2pi to what's inside cos()

#

so
cos(wt + phi + 2pi)

#

but this tells me nothing. If i rewrite this way
cos(w(t+2pi/w) - phi)

#

it's the same thing but the 2pi/w now represents the ... period?

#

forget about the minus or plus before the phi, i messed up should be minus.

storm sage
long matrix
#

💀

reef carbon
#

ok but tell me: what's the correct interpretation?

#

if it's a joke, can you explain the joke and why it's funny? if it's something else, what is it?

rocky shuttle
#

they're not in the server anymore

long matrix
#

they won't be telling anything Xd

rocky shuttle
reef carbon
#

oh lmfao

long matrix
#

for the record, I had absolutely no clue what they could have meant

dire glen
#

kfc type language?

long matrix
#

yh
also if u wanted to discuss math, the discussion channels rnt the best place for the best reception

ocean harbor
#

I think they meant fried chicken

plain island
#

but this is the math server smh

ocean harbor
long matrix
plain island
long matrix
reef carbon
dire glen
#

i'm out of the loop but i see a connection with racism here

#

a quick google search will reveal a connection between black people and chicken.
Where can i ask for math help anyway?

long matrix
#

help channels

#

also the topic channels

dire glen
#

so this is misc chat?

long matrix
#

no surprise

ocean harbor
long matrix
#

i mean - the alphabet is cyryllic looking Xd

ocean harbor
#

We don't need a music chat cuz I can sing

dire glen
#

misc = miscellanous

ocean harbor
#

ah

#

you got me there

loud snow
vague ferry
tranquil garnet
#

Yeah check the comments about Belgians being stinky. (Just kidding).

plain island
long matrix
#

im disintegrating

#

disintegrating so hard omg

rocky shuttle
#

adjunct of xA?

fresh comet
#

random question: how do fields of math get named?

long matrix
#

i did

fresh comet
vague ferry
#

Isaac Newton and Gottfried Leibniz are both credited with the invention of modern calculus in the 17th century. In Latin, calculus means “pebble.” Because the Romans used pebbles to do addition and subtraction on a counting board, the word became associated with computation.

#

got it from a google search

fresh comet
vague ferry
#

dawg just use google 😭

rocky shuttle
fresh comet
dense hornet
vague ferry
#

also saving this for later

pallid minnow
#

Can anyone refer me to an Economic Discord server where I can ask questions related to it?

loud snow
#

What is xA supposed to be

plain island
#

x times A

#

x being a real number

loud snow
#

Ok lol

plain island
#

linear algebra stuff :D

loud snow
#

Not gonna use the typical letters tho

plain island
#

the typical letters? TPF_SenkoSan_Think

loud snow
#

People usually reserve end of alphabet for vectors

#

im just thinking of usual notation

plain island
#

what would you use instead?

loud snow
#

a,b,c usually used for constants sometimes k.
m,n used for integer constants.
x,y,z,v,w used for vectors.
Capital letters are matricies

plain island
#

well I feel like xA is probably more clear than aA

loud snow
#

Yeah thats why you use kA as an example

#

xA can give impression that you might have meant x^TA

#

Thats what I first thought atleast

tiny forge
#

Yeah xA does make me uncomfy

last creek
#

mA or cA is better than aA

rocky shuttle
#

αA

dreamy cloak
#

can anyone help with proofs

ocean harbor
#

!help

quasi jettyBOT
#

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

dreamy cloak
#

bro

#

ive waited 2 hours

#

i even reuploaded it

ocean harbor
#

be patient more

#

ik some people wait like days

zealous garden
#

Noted

tiny forge
#

You can use u

#

I mean you can use whatever but in the convention cofe is talking about u is often used for a vector

zealous garden
#

Yes, cofe did not mention u

#

Which is why I did

#

Because it's common

tiny forge
#

Common w

zealous garden
#

common u,v,w

eager quail
#

Hey guys. I'm doing online school with shot hour classes, with only about 2-3 everyday. With additional homework. But I have extra goals and subjects I self study: Spanish, Guitar, Math, Neuroscience.

I can make time for this all with a good schedule and time management, right? But I might have to work harder?

vast surge
#

My recommendation - pick up one extra thing at a time. Go a week and see if you're on top of your online school. If you have plenty of free time, add Spanish guitar. Go another week or so. Still have free time? Start self-studying math as well, go a while, see if you're still feeling good.

#

That way you avoid burning yourself out immediately, and can build up the work ethic to do all these things.

#

It goes without saying, if you add something and then don't feel like you can add more into your schedule, that's a good place to stop adding stuff to your schedule.

honest badge
plain owl
#

it's just too much

onyx ridge
#

hi can someone help with an integral

opal mesa
#

if its not that hard, maybe, but if its even slightly normal level im screwed

solar hawk
#

Shit yall adults r doing some crazy shit

stuck cloud
#

hiello

honest badge
#

who is ello

sonic sentinel
#

what if when you die there is nothing except a floor and everything is white but then there's a buttonm on a raised structure and it says below it "don't ever push this button" and the button is bright and red and when you pressed the red button all it does is you would forget that you pressed the button

#

that would be moderately funny i think

drifting cliff
#

I dare anybody to prove me wrong

#

If a = b

#

then b = a

sonic sentinel
# drifting cliff I dare anybody to prove me wrong

let a be me (who is a man) and let b be my friend (who is also a man). because i don't like myself, and friends must like each other, we can logically conclude that a neq b; however, this contradicts the u.s. declaration of independence that says that all men are created equal, so by the principle of explosion we can now deduce anything, including the fact that you are wrong.

waxen vapor
#

Hey guys are any of you in the Chemistry discord server linked in the network channel?

sonic sentinel
#

why

wary lava
#

Hey guys, good evening

honest badge
daring coral
#

HI

#

im new here

thick zealot
#

Guys, do you know how to get springer to cancel an order that I didn't request, I have sent 3 emails and they don't answer me.

clear parcel
#

take springers money and they will do something XD

jagged forge
#

@pulsar pagoda my shitty mini pc and network cards are arriving today devilish

#

will post pics

#

it’s gonna be so jank with the naked network card just sticking out of the mini pc in the open air kekw

pulsar pagoda
#

and we could do some shit

#

idk

thick zealot
# clear parcel have you called your bank?

I ordered two books, thamba linear algebra and sheldon linear algebra, and then I got a notification that I had bought the same sheldon book again without having done anything, I thought it was strange, and I am working on it but they take 2 3 or 4 days to get back to me.

vernal token
#

Yeah, you can

#

That's probably the fastest way

clear parcel
#

lol i remember i bought a ton of parts to build a pc the case was coming a week late i wanted to play so bad i just stuck everything on the motherboard and powered it XD

jagged forge
#

need one that fits on a x8 slot too

pulsar pagoda
#

200-300 dollar

cinder zephyr
#

Is there a word for division analogous to multiplicative?

storm sage
#

assuming you mean f(xy^-1) = f(x) f(y)^-1

cinder zephyr
#

I literally just mean the word

#

I am writing something and I am saying "we can think of this in a multiplicative manner"

#

and I want to make analogy using division and am now wondering if such a word exists

#

Googling hasn't given anything

clear parcel
#

divisive

#

@cinder zephyr

cinder zephyr
#

oh that works

#

ty

uneven hound
#

Gusy

#

For linear algebra is 3b1b too superficial?
or Brilliant? idk what would you recommend? I know almost nothing about the maths related

solid snow
#

yes to both

#

pick up a textbook

uneven hound
#

Danm

#

Thanks

bronze wedge
tranquil garnet
#

Mathematics is a thing that you do, not a thing that is told to you.

clear parcel
old oak
pearl cave
#

after these months i now have 23,735 pings from this server blinking

jagged forge
jagged forge
#

it's running at like 65 degrees idle lmao

#

im not even sure how to install a fan onto this mini pc

pulsar pagoda
#

i would need to see that case

#

or maybe just remove it entirely

jagged forge
#

let me send pic

pulsar pagoda
#

and use it open

peak tide
#

what the hell speed is this nic running at, that it needs active cooling?

jagged forge
#

well it's a 25 gigabit nic kekw and i put it on a mini pc

peak tide
#

ahh

jagged forge
#

it's not really even a case....

#

one sec

#

the mini pc is fanless by design

#

and it has an external pcie slot kekw

peak tide
#

funky

#

and that's able to heat the mini pc to 65C??

visual breach
#

Woah

jagged forge
#

no, the card is 65C

peak tide
#

ohh ok

visual breach
#

You made your own micro pc?

jagged forge
#

according to.... this command i installed

jagged forge
visual breach
#

Ah.

#

Judging by how it is exposed, I thought you made it from some parts

peak tide
#

well 65c is 149f, does it feel hot when you touch it haha

jagged forge
#

yes it does lol

#

can't touch it for very long

peak tide
#

maybe a little desktop fan blowing across it will do the trick

jagged forge
#

yeah..... im just not sure what to plug in the fan to

peak tide
#

like a person-cooling fan as opposed to a pc-cooling fan

jagged forge
jagged forge
peak tide
#

yea, i mean if it's external to the case it seems that could work

#

why the hell does it run so hot when idle, i wonder

jagged forge
#

the amazon description says it does

jagged forge
#

yeah i'm just using the mini pc for convenience, i want to test these enterprise grade network cards

#

desktops are nice because they're upgradeable, but also a pain to lug around when you move

neat lintel
#

Many here take the education system so seriously that the whole thing damages their intellectual development. I only feel disgust when someone speaks of "courses" and "hardness" or "difficulty" of books.

vivid halo
#

Some books are genuinely more difficult to learn from than others

#

Also water is wet

neat lintel
vivid halo
#

I mean yea

merry swallow
#

broette*

neat lintel
#

You know from experience it has parts that take longer for you. You take other works & use them to continue learning.

Is this method of studying texts analogous to path finding algorithms? How?

thorny flume
neat lintel
#

Also

thorny flume
#

I see, heh

alpine copper
#

Are there any REUs or other summer research opportunities for the field of Mathematical Physics available to undergrads?

#

I am hoping for an intersection of Geometry, Topology, and Gravitation

unborn trellis
#

Doesn't exist as far as I can tell

#

Best bet is doing geometric analysis

wooden falcon
#

Mathematical Physics REUs definitely exist. I did one on lattice models. But you might not find the exact topic you wanna research.

unborn trellis
#

I've been in this exact situation last year

oblique sluice
#

hey can i ask quicq question on here?

wooden falcon
#

They weren’t gravity. But some people I knew at my university did mathematical physics REU’s on topology and geometry.

#

At any rate the question was about the existence of mathematical physics REUs period. Not necessarily only those focused on topology, geometry, and gravity. The answer is a definite yes.

oblique sluice
wooden falcon
#

Yes.

oblique sluice
#

waht is arbitrary set or what does is mean what should i understand

wooden falcon
#

Are you asking what a set is?

oblique sluice
#

"undetermined; not assigned a specific value" says on internet but

#

no arbitrary set

wooden falcon
#

I would think that’s just some set but you haven’t specified which one it is. This way you can prove a result which is true for any set.

oblique sluice
#

any senumerable set contains finite set or arbitrary size

#

ok it is contains finite but

#

what do i learn from containing arbitrary size

#

or what should i understand

wooden falcon
#

By enumerable set do you mean a countable set?

#

I ask because enumerable is also commonly used to mean a computably enumerable (or recursively enumerable) set and these are different things.

#

You may be interested in the von neumann ordinals. https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers

natural numbers are implemented as finite sets and N just contains all these finite sets.

In set theory, several ways have been proposed to construct the natural numbers. These include the representation via von Neumann ordinals, commonly employed in axiomatic set theory, and a system based on equinumerosity that was proposed by Gottlob Frege and by Bertrand Russell.

oblique sluice
oblique sluice
oblique sluice
#

thank you anyway @wooden falcon

sonic sentinel
#

is there a word for nostalgia that feels more disgusting and empty than sad or moving

last creek
#

regret maybe

alpine copper
#

Specifically anything involving topology/geometry

wooden falcon
#

They were on my university’s math department website. Internal REUs. Maybe your university will have some on its math department website.

clear parcel
alpine copper
neat lintel
#

@neat lintel yo random but what note taking app do you use

#

the default apple one

#

the one that comes installed w every ipad and iphone

#

i see

hollow jackal
#

define an iterative function

tranquil garnet
#

How many iterative functions are there?

#

Non-yes/no questions are hard to come up with.

#

Do you mean, recursive?

#

Otherwise this just sounds like series.

tranquil garnet
#

Did this person get banned?

#

Why is that?

uneven hound
#

how do you check (add 1)

wooden falcon
#

Not much. Currently wondering if an index free approach to tensors is worth it.

#

What’s up fionaToday?

meager sonnet
#

I woke up at 5 pm

#

me and Dani have made breakfast

wooden falcon
#

Ah I see. Hope the breakfast was a good one

meager sonnet
#

it was!

wooden falcon
#

excellent

plain owl
#

I would always try to learn index free versions

#

to understand how stuff works on a more conceptual and abstract level

#

can make many arguments shorter

loud snow
#

Oh

alpine copper
#

The one thing index free version doesn't do as well as more traditional approaches is contractions

#

Penrose talks about this in his Spinors book

#

It's part of his motivation for his abstract index notation

zealous garden
#

Contractions huh

#

Why are those somehow especially index needy

alpine copper
#

Ah, I can't send images here

pulsar pagoda
#

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neat lintel
#

we love crab

wooden falcon
# plain owl I would always try to learn index free versions

My main hesitations with going index free is that index (especially abstract index) automatically makes many expressions manifestly equivalent and expressible. For instance a fundamental thing with vector spaces is they with the tensor product form a closed symmetric monoidal category.

Index notation has basically modded out by the associatiator natural transformation and curried things already. And it is seamless to express swaps because the slots are labeled.

By contrast, the naive method of index free has incredible redundancy. The expressions are not manifestly associative. They are not curried. swapping takes way more symbols to express than with the indices.

I think some of these difficulties can be overcome by doing index free differently. For instance I really think I should curry everything by default to take care of associativity and the currying. But the fact remains it’s still much less practical for calculations. But I think index free is likely worth formulating, if at least as a starting theory and perhaps as a final presentation of an equation even if it’s not used for calculations.

jagged forge
#

i am an abstract index notation enjoyer myself

neat lintel
#

sully why is programming hard extremely time consuming?

charred burrow
#

Everything requires hardwork and time. Holds the same for programming

jagged forge
#

computers do not think like humans

#

reasoning about a computer’s behavior can be quite difficult

teal sage
charred burrow
#

your new what

vapid ridge
#

guys help

#

how is cos 0 = 1 and sin 1 = 0?

#

ik i have to use unit circle but i only get it if its angles (ie. sin 90 degrees or cos 90 degrees)

small dust
#

sin(1) is not 0

vapid ridge
#

oh

vapid ridge
small dust
#

cos(0) is the x value in the pair (1,0)

vapid ridge
#

yes

#

wait

#

ohh waitt

#

0 degrees

#

okok thanks

plain owl
#

what is this

muted totem
#

Hello chat

#

If I can get through three chapters of analysis today, then I will have finished my analysis book before the class it's for has started

#

🙂

dense hornet
#

I heard it's fairly common for people to get a bachelors in 2 years and now I feel confuse

lament stirrup
#

Hello,I have been studying abstract algebra for a period of time and I have build a good knowledge on Group Theory,Ring Theory,Field and Galois Theory using HungerfordAlgebra.As I noticed I can’t learn any new things using this book,I use Serge Lang’Algebra instead.Could anyone advices me on using this book?

river yew
#

You have built a good knowledge but you canät learn new things? dont undestand the question sorry

clear parcel
drowsy talon
#

I got mine in 2 years, but I went to a CC first

clear parcel
#

oh yeah, same, but in total I have never heard of anyone getting a bachelor's in two years

#

maybe like Terence Tao or Stephen Wolfram or those type of people

#

3 years total is doable for sure, with college credit in highschool

#

2 years is probably doable to, but would be close, idk if I could do it with the requirements they have in my state

#

i guess the point is @dense hornet dont feel bad if it takes u longer than 2 XD

exotic sedge
#

why Biochemical Engineering is so underrate

dense hornet
clear parcel
#

i met a biochemical engineer on my flight to Ohio he does some pretty cool stuff they genetically engineer bacteria to produce different chemicals and vitamins @exotic sedge

drowsy talon
dense hornet
clear parcel
#

in Puerto Rico its like 6-7 years to get a bachelor's ???

dense hornet
drowsy talon
dense hornet
#

Aerospace with a minor in Applied Math

drowsy talon
#

Very cool

exotic sedge
#

i can said Biochemical Engineering its like chemistry with cell atcg code rule adenine thymine cytosine guanine its just ez chemical compound

stuck zinc
#

all numbers are equal to zero
becuas eall numbers over infinite are ewaul
then you multiply them byy infiniti and there still the same
so all numbers are equal

vale plover
#

i'm assuming you mean profile picture?

#

we normally abbreviate this as pfp rather than pp, as pp is more commonly used to refer to a penis

fair mural
#

wow

gritty totem
neat lintel
#

good major for premed

daring coral
#

hi

#

just new

neat lintel
#

ive never heard of someone completing one in two years

#

unless they mean they already had an associates dehree

#

they wouldnt even let you try to schdule ten classes per semester

clear parcel
#

There are a lot of 5 year bachelors + masters engineering programs, like Cal Poly San Luis Obispo

#

They are even trying to add that to the physics department at the school I am studying at rn

neat lintel
static juniper
#

how can i study geometry in uni

#

like what should i take

neat lintel
#

maybe take calculus, it taught me geometry

prime raven
static juniper
#

yea that makes sense sadcat

#

thanks

alpine copper
mental stratus
#

std::linalg in C++ bleak

pulsar pagoda
burnt ledge
pulsar pagoda
#

omfg

#

it's happening

blazing ocean
#

hi guys am new

neat lintel
icy dew
#

Heyo gaiz?

mental stratus