#serious-discussion

1 messages · Page 483 of 1

neat lintel
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ultimate form of exclusivity in a relationship isnt a strong basis

velvet dagger
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You can ask why this differentiates between gay couples and straight couples but not polygamy and monogamy. There's probably a case to be made that it should allow for the latter (I'm not a legal expert to say), but my first guess as to why it might not is that if someone is gay, marriage as an institution discriminates against this person relative to straight people, but being "a polyamorous person" is perhaps seen less as a sexual orientation thing and more of a moral preference thing, so it's harder to identify it as a category of person who can be discriminated against?

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Again I'm just kinda reasoning about shit I have no real experience in which is massive Dunning Kruger but

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I've got a very good track record about being at least somewhat accurate when I Dunning Kruger so I'm willing to gamble and say this out loud

light needle
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polyamorous isnt really a "moral" preference

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not allowing poly marraiges is kinda dumb

velvet dagger
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Oh I agree

neat lintel
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no

velvet dagger
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My point is more like

neat lintel
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allowing marrige without strong basis is dumb

velvet dagger
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People might think about polyamorous relationships in the sense of

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"Are you okay with the idea of multiple partners" rather than a matter of sexual attraction

neat lintel
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so allowing non religious marrige is mindbogglijg to me

velvet dagger
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Mahael so

neat lintel
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i get your point about realityy

velvet dagger
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The thing is you can worry long term about whether, in 500 years, you can destroy the idea of marriage as being a legal or societal phenomenon rather than a purely religious one

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The ideal I imagine you have is that members of a church/mosque/etc would marry their members according to their religious rules

neat lintel
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well its already destroyed is my point

velvet dagger
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And that it has no legal anything to it

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But that's simply not how it is

sick burrow
neat lintel
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it isnt?

velvet dagger
# neat lintel well its already destroyed is my point

I really hope you're not that naive lol, feels like you're doubling down on a position you know is indefensible because you've been backed into a corner and haven't accepted fate rather than actually believing that

sick burrow
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Is that not what dami was saying

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Or am I dumb

velvet dagger
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Literally married couples have tax benefits

neat lintel
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yes

velvet dagger
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Inheritance is easier

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etc

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The institution of marriage is alive and well

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Regardless of whether you believe it's correct or incorrect

neat lintel
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but there is no strong basis is why in saying its destroyed

velvet dagger
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You need to distinguish between is vs ought

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There's no strong basis so you think it ought to be destroyed

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But while it's literally a thing that influences millions of lives on a daily basis

cold needle
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🙈

neat lintel
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yes clearly it exists

velvet dagger
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Doesn't feel very destroyed

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Like idk... let me come up with a stretched example to make this point

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Best thing I can think of offhand is kinda sketch is the thing. Let's say someone believes that citizenship of a country shouldn't be a concept which exists

blazing pawn
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Marriage as an institution is objectively not "destroyed" lol

velvet dagger
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I'm not gonna get into the debate on whether that person is right or not

blazing pawn
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It has a lot of important social and legal benefits

velvet dagger
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But pretend someone doesn't believe citizenship as an idea should exist

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Now imagine there's a country where the idea of citizenship is firmly entrenched

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And imagine this country also denies citizenship to people of a certain type

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You can be like oh the idea of citizenship in general is wrong, all those residing in a country should have similar privileges

blazing pawn
velvet dagger
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And as a result, eh why bother helping people who are being denied citizenship and are being harmed every day because of this

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When really we should be trashing citizenship as a notion entirely

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Like okay cute ideals are cute but

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Deal with destroying citizenship over the 500 years it will take to destroy that idea

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And if you can provide citizenship for the people who deserve it literally tomorrow

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And spare them 500 years of relative suffering

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Do that rather than have your head in the clouds

neat lintel
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i meant marrige is destroyed in the sense that for people who practice it currently it is so very divorced from its original intentions that is might as well not be considered marriage

velvet dagger
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The case that I imagine you have in the back of your mind is that doing so somehow validates the idea you're trying to destroy and maybe prevents the long term goal? But I don't think it does

blazing pawn
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I mean ok so what then lol

velvet dagger
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You can say marriage as a thing that's strictly church-centric rather than government-enforced might be destroyed

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But then government-enforced marriage as a 2000s phenomenon isn't destroyed

light needle
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concepts evolve over time sully

velvet dagger
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Now confront this reality appropriately

cold needle
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Thanksgiving is an excuse to buy things 😼 .

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im kidding around but

velvet dagger
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Christmas might be a better example

cold needle
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yeah

neat lintel
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sorta my point though

velvet dagger
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Tbh I wouldn't be surprised if like

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Churches eventually come around and are like

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Christmas is now no longer a valid Christian holiday

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Because tbh it isn't lol

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And it becomes a strictly American consumer thing lmfao

blazing pawn
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Well technically it was pagan from the start anyway

velvet dagger
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Yeah

cold needle
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stare o

light needle
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not just american dami

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smh

velvet dagger
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Idk how crazy other countries go on Christmas lol

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But yeah that's the thing like

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I'm pretty sure literally every priest in this country is fucking it up

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By continuing to allow Christmas

light needle
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ok im trying to remember childhood memories

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i was in maylasia one of my christmases

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when i was v young

neat lintel
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justifications for allowence of gay marrige and polyamorous marrige is based on addressing religious stances, but the concept is divorced from religion, so why do we still call it such and require preists to complete ceremonies

light needle
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i think they celebrated christmas commercially

velvet dagger
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The case for allowing gay marriage legally wasn't a religious one actually

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Marriage is a technical legal term

light needle
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altho i might be remembering like, new years

velvet dagger
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And I'm pretty sure the legalization of gay marriage comes with literally zero mandates on religious institutions to back that up

neat lintel
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what?

sick burrow
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nM may I suggest you actually take some time to critically think over your opinions

velvet dagger
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So you can have a gay couple that is legally married and is able to file taxes jointly, have inheritance benefits, etc

sick burrow
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like it's not even that you're coming from a bad place

velvet dagger
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But the church can be like

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Nah gay marriage isn't a thing in this religion so we don't acknowledge this marriage

sick burrow
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it just feels like you genuinely haven't though your position here through

velvet dagger
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That's just allowed

neat lintel
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So then all arguments ive heard that are anti gay marrige are legal based? Yet I havent heard one argument that doesn’t incorporate religious aspects

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i swear im being gaslit rn

velvet dagger
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Anti yes

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The point is this

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Religion used to have a big role in society

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So if a religion declared something to be immoral

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It was made illegal, even in societies (e.g. America) which were technically secular

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So now you have marriage as a thing

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Which is done by churches

blazing pawn
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The fact that people who dont support gay marriage do so on religious grounds doesnt mean that the people who do support gay marriage do so on religious grounds

sick burrow
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moth you changed your pfp and now I'm confused

velvet dagger
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They decide to codify a notion of marriage in law which provides privileges to couples which are married in the religious sense

neat lintel
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i never met anyone who was anti gay marrige for legal reasons

velvet dagger
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So tax benefits, inheritance stuff, child stuff, etc

neat lintel
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im being gaslit i swear it

blazing pawn
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What are you even trying to argue then...

velvet dagger
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You're not being gaslit you're confusing the causality here

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The point is that marriage was made as a legal thing to mirror the religious one. But once it is created it provides legal benefits

sick burrow
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you're not being gaslit

velvet dagger
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So now people who were religious were like well our notion of marriage is man with woman

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Gay people can't get married, they shouldn't even be having relationships because that's wrong

neat lintel
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Yes…

velvet dagger
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So they have no business being given these privileges

sick burrow
velvet dagger
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Okay fast forward to today

neat lintel
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yes those are the only anti gay arguments ive heard

velvet dagger
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There is a legal phenomenon of marriage which has no need for a church but which provides concrete benefits

blazing pawn
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This conversation is literally so pointless wtf are either of you trying to argue

nimble shuttle
velvet dagger
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You now go and say well... Gay people are not being allowed to marry but there's no legal basis for this fact

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It's an artifact of when people designed the law to have an incorrect level of reliance on religion

nimble shuttle
velvet dagger
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You have two options. One option, which will not happen in your lifetime probably

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Is to say let's just trash the legal idea of marriage

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Married couples have no benefits, it's not an acknowledged concept in law. Churches can do whatever the fuck they want about marriages because they literally own that concept

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Again this will not happen in your lifetime

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The other option is you say well, right now the law discriminates against a class of people. Let's make it not do that. That can be done in the short term, and in fact has been done

neat lintel
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Yes

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You see the second option is what Im trying to focus on

velvet dagger
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You've been practically arguing that there's no need to perform the second option when we should really be doing the first option

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I think on some level we sorta agree on all the main points but you're just kinda confused about how the cause and effect is working here

neat lintel
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ok

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removed my incoming wall of text

velvet dagger
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Like we could just take the word marriage and replace it with "civil union"

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In law

neat lintel
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yes

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it exists

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domestic unions

velvet dagger
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And then it's a separate matter

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Like alright do we think that people in some kind of union like this deserve e.g. tax benefits? Aka should this notion exist?

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This is now independent of religion because we've abandoned the religiously loaded term

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Second is, what should count as a valid union if we allow this to exist? So in this case yeah when we no longer make this religious there's no case against e.g. polyamory

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Or we decide it shouldn't exist at all and everyone just screws whoever they want and the law simply doesn't care

neat lintel
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i feel like my common sense isnt being respected but my only point in talking about marrige was to get to back to the point of racism being doomed and its advertisement. this entire conversation is a tangent about my confusion for why people still want marriage as a relationship goal even though the concept lost its strong basis, and the legal basis is somewhat strong imo

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but not strong enough to be coherent

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its not really relevant to my point I was trying to make in original conversation

velvet dagger
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But okay, let's look at how we get from society as it is today to that hypothetical society which no longer puts weight on marriage? Turns out answer is, it'll take a long time, but in the meantime not being married comes with concrete disadvantages. So you're still incentivized by legal and societal forces

velvet dagger
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Let's say you have some couple. They're not religious so they don't care about the OG concept

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But they want to pay less in taxes

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They want certain things that are just easier for married couples to be easier for them

neat lintel
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ok

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i left out something specific

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im kind of talking about those who want marrige in the way that they want a house with kids and all the other aspects that are tied to the religious one, but dont have strong basis for it since they arent religious

velvet dagger
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Cultural inertia

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Well house with kids is not about the legal idea of marriage so much as a life desire

neat lintel
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yea i find it detrimental

velvet dagger
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Like yeah I'd like to live with my partner and have kids because I just enjoy that sorta thing

neat lintel
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not really sure its worth having another conversation about though

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but i believe if this is the case you need to think of marrige more critically and think of plans for it

velvet dagger
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That's a reasonable desire to have for any individual couple. Should it be considered the gold standard for relationships? Probably not. But is it? Yeah. That is life. Maybe when I finish my psets I'll change that about society

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Gimme a week or two

neat lintel
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rip i cant continue this but ill say i disagree first sentence and agree second

neat lintel
untold sapphire
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dami is one of those unfortunate grad students who has psets

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some grad schools have more coursework than others

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or he's grading

velvet dagger
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A pset to do

humble solar
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Imagine having to do hw

untold sapphire
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get gonked

neat lintel
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wait i thought course work ended

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after like 2nd sem

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or 3rd

untold sapphire
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like i said

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different graduate schools vary

velvet dagger
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Here it's like, there are one level of classes with regular psets (sometimes exams), and one level without. I could've honestly taken 3 classes with no homework but I thought this was worth taking. First half kinda was, second less so

humble solar
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What a fool

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I'm out here living my best life with no HW

velvet dagger
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So is your face

ancient flame
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what's the difference between an operator and a function

mortal igloo
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They're the same type of thing, and calling something one or the other is a matter of convention

ancient flame
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I see

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so you could say that the integral is a sort of function?

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so then $\int : \mbb{R} \to \mbb{R}$ makes sense?

fathom swallowBOT
mortal igloo
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There's multiple things wrong with that

ancient flame
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like what

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if you replace the integral symbol with f then there's nothing wrong

mortal igloo
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If it's an indefinite integral, the input is a function and the output is an affine space of functions

ancient flame
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oh

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I see

mortal igloo
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So maybe

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$\int\colon C^0(\bR)\to C^0(\bR)/\ker\left(\frac d{dx}\right)$

fathom swallowBOT
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Icy001

ancient flame
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idk what a kernel does lol

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and what is C^0

mortal igloo
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the /ker(d/dx) takes care of the +C

ancient flame
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oh ok

mortal igloo
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in complete rigor

ancient flame
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what's the C^0

mortal igloo
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continuous functions

ancient flame
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oh okay

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makes sense

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tysm

toxic schooner
leaden skiff
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not jsut in this context but in general

mint patio
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oh wait

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That makes sense lmfao

mint patio
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I know I type out Tex for words sometimes 🤣

mint patio
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is that right?

mortal igloo
ancient flame
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oh

mint patio
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OH

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I TOTALLT

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LOL

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kms

leaden skiff
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modulo?

ancient flame
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wait it's not set minus?

mint patio
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It is

leaden skiff
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modulo a vector space?

mortal igloo
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nope, it's modulo

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Yep, a vector space modulo a subspace

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exactly

mint patio
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Wait what’s the difference

mortal igloo
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Quotient of vector spaces!

mint patio
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nvm I see it

leaden skiff
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how exactly does that work?

ancient flame
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then wouldn't it make sense for you to write mod instead of /

leaden skiff
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maybe explain with the boring spaces like R^2 first pls?

mortal igloo
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It's very standard notation

ancient flame
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ew

mortal igloo
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Yeah ok so e.g. let $V=\bR^2/{(x,x):x\in\bR}$

fathom swallowBOT
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Icy001

mortal igloo
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This says that $V$ is basically pairs of real numbers but (x,y) is declared equal to (x',y') if x'-x = y'-y

fathom swallowBOT
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Icy001

mortal igloo
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So the dimension of this vector space is actually 1 now

ancient flame
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interesting

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oh wait isn't set minus the \ symbol instead

mortal igloo
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yes

ancient flame
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ohhhh

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alright

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then it's not as vague

mortal igloo
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V set minus proper nonempty subspace isn't a vector space anymore

leaden skiff
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why x-x' = y-y'?

mortal igloo
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Ok so the proper definition for a general quotient is

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$V/W$ is the set of equivalence classes of elements in $V$ where two vectors $v,v'$ are equivalent if $v-v'\in W$

fathom swallowBOT
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Icy001

mortal igloo
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Then we put an addition and scalar multiplication on it in the only way we can, to make it a vector space

iron osprey
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note

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this is just using the notion of quotient groups

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where any vector space is an additive abelian group

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so all subspaces are normal subgroups (by commutativity)

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so if u know quotient groups or rings/modules u get all this stuff 4 free

sick kite
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"Or at least, I think one of the ways alt-right groups are currently radicalizing people is by finding vulnerable white men and providing them with a semblance of a community while also telling them (insert often racist scapegoat group) are the problem" Is kinda what I meant. No need to through out claims about myself holding similar prejudices too like tf

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like my communication ability isn't good

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sry

uncut drum
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The questions I see in the math help channels have stepped up their level since I last checked them out

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I don't see the 10th grade stuff

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I saw a lot of more simple maths before but not as simple currently

snow lintel
uncut drum
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I mean, it probably comes up

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but right now I don't see it

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before I'd always see simpler stuff as well

hearty glacier
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does anyone have resources that i can read related to application of eigen functions

primal crater
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lol

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there's an entire field named quantum mechanics

hearty glacier
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i have to give presentation on application of orthogonal and orthonormal set of function . i understood the concept but cant understand how its used in real life

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on wiki of orthognal functions i saw this

deep mango
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Maybe look at fourier analysis and how it's useful for solving PDEs.

hearty glacier
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im trying to find out how orthogonal connects to eigen vectors and then show uses of eigen vector

deep mango
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It's not hard to do a small thing on how eigenfunctions let you solve the heat equation using separation of variables.

deep mango
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If the operator is not symmetric then orthogonality isnt really related to eigenfunctions

hearty glacier
#

Motivating Question 1 There are probably twenty or thirty radio stations transmitting
in the Ann Arbor area. When I turn my radio to a particular station, how does it pick out
that signal from all the others?
Motivating Question 2 I want to store a sound file but I have a limited amount of
space to do so. What are the most important aspects of the sound to hold onto?
We’ll start by discussing Motivating Question 1, and move to discussing Motivating Question 2 later.

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the pdf contains these applications

deep mango
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Yeah those are both related to fourier analysis and the fourier eigenbasis.

mint patio
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I wish S&S had pictures

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excuse me

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I've only heard of analytic continuation (from RH stuff lulw) but never knew what it was

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Is that really it and how the fuck does that work

leaden skiff
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is this true for real smooth functions?

mint patio
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These are about holomorphic functions so I'm assuming generally no

mint patio
light needle
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it is, like the idea is that

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lets say you have a holo function and you have defined it on some neighborhood

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and you wanna holomorphically continue it to a bigger set

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then this is unique

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for the zeta function, what is done is that, ok we define it with series wheneve Re(s)>1

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but then we can define it for everything else(except s=1) using the functional eqn

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and gluing these together you get a holomorphic extension of the zeta defined as the series

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so this is the unique way to define the zeta function from the series on C-{1}

leaden skiff
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so wait, does this imply that if you know what a holomorphic function looks like, in any region, you know what it looks like everywhere?

light needle
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kinda yeah

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holomorphic is an extremely strong condition

crystal stream
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for entire functions i think so yeah

light needle
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this isnt distinct to the complex plane btw

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this is true for all complex manifolds and holomorphic maps

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if they agree on any open set (no matter how small) they are the same

crystal stream
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funny how a simple system of pde's is such a strong condition

untold sapphire
mint patio
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I'm assuming you have more restrictions when the domain isn't simply connected?

mortal igloo
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No, when the domain isn't simply connected you can still do an analytic continuation but you get a multi-valued function and you have to change the domain to a Riemann surface to get a single-valued function again

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If you like algebraic topology, analytic continuation gives you a holomorphic map from the universal cover of your complex manifold to the codomain

sick burrow
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Oh interesting

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Don't know anything about analytic continuation but the algtop perspective is cool

dry tangle
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hi could maybe someone help me with a math problem?

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if u guys have the time would apreciate that so much

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am at HELP-25

sick burrow
cinder roost
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Ngl Maths is so much more enjoyable when you aren't studying for exams

fair mural
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i agree

cinder roost
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Sincerely, I hate studying for exams, to the point where this is the last Mathematics module I'm going to be taking

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meh

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I'll learn it after I graduate

toxic schooner
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Graduate HS?

cinder roost
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No

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When I've got my master's

toxic schooner
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stare
wowie

wraith trail
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Lmao I gotta do exams to move up in my career

cinder roost
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really

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what kinda career is that?

wraith trail
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Actuarial science

cinder roost
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I've heard of doing exams to get certified and what not

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Never knew that

wraith trail
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7 exams to get first credential and another 3 for the second

cinder roost
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ahh

wraith trail
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Get raises after each and they pay for study time and materials

surreal sapphire
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turns out to become an accredited professional you have to get accredited

cinder roost
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tbh, I'm so glad programming jobs don't require accreditation

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you can just be like here's my github ask me some questions

surreal sapphire
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results will vary

cinder roost
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Do you think that having additional accreditation helps in a programming type of career?

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Anyway, is anyone interested in teaching me some calc 3

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inb4 guiding me to help channels

wraith trail
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What topic in calc 3?

sick burrow
cinder roost
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well, there's something on fourier series (Q1) and then some of this stuff, appears to be Euler Lagrange equation (Q3)
inb4 I'm cheating this quiz is worth around 0.2%

fair mural
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this is definitely not calculus 3

cinder roost
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Then what is it?

fair mural
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wait yeah it is

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fourier stuff isn’t though

cinder roost
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It's included in this module which they've changed over the years

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"Mathematical Methods 3"

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The thing is, it's become a little less Mathsy because half of Methods 2 was Python

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So the modules at the university have kinda changed over the years

wraith trail
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This ain’t stuff I really remember sorry

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Been a good while

fair mural
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i’m doing this right now and i don’t even understand half of it

wraith trail
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I’m glad all I needed outta calc 3 was double integrals and jacobians

fair mural
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wow that’s the one thing i don’t understand lol

ancient flame
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sd7: says two things
quantum: "one thing"

fair mural
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i basically just skipped calculus 3 after that since i need that knowledge for line and surface integrals

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ok i meant double integrals

wraith trail
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I needed double integrals for an exam based on probability

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Same with jacobians but those were simple ones

mortal igloo
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What's the probability distribution for the sum of two uniform random numbers in [0,1]? 😏

simple laurel
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y'all are so smart idk what y'all are saying

fair mural
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i sure don’t feel super smart

wraith trail
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I’m def not super smart

fair mural
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icy has a big brain though

pale orchid
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something something triangle shape

sick burrow
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Or wait is that double integration

mortal igloo
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It's convolution 🙃

pale orchid
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if the two vars are independent, it'd be the convolution of the distributions

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yea

wooden flax
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fancy stuff

pale orchid
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which for two rectangular shapes is a triangle

sick burrow
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What is convolution

mortal igloo
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It's the question "how many ways are there for two dice to add to n" but continuously

wraith trail
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^

mortal igloo
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There's a formula too: for $f,g$ real-valued functions with compact support, $(f*g)(x)\coloneqq\int_{-\infty}^\infty f(t)g(x-t),dt$

fathom swallowBOT
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Icy001

jovial ember
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I’m a chmonkey

honest veldt
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This implies there are others amongst us

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find the anomalies

jovial ember
#

Kanga Gang 🦘

wooden flax
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🦘

real sigil
#

when we say sqrt(a)

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are we reffering to the positive value? or both ngative and posi?

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like, no signs, just √a

fair mural
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positive

neat lintel
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This is my genius koji arc

crystal dagger
#

oh great

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another Ayanokouji

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@honest veldt sotrue

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we're growing

honest veldt
#

No. Way.

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The revolution has begun

honest veldt
deep mango
crystal dagger
#

and so the arc begins

honest veldt
sick burrow
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Chmonokey is the real puppetmaster in this server change my mind

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Modmail might have the status, but we all know who holds the real power

wild lantern
#

Modmail is a chmonkey alt

deep mango
#

Imagining chmonkey controlling me is like imagining being bitten by a small Chihuahua

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I would tease him with my pinkie finger

sick burrow
#

That's how he gets you

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Also how say that but which one of you is the Kanga Gang boss and which one is the drug mule

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Chmonkey could bring this entire server down if he wanted and we'd all be cheering on our own demise

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Have you not seen the messages in #the-ivory-tower-2?

mint patio
#

tfw Tex breaks

crystal dagger
deep mango
sick burrow
tribal dove
#

Why is n^0 = 1

vivid halo
#

since x^a * x^b=x^(a+b) we must have x^0=1

#

(to see this let b=-a then x^a * x^-a=1)

tribal dove
#

Oh wow thanks

#

That explains it

fair flax
#

hi, what job can i get besides insurance if i pursue a bsc in actuarial sci? i am looking for options

leaden torrent
#

risk

#

companies analyse risk for more reasons than just insurance

#

you could be a financial analyst examining whether branching out a company into a new industry is useful

#

the final decision rests with the higher-ups, but its the analyst's job to put together a lot of statistics and try and identify risks and cost-benefits and whatnot

#

and present their findings + recommendations to the decision makers

#

its ultimately just an office job with a bunch of number crunching no matter what you do - insurance, analysis, stock trading, whatever

#

very similar flavour

#

but it is a different position

ancient flame
leaden torrent
#

i mean, if youre considering an actuarial science degree, id assume youre cool with that

#

if not, uh, do another degree lmao

ancient flame
#

lmao yeah but I can't imagine someone would voluntarily want to do that

#

but hey

#

some people enjoy eating tarantulas

ancient flame
#

I guess

#

which is kinda dumb but sure

leaden torrent
#

i get the appeal

west basin
#

finance jobs are known to pay really good

leaden torrent
#

you do a monotonous but ultimately safe and simple job 8 hours a day

#

go home and get to enjoy a comfortable paycheque

west basin
#

ultimately u have quite good enough job security

leaden torrent
#

its not the most exciting life, but theres a reason "may you live in interesting times" is a curse\

west basin
#

but i wud still assume the work they are doing is intellectually stimulating

#

considering ur in a math role

#

unlike say investment bankers

leaden torrent
#

the math is still repetitive calculations and a lot of digging through financial archives

#

so not really

#

yeah you do a bit more stats than your average office job, which is interesting for like

#

a month

#

but that just becomes like any other computation soon enough

west basin
#

what about something like a research quant

#

whose job is to actively look for new models

leaden torrent
#

you wont get that with an actuarial degree

#

those typically require a graduate degree in math/stats/cs/phys

west basin
#

oh ok

leaden torrent
#

mayyybe finance

#

but not actuarial

stray kite
#

Suppose we add to N a new element x. Then N U {x} is still countable

I feel like this is supposed to be simple to understand but I don't really get it, why is N U {x} countable? To be countable there needs to exist a bijective map from N U {x} to N right? What element can we map x to such that a map remains bijective?

leaden torrent
#

assuming countable means countably infinite here

#

start by bijecting N into itself

#

so we have a list

#

a_1 -> a_1
a_2 -> a_2
a_3 -> a_3
...

#

you get the idea

#

now add in x to the top and move everything down

#

x -> a_1
a_1 -> a_2
a_2 -> a_3
a_3 -> a_4
...

stray kite
#

oh

#

ok yeah that makes sense

#

thanks lol

fair flax
#

so basically a bachelors in actuarial sci can lead me to analyze financial risks?

#

i thought that quant should be more interesting but i dont want to get a masters

#

i just wanna get into work after bachelors

fair flax
#

i am interested in that as well as retirement analysis stuff

fair flax
#

i am more concerned with the demand for entry level than the salary

snow lintel
#

guys does have any idea what happened to the brilliant.org calculus page of hard problems?

turbid epoch
#

Is it not there anymore?

#

You can always use the waybackmachine.

snow lintel
#

can you check once if possible?

turbid epoch
#

I can't find it.

snow lintel
#

yeah me too

#

guess my problem solving days are over 😦

stray kite
#

lol there exist other sources of problems

turbid epoch
neat lintel
#

ez problems

coarse cobalt
#

what would you recommend for beginner in trigonometry ?

leaden skiff
coarse cobalt
real sigil
#

so sqrt (9) isnt equal to -3?

real sigil
fair mural
#

no

#

the square root of any number is positive

leaden torrent
#

-3 is a solution to x² = 9

fair mural
#

although someone will probably say something about different branches

leaden torrent
#

but the notation sqrt(x) specifically means the principal root

#

i.e. nonnegative

fair mural
#

there it is

leaden torrent
#

so sqrt(9) = 3

real sigil
#

so the square root and the square are not exactly exactly opposite to each other

leaden torrent
#

f(x) = x² is not invertible on its entire domain

#

since its not injective

real sigil
leaden torrent
#

it is invertible on [0, infinity)

#

and this is the codomain/range of sqrt

real sigil
#

shouldnt you put infinity(?

leaden torrent
#

if you want to denote an ambiguous case where it could be either (or both), use the notation ±sqrt(x)

leaden torrent
leaden torrent
#

are you french perchance

real sigil
#

isnt it like this?

leaden torrent
#

i have never seen that.

#

ive seen french people use [0, infinity[

real sigil
leaden torrent
#

but ive never seen [0, infinity(

real sigil
#

wait

leaden torrent
#

in any case, in most of the world, [0, infinity) is used

real sigil
#

whats the difference between [ and (

#

i mean ] and )

leaden torrent
#

] is closed end, ) is open end

real sigil
#

so ) is just [?

fair mural
#

] can be equal

leaden torrent
#

[0, infinity) = {x ∈ ℝ | 0 ≤ x < infinity}

real sigil
#

dude for real ive never seen this lol

#

we dont use ()

leaden torrent
#

yes, ]a, b[ in the french standard corresponds to (a, b) in the anglo standard

real sigil
#

only []

#

yeah

#

french?

leaden torrent
#

the ISO recognizes both

real sigil
#

im form algeria and its how we do it lol

#

why isnt there one single way of doing it?

#

smh

leaden torrent
#

because of the bourbaki school

#

they invented a lot of notation

#

some of it caught on internationally, some didnt

#

but it was extra influential on france

#

the entire world used (a, b) style, but then the bourbakists started using ]a, b[ style

real sigil
#

in that case

#

which one is more prefered

leaden torrent
#

doesnt matter

#

write for your audience

real sigil
#

in my books and how teacher does it, never seen him use (

leaden torrent
#

if youre submitting to a journal, it probably has a style guide

leaden torrent
real sigil
#

fair nough

leaden torrent
#

this really doesnt matter

#

its a petty notational thing

real sigil
#

if i do ( ocassionally is he gonna get it? ( like he should right?)

velvet dagger
#

Pfft better to bully people into using the more aesthetic notation

leaden torrent
#

probably, but i'd err on the side of caution and stick to what your class uses.

real sigil
#

ye thats about right

humble cape
#

can anyone help me

leaden torrent
tawny spoke
#

how does one find an advisor and a topic to work on

#

do i just yolo email a prof and then see if i like their problem

calm thistle
vivid halo
#

depends, there are a lot of ways around this and it really depends on your personality and your potential advisor's personality

#

but generally what people do for a bit before choosing advisors is "advisor shopping" in the sense of just like

#

setting up some meetings/stopping by office hours, chatting about math, see if you get along and if mathematical interactions go smoothly

bronze pelican
#

Ask them what their research is about, do a reading course with them, join their seminar, talk to their students

#

There are a lot of ways you can get to know a professor and work with them before officially becoming their student

sly thistle
mint patio
#

I thought I was dogshit at math but seeing some of the other people around me

gentle bay
neat lintel
#

What’s 7 X 7??

gentle bay
bold granite
jovial ember
#

@charred lance fuck you

dire mulch
neat lintel
dire mulch
#

np problem always happy to help. Note this is true for a particular field where X denotes addition.

charred lance
#

@jovial ember goth_kiss

jovial ember
#

That was a really good diss

#

I have to feign being angry but I respect it

short pivot
#

what... what is the difference between algebraic geometry and geometric algebra

mild nebula
#

Algebraic geometry is the study of varieties (Zeros of polynomial functions in multiple variables) using modern algebraic techniques

#

Geometric algebra is like vectors but a bit deeper afaik @short pivot

short pivot
#

like vectors but a bit deeper

#

yes

#

lol, thanks tho

mild nebula
#

Reading on it a bit more, it's like vectors, but adapted to capture notions of differential geometry

#

That's kinda cool, I wish I knew more

toxic schooner
#

it had this good video circulating here

#

this one

leaden skiff
#

it's sick as fuck

#

I'm slowly becoming a GA crank

toxic schooner
alpine kindle
#

I'm slowly becoming game theory nerd of the century

leaden skiff
#

are you learning it for fun or for college?

alpine kindle
#

fun

#

I'm not in college yet

#

nor university

hearty glacier
#

is there a name for this eqn

leaden skiff
#

is that an inner product?

hearty glacier
#

what are those brackets called

#

before f and after g

wild lantern
#

Most people just call them angle brackets.

#

It's pretty common notation for inner products like ninja mentioned.

hearty glacier
#

can i use texit to put eqn in a ppt

tall badge
#

this is a common definition of an inner product on the space of continuous functions on [0,2pi]

hearty glacier
#

how i can show average of cos over full cycle is 0

#

does this look explainable lol

thorn heart
#

Could someone help me at II pls

pale orchid
# hearty glacier

if you write out the integral, you'll see that you get something proportional to sin(a) - sin(0) = sin(a)

#

so the result is a sinusoid that is a function of a

#

then naturally if you change a, you see an oscillating behavior

#

you have, however, plotted it as a family of functions that depend on the parameter a, and each function is constant

#

rather than directly making a function of a

hearty glacier
hearty glacier
hearty glacier
pale orchid
#

i would put a as the horizontal axis

#

because the result no longer depends on x

gloomy marten
#

👓

#

what is $\vec u \land \vec v$

deep mango
fathom swallowBOT
deep mango
#

Wedge product

gloomy marten
#

thank you gamer

#

very cool

deep mango
serene parrot
gloomy marten
#

oh

#

it's just the difference between the outer products

toxic schooner
gloomy marten
toxic schooner
leaden skiff
#

hey if a vector can be written as a column matrix, then what can a bivector be written as?

neat lintel
#

bilinear map?

#

nah nvm bivectord arent that

river linden
#

aren't bivectors basically scalars

leaden skiff
#

only in 2D

river linden
#

hm

#

I guess write it as a combination of the basis bivectors?

#

[all the GE i know is from that one video lol]

meager sonnet
#

a wedge b = 1/2(ab-ba)

leaden skiff
#

oh yeah it'd just be another column matrix I'm dumb

leaden skiff
river linden
#

ye

gloomy marten
#

aren't bivectors written as matrices?

#

Not sure, never heard about them until like when I read that

leaden skiff
gloomy marten
#

wait

#

Bivector (complex)

#

hmmm

#

uh

leaden skiff
#

I mean like, you can represent a complex number as a matrix too

gloomy marten
#

yeah true

#

z = [z]

#

Poggies

leaden skiff
#

this feels more of a consequence of that

gloomy marten
#
def __init__():
```moment
leaden skiff
#

hmm?

#

I don't get what you're saying at all opencry

gloomy marten
#

__init__(x) is basically the class constructor equivalent in python afaik (i.e. not sure if there are any significant differences)

#

the first argument of it is the object, the rest are the attributes you want them to inherit (most of the time, you can also just do normal code inside the function (probably))

neat lintel
#

initialize the object

neat lintel
gloomy marten
#

Ic

neat lintel
#

Ic?

raven vector
balmy sierra
#

So we just got assigned a project to research on how Multivariable Calculus is involved with our major, of which mine is a Computer Hardware Engineer. Any specific topics I could look to research into? I can definitely see the connections of multivar. calculus with vector calculus & Computer Aided Design, but I’m having a bit of difficulty finding any other specific relations

neat lintel
#

switch your major to physics and then simply say "i'm majoring in multivariable calculus"

unborn trellis
#

I imagine optimization problems are pretty crucial in hardware engineering, and in particular control theory

#

and in real-life applications, you have multiple parameters, so it's all crazy vector calculus

neat lintel
#

multivar calc is used for that

#

like you'd have to optimize a bunch of stuff?

ancient flame
#

hey so

#

I wanna make a video on my youtube channel for christmas

#

what's a christmas type math problem that's interesting and not corny?

wild jay
#

I know know

#

I knowwwww

#

fractal Christmas tree

mild nebula
#

How many gifts did the guy in "12 days of Christmas" get?

wild jay
mild nebula
#

Actually pretty cool

#

If there was "n days of Christmas" how many gifts?

gentle bay
#

XD.

gentle bay
wild jay
#

.pin

dire mulch
#

I wonder if the Christian version of Jesus did any math.

primal crater
wild jay
#

what

dawn basin
#

Hi, sorry if the question is already answered elsewhere, but I wonder : If I want to ask a question in the help channel, how can I show my work ?

wheat bronze
#

you can post a picture of your work from what ive seen

dawn basin
#

Ok thanks you

neat lintel
#

Silliam Nowan Hamilkon

bronze fossil
#

Happy start of Christmas boys!

vast surge
#

Happy Christmas!

primal crater
#

what happened to KMP

fair mural
#

too much trolling

primal crater
#

haha jokes on him then

neat lintel
neat lintel
#

if bread is his flesh, and wine is his blood

#

then

#

what's the mayo??

deep mango
#

Secret hitler is so much fun

#

I also love codenames

brave hollow
#

town of salem

deep mango
#

Catan is fun

#

Is town of salem a board game

#

It would be fun to do social deduction games with people on this server

#

Um, I really like the game Avalon

leaden skiff
#

ToS is way too chaotic for me

deep mango
#

Out of the ones listed my favorite game is chess

leaden skiff
#

epic mafia used to be my jam before the site got deleted

deep mango
#

Oof

#

The secret hitler website was always great

#

And then they changed something

#

And I think it sucks now

#

It might have been fixed

#

Oh!!! How could I forget

#

Hanabi

#

It's not exactly a board game but it's so fun

bronze pelican
#

Hanabi

leaden skiff
#

secret Hitler is good but only with friends

deep mango
#

There is an EXCELLENT hanabi website too.

leaden skiff
#

the public lobbies are ass

#

way too hard on the meta

deep mango
#

Yeah

#

Well

#

I think secret hitler could work with people here

#

Cause like

leaden skiff
#

I would love it if this server did events

bronze pelican
#

One of ym favorite songs

deep mango
#

Part of the fun of it is the game to game evolution of strategy

bronze pelican
#

I can almost sing it completely

deep mango
#

(instead of going with some dumb meta)

leaden skiff
#

technically what you described is a meta

#

it's just that the meta was solved In public lobbies very fast

deep mango
#

Yeah but it's more fun when it comes organically out of a group

#

As opposed to being something someone needs to learn

#

Then it offers opportunities for people to change up how they play and try to throw others expectations off

brave hollow
#

bpp and/or garticphone could be fun I guess

leaden skiff
#

bpp?

deep mango
#

Garticphone is great

leaden skiff
#

skribbl and codenames are great party games too.

brave hollow
#

broken picturephone

#

classic gartic

leaden skiff
#

also board game online is criminally underrated

placid quartz
#

skribbl is uwu

leaden skiff
#

and under known

placid quartz
#

codename went above me

brave hollow
#

jackbox party packs were also decent but I got bored after overplaying every pack

surreal sapphire
#

there is a minecraft version of garticphone

#

but in 3d

leaden skiff
#

that sounds epic

fair mural
#

@placid quartz do you wanna play skribble with me sometime

#

i’m not very good at drawing but it could be fun

placid quartz
#

not anytime soon tho, i'm loaded with acads rn sad

fair mural
#

that’s fine

dusty compass
leaden skiff
#

I was not expecting that

fair mural
#

cool

ancient flame
#

it's just cosine

#

lol

honest veldt
#

that's kinda awesome

wild jay
#

give me your computer

fair mural
#

wow

ancient flame
#

what are all of the extra lines

#

oh shit wait

ancient flame
#

I see why it's interesting now

#

is it possible to have something like this for very function

coarse grotto
ancient flame
#

what does the one for e^x look like?

#

shouldn't it look kinda like itself?

neat lintel
#

Desmos gone mad

wild jay
#

butterfly effect

clever knot
#

anyone take physics 2?

#

and know about the term impediance?

#

is impedance considered resistance just that it has some time domain

tall badge
#

nothing about time

#

its just the complex analog of resistance

clever knot
#

hmm

#

but does the "resistance" overall change at a given time

#

in something like an RLC circuit

tall badge
#

no

untold sapphire
#

no

#

impedance is fucking cool

#

but i don't know how to explain it well

#

i mean it's misleading to say it has nothing to do with time lol

#

impedance would be totally meaningless if time were not involved

leaden torrent
untold sapphire
#

the whole point of the imaginary part is to capture the oscillating current

#

instead of the voltages and current being constant they vary as a function of time

tall badge
#

sure. i read the question as impedance having time dependence

clever knot
#

we just did all the calculations with converting between phasor and whatever but i don't truly feel like I understand what it means.

untold sapphire
#

i would focus on understanding it graphically. The magnitude of the impedance phasor determines |V|/|I|

#

and the phase of the impedance determines arg(V) - arg(I)

clever knot
#

i am trying but I can't find any simulation

#

I just wanted to screw around and see the different values/ graphs or whatever.

untold sapphire
#

gotcha

#

idk, i gotta go right now but i'll be back on later

clever knot
#

seems perfect 🙂

neat lintel
#

Hi?

neat lintel
#

No

wild jay
#

ttt

pale orchid
crystal stream
#

think we used that one at my university

stray kite
#

Do courses other than your majors and minors you do in uni show up in your certificate or smth? How do you ever show that you've done courses in that subject?

pale orchid
#

they usually do, in a separate part of your transcript to show they didn't contribute to your grades/credits

stray kite
#

I see

primal crater
vast surge
#

Who else is taking the Putnam this Saturday?

primal crater
wild jay
vast surge
# wild jay is it free

It's free for me, but I don't know if it's because it's actually free or if my school's covering the costs.

wild jay
#

so u can't participate it 'unofficially'

#

well I'll just look at it when the questions get on internet xd

vast surge
#

No, I wasn't interested in the unofficial one.

wild jay
#

well good luck xd

deep mango
#

The putnam problems are usually released right after the exam, everyone is allowed to take the question sheets with them

turbid epoch
#

How hard are Putnam problems? I can't even do basic IMO so I wouldn't know.

leaden torrent
#

you can read them

#

theyre all freely available

#

certainly not as "hard" as IMO though

#

more prereqs but the problems themselves are a bit easier to approach

light needle
#

I am taking the putnam tomorrow

surreal sapphire
#

gl hf

light needle
#

I was gonna like practice and shit but like decided not to

#

my score on this isnt important and i didnt wanna sit through like combo problems or smth lol

surreal sapphire
#

mood

#

does doing well get you anything

light needle
#

if ur like top top you get a few thousand dollars

#

but like i wasnt getting that with a few weeks of practice lol

#

I will still be top at ASU tho probs

surreal sapphire
#

bottom tier school moment

light needle
#

i will get recognition for that

#

yea lol

neat lintel
#

putnam isn't actually that hard

#

if you look at the solutions before attempting it

vestal river
sick burrow
#

Yoo same

vestal river
#

Yoooo

vestal river
light needle
#

isnt it tomorrow

#

did i misread lol

#

also lmao wait ur at ASU too

#

yeah i misread

vestal river
light needle
#

its on saturday

#

i see

vestal river
#

Are there usually a lot of people signed up

light needle
#

i did it last in like 2019

#

i think there were like 10 ppl then?

#

maybe a bit more

vestal river
#

Oh nice and small I like that

#

I haven’t taken it since 2019 too

#

Well I guess I’ll see you at lunch Saturday lol

light needle
#

yeah lolz

#

how did 2019 go if u dont mind sharing 👀

vestal river
#

Well I was a freshman in calc 2 so I got a 0 lol

#

But I think this year I’ll at least get a couple

light needle
#

i see

vestal river
#

Didn’t prepare as much as I wanted to

light needle
#

maybe i should spend today and tomorrw just prepping

vestal river
#

Finals sully

#

I’m gonna prep for my mat 472 final in the hopes that it reminds me of enough analysis to do ok

light needle
#

makes sense

#

I just need to get reused to like

#

competition style stuff

vestal river
#

Yeah true true

#

They can be a bit contrived

ancient flame
#

thanks for showing me, I appreciate it!

deep silo
#

need help

mint patio
#

good luck john

bronze pelican
#

Get rekt john

sick burrow
#

"Look guys I found this equation on reddit please tell me I'm smart"

surreal sapphire
#

i think you overestimate the ability of your professors to care

leaden torrent
#

theyll just think youre a dork

surreal sapphire
#

(not a serious suggestion)

leaden torrent
surreal sapphire
#

oh, they have even more cringe

fair mural
#

tell me i’m not the only one that would get this

dire mulch
#

Don’t physics people sometimes use dot on top for derivatives?

fair mural
#

that’s newtons notation

#

this shows why it’s trash

#

the y with a line is newtons integral

#

lagrange integral is pretty bad

#

you have to admit that leibniz partial derivatives look amazing though

dire mulch
#

Leibniz was the first derivative notation I saw when I was in high school. Looked mysterious.

trim stratus
#

It's so amusing when people who don't know calculus just try to cancel the d's

#

When people who do know calculus do it then it's just a really bad joke

wild lantern
#

I like Euler notation for derivatives personally.

fair mural
#

i know this logic doesn’t work but it is kinda interesting that dx/dx actually equals 1

#

as if you canceled it like a fraction

#

although i guess they are the same differentials after all

jovial ember
cold needle
#

What

brave hollow
#

I am surprised how this was never recommended to me thanks for the ping chmonkey factos 👍 👀

crystal dagger
#

Imo

brisk glen
#

Hi everybody,

Im new to this server, i'm not a numberphile. Although i like numbers...

... Im looking to speak to someone who is good with and passionate about predictive mathematics, specifically, probability and is good at creating models for resolving these problems. Also highly self motivated.

Is there anyone here that this appeals to?

bronze pelican
#

no

wild jay
#

:(

sick burrow
ancient flame
#

LMAO

sick burrow
#

This reads like a job posting written by someone with the most surface level understanding of the job

ancient flame
#

lmfao

sick burrow
#

Are you looking for someone to help you model the latest pisscoin nft wholesome 100 diamond hands elon musk sigma grindset to the moon trend?

wild jay
#

I am

sick burrow
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WAIT LMAO HE POSTED THAT 3 TIMES

wild jay
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yeah

sick burrow
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As his only 3 messages

ancient flame
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VRUH

nimble shuttle
wild jay
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PRUH

ancient flame
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SHUT UP

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LET ME BREATHE

wild jay
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milk

ancient flame
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mommy

sick burrow
#

Hi everybody,

Im new to this server, i'm not a numberphile. Although i like numbers...

... Im looking to speak to someone who is good with and passionate about predictive mathematics, specifically, probability and is good at creating models for resolving these problems. Also highly self motivated.

Is there anyone here that this appeals to?

ancient flame
#

Hi everybody,

Im new to this server, i'm not a numberphile. Although i like numbers...

... Im looking to speak to someone who is good with and passionate about predictive mathematics, specifically, probability and is good at creating models for resolving these problems. Also highly self motivated.

Is there anyone here that this appeals to?

raven vector
#

Hi everybody,

Im new to this server, i'm not a numberphile. Although i like numbers...

... Im looking to speak to someone who is good with and passionate about predictive mathematics, specifically, probability and is good at creating models for resolving these problems. Also highly self motivated.

Is there anyone here that this appeals to?

sick burrow
#

Before this gets deleted by reddit admins, this asshole took it completely out of context. First of all, the idiot thinks it was a marionette deck. It wasn't. That card's not even in the deck. He was running counterspell draw, this was approximately turn 25, every single creature and spell I cast was countered or removed up until that point and this dumbass who copied his deck from MTG Salvation or Goldfish used one of his last copies of negate to counter a Revel in Riches when he had 0 creatures on the field and I had 0 treasures in play, thus the "this spell does literally nothing" and he should have let it resolve. I love it when people copy a deck and have no idea how to run it or play MTG. I was just throwing it out because I had 5 mana and it was the only card left in my hand and the game was already over anyway. So on the way out I let him know what an idiot he was for countering a spell that does nothing in the current board state.

NOBODY wants to watch a recording of a game where I cast something and he counters it or removes it x30 turns. That's idiotic. I should have left the game the second I saw what he was running. This was the 5th attempt at getting a recording of something resembling watchable MTG gameplay and 5 people in a row were playing Karn draw control loop or free cast torrential graveyard resurrection control or approach control loop. So yeah, I was pissed and he was an asshole for playing this. He's one of those idiots who doesn't care about the other players one bit, it's all about winning. So running 35 control spells seems reasonable because NOTHING matters but winning. Thanks for not showing the board state with library counts or the full log, asshole. Enjoy your temporary ban from reddit.

wild jay
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I feel you.

neat lintel
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LMAO, WHAT HAPPENED.

deep mango
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LMAO, WHAT HAPPENED.

fair mural
#

LMAO, WHAT HAPPENED.

wild lantern
#

OAML, HATW HAPDENEP.

gentle bay
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LMAO WHAT HAPPENED.

turbid epoch
#

Hi everybody,

Im new to this server, i'm not a numberphile. Although i like numbers...

... Im looking to speak to someone who is good with and passionate about predictive mathematics, specifically, probability and is good at creating models for resolving these problems. Also highly self motivated.

Is there anyone here that this appeals to?

#

Bro, imagine if we are clowning a kid right now.

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He just learned all the big words and we're shaming him.

brave hollow
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its not a kid its a job offer from numberphile for their next video 🙂

mint patio
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bro

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this power series shit for ode's is hurtiung my brain

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it all makes sense up until we establish the recurrence relation

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and start figuring out the pattern

last oxide
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actually the even more meme part is finding out what the power series corresponds to at the end

mint patio
last oxide
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the exercises are made in such a way they tend to be elementary functions

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but most of the times they wouldnt be

mint patio
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yeah I figured

last oxide
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actually thats the importance of it

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you can write down an analytic function

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that is not necessarily elementary

mint patio
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are all real valued functions just u(x,y) + iv(x,y) with v = 0 lmao

last oxide
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I mean
of course
isnt that how u is defined

mint patio
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is that how you'd check analyticity using CR on real functions??

last oxide
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no

mint patio
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yeah that doesnt make sense

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do you just use definition then

last oxide
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complex analytic is not real analytic

mint patio
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oh

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real analytic is a diff thing

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ok

last oxide
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well
they are both writing in power series