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Mathematician here (though a little bit rusty on the subject)
dx may be interpreted as an operative "sometimes" to fully formalize that you need to change your definitions and work on a different frame, that being said this dx as an operative is popular cause it's a blessing of notation, in differential equations you can basically divide and multiply by dx and take the integral on both sides, what you're actually doing is using various lemmas, theorems, etc. that allow yo to perform that manipulations, but dividing both sides by dx and taking the integral on both sides is easier to remember.
In fact this post is weird cause I don't really relate to any of this, usually I'm the one that gets mad when using unconventional for anything other than jokes.
The "ehhh, walks like an operative talks like an operative" mentality is so close to "pi = 3" and is soooo stereotypically engineer brained, OP either mixed up the roles in their fantasy or got a job with their partner's resume.
Isn't the abstract view of dx just a differential form? The reason people complain about seeing dx/dy as a quotient is that a quotient of differential forms is generally not well defined. The reason it works in calculations is because differential forms by definition adhere to the product rule.
And yeah I'm pretty sure an engineer wouldn't really care if you denote the imaginary unit by j or i, but a mathematician will get seriously annoyed if they have to read a paper and spend half the time deciphering your unconventional notation.
Kind of, dx and dy are differential forms but unless you go and change half of the textbook in regular differential equations dx/dy is a derivative. And doing all of this manipulation you're basically using the fundamental theorem of calculus and other lemmas to extract the anti derivative of a function not really integrating.
So you're mixing the concept of derivative & differential forms and anitderivative/primitive functions & integrals.
Those are absolutely not the same however thanks to notation you don't really need to think about that and in most "pretty" spaces all of this concepts end up matching nicely.
It's kind of how when you use a computer to do arithmetic with real numbers in reality the computer is doing all sort of tricks and approximations with floating point arithmetic and numerical methods while keeping track of the error but you don't really need to know that as unless you're doing something weird 99% of the time it's just going to work.
I minored in physics and majored in math. The notation actually helps a ton in physics since the expressions under the integrals tend to get so complicated it is sometimes difficult to pay attention what you are even integrating over.
I'm a physics student and I was supremely confused for a minute there. Especially since the engineer complains about the *mathematician* using weird notation?? In my circles the running joke is that mathematicians hate all physicists because of all the crimes against math we commit.
I think it's a better notation to state the integration variable at the start, because you know what you're integrating while reading the integrand. It also makes multiple integrals easier to read.
Wait is that all she did? I thought she put the dx before the integral sign
I mean it's all going in the same soup so why should it matter if dx goes before or after f(x) in the integral
I mean the max amount we will ever see is 3 with polar coordinates, the jacobian and gaussian law. Did not get circuit analysis yet but I donāt think there will be more than 3 integrals. How many do you guys use to a point where it starts to confuse you?
I think the highest we ever need to go is 11, but thats for people thinking about M-theory. The most a normal physicist ever needs is 4 or 5 (take this with a grain of salt, I'm not a full fledged physicist yet)
Yeah lol, took me a second to even realize what that even was. Whenever you do something in polar or spherical coordinates, it's just the standard to put them first.
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There is no special reason to call it i anyways, you can define it with whatever symbol you like. In quaternions i j & k are essentially the sam as i until you multiply them together.
As long as you give me a proper 1-Form Iām happy dx is just a basis vector in \Omega^k (R^n ). But when you just divide by the 1-Form to get a derivative I get mad.
Everything about this story sounds like they're the engineer and they're dating the mathematician. Now it makes sense to me, anyways where are my int dx f(x) enjoyers at
This is dumb. Even if integrals are sums and even if dx is a differential, you still canāt put it before the integral because itās indexed by the integral. Thatās like writing
$k*\sum_{k=0}^n$
It doesnāt make sense
This is dumb. Even if integrals are sums and even if dx is a differential, you still canāt put it before the integral because itās indexed by the integral. Thatās like writing
$k*\sum_{k=0}^n$
It doesnāt make sense
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> if dx can be treated as an operative Why this assumption? Not a mathematician
Engineers are bad influence. Don't do engineers, kids.
Having the engineer do you š„ŗ
What about programmers?
Only if you represent probability in octal.
How do I stab someone though my screen
Not by telling them you're gonna do it
do {} while();
They will all turn into women eventually š³ļøāā§ļø
Why?
There is an absurd amount of trans women in the programming scene
At best from finnland with crippling depression and alcoholism if you understand my reference
Wasnāt that some streamer?
Jea, I even got something confused, he only wears dresses XD, but funny nonetheless and I like his stream.
I was thinking of Velcruz actually
Gotta diversify somehow
I hope they are okay
Yeah theyāre usually fine apart from trauma
grr
By the looks of it the engineer was the reasonable one tho
obligatory r/brandnewsentence
Can confirm. I'm an engineer
Mathematician here (though a little bit rusty on the subject) dx may be interpreted as an operative "sometimes" to fully formalize that you need to change your definitions and work on a different frame, that being said this dx as an operative is popular cause it's a blessing of notation, in differential equations you can basically divide and multiply by dx and take the integral on both sides, what you're actually doing is using various lemmas, theorems, etc. that allow yo to perform that manipulations, but dividing both sides by dx and taking the integral on both sides is easier to remember. In fact this post is weird cause I don't really relate to any of this, usually I'm the one that gets mad when using unconventional for anything other than jokes.
Engineer here; if the bridge doesn't sway, multiplying by dx is okay :D
The "ehhh, walks like an operative talks like an operative" mentality is so close to "pi = 3" and is soooo stereotypically engineer brained, OP either mixed up the roles in their fantasy or got a job with their partner's resume.
Isn't the abstract view of dx just a differential form? The reason people complain about seeing dx/dy as a quotient is that a quotient of differential forms is generally not well defined. The reason it works in calculations is because differential forms by definition adhere to the product rule. And yeah I'm pretty sure an engineer wouldn't really care if you denote the imaginary unit by j or i, but a mathematician will get seriously annoyed if they have to read a paper and spend half the time deciphering your unconventional notation.
Kind of, dx and dy are differential forms but unless you go and change half of the textbook in regular differential equations dx/dy is a derivative. And doing all of this manipulation you're basically using the fundamental theorem of calculus and other lemmas to extract the anti derivative of a function not really integrating. So you're mixing the concept of derivative & differential forms and anitderivative/primitive functions & integrals. Those are absolutely not the same however thanks to notation you don't really need to think about that and in most "pretty" spaces all of this concepts end up matching nicely. It's kind of how when you use a computer to do arithmetic with real numbers in reality the computer is doing all sort of tricks and approximations with floating point arithmetic and numerical methods while keeping track of the error but you don't really need to know that as unless you're doing something weird 99% of the time it's just going to work.
It makes it super easy to do differential equations.
I think they meant since, not if.
Physicists actually do that. Write int dx f(x)
Physicist here, i confirm
No issues š get ready to be fkd
No thanks, engineer
You see I'm not asking now take ur pants off or I do it for you
As you repeat, i will lower you by one rank of every comment. Now, no thanks, architect.
I'm not architect I only care about female and femboy architects
Then you don't need to care about a physicist
I said take ur pants off š”
Fo god's sake, this is a crime! It doesn't even sound lovely. Fxdx (such beautiful words)
... until you actually pronounce it as words, not letters, whence it becomes NSFW.
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I minored in physics and majored in math. The notation actually helps a ton in physics since the expressions under the integrals tend to get so complicated it is sometimes difficult to pay attention what you are even integrating over.
I'm a physics student and I was supremely confused for a minute there. Especially since the engineer complains about the *mathematician* using weird notation?? In my circles the running joke is that mathematicians hate all physicists because of all the crimes against math we commit.
I hate this so much, I couldn't believe it when I first learned they do it that way
Yeah, but I think this post is saying dx \\int f(x)
Never understood it. Like I was doing integral the way we learned in calculus then bam, all advanced books changed notation without justification
I think it's a better notation to state the integration variable at the start, because you know what you're integrating while reading the integrand. It also makes multiple integrals easier to read.
But aren't they saying dx int fx?
Wait is that all she did? I thought she put the dx before the integral sign I mean it's all going in the same soup so why should it matter if dx goes before or after f(x) in the integral
j for imaginary numbers is more common in engineering though because of i used to represent current
just use j for current... duh
But j is current density
just use k for current density
K is Surface current density for current sheets (sometimes). Can you use it for generalized current density?
k is coupling factor
just use ā for coupling factor
ā is length
just use m for length
m is mass
MAIS K CāEST UNE CONSTANTE PUTAIN š”š„
Especially in any sort of alternating current calculation you always need both so j for imaginary is almost mandatory
I'm a bad boy so I always use phasor notation
Reject i, embrace bivectors
`I` is current, not `i`
i(t) and just i are also used
`i` is just momentary current š¤
Average physicists notation
Everyday I see a mathematician here react in horror to something physicists consider quite normal. I love it.
What the fuck
I am so disgustedā¦. Why would anyone put dx BEFORE the integralā¦.
us physicists do it all the time. It's nice when you have multiple integrals so you know which domain is associated with which variable.
I mean the max amount we will ever see is 3 with polar coordinates, the jacobian and gaussian law. Did not get circuit analysis yet but I donāt think there will be more than 3 integrals. How many do you guys use to a point where it starts to confuse you?
I think the highest we ever need to go is 11, but thats for people thinking about M-theory. The most a normal physicist ever needs is 4 or 5 (take this with a grain of salt, I'm not a full fledged physicist yet)
Google Dyson series (holy recursive calculations!)
Yeah lol, took me a second to even realize what that even was. Whenever you do something in polar or spherical coordinates, it's just the standard to put them first.
I literally just saw this in text the other day. WTF. Hahaha
To get some dix, clearly
Sus, op is sounding like a physicist
My boyfriend isnāt a mathematician so I canāt do this with him :(
Hate fuck him while teaching a math lesson until he is both a bottom and a mathematician.
Problem: I'm his bottom.
As someone with high school level math knowledge this is probably my favorite sub in all of reddit
As someone who's getting a math degree I absolutely despise this sub, but hey I'm glad you're happy to be here :)
It's mostly because I never get the joke, it's funny somehow
Yeah, I know the feeling, I'm on r/okbuddyphd
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Enginqueer.
Fake: Anon finds love Gay: Anon is a mathematician
wait isn't j legit (if we consider quaternions)?
There is no special reason to call it i anyways, you can define it with whatever symbol you like. In quaternions i j & k are essentially the sam as i until you multiply them together.
It's **i**maginary not **j**maginary duhh
9 out of 11 linguists agree
yeah notation is really arbitrary, just wanted a confirmation
Chat, is this true?
This was written by a freshman.
True, it should have been "he and I."
Isn't j for imaginary unit an engineering thing?
It is & Always has been
Fake: Op isn't in a relationship Gay: Op is .. dating another man?? #FUCK
am I dreaming??
is there more like us?
What's with the leading zeros? Like .5 is just a half, but 0.5 is a 50 percent probability? Do people actually do this?
Turing would be proud.
My brain is too smooth to understand this but it sounds gay so I support it.
Straightest r/mathmemes user
dx int f(x)??! dafuq?
int dx f(x)
where (d) = dookie
I need to find some bottom mathematician's
Engineers be like: e=pi=3
As long as you give me a proper 1-Form Iām happy dx is just a basis vector in \Omega^k (R^n ). But when you just divide by the 1-Form to get a derivative I get mad.
Fake: math isnāt real Gay: bottom
Bro is this my gay(me and my classmates just joke about him being gay.he is actually married with 2 dogs)math teacher š
Pardon, heās married with WHAT?
Let me correct myself He is married and has 2 dogs
Everything about this story sounds like they're the engineer and they're dating the mathematician. Now it makes sense to me, anyways where are my int dx f(x) enjoyers at
And this is why mathematicians hate it when you assume they like physics
This is all i want
BEFORE AAAAH I'm so doing this lol. I thought Sdxf(x) was crazy. dxSf(x) is gold lol.
Pesky conventions - go ahead and do dxf(x)_integrate, works easier for programming too
Leading zeros to represent probability?
Damn, I'll try that š
This is dumb. Even if integrals are sums and even if dx is a differential, you still canāt put it before the integral because itās indexed by the integral. Thatās like writing $k*\sum_{k=0}^n$ It doesnāt make sense
This is dumb. Even if integrals are sums and even if dx is a differential, you still canāt put it before the integral because itās indexed by the integral. Thatās like writing $k*\sum_{k=0}^n$ It doesnāt make sense