You should be able to solve this.
>tfw forgot the formula
this is basic shit if you can remember it
Pie
>>139224212
>>139224212
it has 0 volume because cones don't make any sound
I think the formula is 1/3b×h or some ahit
>>139224399
2pi r h/3
>>139224336
Definite integrals is really the easiest way to determine the volume of any solid. It should be thought at primary school.
Seriously guys, who should be able to solve this. It's basic as fuck elementary schooler math.
>>139224321
its a cone shape, a pie is circle shape anon.
>>139224425
Taught btw, math is my forte not english
>>139224212
V=π/3r^2h
=π/3(1^2)(3)
=3π/3
=π
πcm^3
>inb4 x-7=19-x, unsolvable riddles, millennium problems, STEM dick measuring
>>139224425
Unless you're going into the STEM business, there's no reason to need to know the volume of any solid other than some simple elementary shapes like spheres or prisms.
In those cases, a simple intuitive formula is enough and it makes sense to most children.
Why would you want to teach children calculus before they're even able to do simple algebra?
>>139224554
Do your work or your answer doesn't count.
Man, I feel fucking dumb because I don't remember this being taught in elementary.
>>139224212
Errr. Isn't Taiga supposed to be an English teacher?
>>139224624
This is Fate/Kaleid Liner Prisma Ilya, Taiga is an elementary school teacher in it.
>>139224425
>calculus
>primary school
>>139224607
I don't think they do in America, I didn't learn basic formulas for this stuff until my 2nd year in highschool. Which is really sad.
>>139224601
V = π(1^2)(3/3)
V = π(1)(3/3)
V = π(3/3)
V = π(1)
V = π
>>139224425
>expecting 5th graders to know calculus when they don't even know basic algebra/trig
>>139224725
I started learning formulas in 8th grade (middle school).
>>139224709
Calculus is nothing but applied algebra.
>>139224212
>volume of integration
Step it up, family.
I wish I wasn't so shitty at math.
It takes me like 30 minutes to do these word problems on implicit derivatives.
>>139224804
It isn't though. You're not longer doing algebra when you introduce continuity. You're now doing analysis/topology.
Then again I won't expect memers on /a/ to know the difference.
>>139224804
hardest part about math is applying it to real world situations effectively.
>>139224595
The intelligence of children is greatly undermined i think.
Calculus is also genuinely interesting, as it opens a door leading to the comprehension of a great part of the natural world.
>>139224862
Omega is pure because it's a virgin, and a virgin eating pie is about as simple as you can get, so it can't be reduced.
>>139224904
I didn't say that calculus is algebra.
Is math invented or discovered?
>>139224962
>Calculus is nothing but applied algebra.
>I didn't say that calculus is algebra.
>>139224999
Math is the invented language of our discoveries.
>>139224425
solve it using calculusi would do it myself if i still remembered how
>>139225004
applied ≠ is
>>139224999
https://www.youtube.com/watch?v=XFDM1ip5HdU
>>139225034
Hilariously wrong. Mathematics is the combination of concepts and formalization. The former is discovered while the latter is invented.
t. Mathematical physics PhD student.
>>139225082
>something becomes not that something when it's applied to something else
Boy you're not very bright are you?
>>139225094
>concepts
>discovered
retard
>>139224999
Neither, it's more like literature.
Take, for example, a drawing of a flower, that drawing describes the form and characteristics of that object.
Math is somewhat akin to that in the sense that in helps describe certain elements of the universe that surrounds us.
>>139225094
>Mathematical physics
Do you take a class in chemical chemistry as part of it?
>>139224212
1.5 cm3
- retard
>math
You literally have to be a literal masochist to enjoy this stupid pretentious overcomplicated shit.
Prove me wrong.
>>139225135
>doesn't understand how mathematical research is done
>>139225139
>hurr physics is just applied mathematics
>>139225097
always finds a way
>>139224212
>>139224290
>>139224304
>>139224321
you clever motherfuckers
>>139225127
>put to practical use <applied art>; especially : applying general principles to solve definite problems <applied sciences>
Omelets are made of eggs, but eggs are not omelets.
the answer is :
K = 289,252.252cm^3/min
I'm just wondering as a business major am I ever actually going to use any of the stuff I learn in Calc/Calc2?
>>139225127
That's true though. Otherwise literally everything is math.
Would you call a house applied wood?
>>139224336
WHAT THE HELL WHY IS SHE USING INTEGRALS??
Aren't they highschoolers? Why the hell is she using integrals to solve a friggin cone if she's a highschooler?
I'm on second semester of Chemical Engineering degree and I've just started learning this.
Is my country's education system that shitty or japanese just like to show off an exaggerate things?
>>139225097
For fuck's sake.
>>139225097
I wanted to forget.
>>139225181
>doesn't understand what concepts are
retard
>>139225212
>Aren't they highschoolers? Why the hell is she using integrals to solve a friggin cone if she's a highschooler?
She's 11. It's probably part of the joke.
>>139225212
She's a elementary schooler, and the joke is that she is a mary sue in every area except socializing.
>>139225097Threadly reminder that you should stop posting that because it's a thing.https://www.fictionpress.com/s/3206139/1/
>>139224212
Base times height / 2 , square that, multiply by pi.
>>139225196
>>139225211
>making false analogies
Study algebra and analysis before you comment. I guarantee you you won't be making algebraic arguments in analysis unless you're doing operator theory.
>>139225249
Do you not sleep?
>>139225097
how do you solve?
>>139225271
I'm pretty sure it's multiple people at this point.
>>139225097
UNSTOPPABLE
>>139225231
>he's anti-Platonist
Fucking dumbass.
>>139224212
She a fucking English teacher why the fuck is she teaching geometry?
ITT go to /sci/ Photoshop some homework onto anime and bring it back
>>139225271
It's part of the maymay now.
>>139225135
Math is discovered, not invented.
>>139225297
>he's a Platonist
failed-sophist
>>139225300
Isn't Taiga a generic middle school teacher in Prisma?
Doesn't even teach at Homurahara Academy.
>>139225281
Look at your keyboard.
>tfw when you remember Calculus would take a simple formula for this and make you integrate it into pure retardedness.
>>139225330
>memeing like an autistic philfag
As expected
>>>/his/
>>139225322
shut up retard
>>139225364
>>>/co/
>>139224904
Holy shit you're retarded. You are applying algebra to do calculus. How the fuck do you not understand this?
>>139225337
I dont know.
I just know in Fate she was a English teacher.
>>139225384
>limits is algebra
You're a goddamn idiot holy shit
>>139225268
I guess all those calculus professors were just tricking me. Silly me, I guess I was just doing pretend math.
>>139225212
If you're second semester and only just learning it, yes your country sucks in education.
Calculus is taught in highschool man
>>139225412
You apply algebra to do limits you fucking retard. I suggest you learn english before posting in this board.
>>139224212
The answer isTaiga is best girl.
>>139225342
I still don't get it.
>>139225429
Calculus is taught in middleschool for me
>>139225434
So you don't understand what algebra is. Go ahead and tell me how you're going to using group theory to do limits, fucking dumbass.
>>139225044
theta is between 0 and 2pi
rho is between 0 and z/3
z between 0 and 3
triple integral rho drho dz dtheta
gives pi
>>139225426
All math that's not proof-based is pretend math. You're cucked out of a decent education by your shitty profs.
>>139225469
Calculus isn't taught, you are born knowing it.
>>139225451
You're dense. It's alright, I was dense too.
Above , is the the letter K
E
To the left of O is the letter I
To the left of Y is the letter T
-
To the left of S is the letter A
To the right of U is the letter I
KEIT-AI
Examine the image and you'll understand why we go to those specific letters.
>>139225469
Wish I was taught it in middleschool, learning the same stuff in trig was so fucking boring
>>139225429
In America Calculus is only taught in AP classes, and even then most people have to retake it once they go to a university.
>>139225482
>algebra is limited to group theory
Retard.
>>139225556
Except that it is, fucking dumbass. Go ahead and try and do arithmetic without rings and fields, idiot.
>>139225434
evaluating limits using algebraic techniques is pretty fun.
>>139225587
>Except that it is
Oh, I see. I am talking to a literal retard who think he's smart. When will your kind die out?
>>139225429
Damn dude the fact that mi college is ranked 5th in the country for CE only makes me feel more depressed.
I learned how to derivate and integrate really simple stuff (like acceleration) in highschool, but I don't remember ever using it to determine the volume of 3D objects.
>>139225619
>still doesn't understand the distinction between algebra and analysis
All of arithmetic operations is based on rings and fields, which are generalizations of groups. You're not memeing yourself out of this one, dumbass.
>/a/ - math science and people avatarfagging anime
Every time we have one of these threads
>>139225695
Fuck off newfag
>>139225363
>that feel when when
>>139225538
Just to give you a different perspective, in American community college entry-level physics courses people think this shit is black magic and 40% of students actually just drop the course with this shit comes up.
>>139225669
>still thinking that algebra is just group theory
>memeing
Back to >>>/v/ with you. You'd fit well with them.
>>139225757
>just
Lacking reading comprehension?
>>>/lit/
>>139225502
Is this one right?
>>139225772
Its you who lack comprehension dipshit. Go ahead and think that apply = is dumbfuck.
>>139225772
>going to /lit/
Do you enjoy the smell of garbage on a hot summer afternoon?
>>139224738
you forgot your units, buddy. so yes, i would like to know more.
>>139225804
And you think the proof techniques would change just because you've applied it to something else? Just how stupid are you?
>>139225813
To be honest I fucking hate /lit/. Don't tell them though.
>>139225840
Types* of proof techniques
>>139225487
It's a cube, isn't it simply (A_oA_o')^3?
>>139225695
newfag piece of shit
>>139225710
>>139225877
Could you make your samefag any more obvious?
>>139225840
When did I say that, dumbfuck?
>>139225212
I learned this in the beginning of my senior year in high school. We basically found the volume of any fucking shape about any axis. Spent a whole 2 months and change on that shit. Come on, man.
>>139225910
Literally when you said that calculus is just applied algebra, kid. Nice try
>>139225922
>Spent a whole 2 months and change on that shit.
I wish my highschool math classes spent more than 5 seconds per topic.
>>139225719
Well that's community college for you. 60 pct people whose ability actually matches the college or who want to save money on fundamental classes, 40 pct lazy fuck ups and retards. Those figures can fluctuate.
>>139225946
Haha oh wow. You're really lack reading comprehension. Saying "applying algebra to do calculus" is the same as saying "calculus is just applied algebra?" You are literally fucking retarded. Get off /a/ now before you infect everyone with your stupid.
>>139226014
Good job shifting the goalpost son, your first time?
Get off the internet, boy.
>>139225487
Crystal symmetry...
i don't even get the translation.
>>139225952
>mfw you literally forget any math higher than basic algebra because you never use it in real life.
>>139226029
Good job listing a fallacy and failing at it, first time? Go read up an english textbook before posting here, faggot.
>>139225952
Well, volume of figures using definite integrals just isn't something you can teach very quickly. There are way too many special cases and methods. Disc about x axis, washer about x axis, disc about y axis, washer about y axis, disc and washer about horizontal axis besides x axis, disc and washer about vertical axis besides x axis, shell method and why you'd use it/when it makes more sense, examples where you could use disc/washer OR shell method and understanding how to do both. And many more exceptions and applications. It's a lot, if your high school Calc course is good.
>>139226086
>this aggressively wrong and stupid
Your parents must be proud of you. I would spell it all out for you but that'd actually take effort on my part. Think about what you disagree with and what you just said carefully before commenting any further.
>>139226136
>implying I give a shit about the original anon you replied to
Then again, I am replying to a retard, can't expect much from your kind.
>>139226177
Lmao absolutely typical. Bails the moment you realized that you're embarrassingly wrong.
Let this be a lesson, fuckboy.
>>139226197
>lol im right ure wrong
Whatever lets you sleep at night, kid. Go get reading comprehension before posting here again.
>>139226225
>Go get reading comprehension
Probably the most awkward phrase I've ever read. You have much more dire things to worry about than me or this argument on the internet.
>>139226256
Probably because you're retarded. But hey, let retards be retards. You're happy that way.
>>139226282
Seems like "retard" forms the entirety of your vocabulary. Quite sad really.
>>139225097
SE-,YOU?
>>139226324
You should stop feeling sad for yourself anon. Stop projecting, it will make you feel better.
>>139226332
Check the indents on the chocolate, then check your keyboard (QWERTY)
>>139226066
Memorizing for the sake of saving 5 seconds in cancer. You don't forget how to do math, it's just the formalities and equation shit. Any monkey can look them up, so holding that information in your head forever through endless hours of repetition is nothing more than a convenience for those who have the need.
>>139225212
>>139225212
>Second year chem eng
>just started learning integrals
Literally Filipino
>>139225212
>second year
>doing first year material
Ask me how I know your degree is going to be worthless.
>>139224212
>tfw you were good at math back in the day but you have forgotten almost EVERYTHING
>>139226504
I know this feeling well. All I have retained is the knack none of the knowledge. I pick it up easy and see how to interpret and manipulate applied formula and equations but all my physics is gone.
All I need for my career is a robust understanding of statistics though and I'm fine with that side of things.
Mathfags like to wank on but unless you actually need it or lack the capacity to pick up math concepts on the fly it really isn't a big deal.
>>139226623
>Oh boy let's repost the same shit over and over
>>139226504
>you were good at math back in the day
The math you are probably good at could be solved way faster by a computer anyway.
Don't feel like you've gotten worse. You were never any good in the first place.
>>139226504
I'm in my 4th year of EE, and all I've learned is that I'm a moron.
>>139226089
Finding the the volume of ANY shape rotated about ANY axis is piss-easy. There's no need to worry about washer/disc nonsense. Just make sure you define your limits and variables correctly, and then rotate by integrating pi*(f(x))^2 dx, or whatever your axis of rotation is. Simple.
>>139226897
I understand what you wrote but I will never remember it.
>>139226897
It sure is piss easy until you're made to find the volume and surface area of 1/x.
https://en.wikipedia.org/wiki/Gabriel%27s_Horn
>>139224336
it's easier to start with 0 at the vertex.
integral 0 to 3 A(y) dy =
integral 0 to 3 pi (y/3)^2 dy =
pi y^3/27 (bounds 0 and 3) =
pi (3^3/27 - 0^3/27) = pi
>>139225633
Read that ebook.
http://betterexplained.com/calculus/lesson-1
>>139228032
2 into 8?
>>139228032
>four of the boxes
>with blacks
>implying I remember shit from 12 years ago
>tfw doing integrals at institute
>tfw i have exam abou this shit tomorrow
Im just going to fucking fail
>>139226445
>>139226467
>He said second semester
>Not knowing the difference between year and semester.
Like you're one to talk.
>>139228159
>doing what should've been done in middle school in second semester of uni
Lmaoing @ your life
>>139228159
>college
>just learning Calculus
oshit nigger what are you doing!
>>139228357
Noice
>>139228357
It says to fill the squares with black, not red. The fuck are you doing?
>>139226504
Not only have I forgotten almost everything USEFUL, but I can't forget all the horrible incidents.
Burn them all. No mercy.
>>139228500
Who gives a shit?
>>139225212
She's literally perfect.
>>139224212
I don't remember, besides i took the way of the faggots and i'm studying music and musical production ha
No, I shouldn't be able to. Do I look like some kind of a nerd or what?
>>139228857
>Do I look like some kind of a nerd
You really want someone to answer that?
>graduated just a year ago
>already can't remember that shit for shit
It's not like I was good at it in the first place, but in my country I had above average score despite how sure my teacher was that I would blow it.
>>139224336
If you use a formulation which you have not yet been taught, you firstly have to define/prove it.
Define the symbol "∫".
If you can't, you're just doing an awkward imitation, using a tool you don't understand.
That is not a mathematics.
This thread
Can we talk about Fujii-nee instead?
>>139225429
Depends on the type of school that you do. Unfortunately I only did 4 years of math
>>139224212
>tfw slept through school
>don't even remember the limited shit i thought i learned
I should probably just start robbing banks at this point.
>>139229570
You'd fuck it up anon
>>139229597
Yeah, probably.
>>139225097
I remember this. What was the original message again?
>>139224709
>>139224794
In the 50's formal set theory was taught in elementary before basic arithmetic. This created one of the greatest generations of mathematicians ever to exist; in the 60's, freshman maths was comparable to what's now post-grad level math.
FUCK YOU KURISU! A FEW MORE MONTHS IN GRAD SCHOOL AND I WILL SOLVE ALL YOUR SHITTY PROBLEMS, I SWEAR TO GOD.
A section going perpendicular to the basal circle and through the tip shows that it's a right-angled triangle, with basal radius r and height h. Define r(x) as the radius of the cone at height x going from the tip and consider that the slope of the cone is constant, which means r(x) is linear with boundary values of r(0)=0 and r(h) = r. From this follows that r(x) = x / tan(alpha) = x * r/h with alpha being the the angle of the cone mantle. Now integrate pi * r(x)^2 from x=0 to h, which leads to 1/3 * pi * r^2 * h. Insert values at your own discretion.
But will this math allow us to harvest Suns?
>>139225502
>>139225793
I tried it in my head and got Pi so probably unless I fucked up.
>>139230307
My math will make anime real.
>>139230307
Yes.
>>139226504
The most advanced stuff I can remember how to do is basic algebra. It hurts.
>>139230403
Fitting that you posted a stupid goddess.
>>139230395
Sure but when?
I mean knowledge is good and all but unless this math will help make rich people richer I don't see how it's useful to mankind.
>>139230451
Tomorrow.
Fucking nips and their obsession with maths.
>owarimonogatari
>that 15 minute talk about exp(i*pi) + 1 = 0
For God's sake, it was cringy as fuck. The only thing that formula means is that if you take (1,0) in C and rotate it 180 degrees counter-clockwise about (0,0) you'll get (-1,0).
>>139230684
It's a pretentious series that caters to pretentious faggots, you really shouldn't be surprised.
>>139230747
At least the banter is usually entertaining. But its ability to talk the whole episode about fucking nothing gets on my nerves sometimes.
>>139224212
You want volume or surface area
>>139224336
Why use integrals when you can use 1/3 pi r square h
>>139224425
You mean double integrals? Definite integral will give you area.
>>139230907
Depends on what you integrate. In the most general case you'll have a triple integral.
>>139230972
What?
>>139225514
>tfw Dvorak
>>139224212
bout tree fiddy
>>139227087
this equals 0.
>>139225097
Can't defy the Keit-ai!
>>139224212
Pi is 3 so 3cm^3
>>139224212
Another quiz then
50 smart people were captured by aliens.
They will be imprisoned separately. Each day the alien will take 1 random person into a same room, where there are only 2 lamps in it, RED LAMP AND BLUE LAMP, with 2 switchs, which can only be used to turn on and turn off those lamps.
This will last forever, until any of those 50 person say "ALL 50 OF US HAVE ALL BEEN IN THIS ROOM". If he/she tells the truth, they will be free. If it's not true, they will die.
Those people have 10 minutes last meeting to discuss the strategy. Which is the best thing they can do?
Both of the lamps were turned off in the beginning, and only those 50 people will turn on or off those lamps btw
>>139224212
>>139232085
This is really simple to solve with elementary geometry, but I think this is fucked and there doesn't exist such a triangle, if I remember right.
>>139225097
>>139232078
Fuck off already.
>>139228500
https://www.youtube.com/watch?v=BKorP55Aqvg
These threads always make me feel retarded.
I don't even know what an integral is. All I've done is work in heavy construction for the past 5 years. I dropped out of highscool in 10th grade.
>>139232231
>that scene knowing about the ending
wew Goto have some self respect.
>>139232394
Don't you have to be competent in math to get a job in construction though?
>>139232172
Completely wrong. It's really simple to solve with law of sines, and doing so shows that there exists a solution. Now do it without trig.
>>139232394
>I dropped out of highscool in 10th grade.
Have you considered that you might feel retarded because you are retarded?
>people still think you need to know formulas
Just use a fucking computer.
>>139232383
It spells Keit-Ai, not Umaru.
>>139232231
The previous episode was more of a tearjerker.
>>139232394
You can learn if you want
>>139225212
Enjoy your shit degree
>>139233031
FUCK YOU
>implying math majors are part of the STE elitist triumvirate
Enjoy your no jobs faggot, I'm doing CS and taking advantage if the current bubble
>>139233702
Enjoy your no job, Indian programmers always do better with lower salary.
>>139225530
This and statistics had got to be the most shittiest units i had ever done back at highschool.
>>139228357
wew lad
>>139226623
28
right?
>>139224336
I didn't learn integrals in Elementary School.
>>139232231
>>139233031
This was the most action-packed episode!
>>139232792
Let F be the intersection of AE and BD.
AFB = 180- 60 -70 = 50
Therefore
BFE = 180 - 50 = 130
BEF = 180 - 20 - 130 = 30
Likewise
AFD = 130
ADF = 40
Let s = FED, x = CED & y = CDE, z = FDE
System:
s + z + 50 = 180
x + y + 20 = 180
s + x + 30 = 180
z + y + 40 = 180
Or
[1,0,0,1] [s] [130]
[0,1,1,0] . [x] [160]
[1,1,0,0] [y] = [150]
[0,0,1,1] [z] [140]
Simplifed as M.X= [130,160,150,140] (cauchy problem)
det(M) = 0. There are either no or an infinity of solution.
Resolving the system gives has one of the four equation simplifies itself in 0 = 0, so we need to declare a parameter (let s = t) which simplifies it into
s = t
z = 130 - t
x = 150 - t
y = 160 - x = 10 + t
For exemple t = 10 is a solution for whom all four angles are positive.
>>139225242
I think it's because she hasthe knowledge of almost anythingbecause she's acompleted holy grail
>>139237115
>Let s = FED, x = CED & y = CDE, z = FDE
You need something like s+x+y+z+EFD+ECD=360 to reduce the number of solutions.
>>139232231
>writing messages to himself
Full on schizo.
>>139230867
That formula was found by using integrals FYI
You should be able to solve this.
>>139238102
>That formula was found by using integrals FYI
It actually wasn't.
We knew the formula for the volume of a cone long before the advent of calculus.
>>139238117
That's retarded
z = 1
y = 1
x = 1
>>139224212
1/2 volume of the cylinder
>>139237849
You realize that if
s + z + 50 = 180
x + y + 20 = 180
s + x + 30 = 180
z + y + 40 = 180
is noted
(1)
(2)
(3)
(4),
s+x+y+z+EFD+ECD=360 is (1) + (2), right?
>>139224212
(1²π3)/3
It's π.
>>139225212
Its just Japan don't worry about it, white piggu won't understand.
>>139238196
That's *a* solution. Can you prove uniqueness?
>>139238157
>he thinks Newton invented calculus
>>139238157¸
You're right!
https://www.math.ku.edu/~roitman/HistoryNotes.pdf
>>139238196
>>139238303
z = -1
y = -1
x = -1
>>139238266
Oh I see, your system is underspecified not because of number of angles but because it doesn't exclude angles outside (0,180)
>>139238117
2(xy + xz + yz) = (x + y + z)^2 - (x^2 + y^2 + y^2) = 6
xy + xz + yz = 3
3xyz = (x^3+y^3+z^3) + 3(x+y+z)(xy+xz+yz) - (x+y+z)^3 = 3
xyz = 1
So x,y,z are the solutions of the cubic:
0 = (t - x)(t - y)(t - z) = t^3 - 3 t^2 + 3 t - 1 = (t - 1)^3
This implies x=y=z=1 is the only solution.
>>139230867
Because it's easier?
You don't need to memorize a retarded formula and plug and chug for this.
>>139238440
The Greeks did it first, though, and they used integration to do it.
>>139226392
Same with history classes focusing on memorization of dates and shit like that.
>>139224212
>nobody posting the original
>>139238694
Anon, I'm a graduate student in mathematics.
If you actually think using a triple integral to figure out the volume of a standard cone is easier than just jumping to the formula you're fucking retarded.
It's not easier. It's definitely not faster. Fuck I can calculate the volume of a cone using galois groups but I don't because I'm not a pretentious show off.
>>139228439
Public schools
>>139238868
>I'm not a pretentious show off.
>claiming credentials
ok
>>139238868
If you actually think that it's worth memorizing the formula to calculate the volume of a cone, you must have severe brain damage.
You'll never make it with that attitude.
>>139238793
-7 = 19
ez
>>139239010
I mean, this could be true for relatively small values of 19.
>>139224212
What was even the point of the definite integral? It's an inefficient method when you fucking know the equation.
>tfw drop
>tfw only ever did well in history and english
>tfw never stem
>tfw forever a pleb
>tfw garbageman
Should I just kill myself now?
>>139239147
Sounds like a chill job, better than being a janitor desu senpai
>>139239147
here
Tried to kill myself, couldn't solve for angle of bullet to brain, also couldn't solve for time to drop zipper to time to pee, so I shot my ceiling, and pissed myself.
Gonna try pic related. Hope it works out.
Goodnight /a/
>All this math
>>139238717
>integrals
>greeks
What
>>139238940
Not him, but if you wanted to integrate to the formula then she should have done it in her head, it'd a trivial integral anyway
Putting it up is nothing short of showing off, since it will only serve to confuse her classmates and is at any rate wholly unnecessary in any class save introductory calculus where the problem specifically asks for you to do it via integral.
>>139239147
Come join me, majoring in history and then being unemployed forever
>>139238515
what a retard
are you telling me -1+ (-1)+(-1) = 3
>>139239459
>Putting it up is nothing short of showing off
And doing an integral in your head isn't?
Shit son, I can't even solve x^2-4x+4=0 without writing it out. Too much work on paper/blackboards.
>>139225206
what the fuck is it really expected that people find an answer to that
>>139239596
>I can't even solve
Maybe you're a pleb then?
>and doing an integral in your head isn't?
No, because you'd jump straight to
>V = (\pi)(r^2)h/3 | h=3, r=1
By doing an indefinite integral (which is basically always the better idea anyway so you end up with a nice pretty equation) and plugging in the numbers, you wouldn't write the integral on the board and disrupt the class by causing an uproar and confusing the other students.
>>139239707
>>139225206
But this is trivial. Granted the stupid-ass fixed numbers are retarded, it should've just been variables because after the general formula has been found it's just calculator work, but this shit isn't hard at all.
>>139225206
Everyone working even in high up banking and risk management that they only use high school level maths. But since they know what they're doing they're better than others.
>>139239812
i know* say*
>>139239812
>risk management
>high school level math
I guess it depends what exactly you're doing, but calculus is a thing in risk management.
>>139225206
They're useful to know but depending on what you're planning to do, probably not.
>>139225212
>second semester
>fucking Chem Engineering
>just learned definite integrals
Hi shit education.
>>139239346
/sci/tards have an RSS feed for "you should be able to solve this" threads
ITT: stupid americans who didn't have calculus in high school :^)
>>139225206
Is this supposed to be calculus? Isn't it just goddamn algebra?
>>139239596
>I can't even solve x^2-4x+4=0 without writing it out
It's {-2;-2} btw.
Man, this brings back memories of the first time I ever heard the word "geometry"
>>139239868
i dont know tehy also say no one else understand what they're doing so no one checks their maths
>>139224212
God is always the answer.
>>139240138
Then become the one who knows what he's doing, able to check their math, and so become more valuable of an employee than those who don't.hint: anyone whose position actually needs math will most likely be qualified
>>139224212
I haven't used math in 6 years though.
>>139239733
>No, because you'd jump straight to
>>V = (\pi)(r^2)h/3 | h=3, r=1
Except if you derive it from first principles you wouldn't jump to the "elementary school students memorize this" form, you'd go to something like pi(1/3 h^3 r^2/h^2)-pi(0) and then simplify, so either way the class would be "confused."
>>139240374
>-pi*(0)
>h^3.../h^2
For what purpose would you even write that out, if you're doing it in your head you'd have simplified the trivial shit away then too. A cube over a square is immediately goodbye, and a zero multiplier is also goodbye.
>>139240461
>For what purpose would you even write that out
To show that you're either being disingenuous or using magical thinking, anon.
>>139240653
Yeah which is my point, she was showing off like the kid she is.
>>139240691
Ah, thanks for admitting that you're using magical thinking. I'm glad we had this discussion.
>>139225212
In glorious ex-communist school systems integrals are 3rd year HS.
>>139240691
>projecting
>>139241942
>implying
She's in a goddamn grade schooler class, where integrals are quite obviously from the content of the lesson far over the heads of the rest of the students
For what purpose would she use an integral if not to show off? Also, I wasn't even insulting her, I was quite literally saying that she's showing off because she is, indeed, a kid.
>>139242011
Mate have you even watched the show?
ITT: pretentiousness
>>139242546
Yeahbeing a grail doesn't mean you aren't a brat
>>139228357
BRAVO
R
A
V
O
>>139239459
Yes, integrals and Greeks. Lookup Eudoxus's method of Exhaustion. They didn't have the same underpinnings or formalization as Western Mathematics had, and they never developed a formal theory of it, but the Greeks very clearly understood the concept of Integral Calculus and used it to great effect. It's only because of that we had such nice neat formulas.>>139239459
>>139244282
>it's the Greeks did calculus meme again
>hurr muh method of exhaustion = limits
Damn retard. It's a long way from Archimedes' principle to limits you dumbass.
>>>/his/
>>139245228
What are you on about? Archimedes was arguably more formal than Newton and Leibniz in dealing with infinite processes. Unless you have studied some pure math, your understanding of limits is at best as good as Archimedes'.
>>139246270
>Unless you have studied some pure math, your understanding of limits is at best as good as Archimedes'.
So you have not studied pure math. That's hilariously false.
Archimedes did not use limits, in the actual sense of word, i.e. metric epsilon-delta arguments or topological neighborhoods arguments. Method of exhaustion relies only on the Archimedes' principle.
>Archimedes was arguably more formal than Newton and Leibniz in dealing with infinite processes
>hasn't actually read Newton or Leibniz
>implying all "infinite processes" are some form of limits
You're a fucking retard.
>>139238868
>volume of a cone using galois groups
What method? I'm just a curious math graduate student, it isn't my field of study.
>>139224804
>>139224904
>>139225384
>>139225412
>>139225434
>>139225482
>>139225556
>>139225587
>>139225619
>>139225669
>>139225757
>>139225772
>>139225813
>>139225840
>>139225910
>>139225946
>>139226014
>>139226029
>>139226086
>>139226136
>>139226177
>>139226197
>>139226225
>>139226256
>>139226282
>>139226324
>>139226363All me
>>139238868
>Anon, I'm a graduate student in mathematics.
Oh really, what field?
>Fuck I can calculate the volume of a cone using galois groups
Oh so you're just lying on the internet.
>>139247839
How do you know he's lying? I've seen all kinds of things done with algebra. I'm very interested.
>>139247955
Galois groups are discrete, volumes of conic sections are continuous.
Algebra can't even prove their own fundamental theorem without some extra machinery.
>>139248104
Ok, I guess you're right. I was hoping for some interesting field construction giving a profinite group with some kind of measure, but more likely the original guy was just blowing hot air.
Nigga I can't even solve this and I have a PhD in math, 300k starting
>>139248398
I meant conics, not conic sections.
But yeah, these closed, non-bounday solids can't be affine varieties, so algebra doesn't even enter the picture.
>>139224212
That reminds me
> fourth year mech engineering
> lecturer asks us what the volume of a sphere is
> silence
>>139248776
Never do math/physics without a formula sheet.
>>139248776
4/3rd pie.r^3 right?
>>139248861
Congratulations, you pass middle school math
>>139248776
What do you think google is for?
>>139248890
Excellent. That ego boot should get me through a few more minutes of shitposting somewhere.
>>139248854
FERMAT'S LITTLE THEOREM
E
R
M
A
T
'
S
L
I
T
T
L
E
T
H
E
O
R
E
M
>numbers
Make it stop. There's a reason I skipped maths and became a wrencher
>>139249013
>welcome to your new school after being sick for months
>why don't you come up to the board and solve these problems
>>139249179
the fuck is a wrencher?
>>139249252
Not sure what shit tier middle school you went to but category theory is standard for 14 year olds where I came from
>>139249468
France or Russia?
>>139249504
Mars
>>139249179
you.... wrench things?
>>139249300
>>139249548
Civilized and smart people call them mechanics.
>>139249468
i wish you wouldn't say such hurtful things
>>139249179
Did somebody say integrals?
>>139224336
Wow, japanese education is brutal.
>>139249664
Please no. I still have nightmares from having to integrate trigonometric shit
>>139224425
I wish they'd taught that shit earlier. I cant even remember what we learned in early year math, probably because I never use it.
>>139249664
>integrals
>hard
>>139248854
Easy. (1+n)^p is 1+p(n^p)+p(p-1)(n^p)/2+p(p-1)(p-2)(n^p)/(2*3)+p(p-1)(p-2)(p-3)(n^p)/(2*3*4)+...+n^p. You take away both the extremes, and all the other numbers in the binomial have p as a common factor.
>>139225212
Let me bet, are you from hueland?because only at second semester that I started integrals, however I was from the accountant course...
>>139249664
I don't even know what the fuck those are supposed to be, I was never taught those fancy curves and V's and whatever letters
>>139250112
Wait, correction. The result is (1+n)^p is 1+p(n)+p(p-1)(n^2)/2+p(p-1)(p-2)(n^p)/(2*3)+p(p-1)(p-2)(p-3)(n^3)/(2*3*4)+...+n^p, but the same ruling applies nevertheless.
>>139250129
Have you not passed the 10th grade?
>>139250129
You mean you never even learnt square roots?
>>139250238
Nope
>>139250249
Nope, they were mandatory in like 7th or 8th class, but it probably shows how well I know them.
>>139249664
Here's something that's not completely babby tier
>>139249468
>14 yo
>topology & category theory
What the fuck
Where?
>people saying integral calculus is taught in high school
no
>>139250433
he's bamboozling you
>>139250422
Ssssh, you'll scare the game away.
Hard mode: find a general solution.
Bonus points if you can prove your solution rigorously.
>tfw completely forgot how integrals work
Anyone have some EZ shit so I can refresh my memory? I used to love the fuckers.
>>139250524
I was taught integral calculus in high school.
>>139250637
what if i write a wedding ring on her finger.
>>139250637
Goddamnit woman, I built a fucking time machine using nothing but a DOS computer, a phone and a microwave. I dont need this shit!
>>139250675
Kurisu only marries guys who can do math.
>>139250716
It's not even the hardest problem in this thread.
You can do it, anon.
>>139250675
Her left hand is in her pocket, so good luck.
>>139250596
Mathematica (and any other competent programming languages) can calculate QM matrix elements in a jiffy. A lot of what's wrong with most QM curricula is that the students are taught numerical computations instead of the actual mathematical theory. A lot of these matrix calculations can be simplified using Schur's lemma and selection rules via group and representation theory so that you don't have to evaluate every single one of them only to have the majority of them showing up to be zero.
I'm good at chemistry.
>>139250869
I'd just write a program to solve that recursively but Im doing other calculus right now. Or should be.
>>139250933
I was good at PE, that's about it.
>>139250657
Fundamental theorem of analysis.
>>139250869
how does this work? is it with the substitution method or am i looking at it the wrong way?
i was thinking first n+1 where n=2 would lead to 3, which then goes into the a(3-1,1), but i'm not sure what to do from there....
In light of all the hard problems in this thread, and the general lack of trig, here's a nice and simple geometry problem, kind of.
>>139250951
It probably would never finish, unless you have a good compiler to eliminate recursion.
Try to find a general solution.
>>139250637
>ackermann garbage
Fuck you.
>>139251063
Its already got a base case right in there. I actually think this was the first problem we did in first year second semester programming.
>>139250875
Senpai what's a QM matrix? Schur's lemma?
>>139251053
A(4,2)=A(3,A(4,1))=A(3,A(3,A(4,0)))=A(3,A(3,A(3,1))) etc.
Solving it in this way might take a while, so finding a general solution may be easier. try taking it step by step by changing certain values while keeping others constant.
>>139251041
>Fundamental theorem of analysis.
You mean calculus? You just need f to be integrable; the derivative need not be continuous.
Also that's only one of the fundamental theorems of calculus.
>>139224212
3,141 cm^3
>>139251150
Transition amplitudes between electron states are expressed as matrix elements in quantum mechanics.
Schur's lemma allows you to deduce if the representation you have of the symmetries of the Hamiltonian is irreducible. Irreducible representations are nice (see >>139224862).
>>139251184
>You just need f to be integrable
You just need the derivative of f to be integrable*
>>139251087Can your compiler run 4,2 or does it take forever?
>>139251147Probably, it's an extremely recursive function that grows outrageously quickly. I ask if it would finish because unless your compiler eliminates recursion really well, it would take ages to calculate step by step.
>>139251305
>You just need the derivative of f to be integrable
???
>>139231161
Underrated post.
no one cares nerds
>>139251087
That's wrong actually. It's n<6-m in the nested for loop, not n<=2-m.
>>139251315
It'd take forever.
>>139251184
Bite me, none of the terms we use translate to calculus in english. This guy doesn't know what an integral is, I'm not expecting him to know what integrable means.
Also what am I doing wrong senpai?
>Math stupid
I don't even understand this, and it makes me really sad.
>>139251980
Ignorance is bliss
>>139251964
That's not even the fundamental theorem of calculus
>>139251980
I'll post some of the more straightforwards problems from my folder for you.
>>139251964
Whoops that should read x in [-1,1]\{0}
>>139252098
Fucking kikes
>>139224212
I solve it by falsely confessing to taiga.
>>139251964
Try integrating the -2 -> 0 and the 0 -> 2 separately then sum them. Graph the function and think about integrating actually does to a function.
>>139252149Correct! Sadly, not the solution, though.
Posting some classics.
>>139250637
>Ackermann's function
I once implemented it in SQL. Fun times.
>>139252098
Split it into squares and it becomes ez.
>>139252227
Why are you integrating f instead of the derivative of f?
>>139252248
Ackermann's function is good fun.
>>139252273
>split it into squares
There are lots of ways of doing this wrong, and few of them make it easy.
Reminder that nobody has given a solution for >>139250637
Remember to show your work!
>>139252230
That's just 1:2 right?
>>139252385
Oh, so the pattern is that whole shape and not just the arrangement of triangles and hexagons. Fuck.
>>139252098
1/4, make rectangles consisting of 1 hexagon and four half red triangles to make it, given that 1 blue hexagon has the same area as 6 red triangles that means 6+2=8, so 2/8=1/4.
>>139251150
>that pic
Who the hell proves Jacobi's identity? That's a given on a Lie algebra.
>>139252443
The pattern is the arrangement, not the figure. The figure does not tesselate.
>>139252469Correct!
>>139252387Assuming you are referring to >>139252098, Incorrect.
>>139252210
What I'm trying to say is, I'm giving you f, which is integrable because 1/2<1 so it is falsely generalized in 0 and a singular point doesn't change the value of the integral.
f is prolonged by continuity in -1 & 1, it's not derivable but we're integrating it, who cares.
If >>139251041 is right, given that a primitive of f on [-3,-1.5] U [1.5,3] is x, then the integral gives me (2 - (-2))=4 , when it should give me 1 + 1 + whatever integral of the [-1,1] segment gives, which I'm pretty sure isn't 2.
>>139252302
Because it's shorter to write the function when I'm integrating it.
>>139252551
So the squares thing was right then!If you used rectangles.
>>139250637
I'd compute values that I'm able to and do a search in OEIS. If OEIS failed me (which is rare), well, I'll actually have to use my brain to find the pattern. At least that's what I'd do if I wasn't posting it from phone and didn't know what that function is.
>>139252553
>a singular point doesn't change the value of the integral.
This is only when the function has a type 1 discontinuity there. The function f is not uniformly bounded on its domain.
>Because it's shorter to write the function when I'm integrating it.
Then that's not the fundamental theorem of calculus
>>139252603
You could use squares of a half hexagon and two half triangles, but thats just the same as taking four half triangles and a whole hexagon.
>>139252603If you find squares/rectangles that tesselate to make that pattern, sure!
>>139252667
Sounds like an interesting idea, but remember that there are two inputs.
Also, it's a kind of sketchy idea whenA(0,2) through A(3,2) are less than 30, while A(4,2)has 19,729 digits.
>>139251087
I don't even know what I'm looking at.
Are we still playing twenty questions?
>>139253191
In steady state both the temperature and entropy will increase. The engine that cools the fridge will produce much more heat than it takes away from within the fridge. If I recall correctly most fridge efficiencies are like, what, 40%?
>>139253191
That's a basic thermo problem. Energy in = energy out, where the only energy in is power to the refridgerator, with no energy out.A
>>139253017
It's a C program that runs the function for any valid inputs.
If it makes you feel any better, I get lost at line 27 too.
>>139253191
Temperature increases, since the electricity going into the fridge results in heat in the room
Entropy increases because
>temperature of the air increases
>more micro states
>more entropy
>temperature of the fridge is constant
>equal micro states
>equal entropyI am bad at thermodynamics, had to think back to chem.
>>139253016
I like this solution a lot!
>>139252230
Let H be the "Heads" event
Let A and B be the two coins, with A being double headed one.
A & B are a complete system of events, and are distinct.
So P(H) = P(H|A)*P(A) + P(H|B)*P(B)
P(H) = 1*0.5 + 0.5*0.5 = 0.75
Which means that P(A & H) = P(H) P
So P(Heads, other is is heads) = P(A|H)
= P(A and H) / P(H)
= P(A) * P(H|A) / P(H)
= 0.5 * 1 / 0.75
=2/3
>>139253299
40% is already pretty good for a cooling machine afaik.
>>139253381
Line 27 is just allocating memory equal to the size of whatever cache is pointing at with malloc.
>>139253602
>Conditional probability
>Bayes law
hot
Good work!
>>139253814
It remains unchanged.
>>139253855
I see.
I really want to get into C programming.
>>139253814
Right side drops. This is because some of the ball's weight is being supported by the water.
That is, the bouyant forces on the steel ball are pushing it upwards and by extension pushing that beaker downwards.
The left side doesn't matter much because it is a closed system, and ping pong balls are pretty light, while the bouyant forces on a steel ball are comparatively high.
https://www.youtube.com/watch?v=b_8LFhakQAk
>>139224366
they do if you blow
Since we haven't gotten any solutions for >>139250637 yet, I'll post the solution now.
I was working on a more rigorous proof for solutions from m>=2 a while ago, but the project got pushed to the side.
>>139251087
What's the point of calling malloc when the array size is known at compile time?
>>139254122
You're correct but your reasoning is wrong. On the right side the steel ball literally imparts no force on the scale-beaker system while the ping-pond ball in the left side beaker does. The buoyant force counters the normal force of the beaker on the top of the scale, and as such the scale would tip to the right.
>>139254502
Then, is >>139254342 correct?
>>139254569
More correct.
>>139254502
>On the right side the steel ball literally imparts no force on the scale-beaker system while the ping-pond ball in the left side beaker does.
This is incorrect. As you can see in the video in >>139254122, the right side only drops after he holds the ball into the water. So, regardless of your reasoning, the ball has to be doing something.
>>139254605
Is this a correct diagram? It's what I was trying to explain.
>>139254940
That's because he's imparting force into the water when he puts the ball in.
>decide to read some /a/
>see some interesting
>read posts
>realize I'm trying to avoid uni cs by reading uni level math
Thanks /a/, never disappoint.
>>139255040
>he's imparting force
>the system scale tipped left when the ping pong ball went in because it didn't know it was supposed to go the other way
>it tipped left and held that equilibrium position because he momentarily applied a force
>when he took away the steel ball it tipped back left because it suddenly forgot that its equilibrium position was to the right
>lol
are you retarded?
Are you retarded?
>>139255174
You're going to avoid a lot of math anyway if you're just a CSfag, don't worry
>>139239147
you have insurance and a good salary i assume. you good my nigga.
>>139255174
>uni level math
>itt
Shit man I'm sorry.
>>139255205
Someone get the camera; it's trying to communicate.
>>139255211
Most CS students can't even do simple shit like fizzbuzz.
>>139247735
This thread was a mistake
>>139229445
I hate how we teach kids how to count instead of the formal axioms of math first. It's so backwards.
>>139255314
I have CS students ask me about the proof of Bezout's theorem and it turns out they don't even understand what Euclidean algorithm does. How the fuck do they even pass discrete maths without this cursory knowledge?
>>139255174
>>realize I'm trying to avoid uni cs by reading uni level math
I didn't believe the /sci/ memes until now, but really? The only "uni level" mathematics posted so far were pictures with no discussion like >>139226659.
>>139254371
Read up on stack/heap memory allocation.
>>139255405
Are you sure that's a good idea? Forget theory, remember classmates had trouble getting the hang of fractions in primary school.
I actually forgot everything I ever learned about math when I graduated.
>>139255405
Kids are fucking stupid. They can't think abstractly.
>>139255516
That's because they're not well defined. If you teach axioms then everything will make sense, it's literally the most logical way possible to understand math.
>>139255211
I'm a security fag, even worse. I don't need half of the theory and even less so math.
>>139255445
There was also some partial derivative stuff which was part of calc 3, and I thought I saw a double integral at some point.
Also, I dip in cryptography, and the mention of fermat's little theorem brings up RSA related math with number theory and all of that fun stuff.
>>139255445
>algebraic quantum field theory
>uni
That's grade 10 shit you brainlet. What kind of backwater third world country did you get your education?
>>139252514
Asociative algebra defines a Lie algebra by taking the commutator, that seems to be what's happening there.
You are in forest, looking for a female pf a rare frog.
You spot one such frog on a tree in front of you.
You hear a male croak behind you. Turning around you see two such frogs behind you.
You may only collect the one or the two frogs.
Which should you pick to maximize your odds of obtaining a female?
>>139255860
Jacobi's identity is built into the definition of a Lie bracket on an algebra though. Unless you're building a lie algebra out of a general algebra (such as the space of all trajectories in the algebra of forms on a manifold with the Poisson bracket) you won't need to prove Jacobi's identity.
The world won't be able to solve this.
>>139253857
>>139253602
>people who like probability are itt right now
Why would anyone like probablities in the history of forever
>>139256078
Probability is a combination of logic and math that is possibly one of the most valuable fields for the everyday person.
>>139256034
>non defined limits over no variable is equal to null set
0/10 apply yourself
>>139254371
>>139255514
Also, that's a pointer, not an array. Don't get the two confused.
>>139256034
>words written without \mathrm
Any self respecting person won't even consider thinking about your problem if you present it in such a disgusting way.
>>139255405
That reminds me of the book "mathematics made difficult" pretty funny stuff.
>>139256034
>a linear functional is mapped to the class of sets
That's fucking retarded.
>>139256172
"muslim" is a differential k-form, idiot. And the surface of integration is over the sandnigger territory
>>139256078
>people who dislike probability are itt right now
Why would anyone dislike probabilities in the history of forever?
This problem is technically a probability problem, even though none of the math involved directly uses probability beyond an understanding of markov chains.
>>139256167
0%, you are in first class and the stewardesses all carry clipboards with the seating on them. You are escorted to your correct seat quickly.
>>139232078
Are you allowed to unplug the lamps and change their order?
>>139256308
Badly defined problem
If shitposters become indifferent eventually nobody will post it anymore.
>>139224212
Ah vadius? I only know radius
Volume? What the fuck is that supposed to mean in size. How big it is overall?
Wouldn't it be 7cm then? Since 3cm up and 1cm in each direction, there being four.>Implying I went to highschool
If I did I wouldn't be heretimes like these I'm glad I'm stupid <3
>>139256167
>>139256308
>they think combinatorics and Laplacian probability is "probability theory"
>>139256385
what symbol is in front of the 3, assuming it is inconsequential,
3+(12*19) =
3 + (228) = 231
9 - (6 / 3) =
9 - (2) = 7
>>139256385
>>139256598 here
You lost me at 19
You lost me at that division sign
>>139256385
285 and 1, easy
>>139256385
285
1
>>139256668
disregard that, I suck cocks
>>139256034
You are bad at math.
lets assume you mean $\int muslims dt=0$
The integral of a function is the area under its graph, meaning that this function only makes sense if muslims refers to the rate of change of muslims.
Even then, doing an indefinite integral is pretty stupid.
Lets therefore assume you mean
$\int_{0}^{T} mps(t) dt=0$ where T is the present time and mps(t) is muslims per second.
>>139256738
>what are differential forms
Stop commenting.
>>139256668
>>139256698
Everytime.
I don't even know if you guys are trolling anymore.
>>139256598
This is depressing
>American mathematics
I now understand why America scores below average in Maths.
>>139256813
>old way
That's the stuff
Bring back postfix notation
>>139256813
Common core is bad, it's holding intelligent students back. I could rant about it for the next 6 hours, but it would just end up with me crying about the future of american students.
All it does it make them less intelligent and more likely that students who come from overseas that enter in highschool or uni will take our jobs.
>>139256618
isn't | absolute value
>>139256167
50%. It's easy to see if you go through the problem but with only three seats.
>>139250114
My big brother is doing Chem Engineering (I'm from hueland) and he took it at his first semester.
We're not that shit at theoretical education.
>>139256973
If you read them as |s and not 1s, sure, the expression becomes 3+18|x|
>>139256813
That's shopped though kek
>>139256967
Another retard fell for the "common core is bad" meme. It's literally preparing kids for more abstract algebraic thinking. It's a sad state of affairs when /fit/ is more knowledgeable about this than /a/.
>>139256973
I took the | symbols as 1s, as otherwise there would be no solution to the problem presented.
The question I have is about the " '3 ". I don't think that the symbol ' has any meaning when in front of a number, but I'm just asking to be sure.
>>139256813
Isn't this shopped?
>>139257101
>abstract thinking
Oh, I agree it's abstract.
>2nd grade math homework.
>>139257101
Well, if you actually checked how they changed the curriculum, you would see that in california, they would be removing the ability to learn geometry by 8th grade, thus restricting geometry to 9th grade, algebra II to 10th, precalc/trig to 11th, and calc I to 11th.
>>139256960
What is she even doing
>>139256385
the guy can't even write equations properly and hopes his students get it
>>139257222
what the fuck is this
what are the lines? is this just for teaching multiplication?
>>139257222
>What is missing?
The question
>>139257250
>removing the ability to learn geometry
Didn't know they were lobotomizing the kids.
>>139257266
>>139257222
It's not that hard.
03 = 13, and 05 = 16.
Consequently, 02 * 3 = 13 * 3 = 39.
>>139257101
>>139257222
guys, what the hell is common core?
>>139257288
By impeding growth at a natural pace for the higher and lower ends of the intelligence spectrum, in effect they are lobotomizing their education.
>>139257336
What
>>139257222
What the fuck is that
>>139256960
>wanting to teach kida postfix notation
What fuck is is wrong with you
>>139257254
Bonus: look at the ranks, and look where her rifle is.
>>139256308
By the end of the third day, everyone will hate it.
>>139257336
>03 = 13, and 05 = 16
dude what
>>139257222
>spiral math = common core
Largest strawman I've ever seen
>>139257428
American education.
>>139257428
Something that has convinced me that if I have kids while in the US, they will be taught math by me until highschool, and not by shit teachers.
>>139257462
>>139257436
Common core uses numbers for variables instead of letters, because letters confuse students.
So, 03 = x, and 04 = y.
04 = 2 03 + 5
>>139257435
You're hilarious. Pre-common core mathematics education already removed Euler's Elements as a standard high school text, thereby delaying the students' exposure to proofs. Common core is fixing exactly this problem.
>>139224952
When was the last time you worked with some hood kid who doesn't want to be there? Shits difficult enough trying to teach them anything more complex than graphing calc ain't worth the heart ache.
>>139257547
Jesus fucking christ.
>>139257547
How is 03 13? Wouldn't it be 14 if you're just filling in the gaps on that image? And what are the arrows for?
>>139257547
>Common core uses numbers for variables instead of letters, because letters confuse students.
That is the single dumbest bandaid fix I have ever heard of.
>guys, solving for x is too hard
>solve of 06 instead
>>139257551
>Euler's elements as a standard high school text
All that textbook makers care about is that the text books change every couple of years minimum, ensuring maximum profit.
>>139257547
Yep. That's unfortunate but it instills into kids the concept that the numerals are literally just symbols we assign values to them, that they're completely separate, just like how higher mathematics is done.
>>139257637
>>139257593
They're trying to teach the numbers are flexible things.
So 04 = 10 for large values of 04, if that makes sense.
>>139257547
why does this exist
>>139257688
No, you're making that up. I refuse to believe this is true.
>>139257448
I can't see her ranks through the hot mess, but I believe that's her rifle shoved firmly in her belly button.
>>139257645
Nope. Elements had been standard for at least a century, all the way from late 1700's with people like Lagrange, Legendre and Fourier to the early 1900's with the likes of Poincare and Hilbert.
>>139257547
>Common core uses numbers for variables instead of letters, because letters confuse students.
Wait, is that for real? holy shit.
>>139257688
>>139257684
I'm not a teacher but I feel like there are easier ways to teach kids that..?
>>139257688
>>139257684
>>139257547
How is this legal
You're not seriously saying that's a good idea, right?
Guys, common core math isn't that fucking hard.
For example, solve 427 - 316.
On common core, this means:
>316 + 4 = 320
>320 + 30 = 350
>350 + 50 = 400
>400 + 27 = 427
So, 4 + 30 + 50 + 27 = 427 - 316 = 111
>>139257741
I know the right side guy is a general.
And yes, she propped her rifle against her crotch.
>>139257812
I personally think it's cancer.
>>139257743
I wouldn't have known. I never cared for the textbook anyways, and mostly learned the material on my own away from class. I always didn't like the way the teachers explained things.
>>139257809
I am a tutor, and let me tell you for the kids that had no exposure to abstract thinking if you suddenly introduce symbols and letters to represent an arbitrary number they'd immediately stop following you and just blank stare. It's fucking frustrating and makes you want to choke the kids out but what can you do.
It's similar to freshmen who were introduced to proofs by element chasing. If I pick an arbitrary element in some set and prove that a statement is true for that element, it's automatic that the statement holds for all elements of that set, yet the are still students that don't understand this and has to ask "but what about the other elements of the set"?
>>139256308
Sorry for bad LaTeX, I don't know all the commands for fancy math symbols.
>>139257868
I don't understand what you're trying to demonstrate here.
What's wrong with normal subtraction?
>>139257869
Yeah, that's a general, some variety of upper sergeant, and a captain.
>>139258019
Normal subtraction doesn't really show students what they're doing.
The common core method shows that you're finding the distance between two numbers, whereas the old method is sort of a "black box" algorithm.
>>139257930
>I wouldn't have known
That much is obvious. They removed Euler's Elements from standard curricula because "students don't need it" and "it's difficult", and now they're seeing the effects, i.e. high drop out rate, low quantitative and reasoning skills in students, etc.
The point is that any educational reforms would be met with resistance at first. This isn't unique to common core.
>>139257985
Fixed a mistake in (1).
>>139257868
Or you can be civilised
427
-316
7-1=1
2-1=1
4-3=1
427-316=111
How old are they when they're taught that? Because mental addition like that are easy for non retarded 10 yo here, 10 yo being generous.
>>139225206
you use differential equations, right?
>>139257985
>literally using a hammer to kill a fly
Hey guys did you know that Fermat's last theorem implies sqrt(2) is irrational?
>>139258058
>Normal subtraction doesn't really show students what they're doing.
This can't be real.
>>139258103
Common core prefers mental math.
For example, the algorithm to find 11 x 15 isn't something like
>_11
>x15
>165
On common core it's
>11 x 15
>1___5
>1____(5+1)____5
>165
This always works for 11. There's rules for 12, 13, and so on.
>>139257688
YOU SHOULDN'T TEACH THEM NUMBERS ARE FLEXIBLE BEFORE TEACHING THEM TO USE THE THINGS
ARE THEY GOING TO USE HEXADECIMAL TO SHOW HOW SIMPLE THESE THINGS ARE AND EXPLAIN MULTIPLICATION NEXT?
HOW ARE THEY SO RETARDED
>>139256813
What? Did they change operation precedence?
>>139257868
>>139258058
This man is correct. We're moving kids away from "symbolic manipulation of numbers" towards the actual "concepts" behind the manipulations. This will greatly segue the students into proofs regarding metrics spaces.
>>139258058
I guess I can kind of see the idea behind that then. That's not really a different kind of math so much as mental tricks for figuring stuff out.
The problem is no one actually knows what "Common Core math" consists of because their only exposure to it is random stuff people post.
>>139258058
The old method makes sense if you taught them how the decimal system works. What's the point of inventing a new grouping system for operation when you are using a notation that does that implicitly?
>>139258320
>The problem is no one actually knows what "Common Core math" consists of because their only exposure to it is random stuff people post.
Or the reactionary parents that think common core is bad just because it's different.
>>139257953
Does it just feel weird about it because we take it for granted, then?
I don't remember finding it difficult (and I was always really shit at math)
>>139258145
The fix-point theorem is one of the few theorems I learned that I can remember the name of, so I feel compelled to namedrop it whenever possible.
Also, doesn't Fermat's last theorem only apply to cube roots and higher?
>>139258423
Because you might not always be using that notation.
>>139258212
>guys, multiplication and substraction is obscure
>instead, we'll teach them individual methods for each integer
What the fuck
They can't possibly not realize students who can't understand multiplication won't even remember those, let alone understand them
>>139258320
There is actually a significant weakness to the common core method, however.
Suppose I asked you to add the following functions
>f(x) = ax + b
>g(x) = -ax + c
>f(x) + g(x) = ?
The common core method doesn't work if there are no numbers or number line.
>>139224212
The Sum of a Square Root of any two sides of an Isosceles Triangle is equal to the square root of another side!
>>139258480
As a kid we were raised to understand the Arabic numerals as numbers themselves. Common core is trying to drive home the point that that's not the case.
It definitely feels weird when you were a kid trying to understand more abstract concepts that takes the "actual value" out of the "symbols" that we're manipulating.
>>139258212
doesn't it just makes it more about memorizing the rules than actually doing it?
>>139258521
>considering the impact on non decimal notations before explaining addition and multiplication
Fuck this, I'm out.
>>139258665
Better than memorizing what number subtracts what number equals what number, like the times table.
There are axioms in math, and the axioms of arithmetic are encoded in the definition of a ring. If you can't memorize those definitions you might as well just not do any math.
>>139238557
I don't understand where "t^3 - 3 t^2 + 3 t - 1" comes from.
>>139258561
What? Lmao functions of one real variable are literally just deformations of the number line. If anything the kids that has gone through common core would grasp this easier than others.
Also it'd be much easier to drive home the point that f(x) is a number while f itself is the function, and that addition of functions is defined as pointwise addition. Common core kids would have no trouble handling that.
>>139258521
Then explain the meaning behind the numbers.
It's like they found what parts kids didn't understand and tried to make them "easier" without looking for the root of the problem. Common core looks down on kids too much.
>>139258760
>like the times table
Nobody memorized times tables. At least, if they did, I feel bad for their higher math performance.
Instead they memorize FUN RULES FOR EVERY INTEGER
>>139258814
It's bullshit. There's no other way of proving uniqueness of the solutions without using techniques in algebraic geometry.
>>139258814
>>139238557
Doesn't matter, I understand now.
>>139258960
>Nobody memorized times tables
>tfw I'm a nobody
>I feel bad for their higher math performance.
>tfw my higher math performance got me into grad program for mathematical physics and someone on /a/ feels bad for me
It's fun to talk out of your ass isn't it? There are 4 lines to the definition of a ring and you're saying that that's more difficult to grasp than the times table?
>>139258882
I feel it's the other way around. The math is traditionally learned it's just assumed that children won't be able to understand things like abstract representation and what arithmetic functions actually mean so they just teach a shitload of shortcuts that give you the correct answer but don't tell you how you got those answers. This is the precise opposite.
>>139259031
>he memorized times tables instead of grasping the underlying principles
At least you caught up in the end eh champ
>>139225212
I was taught integrals in my senior year of high school, along with other fundamentals of calculus.
>>139258814
He's applying a plug and chug method for a 3rd degree system with three equations
He put the 3 and 1 he found earlier in the development
(t-x)(t-y)(t-z)=
t^3 - (x+y+z =3)t^2 +(xy+xz+yz=3)t - (xyz=1)
= (t-1)^3
>>139258960
Honestly no one SHOULD memorize times tables, but a lot of kids will end up doing so anyway because you don't have time to sit around and try to grasp how the whole thing works intuitively enough to be able to reproduce it on command. Ideally you'll be weaned off of them later.
>>139259166
>he didn't do both
>>139259166
That's what the common core tries to do though. to teach kids the concepts underlying the arithmetic operations. Also times table do give you an edge in lower division math courses and memorizing them in grade school had no impact on how fast I learned much of topology/differential geometry.
>>139259240
>doing both
Why, twice the work for no gain.
>>139258601
That's a RIGHT triangle you idiot!
>>139259353
>no gain
That's what your mum said when she didn't swallow.
>>139258960
>learning the times tables of 2 through 10 is difficult
What
2 through 5 are joke tier
10 doesn't count
Even as a kid I noticed 9 times something is 10 minus one times it
Learning the rest is piss easy
Shit I remember we had pissing contests about mental multiplication in both breaks and class, the teacher would ask a multiplication and we'd answer as fast as possible using a small white board, it was fun for everyone.
Everything is easier when your school doesn't have dead weight bad apples, just fucking gas them or somethingoh god, I've become a /pol/lack what is wrong with meeee
>>139259470
The irony is that you'd probably gas the majority of /pol/lacks
>>139259456
>your mom jokes
>imgur link of a 4chan cap which means you got it from /r/4chan
Lurk for 2 years before posting.
>>139258962
Why do you say that? It sounded solid to me.