Differential Equations Application (Futurama)

[concealedknight]

couldn't he just integrate the function normally. It didn't look like a hard function to integrate.

[Starbuckskat]

These guys came to my school today.

[libalchris]

There's no differential equation here...

[cactusmolestor]

I thought the finglonger was only a result of the what if machine...

[rtmcgaha]

So simple he did it in his head.

[Santana2163]

I'm pissed that I took Differential Equations last semester and I'm still lost on this.

Sweet Clyde did this problem with skipping like 10 steps, he didn't even have to draw the wronskian determinate for these functions smh ugh these globetrotters are amazing

[MrPentatonicScale]

i was watching educational videos for my diff eq test tomorrow before i stumbled upon this classic

[divinesleeper]

Sorry, but...isn't that just nonsense?

[deeppurple28]

Hey, I'm still trying to figure out what the Greenwaldian Theorem means!

[NganaJHone]

I am very happy to see the vidoe Use variation of parameters and expand the Wronskian! from you, hopefully the others also are happy for You

[Ondelendo]

Steady I Really Like This Video Use variation of parameters and expand the Wronskian!

[bebeheuy]

Good, I like that you share this video, I wish success always Differential Equations Application (Futurama)

[Crucifier61]

For the curious....

google>9.87 sin(2b)>yahoo answers

E/cos(B) = 19.74 sin(B) - 9.03

(assuming B /=pi/2 /= 3pi/2)

[wow1022]

a^2 +b^2 > c^2?

what is this madness? :o

[megarockman]

@wow1022 Hyperbolic coordinates?

[BYMYSYD]

@wow1022

That is only valid for all points on a surface of positive curvature.

[mysterykcad]

I think I need to take Calculus again...

[silencieuxxx]

Simply put cos(b)=x, sin(b)=y, add the equation x^2+y^2=1 and expand sin(2b)=2sin(b)cos(b)=2xy

Then find the way to express the right hand side P(x-r)(y-s)-Prs

[silencieuxxx]

That equation is simply the intersection in the plane between a circle centered in the origin of radius 1 and an equilateral hyperbola, not centered in the origin, with asymptotes parallel to the x and y axis respectively. This is a high school problem. Can't see what are they referring to when speaking about differential equations

[AntefixA]

I just had a 30-minute long discussion about the validity of this scene with a few of my professors/classmates.

I REGRET NOTHING.

[H1TMANactual]

@AntefixA Really? An 18 year old can do differential equations?

[MacacoPulando]

@H1TMANactual Why not? If you have been actively studying maths who's to say that you couldn't be at that level of understanding by 18? Math is hard, but like anything else, with practice you get better at it.

[H1TMANactual]

@MacacoPulando It's pretty obvious from his answer that he is bluffing. Sure there are exceptions, but it's very unlikely an 18 year old can do Differential equations. Cal 2 is a pre-req just to get into DE.

[OCNmeticadpa]

@H1TMANactual Eh, I've just turned 17 and I have a bit of knowledge in differential equations. I've covered calc I and calc II and am starting on calc III (admittedly this has all been self-studied). It's not outlandish to imagine that someone could have some knowledge in differential equations at age 18 at all, especially if they're interested in maths and have actively pursued their interest like I have. None of the maths is beyond the intellectual capabilities of someone less than eighteen.

[guerillachan20]

@H1TMANactual I did it

[aljon299792458]

@H1TMANactual it's easy esp. when ur in engineering 

[movcrit]

@AntefixA What did they say?

[Trund27]

@AntefixA I for one salute you. HUZZAH!

[mphello]

I committed an act of forbidden love once: I DATED A ROBOT!

I got a virus from it, too. The software kind, not the biological kind.

Now, when I reboot in the morning, a flood of spam gets beamed straight into my brain.

And not the software kind, but the Hormel kind.

What a sad world we live in, 3000 years from now, where a ghost and a horse can have sex, but not human and robot.

[ryomali]

I have no idea why time appears to be some general wave. Even if it was, I still have no idea how I ended up on this video

[93cian]

That equation isn't at all complicated. I'm surprised Prof. Farnsworth couldn't figure it out. Furthermore, Sweet Clyde didn't use any calculus (as was suggested) and the answer appears far more complex than necessary, not to mention irrelevant. That said, I only noticed because I can pause Youtube, nobody would have seen that on TV.

[animeasianman]

you know shit just got real when you see a harlem globetrotter dribbling a piece of chalk on the floor and use variation of parameters to prove time travel can be done

[gredangeo]

I wanna finglonger. (it makes you smarter)

[SpitShineT0mmy]

@gredangeo Trying to compensate for something?

[gredangeo]

@SpitShineT0mmy Yeah, for the idiots around me. I could beat them with it.

[mphello]

The Globetrotters neither do math nor play basketball.

They play mathketball!

[mphello]

The Futurama writers know they can get away with writing an equation with only half an equals sign (because they're doing comedy, not math) Which would be a minus sign.

[pastcineo]

I love how everyone is discussing the equation LOL

[mphello]

@pastcineo Hey - why not? :) It's fun!

[pastcineo]

@mphello It seems like fun! I just wish I could take a part on it, but I don't remember most of my high school maths D:

[mphello]

@pastcineo Just jump in with some math mumbo-jumbo! It's Futurama!

The Professy will be proud of you.

[TopGunOriginal]

........that's not even a differential equation

[juanpedro19840914]

He should have just expanded the sin(2B) and expressed sin in terms of cos (or viceversa).. LOL

[R4Y4NO]

a^2 + b^2 > c^2 ???

My god, I've been learning the wrong thing this whole time.

[Toadfish91]

@R4Y4NO i think it's non-Euclidean geometry. with non-Euclidean geometry, in short, things are wonky.

[juanpedro19840914]

@R4Y4NO Refer to the "atached" figure.. the triangle is on a sphere. Ergo, that inecuation is true.. =P

[SyncopatedNightmares]

@juanpedro19840914 Apparently after looking up "Greenwald Theorem," I found out that she herself helped with the skit. Just another reason why Futurama is better than all those other shows on television that pretend to sound clever or intelligent. 

[TheNamelessCharacter]

Futurama:

The result of the writers having mathematics degrees. Isn't it fucking awesome?

[HLSDK]

Forget the wronskian, calculate the Jakobian!

[DrunkenGamingMaster]

That doesn't look like a differential equation to me.

[swunt10]

@DrunkenGamingMaster try to solve it then...

[fafanull]

They'll need differential equation if the sphere/circle-shaped related to the equation..

­

ah. i'm taking cartoon too seriously!!

[031000ron1]

@fafanull THE UNIVERSE IS ROUND!

[MrBigEnchilada]

lol this isnt a differential equation, so i was like lmao variation of parameters or wronskian and how did he get that lol

[Ichiboy900]

This doesn't look like a differential equation to me, he didn't take the derivative of "9.87sin(2B)" or anything. Still funny though.

[s900203]

Well, given the Greenwaldian Theorem...

[halafradrimx]

That is the only way something impossible would be possible : impossible people.

[ImperialEarthEmpire]

what?

[KanyeTroll]

DO NOT TRUST ANYONE THAT USES MATHEMATICS IN THIS WAY. THEY ARE LIBERAL SATANISTS WHO ARE TRYING TO TRICK YOU INTO BELIEVING THEIR ANTI-CHRISTIAN MAGIC. DO NOT LET THEM BLIND YOU WITH SCIENCE. WORSHIP JESUS CHRIST

[jgpingpong]

@KanyeTroll Hmmm, or maybe math is math. If you actually had a real education, and understand higher math, or education in general, then you can talk.

[mphello]

@KanyeTroll Nobody who uploads a South Park "Kanye West Gay Fish" clip to their website would be saying that with a straight face. I'm pretty sure you're being sarcastic.

OTOH: I also believe Kanye West to be the new William Shakespeare of Western civilization for the next millenium, so I might not really get sarcasm.

[DammitSpah]

@KanyeTroll *facepalm*

[fingerboy18]

Haha VOP sucks! I'm glad I'm done with that class.

[Galidorquest]

This made my day :D

[Eggzore]

We've got dem numbers o_O?

[kirant]

All that is junk. You all know the Globetrotters same the real calculus for the end of the game.

[yaosio]

I knew I should have checked your show-boating Globetrotter algebra!

[rich763690]

a smart comedy! doesn't happen too often

[Metalguden]

Lol, this is an empirical formula used to determine the "solar time" in minutes or something of the like, was quite a while i used the eq. of time! :D

[jamo0007]

The Finglonger!!!

[ShadowGricken]

I love the globe trotters in futurama

[FundamentalPhysicist]

N is commonly used for limits, series or product series and c might have a known relation to E. In fact all non-algebraic numbers have to be expressed in infinite converging series, take a look at pi or exp.

[mphello]

Note how Sweet Clyde neither uses variation of parameters nor expands a Wronskian, as Bubblegum ordered him to, neither of which has anything to do with solving a transcendental equation of this time! Further notice that Clyde's "solution" has an N and a C and a small delta in it, but no E.

But that's just my razzle dazzle.

[MrLindenson]

@mphello lmao epic comment

[031000ron1]

@mphello Wnt to oxford did you?

[mphello]

@031000ron1 Nope. Never got into Oxford. I attended the Harlem Globetrotters' Institute of Fly Math and Righteous Reasoning. My doctoral advisor was Bubblegum himself.

[031000ron1]

@mphello You. ARE. AWESOME!

[mphello]

@031000ron1

Thanks! :)

[031000ron1]

@mphello Your razzle dazzle welcome.

[Trund27]

@mphello Woah....

[MuNkYhEaD15]

@mphello

woahman u are sooooooo smart for correcting a cartoon. good job bro

[mphello]

@MuNkYhEaD15

But that's what adds to the humor: taking the so-called "math" in a funny cartoon like Futurama

seriously, to see how far it will go! :)

[MuNkYhEaD15]

@mphello

Very true, I now see the value. I apologize :)

[Wicked33]

@mphello

Now,im not taking this math seriously,but lets say for a second futurama made sense.I imagine E would be an energy of some sort(its an equation of time,but energy makes the most sense),making C probably the speed of light?And if we have a linear comb. of sin and cos I guess N would come from a sum over N(maybe fourier series).I've no idea what delta would be...

This is exactly what the writers were hoping for wasnt it? A deep discussion about something that makes absolutely no sense:P

[EXRazeBurn]

@mphello Golly! If I didn't know better, I'd say this whole thing was nothing more than a work of fiction done for the sake of comedic farce yet designed to give nods to legitimate scientific principles in the process!

...NAH...

=3

[Ayplus]

@mphello Lol. That wasnt even a Differential Equation

[BaxterXenon]

Tall african alien basketball playing scientists?? I'm in.

[ThePat0307]

the fing-longer :D

[cosmicmelon]

Forget the math, how the hell were they bouncing chalk?!

[troggdorthesecond]

Love how in this Future the Globetrotters are esencially the highest form of human being in the universe. XD

[mphello]

Transcendental equations like that ARE solvable. It's called the Lagrange Inversion Formula (LIF). For E = sum of sines and cosines of rational functions of B such that we know B=0 implies E=0 and assuming we're not at a critical point, the LIF will give you a Maclaurin series expansion for B in terms of E.

Or did I just spoil the professy's fun?

[WSWarthog]

@mphello

Show-off :p

[billythepancake]

@mphello How about you explain that in terms we can understand?

[sbunkboy3]

@mphello I'm taking a differential equations class, and what is this? :)

[mphello]

@sbunkboy3 Not sure. Looks made up. You mean the E = sin(2B) + c*cos(B) etc equation, right?

Well, it's not a differential equation, first of all, in case you were thinking that.

[sbunkboy3]

@mphello Haha, no, when I said "what is this?" I meant the Lagrange Inversion Formula. I don't recall going over that stuff when we covered Taylor and Maclaurin series in calc III.

I'm *fairly* certain I know enough to *maybe* be able to tell that the "E=sin(2B)" etc isn't a differential equation. (emphasis on "fairly", haha).

[mphello]

@sbunkboy3 You wouldn't get the LIF in any college course. It's a fairly messy formula, at least when done for several functions and several dependent and independent variables.

E=sin(3B) + cos(B) whatever -- do you see any derivatives of E with respect to B, or vice versa, appearing in this equation? Nope! That's how you know it's not a differential equation! (Or, you CAN think of it as a 0-th order differential equation.)

[sbunkboy3]

@mphello Ah, ok. Thanks for clearing that up for me. I was kinda afraid I might have missed something important in my earlier calc classes, haha. And yeah, I remember learning that stuff about identifying a differential equation from earlier in the course.

I should probably get back to studying though...we have a test over annihilator method, undetermined coefficients method, variation of parameters, etc tomorrow.

[mphello]

@sbunkboy3 Good luck with your exam! I'm sure you'll do well!

In college, I got only two C's. One was in differential equations. Ironically, I went on to higher math in grad school and now that's what I specialize in! ;)

[MegaAstrodude]

@mphello,

One of the great things about math and research science is that a lot of people who get mediocre grades at first end up excelling in the fields.

[superfanboy555]

black pepole knows everything

[Baryon321]

I wonder as to their opinion on Novakov's self-consistency principle?

[mi9worm]

lol *2* press '2' after clicking video

[PlankofWood1]

But those equations are all razzmatazz anyway!

[tomryan2580]

Q to the E to the D

[Mattoxz]

And they say math has no real world uses!

[FrostdPoptart]

Looks like the Professor ended up intending the Fing-Longer after all. I guess he was happy with what the What If Machine showed him

[Dxthegod]

I believe this paradoxicality equation to be unso---ALL GLORY TO THE HYPNOTOAD

[killingdj0]

devide futurama with zero and we lost teh world

[h0wud0in2]

this is not a DE... snif

[aj19bcx]

that's not a differential equation, if it were it would have a dE/dt or dE/dB in it.

[GreyMatter00Duh]

holy crap. They dribble chalk!!!!! .o.

[heronoki]

That 1 dislike is from the person who still thinks the equation is unsolvable :/

[mma4ever100]

WOW black people are smart and awesome

i miss the 70

[Varoonmg]

@mma4ever100 Was that sarcasm?

[mma4ever100]

@Varoonmg no

[Varoonmg]

@mma4ever100 Great Then

Well Black People , like any other People, are smart I guess....

It's just that they are usually best known for their proficiency in Sports including Basketball than in Maths...

I even wonder why Futurama put that up, because even for many non-racists, Black Basketball players excelling in Maths might have seen weird...

[tH3sUbL1m1nALn33d]

Basketball ain't what it used to be anymore :P

[marciuzzzxxx]

a square + b square > c square :DDD

[clapton1958]

"Right on."

Good lord Futurama has some of the funniest things ever.

[kgkingchong]

Every first letter in your title spell deaf

LOL

[chocofrisbees]

The finglonger!

[freakyanimegal8]

Makes about as much sense as anything else I heard in calculus

[valewiki]

What's the jingle they're whistling?

[ThatBookWorm]

@valewiki "Sweet Georgia Brown" which is also the Harlem Globe Trotter theme song.

[valewiki]

@ThatBookWorm Thanks!

[viridismonasteriense]

what's wrong with the professor's finger?

[valewiki]

@viridismonasteriense It's the "Fing-longer", but I think it's better in italian, "il lungo arnese", literally "the thing along" XD

[thevashfan12392]

*tries to solve problem* FUCK IT LETS BLOW SHIT UP OKAY???

[Exzodist]

Looks pretty damn solveable to me

[MisterJonesification]

I always laugh at this episode because you don't expect basketball players to be super geniuses lol.

[MyChemicalBromance]

@MisterJonesification Yeah, I didn't expect it because they were "basketball players" either, yeah that's my reason...

[Varoonmg]

@MyChemicalBromance Because "that" didn't surprise you too?....

I mean that's not where they usually excel, so I think anyone can legitimately be surprised...without being termed a "racist"....

Had they been East Asians, it would have been different

[freakyanimegal8]

SUCK IT PHYSICS! :D

[thePURPLEdinosaur00]

trolololol

[concealedknight]

basketball players, i salute you. Maybe Kobe could do my math homework.

[lazylank]

HAHA! A^2 + B^2 > C^2

that made my day!

[mithrandir1988]

@lazylank it is possible on a non-euclidian plane like a sphere, like the one drawn right next to your formula.

[OniLinkPlus]

@lazylank That's an actual equation. It applies on certain objects, like spheres.

[lazylank]

@OniLinkPlus You know what, it was funnier when I thought it was a joke...

[lulle103]

Futurama divided by zero equals 42!!

[CPTHAP]

Thanks to a group of basketball playing African Americans, we can time travel?

THATS FUCKING AWESOME.

[superfreegoat]

@CPTHAP Actually they are from a different planet. Therefore, they arent africans or americans.

[xScuzzleButtx]

hah, Greenwaldian Theorem

[oisinallen]

Futurama = Classic Simpsons = King of the Hill > South Park > Family Guy > shitty new Simpsons > American Dad > the Cleveland Show

[xScuzzleButtx]

@oisinallen Finally someone not completely obscessed with family guy, altough i dont care much for King of the Hill

[xScuzzleButtx]

@oisinallen Actually take that back, i agree with chaoswarlord565

[oisinallen]

@xScuzzleButtx Personally I really like KotH, but I can see why people don't, since it's a different kind of comedy to the other shows.

But even if you don't like King of the Hill; I really don't think it's fair to say it's worse than American Dad or Family Guy.

[kakashi1578]

OMG, its the finglonger!

[chaoswarlord565]

South Park = Futuraama = Simpsons > Family guy >> American Dad > King of the hill.

[xScuzzleButtx]

@chaoswarlord565 I agree with you

[4at4ish]

he invented the fing-longer!!!!

[Breaker595]

haha that's not even a differential equation

[Scathe8000]

was he dribbling with the chalk?

[Nikifuj908]

Sheas, baby!

[SkaterK3]

Awesome. This is a huge joke in my differential equations class :)

[Laprocasi]

And that's also how we solved the who came first the chicken or the egg

[whynotanyting]

I just noticed (after watching this video twice) that the pointer is actually his finger

[Zee96969696]

so paradox free time travel is posible after all!!!

[Rastaman12122020]

i have a test on variation of parameters tomorrow and this didnt really help me

[TheDireAvenger]

Hey, wait a sec... if it's a differential equation, where's the derivatives? xD

[allanduh]

@TheDireAvenger

let y=-sin(B)

y'=-cos(B)

y''=sin(B)

which would to

E=9.87y''+7.53y'+1.5y

But it doesn't because of the 2B in the first term.

The 2B in the first term is what makes it kinda weird for me, and i bet that's why farnsworth thought it was unsolvable.

[RPBiohazard]

@allanduh you just have to apply a double-angle identity to sin(2B) to get 2sinBcosB

[jupigare]

@RPBiohazard But that doesn't make it any easier to solve because then it becomes

E=19.74y"y'+7.53y'+1.5y

How would you solve that?

Hm, does this even need to be treated as a DiffEq?