The Odd Number Rule

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follow me:
/ tweetsauce
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Buddy the dog: en.wikipedia.org/wiki/Air_Bud...)
Franz Ferdinand's car:
news.sky.com/story/a-ii-ii-18...
• Franz Ferdinand's Car
The beginnings of World War One: www.khanacademy.org/humanitie...
Galileo and the odd number rule: www.mcm.edu/academic/galileo/a...
A GREAT book about the history of our understanding of how things move -- including some great sections about Galileo: www.amazon.com/Discovery-Dyna...
Parity: en.wikipedia.org/wiki/Parity_...)
centipedes:
en.wikipedia.org/wiki/Centipede
www.nature.com/articles/6800139
Colorado and its 697 sides: bigthink.com/strange-maps/col...
Washington State '96-'97 handbook: web.archive.org/web/199702220...
Washington state rules for allowed exceptions to the half-time or more enrollment requirement: apps.leg.wa.gov/rcw/default.a...

[@TTVShm0l]

The odd number rule: you're only allowed to use every other urinal

[@TheKevKev12321]

Investing in this comment at 29 likes.

[@thebowdestroyer]

@@TheKevKev12321 200 more in 4 minutes

[@slappymcface5681]

Preach

[@andremcnealy8954]

@@thebowdestroyer 100 more in 1 minute

[@Drakid13Re3kt]

invest a like early gentlemen this has a dramatic up trend

[@girlnado]

Michael: experiences life-changing hug, proceeds to invent calculus

[@cat-xb8hm]

@@nguyenhoanglong420 what?

[@ivanliaaam3229]

Passport Control lmao

[@nguyenhoanglong420]

@@cat-xb8hm IT'S MEAN that you lost your own Brain Cells

[@jamesalewis]

Sounds about right. More or less the plot of each video.

[@ghostexterminatorjr2069]

Or did he?

[@sarahberkner]

There is a guy named Odd who was teased about his name his whole life, and when he died he asked for them to not put his name on the tombstone, just the year you was born in the year he died. And when people passed by the tombstone they would say, "Isn't that odd?"

[@NoahOBanion-bg3bb]

It didn't work lol

[@craignewman6709]

The word EVEN is made up of thirteen lines The word ODD is made up of two full circles.

[@wjgthatsit2357]

or is it??

[@Leltendo]

*of two full circles and two lines

[@tesseract7586]

you have ruined my sense of reality

[@robokaos69]

Hemicircular Ds would look so awful in a font context

[@vicrattlehead8665]

*wolves by [REDACTED] plays*

[@sovietcat919]

"there is no rule that dogs cant play basketball" "anyway let's talk about how ww1 started"

[@PebsBeans]

This entire video is just vsauce without context

[@xivion9482]

Haha

[@technicallyshyworld2663]

I didn't think he would actually say that but alas he did

[@intermission1710]

135-7,911-1,315

[@yuuri_]

ok Sovietcat

[@ourtube1128]

'The universe also contains Colorado' It's hard to argue with his assessment.

[@blake60ah41]

Because he’s not wrong...

[@user-wt6cw7lu9g]

@@blake60ah41 Because it's sarcasm, Balakay.

[@adamlinden5940]

@@user-wt6cw7lu9g wdym, sarcasm? It's just an overused reaction meme

[@BarackOBusiness]

If he had said the universe contains Wyoming he would be wrong however

[@blake60ah41]

ᴄʀʏᴘᴛɪᴄsʟᴀᴅᴇ sarcasm? Do you use a different meaning of the word than the rest of us? Unless you’re inferring that Colorado is outside the space/time dimensions of this universe

[@loghanditheimperialdiehard8876]

They sponsored themselves. That’s fucking based. Michael is the Saint of KZbin and a national treasure to be cherished.

[@wjgthatsit2357]

or is he??

[@Lallydoo]

And by sponsoring them you help them sponsor other emerging youtubers who create similar content.

[@combineecho5831]

How he brings the topic full circle is really impressive.

[@Gnulcho]

i think it was rather odd of him to do that

[@masaltzero]

He died at the age of 9. *Let’s talk about World War I.*

[@memeologyman9576]

I'm reading this when this comment was 9 minutes ago

[@luvpatel4732]

@@memeologyman9576 is it coincidence? 👀

[@jontysimmonds7671]

I am the lord kf all nuggies and watter

[@melangalade]

wait, airbud died?

[@PatientPete]

I did not expect that, kinda surprised me

[@Brogle288]

“Can a dog play basketball? Lets talk about World War 1 then.” Title: The Odd Number Rule

[@gasleona]

Genuinely made me do a double take

[@Aurora-oe2qp]

Hahah, omegalul youre so original

[@jeremiahhunt8387]

Subject: calculus

[@michaelmiller2210]

I wanna like this comment but the like count is 666 so im not gonna

[@varadsalaskar]

Subject should be Chemistry

[@lizmol-san]

From here on, i will be including my velocity during difficult conversations. Thank you Vsauce. 😌

[@Ashapants]

The way Michael went from talking about a dog playing basketball,to WW1 is just wonderful.

[@nuclearshorts1243]

*at Michael's funeral* "Today we mourn the loss of Michael Stevens. He is gone" *coffin bursts open* "Or am I? Well first we must define 'death'..."

[@szymsonthatmemeguy3181]

,,I didn't really die"

[@JevinJohnson-CloudShift]

After defining death, he lays down in his coffin and actually dies, on his terms

[@whydoihavesomanysubscriber9729]

*This video is all about me.*

[@MovieMaker1040]

Hey Vsauce! Michael here! In order to continue existing past the inevitable heat death of the universe, I require your souls!

[@Noah86]

and then.......HEY VSAUCE MICHAL HERE

[@canser7768]

I hate it when person i'm hugging suddenly starts running and yells: "I'm leaving you at a velocity of 2 m/s."

[@nexfur]

Pog

[@lofi_killer2603]

@@nexfur poggers

[@dawas5370]

Ikr?!

[@coolman43]

so annoying man

[@drshag3313]

@@lofi_killer2603 pogchampion

[@CShellStudio]

Did I just get tricked by Air Bud into learning integral calculus?

[@taylormccarty5027]

This went from having a crisis, to talking about a dog playing basketball, to World War 1, to measuring velocity, to talking about the sides of Colorado, and back to concluding that the dog should not have played basketball. I love it.

[@donnieburgess8488]

The dog died in 1998 *hits blunt* Now let’s talk about World War I

[@prttyuseless]

I stg I died when he said that shit

[@alyssa1684]

I’m so high and when that happened I thought I saw my life flash before my eyes

[@imwithmyghouls]

My history teacher be like :

[@Mountain_2]

The dog was franz Ferdinand

[@amarjeetpaul5418]

Om Shanti!

[@dracocrusher]

Holy crap, that opening was a trip. "Why are we here?" "Air Bud is dead." "So World War I happened!" "Let me teach you about gravity and numerical constants."

[@maxonator3913]

_proceeds to talk about hugs and centipedes and Colorado_

[@matthewwriter9539]

...a truly odd beginning.

[@StefanReich]

It's like Numberphile, just for idiots

[@EndsToAMean]

@@StefanReich wdym

[@StefanReich]

@@EndsToAMean Sorry, I just don't like the channel

[@angeluomo]

I think Vsauce should have ratcheted the wow-factor up a notch by showing how, in his example, the total distance traveled after a given number of seconds is always the square of a whole integer and that these squares, in turn, are the sums of odd numbers: 1, 1+3=4, 1+3+5=9, 1+3+5+7=16, etc. If you take the equation v=mx dx(where m is the slope) and integrate from 0 to any whole number x along the x-axis, you get Area= (m/2)x^2, resulting in total areas that are proportional to squared values at whole integer x-values.

[@PranavVK4128]

I thought so too, but that's not really odd number related which I guess is why he didn't mention it. But he does go all over the place with this video so ig he could have talked about it anyways...

[@lampshade2865]

is there perhaps a simple explanation for kindergarteners

[@phewiss3066]

I like how he says "we have begun" just to let us know that the video has indeed started

[@versace6609]

"There is no rule specifically stating that a dog is not allowed to play basketball... ... Let's talk about World War 1."

[@randolfducanes1028]

Wha-

[@cappyjones]

3 minutes in and I'm pretty sure Michael has a head injury of some sort. 😩

[@chrisblahblahh4468]

Curved balls

[@soupyfr]

"The dog died at the age of 9." "Let's talk about WWI."

[@caniget600subscriberswitho5]

Dats da Michael

[@NakMuay08]

Vsauced

[@grilledfreakingcheese9209]

That’s an *ODD* transition

[@projectretro8243]

I need a time stamp

[@thatoneplayer5407]

@@projectretro8243 1:10

[@aonghusofaolain8686]

As a child I always found it fascinating that when you multiply an odd number by two it results in an even number. Also, when you multiply an even number by two it also results in an even number. Obvious of course but also used to fascinate me....

[@LinkRammer]

Same bro

[@anglaismoyen]

I think you would like things like rings and fields.

[@harlanlewis1999]

Michael makes the most boring subjects seem fascinating, the most complex concepts seem simple, and the most random topic changes seem coherent.

[@ReverendPuffin]

That's great Michael has finally remembered his KZbin password

[@veronicagorosito187]

Against all odds 🤣

[@mohitkujur]

🤣🤣🤣

[@sandeepdas3991]

Hilarious!

[@IAcidI]

We might know his password it has to be odd numbers

[@thegoldenarchers8564]

@@veronicagorosito187 I see what you did

[@BenjaminEarlMusic]

I love how Michael is just doing a parody of himself now.

[@MenacingBanjo]

Every video gets closer and closer to the Jacksfilms parody. kzbin.info/www/bejne/rmmnpaKgfryNeZY

[@melikewafflesgg6167]

Or is he?

[@sohamkarandikar6726]

He is the only one who can accurately parody Michael stevens 😂

[@camdendebruin6667]

Really embracing the meme

[@Nugcon]

yes

[@ChknKng]

Okay so how are WWI, The Odd Number Rule, and Air Bud connected again?

[@ytbvdshrtnr]

The number 9

[@ChknKng]

@@ytbvdshrtnr elaborate

[@ytbvdshrtnr]

@@ChknKng The dog who played Air Bud died at 9, which is an odd number and the number of candles Michael used to spell WWI. He played his segues fast and loose. He got from Air Bud to WWI with the candles and from WWI to odd numbers with an odd coincidence.

[@ChknKng]

@@ytbvdshrtnr thank

[@dielaughing73]

Centipedes?

[@trinanjanchatterjee2092]

Seeing the video was uploaded 3 years ago, I immediately had this thought that this video must have been uploaded back in 2017. Realising my mistake, the only thing that came to my mind was how the people(almost all) lost 2-3 years of the precious time on earth. Being a student, I maybe biased, in my opinion students had had the most crucial time lost.......... Nice video by the way, I was re-watching it ❤

[@janmelantu7490]

Michael: “Let’s talk about WWI” *proceeds to invent calculus*

[@Isiloron]

He also paired up the number nine to show that it is odd.

[@kaskyi6290]

Indeed

[@tobleronej2882]

I was wondering how far it took to scroll until I found calculus. Guess what, it's the first one!

[@TheDelicateDesigner06]

I wonder what WW2 is lmao

[@YouTubeWatcher9000]

TheDelicateDesigner WW2 is even

[@MinimiMax]

"So this dog died at the age of 9. Let's talk about World War I." The master of changing subjects in a descreet way.

[@StopAddingDumbSh.tToYoutube]

discreet*

[@elmothewise3915]

@Kilian Fogarty Stop

[@universal2057]

he went from dead dogs to ww1 to coincidences to odd numbers

[@noods3660]

@@StopAddingDumbSh.tToKZbin discrete*

[@StopAddingDumbSh.tToYoutube]

@Kilian Fogarty sttop*

[@Forthakine]

only vsauce could start a video and immediately get into the meaning of our existence as a species, talk about the beginning and the end of WW1 and then proceed to go into us hugging him and then running away while he calculates our exact amount of velocity while we are running away from him.

[@redrumcoke2363]

"But I would know that deep down, you still cared for me." "Because you told me your velocity." ☝️🤣

[@ivansoedjono]

"I am leaving you at an ever changing velocity!" That's tough man

[@cokeMONSTERps3]

That's rough buddy.

[@Im_Not_Loss]

That's 'nough friend

[@Hack3900]

That's dough sir

[@bilgesez]

eough

[@alexandroochoa5858]

Not if they give their acceleration as a function of time :)

[@Ryan-et3sx]

get you a girl who tells you the velocity that she’s running away from you

[@mongmanmarkyt2897]

why, if you know your own running velocity you can theoretically get theirs.

[@wolfy1398]

that's impossible, she is accelerating

[@moonlightcocktail]

I tried that and now I've been given a restraining order

[@spuhgeddy1084]

colortech pretty sure accelerating has a max for speed

[@gcnelite5983]

Why isn't that a filter on Tinder

[@a1ph0bet]

i got such whiplash when micheal transitioned between air buds death and world war 1

[@evanhorn951]

The transition from an actor dieing at the age of 9, to WW1 was hilarious

[@ZeldavsMusic]

I'm convinced this video was made just so Michael could rant about how Air Bud should not have been allowed to play.

[@Multijee1]

This is a fact.

[@redacted5035]

Rant? You mean preach?

[@jjpgaming7995]

Bans Mans its his Szechuan sauce

[@vigilantcosmicpenguin8721]

I'm glad Vsauce teaches us about the most important things.

[@oatie374]

“Buddy the dog died at 9, now look at this... world war 1”

[@Reesetrain44]

vsauce 100 right there

[@Jomijo]

It all makes sense now!

[@JakubYT]

*spooky coincidences* 5 years ago

[@ZaItan1]

Conspiracy drivel without the conspiracy...just weird nonesense

[@TheNaddaeus]

@@ZaItan1 that's why it's so funny! The exaggeration makes all the difference in showing how conspiracies actual feel like in practice, if closely looked at.

[@JoshuaHults]

Very top notch presentation!! Love the different interconnected threads and the full circle!! If an image of an object can be said to represent that object through sharing of properties such as shapes, proportions, colors…then the mere fact that math has any relevance to nature, or could be said to reflect nature, by that logic must mean that the universe itself is mathematical. What is amazing about this is that math is not merely a set of numbers but rules. That means that the universe is intentional.

[@skc9917]

I would disagree on the fact that the universe is intentional, as intent would imply agency, and agency implies motive, and motive implies reasonable thinking which implies life. The best way to describe the aforementioned rules, would be to call them laws. Now, you'd be forgiven in mistaking them for something equivalent to human laws, as they are only loosely associated by the word "law". In reality, human laws are a social construct of acceptable human behavior that can but shouldn't be deviated from, while natural laws are constants that describe how something is and why something is, and are (as far as we have established) non-negotiable, unlike human laws. Besides, human laws allow for something to exist outside of their own system, because it does not determine the cause and effect of existence, but is merely a guideline for the way behavior should be encouraged/discouraged. While the universe is complex, beautiful and interesting to observe, explaining it with a 'god of the gaps' argument, which is to say that since something happens/behaves the way that it does is for a reason and that reason is a decision is a insertion of an unfalsifiable claim which by all scientific principles must be rejected since unfalsifiable means that it doesn't behave by the scientific principles that have been proven to be true. The closest argument that could be made for intentional design would be to invoke Giordano Bruno's: "natura est deus in rebus" (God is one with the nature/universe, they are the same). But even then, there is no possibility of intentional design of itself, meaning that one cannot design themselves into existence, as they would be non-existent before designing themselves, therefore not being able to design themselves into existence. That, and the fact that this sort of teaching falls under most people's conviction as heresy would make it fall flat on its head. Therefore, the universe is not intentional. It would be as for a fish to claim that it was designed intelligently, because it would die in any other environment other than the water, but the fishes that came before it evolved into a creature adapted for its environment. They were perfect for their environment not because of intent of putting them there, but simply by natural selection, because any 'fish' that went out the water would suffocate or be eaten, so they would not ponder if they were placed on land on purpose because they wouldn't survive on land. TL;DR is that intent is the wrong word used to describe the universe, more accurate would be to say that it is ordered well, I guess...

[@BobFromSeattle]

"... I guess." Correct, you guess.@@skc9917

[@mememachinewow3120]

Talking about Airbud's age of death then shifting to WW1 was a mental flashbang

[@herilchahwala4233]

Vsauce at his wedding “I do.... or, do I?”

[@Kazoo_Itchy]

At his baby’s gender reveal “It’s a girl! ...or is it?”

[@big8531]

I will not say “Or will I”... “or will I?”

[@erent1476]

Heril Chahwala kzbin.info/www/bejne/n4iQkoKsrrRsZ68

[@benecrim1724]

ok that made me laugh so hard

[@Preinstallable]

@@erent1476 kzbin.info/www/bejne/gKjRlHSHqtefp80

[@tofudaturtle271]

Micheal: "let's talk about Air Bud" [Literally ten seconds later] micheal "Let's talk about World War 1"

[@simpli7206]

lol how did it go from a dog to world war 1

[@RBZ06LT6]

Stop polluting the comment section with those stupid generic comments

[@kyti2460]

The dog died at 9. 9 sticks turned into WW1. WW1 has 3 characters.

[@ethantheratioer2217]

1,000 like eyy

[@paytonthornberry1382]

Yes that is what he said. Thanks for clarifying.

[@errobjectshowcommunity]

I like how he went from one question from a scene in Air Bud to WWI to The Hidden Odd Numbers in Velocity to Defining Odd Numbers to Why centipedes are literally named 100 legs to How to Measure Velocity by a hug to The Mathematical Meaning of the Universe to The Colarado Border and back to answering the question that was from a scene in Air Bud.

[@bopiku3985]

Could you imagine if we are all in a simulation and Michael is the only one that isn’t? And he was just telling us about how we got here slowly

[@magicivy]

I'd genuinely be okay with that, actually

[@shadowman432]

I think Michael is trying to tell us he needs a hug.

[@martiddy]

I realized that too, maybe he feels a little bit lonely.

[@windblazeanims6253]

@@martiddy He has a wife tho.....

[@booboo_959]

@@windblazeanims6253 But she hug him?

[@breotan]

Michael needs to be hugged by a beard trimmer. :P

[@johnnylane388]

Darth Revan I was. Scrolling down the comments section and I saw this as soon as he started talking about hugging

[@dpurlacher]

“Air Bud died in 1998 at the age of 9” Me: Ok “Let’s talk about World War 1” Me: Ok

[@sabrinaparas71]

DP Urlacher I love this

[@iGoNorthToo]

Ikr lol

[@bloopbag]

Lmfaoooo

[@Anonymous9572]

I'm at 1:20 and had to pause to video to laugh and get ready for what's next and saw this comment 😂

[@Mpw19]

😂😂

[@partystar91]

This is such a good way to teach the basics of calculus, mad respect to VSauce.

[@danteeightsix9069]

The scariest parts are the pauses between Michael's sentences.

[@mamaluigi7265]

I'm now fully convinced that this man's brain is getting rid of sanity to make room for more knowledge

[@Weaselm0de]

Lmao good one

[@FlowersIguess]

Konsta Kh Or is it? *Vsauce music plays*

[@MacDodle]

Agreed. I think his sanity is completely gone after he ate that donut from inside a toilet.

[@ferrycruise7104]

It started when he was hanging with filthyfrank back in the day

[@NoCharName]

@@squigglewacks smoked weed for 6 months straight. Can confirm. I was obsessed with fractals and their pattern.

[@MrJones1801]

Therapist: Talk freely about anything you want, let your mind go wild Michael: Hold the camera please

[@Lanicatt]

LMFAO

[@Co-uy4mi]

lol

[@digital-rain]

In Mind Field under truth serum he said he enjoys making Vsauce videos more than Mind Field because he can do exactly this, talk about the most random subjects in whatever order he feels like because there is less executive oversight. This is his true form.

[@rajatchopra1411]

during the whole time watching this video, i was like: Sike that's the ODD number

[@KimJongPhil]

Dude the wrap around back to air bud was epic. I miss your videos...

[@theknightofukraine6038]

Once he says “why”, there’s no going back

[@mayrln]

or is there?

[@caiwitt5456]

or is it?

[@Ornoth09]

But why though?

[@dylbol]

🗿

[@coolkidsigmamale]

You would think that.

[@urhotmatua]

Michael's train of thought on the first three minutes: dogs playing basketball > world war one > gravity

[@funkymunky8327]

As a fellow funky kong enthusiast, you have earned the grand title, of my like

[@guestb6319]

Bruh he just got to centipedes for me😭

[@phillyp6969]

At the end my dog started barking downstairs.. did he use a noise or some deal :/

[@alysdexia]

homage to Connections by James Burke

[@rockfish7777]

This is actually how I turn a normal conversation into one about Spider-Man

[@desmondleguay1969]

this felt like a game theory video

[@kitindra]

vsauce is too powerful, he can now phase in and out of reality

[@Brickertown]

Vsauce: Let's talk about Air Bud Also Vsauce: Airbud is dead let's talk about World War 1

[@AkaKame69420]

i want to like but its at 69

[@Aaron7075]

Michael Before: "Here are a bunch of fun facts that fill you with wonder" Michael Now: "I'm going to make you feel like you're having a fever dream while teaching you basic calculus"

[@crimsonstrykr]

How things have changed 😕.

[@Teskar30]

@@crimsonstrykr Yeah man... What the hell happened?

[@vascr0]

More like basic algebra and trig, but you're on the right track anyway

[@crimsonstrykr]

@@Teskar30 Hopefully this is a temporary thing. Hopefully he will go back to his usual self. Hopefully. At least he is still posting. Something to be glad about.

[@crimsonstrykr]

@@vascr0 Well, since its talking about something related to Riemann sums its closer to pre-calculus and basic calculus than just algebra.

[@tamaz88]

“or is it… We have begun” is the most basass video starter in the entirety of youtube

[@XaleanderS]

This is that kind of friend that if you call him or meet him at 2AM or later, he will tell you the story of the universe in less than an hour.

[@guitarherowithjack]

And to think, we probably never would've known that dogs can't play basketball if it weren't for WWI, hugs, centipedes and the state of Colorado...

[@SquidSquids45]

genius

[@AxxLAfriku]

I am the cool kid from Germany making videos for the USA and the rest of the world. I will make your day so don't say nay to my videos today, dear hero

[@whydoihavesomanysubscriber9729]

*This video is all about me.* (if you don’t get it, read my name.)

[@AxTechs]

I feel accomplished being 420

[@spoider1315]

Was not expecting “Michael teaches integrals” today

[@zak7338]

Or were you?

[@50shadesofmycow]

Integrals 4 life broda

[@shikulli]

I just finished calculus and hes gotta bring me right back in!

[@racool911]

Me neither lol

[@THETECHNOLOGYGARDEN]

Riemann is my brooo

[@mazillaplays]

How did he just go from a dog playing basketball to World War One then to odd numbers almost unnoticeable?

[@ryanmcgill3603]

this video is absolutely ridiculously amazing!! thank you so much for all you post!!!!

[@ninjanerdstudent6937]

It looks like Michael found his password.

[@oni8337]

No he found the forgot password button

[@jasper265]

I still think that it has to do with the contract he signed for Mind Field. Whether that means that three years since the first episode or a year and a half since the last one, I don't know. Or maybe I'm totally wrong - it's not like I can prove this theory because he would have signed an NDA about it...

[@kaso9386]

@@oni8337 Nah he forgot forgetting his password

[@aethermiss8636]

Or is it?

[@oni8337]

@@kaso9386 Yes

[@danny3640]

Michael: "Hey, Vsauce, Michael here....................why though?" Me: "here we go again"

[@tyleralmquist7606]

Ah s*** here we go again

[@rayraycthree5784]

The only thing spooky is why anyone would try to connect these things. The PBS Connections series with James Burke was really I interesting, informative and thought provoking. I really enjoyed watching them with my father many years ago.

[@firstjayjay]

why is these vids just so pleasant and chill to watch. with a bonus....

[@acadia5898]

VSauce: Air Bud everyone: yaaayyyyy VSauce: WORLD WAR 1

[@sophiescribbles5070]

ACADIA yaaayyyyy

[@denniscuesta7009]

Aaaayyyyyyy

[@tribomb2065]

Aaaaaaayyyyyyyyy

[@windowsxpmemesandstufflol]

YAYAYAYAYYAYAYAYAYYYY

[@ISUS3EYES]

Lmfao

[@TheRealGuywithoutaMustache]

The real Odd Number Rule: *You're only allowed to use every other urinal*

[@Shadow404x]

It all makes sense now

[@neptune9996]

I saw u on a btd battles video, how do you even find the videos? Do they appear in your recommended?

[@majesticdoge1163]

Hi again

[@Strikker1918BAR]

finally got the answer

[@archiereddy9560]

you feel like an old friend at this point

[@StarBlavkhole]

Watched this on break at work, can’t wait to watch this again when I get home. For some reason this video was just that fascinating to me.

[@shanybiran468]

As some said already this touches on Calculus theory, though not directly mentioning calculus. Distance is the second integral of acceleration, namely 1/2at^2. So for a constant acceleration, the TOTAL distance at any time t = 1/2at^2 For just the distance between two whole number intervals from t-1 to t, we can subtract the two totals: d(interval) = 1/2at^2 - 1/2a(t-1)^2 = 1/2a(t^2 - (t-1)^2) expanding gives : 1/2a(t^2 - t^2 +2t -1) = 1/2a(2t - 1) = 1/2a(2t) - 1/2a(1) Notice the right term 1/2a(1) is the distance at time = 1 unit, the first triangle shown in the video, and the left term 1/2a(2t), is a rectangle made up of twice as many 1/2a triangles as the current time t. So for t = 4 we get (2t-1) = 7 triangles, each of which is 1/2a units of distance. For t = 5 we get 9 triangles and so on. When you just look at the running total of distance it's easy to see the t-squared relationship Time | Interval distance proportions | Total distance (sum of all previous intervals) 1 1 1 2 3 4 3 5 9 4 7 16 5 9 25 6 11 36

[@williamdavis7299]

Me: Can a dog play basketball? Michael: well first let’s talk about WWI

[@samburke9775]

this might be basketball kzbin.info/www/bejne/mqernItvaduZnpY

[@glovepro1256]

That’s gotta be the most abstract segway I’ve ever heard. And I watch Linus tech tips

[@williamdavis7299]

@@glovepro1256 bro same. Or do you?

[@grassSherman]

Lol

[@vaishalishirshikar]

😂😂

[@gavinator10000]

“Huh I haven’t seen this Vsauce video before” *1 hour ago* “Oh shi-“

[@wastedtalent1625]

Same lol

[@Synapse203]

Yep that's exactly what went through my mind

[@xstingrayx]

Exact same reaction. Happened while watching old because no new. This is a miracle! :D

[@jacksonstrand3136]

Gavinator10000 yep same here

[@TheJbash]

Exact same thought

[@wiggedywacked]

This idea of grouping is really at the key to primeness. The trivial cases are when every element is grouped alone (division by itself), or all elements are grouped together (division by 1), which both are excluded due to not being useful/interesting. What you have left are numbers you can group evenly, and those you can't. This is one manifestation of primeness, which is directly responsible for the odd/even ('ness) of numbers. We look at the first case, division (grouping) by 2 (itself a prime) and call it special.

[@comeycallate9959]

The odd numbers from aceleration comes from basic phisics formula where there is a square, and from series we came with the sum of odd numbers from 1 to 2n - 1 is equal to n^2

[@hudgemartin9391]

"I am leaving you at an ever changing velocity" that's just deep, too deep

[@GIPvideos]

This hits different bruh

[@Mike_Toreno]

Its ok, social distancing 🙃

[@battleriflebeats]

This will haunt me for years

[@joe9832]

Let's just hope at some point it becomes negative.

[@pietraolegal]

that's deep

[@MrNight-dg1ug]

Not even 5 minutes in, and he's went from a dog playing basketball, to world war 1, to the assassination of Franz Ferdinand, then to odd numbers.

[@jasper2624]

@@KeimoKissa Beat me to it

[@ameersk3223]

Maybe he should put 7+ on his videos so kids like you should watch easier stuff. I surely found a connection between all topics.

[@MrNight-dg1ug]

@@KeimoKissa Fair. He said a lot of shit - not even 3 minutes in.

[@MrNight-dg1ug]

@@ameersk3223 r/iamverysmart I also found a connection between the topics, but it was all in a very fast, consecutive order - And some very far fetched, like the 9 years the air dog was alive, then turning that into WWI. You, sir, seem like you need approval from people around you; You, sir, are a dirtbag. Insult for insult.

[@MrNight-dg1ug]

@@ameersk3223 Also, *can watch stuff easier

[@davie10863]

I wish you could teach me calculus. I would have an easier time understanding EVERYTHING the way you teach it and would definitely fall in love with math. Awesome educational video ❤

[@_Sapphires4YourLove_]

I’m now always going to use the line “Deep down I know you still cared for me because you told me your velocity. So now I can always know how far away you are from me.” If someone leaves.

[@sgtprize8512]

It feels like Michael is parodying himself in this video

[@thomas.thomas]

True, first i thought Dong would be a parody channel but it is his parody channel Btw. Always has been

[@masternobody1896]

6:38 or is it

[@EverSnaxolotl]

I'm pretty sure he's just gone insane

[@Alistair]

@@EverSnaxolotl gone down a lockdown rabbit hole where he forgot everyone learns calculus in school

[@achannel3295]

Ya

[@derus77]

Michaels Wife: "I'm leaving you!" Michael: *pulls out a stopwatch* "You'll never leave me"

[@asphaltshingles8594]

a tragic tale of distance and love; separated, but never lost.

[@taco6035]

Lmao

[@dornk406]

Micheals wife: I’m leaving you Michael: Or are you

[@enochadeyemi9922]

@@dornk406 cue vsauce curious opening soundtrack

[@lanfour4444]

Michael says back to her: "Every second you're not running I'm getting closer."

[@joearcuri3377]

lmao, glad i happened on this channel! great delivery, new sub

[@hyrumtanner5584]

When something is changing at a rate that is squared, it's inevitable that you will get in each interval the difference of squares. And the difference of squares is actually the odd numbers. 1^2 - 0^2 = 1, 2^2 - 1^2 = 3, 3^2 - 2^2 = 5, etc. In general the difference of any two consecutive squared values is the odd number they create in sum. This gives us (n + 1)^2 - n^2 = (n+1) + n = 2n + 1, which of course is always odd. And it matches the 2n + 1 he mentions in the video.

[@TbdPonchoBillionaire]

Michael: “let’s talk about Air Bud; the dog is dead. World War 1.”

[@maxcernich8906]

Now odd numbers

[@tikigamersquid5091]

Take my dislike,i dont like these types of comments

[@tikigamersquid5091]

No offence

[@RubyBfb]

Now about the speed you are running away from me after a hug, now back to Air Bud.

[@tikigamersquid5091]

RubyBfb aight you madlad

[@Will-jg2zs]

When the world needed him most, he returned.

[@whitedragon7436]

I was missing him ;-;

[@PashaGamingYT]

No, he vanished. But now, he has returned. And he's DETERMINED to strike ignorance down.

[@__.130]

Pasha Gaming YT true he god

[@bentaylor476]

Holy shit ...you just absolutely nailed it The man , the myth ,the legend.

[@thenoonegamer2678]

You copied by comment I:(

[@dxtrum]

I noticed this when we learned about parabolas in school. They were always really easy to graph if you realized that you could just increase the value by odd numbers. First you go up by 1 then 3 then 5 then 7 and so on. You can see this yourself just by looking at the differences in the squares of numbers as you go up (1-0=1 4-1=3 9-4=5 16-9=7 and so on). Ofc you have to multiply this pattern by the 'a' value of the quadratic function but the pattern of odds always stays true to how its shown in this video

[@philipwade658]

I enjoyed your presentation style, tone, and visual perspective. For future videos that teach new things to improve ourselves, you can also improve by correctly using "further" for quality and "farther" for distance : ) and using "me" when referring to yourself as a direct object and "I" when the subject. Great to teach proper science along with grammar : ) Thanks for making an interesting video. Best wishes.

[@juliantheboss275]

“the dog who played airbud died in 1998 at the age of 9. . . Let’s talk about World War 1” vsauce 2020

[@pngCOATS]

You’re clearly new to this channel so let me welcome you

[@StarScapesOG]

That is exactly how these videos always go.

[@wiss256]

It's really weird because it all connected in the end

[@lav1455]

he made ww1 with the candles

[@1manApocalypse_CP]

And i was born in 1998.

[@mattpeacock5208]

This is the long way around explaining the derivative, but I'm still glued to the screen.

[@key1526]

Thanks for teaching us about integrals Michael I appreciate it

[@asherashenclaw1448]

Vsauce: Is there really no rule against a dog playing middle school basketball? Me: What does this have to do with odd numbers Vsauce: *_WE GET THERE WHEN WE GET THERE_*

[@Yora21]

Or did we?

[@autopilot4164]

Yora ST?

[@riotwithlove1849]

You must be new here

[@boriswilsoncreations]

@@Yora21 kzbin.info/www/bejne/in-VZpqeoMuah6M

[@sunsetsonmars]

Michael's parents: Omg he's about to say his first word Michael: 𝙊𝙧 𝙖𝙢 𝙞

[@chibidib]

That's actually hilarious 😆

[@sirwacky6457]

this comment is so under rated

[@pen5666]

*give this man more likes*

[@quag4898]

Copied comment

[@sunsetsonmars]

@@quag4898 sorry I didn't know

[@potatoman1113]

How does he always connect everything he talked about in the end of the video? Its insane

[@HappyBeezerStudios]

I recently noticed that quadratic numbers also increase by that rule. 1 squared is 1 more than 0 squared, 2 squared is 3 more than 1 squared, 3 squared is 5 more than 2 squared, 4 squared is 7 more than 3 squared and so on.

[@pd5229]

The number "seven" has an "even" in it. That's odd

[@CasualMitosisCollective]

o_O_0_O_o

[@stonebelue]

Wow

[@miriamrosemary9110]

Actually, it's even plus one more letter, 2n+1, so it's definitely odd!

[@Spingerer]

Miriam Asofsky Or is it?

[@Hack3900]

But seven...ty has an odd amount of letters and is even

[@anasnadaf6609]

Normal people: Hey, things aren't working between us. VSauce Audience: I'm running from you at an ever-changing velocity.

[@wariomario8913]

Wa

[@AyaTanaka_]

VSauce has 16 million subs stop acting like youre someone special because you watch him, there are literally 15.999.999 others like you

[@anasnadaf6609]

@@AyaTanaka_ Thanks for reminding me , have a good day.

[@thezipcreator]

@@AyaTanaka_ Who pissed in your cheerios?

[@lorrainehackett4786]

@@AyaTanaka_ what made you think they thought they were special from their comment?

[@michal88gno]

Brilliant! I have a kinematic lesson with SUVAT's and used this ratios 1:3:5:7... to solve the problem. Nice job!

[@KombatGod]

To answer the AirBud question, there is no rule explicitly specifying that a player must be human, but that IS implied by other rules, like regulations on uniforms or mentions of human body parts. A dog couldn't play basketball because he wouldn't be able to wear a uniform with the proportions indicated in the rules (let alone playing with no pants and two pairs of shoes), and because he'd never have his "feet" on the ground since he doesn't have feet to begin with.

[@thepersonwhocomentz]

Michael out here just casually explaining calculus to the masses.

[@Alex-yz5bj]

PvtRyan96 literally just gave the basic theory of integrals

[@steavf9455]

Well it's a bit of basic calc but most of what he covered was physics

[@ryansmith135]

Stephen Domaratzky they really are one and the same

[@jaybird2616]

Ryan smith they really are not

[@YT-Observer]

@@steavf9455 calculus was really sort of invented to solve Physics problems. Like most of physics couldn't exist without it