"I like ABBA music." "I wish bad upon you." I love that exchange.

@matszz

8 жыл бұрын

My favorite was "You look very valid today".

@legobrickology9167

7 жыл бұрын

I am so using that...I wish bad upon you.

@owen-cu6gr

4 жыл бұрын

Me talking to my parents

@DarthTwilight

2 жыл бұрын

You misspelled AB=BA

@DarthTwilight

2 жыл бұрын

"Just stunningly-provable!"

'you are looking very valid' is my new go-to compliment

@Rocklegend953

9 жыл бұрын

hahahahaha

@coloneldookie7222

9 жыл бұрын

donkosaurus "Amazeballs!"

@Markus9705

9 жыл бұрын

donkosaurus xD

@muffinspuffinsEE

9 жыл бұрын

donkosaurus I'm thinking of studying math at the university, so this is a great onelinear/pickup line I guess xD ;D

Finally, I have a reason take my calculator with me on dates.

@visualdragon

9 жыл бұрын

Emrys Auen And if she wants to play with it when you whip it out you know right away you've got a match. Worst case, you'll be able to calculate the tip and split the check. :)

@chrisphuckitt7818

9 жыл бұрын

Emrys Auen Don't forget to hook up your date with a heart rate and blood pressure monitor. Wouldn't want to be inconsiderate.

@iaortega657

9 жыл бұрын

Emrys Auen "what's that big thing in your pants?""my TI-89"

@AllThreeWitches

9 жыл бұрын

You can turn it upside down and type 58008 on it

@hellNo116

8 жыл бұрын

+Emrys Auen i thought in this age we all do it... it is our cellphone as well

"You look very valid today."

@Eraknelo

7 жыл бұрын

My favorite new way of validating someone.

@arveycozza9820

6 жыл бұрын

Yeah, that's cool

@CinderTheFox

4 жыл бұрын

I wanted to put that

@SRPhantoms

3 жыл бұрын

That statement makes total sense now lol

My relationship equation had a divide-by-zero error!

@MarcelRobitaille

9 жыл бұрын

Mine has a 404 not found.

@2thinkcritically

9 жыл бұрын

Marcel Robitaille Could be worse. At least it's not a 403.

@MarcelRobitaille

9 жыл бұрын

2thinkcritically Or a 500

@2thinkcritically

9 жыл бұрын

Marcel Robitaille Or a 402. Or a 410.

@MarcelRobitaille

9 жыл бұрын

2thinkcritically LOL

I could listen to her talk all day

@brandyraccoon1473

6 жыл бұрын

3:09 Hannah Fry vocal fry

@joops110

6 жыл бұрын

Me too, I don't even like maths.

@runescapefan0001

6 жыл бұрын

I'll be honest. The ad at the end of this video was the first time I considered buying an audio book. Lol

@auakaga

6 жыл бұрын

Damn straight, compadre.

@DimitriosDenton

6 жыл бұрын

Buy the audiobook.

I usually ignore the audio books plug in, but having Hannah talking mathematics right into my eardrums? Now I am reeeaallly thinking about it...

@clermeil

9 жыл бұрын

And being an ascetic is a waste of life.

@morgengabe1

9 жыл бұрын

***** Yeah, but once upon a time there wasn't and we shouldn't forget that crucial part of human history smarty pants.

@morgengabe1

9 жыл бұрын

***** No, just for you to explain why we as humans wouldn't live by the same measures as humans lived in the past if both we and they were equally human? Scientific concepts and technology are advancements and comforts, but even chimps can gamble and use tools.

@clermeil

9 жыл бұрын

You've said nothing to comprehend except some vague notion that you feel humans should have evolved beyond sexual and other visceral urges and seem to be on some mission to desexualize the species. When I ask you point blank to clarify, you respond with some trite adolescent internet retort. Let me ask you point blank again, what is your point?

@jspr2k5

9 жыл бұрын

Shaun Murphy **applauds your post**

-"You forgot the trash" -"You forgot to remind me of the trash" -"You forgot to remind me to remind you about the trash" .....TO INFINITY AND BEYOND!!!!!

@minde35

9 жыл бұрын

lin4cba Would they not die before reaching infinity?

@lin4cba

9 жыл бұрын

Let's put it into equation and find out ;)

@mojojoji5493

9 жыл бұрын

Ooooh ;)

@oi565

9 жыл бұрын

Yes No Even if they never died, they would not reach infinity.

@minde35

9 жыл бұрын

oi565 my comment is still valid

So in conclusion, honest communication is still the most important thing for healthy relationships! It's interesting to me that we all say we know this, but yet still don't put it into action on all occasions.

@bengineer8

6 жыл бұрын

It can also be generalized I hav lost many friends cuz of lack of communication

@mateussilva635

2 жыл бұрын

@@bengineer8 Friendship is still a relationship you know

@atozedism

2 жыл бұрын

Not just honest, willingness to listen and resolve.

Fiction: You can't put values to feelings. Mathematician: Lemme show you how it's done

@danieljackson654

2 жыл бұрын

Psycho-physical scaling or Magnitude Estimation, just to name two methods that work well.

So...... if I got the video right, the mathematicians more or less proved that communication in relationship is important for its success and ignoring problems is bad?

@theletterwynn

7 жыл бұрын

Totally not like we didn't know that for thousands of years.

@cr4zyj4ck

4 жыл бұрын

Yes.

@KristopherNoronha

3 жыл бұрын

@@theletterwynn but now there is PROOF! (actually, i might have to hear the whole book to say if there's proof - this seems more like a hypothesis)

@kindredtoast3439

2 жыл бұрын

Huh. Who would've thought?

"I wish bad upon you"

@ToastyOs

8 жыл бұрын

+BaconOfTheDarkSide you look very valid today

@snowfloofcathug

7 жыл бұрын

ToastyOs AMAZEBALLS

@snowfloofcathug

7 жыл бұрын

ToastyOs AMAZEBALLS

@kailomonkey

6 жыл бұрын

'I like ABBA'

Love is irrational, but with fractions.

What's the mathematics of the "What's wrong?"..."Nothing" phenomenon?

@markdobson7575

9 жыл бұрын

SlideRulePirate That's the "Stonewalling" factor. 3:44

@SlideRulePirate

9 жыл бұрын

Shattered Anvil Thanks. I never knew that there was an actual word for it. I only knew that the only non-losing strategy for that game is not to play it.

@krombopulos_michael

9 жыл бұрын

Well stonewalling means withholding information in any way, it's just that refusing to say what's wrong with you is basically that because you're not sharing how you actually feel.

@sk8rdman

9 жыл бұрын

SlideRulePirate A relevant point about that note is that if you're in a relationship where someone is asking "what's wrong?" it's too late for you to choose not to play. You're already in the relationship. If you value that relationship, you're likely better off discussing the issue, because avoiding it is as bad as neglecting the relationship.

@SlideRulePirate

9 жыл бұрын

sk8rdman I see where you are coming from and I was that idealistic as well once, but...The partner who asks "What's wrong?" is demonstrating that the relationship is valued because it shows care and concern, through recognising the existence of a problem and is taking the first step in addressing it. Doesn't sound too much like neglect to me so far.. . The partner who replies "Nothing" is actually devaluing that relationship by being emotionally manipulative and is also insulting the intelligence of the other. It is, in effect, a tacit effort to shift the centre of mass toward the "Nothing" side so that going forward there is unequal investment and power in it. If you are on the receiving end of a "Nothing" then you have learnt something about the person and about how they really see you. Your self respect should be screaming at you that the relationship has either just changed or was never how you thought it was. If you carry on exactly as before you do so in the fantasy land of wishful thinking. Life is far too short to waste any of it being lead around by the emotional nose by someone who does not respect you.

Fun fact: If a person wishes bad upon you for liking ABBA, you should not be in a long-term relationship with them.

@minecraftninja1622

7 жыл бұрын

truth.

@UnlinealHand

7 жыл бұрын

Yes, because people should be tolerant of other people's tastes, not matter how bad.

@conty7181

5 жыл бұрын

Some people may dispute this this fun fact, with relevant arguments

@_catzee

5 жыл бұрын

@@UnlinealHand ooooooooooooooooooooooooooooooooooooooooooooooooof

I think the area between T- and T+ ought to be called the range of expectation. Outside of this range is the range of surprise.

RIP single people who thought this was gonna help them

6 жыл бұрын

I thought it was gonna help me marrying Hannah.

@leo17921

4 жыл бұрын

whoever even thought a random math video was gonna help them

@cr4zyj4ck

4 жыл бұрын

Secret to a successful relationship has been broken down mathematically! Turns out its communication.

@Metallica4Life92

4 жыл бұрын

Jokes on you, my friend. I got to spend time listening to and looking at a smart and beautiful lady:D

I have never been so tempted to try Audible.

Brain: big Appearance: beautiful Voice: soothing Possibility of me ever finding someone so perfect: square root of -1

@KToMmi

3 жыл бұрын

So you have a probability of i?

@PabloGarcia-gw1np

3 жыл бұрын

@@KToMmi you could say they have no real chance

@KToMmi

3 жыл бұрын

@@PabloGarcia-gw1np I liked that

"You look very valid today" XD

"You look very valid today!" I just learned a perfect de-escalation tool. Awesome :D

@francoisbruel9163

Жыл бұрын

It is in fact my default greeting phrase

The couple's speech bubbles were the best. "This is for you!" "AMAZEBALLS" :-D

@bur2000

4 жыл бұрын

Amazeballs sounds like something from Life is Strange.

I'm in electrical engineering, the equation looks like something from my systems and signals class, whereas the step functions (graph) were learnt in a partial differential equations math class. There's a large bias that we're terrible at relationships (no time, nerdy, whatever), but all this time, we had the tools to potentially engineer a perfect relationship :D

@xXxBladeStormxXx

8 жыл бұрын

+Sophia Ha "Partial differential equations math class" "electrical engineering" lol...please.

@kingacrisius

2 жыл бұрын

@@xXxBladeStormxXx ?

@jimannothe

2 жыл бұрын

@@xXxBladeStormxXx kha?

This was a wonderful video, my two absolute favorite parts about it were: -"I like ABBA music." -"I wish bad upon you." and how it made me think about USA and Russia being an old married couple.

Her TED talk on the same topic is great as well. I can listen to Hannah Fry talk for hours..

haha, showing validation = "you look very valid today" 3:33

@doctoriampagliacci7945

4 жыл бұрын

No, no...showing validation. Like wearing a sign "I'm valid today".

"you look very valid today" hahahaha. Who wrote the drawing's dialogue? It's hillarious

The most important thing in every relationship is communication.

@jamez6398

9 жыл бұрын

XouZ And not raping or domestic violencing the other person.

@jamez6398

9 жыл бұрын

***** I don't know, I love raping chickens... :/

@Grisu.

9 жыл бұрын

no its trust

@Leucrerhedix

9 жыл бұрын

Grisu69 You cant have trust without communication and you wont communicate without trust. They go hand in hand

@papayaman123

9 жыл бұрын

***** I was just joking...pls don't get mad.

AMAZEBALLS

An other reason why those couples end up having a longer relationship might be the fact that, agruments/fights happen often and aren't big deals while for others, when a big argument happens, it's done for.

Simply put, communication and not being afraid to fight with someone, is the best way to be.

More Hannah Fry videos, please. I could learn from her all day every day for the rest of my life and never tire of it.

Hannah is GORGEOUS!

Being so beautiful and smart at the same time is kind of illegal

That's all well and good, but the real question is. Can we use this information to stop these ridiculous arms races?

Hannah is so beautiful.

@hacker-7214

9 жыл бұрын

So m I

@HistoricaHungarica

9 жыл бұрын

And smart!

@NarutoSSj6

9 жыл бұрын

AlwayzPr0 And masculine.

@jamez6398

9 жыл бұрын

NarutoSSj6 The more masculine, the better. Up to a point.

@jamez6398

9 жыл бұрын

j0nthegreat Whatever floats yer boat. Prefer looks myself.

Would this apply to any relationship. A teacher and class for example?

@2ndNoblesseoblige

9 жыл бұрын

That's a very interesting thought. Presumably it would indeed be applicable to similar relationships, since it is mainly based on type of responses, not necessarily on the content of the conversations.

@jakehalford8541

9 жыл бұрын

Brad Walkom Yeah, a teacher can only take so much sodding around before they flip out, and a class can only take so much inconsideration before they get pissed off.. I don't know if it would matter that the class has no ability to do the equivalent of shouting at the teacher though?

@2ndNoblesseoblige

9 жыл бұрын

Oh students will shout at teachers if they are that engaged in an argument with the teacher. But I guess that certain response restrictions are still considered in this process.

@Marqo34

9 жыл бұрын

Very fascinating question indeed. Personally, I think that appplying this equation to the teacher-class situation would be far more difficult. I guess you could technically do it, but only on the condition that you perceive group of students as a single, unanimous organism. In reality though, I don't think you could do that since class consists of many people with diverse personalities, etc.

@jamez6398

9 жыл бұрын

TheSkepticalApple No.

I would like Dr Fry to tell us a lot more about the science of predictive statistics and complex systems, maybe an initial pilot mini-series of around 100 videos plus background material on the other channel would be very nice indeed.

i made a boolean equation form for my high school senior final research paper. made two equations per character with three characters per book for three books. your equation was my inspiration to it and i think with a little more work i could get my analysis of the change in equations of relationships through the generations could even one day be published

Her voice is very soothing, i can listen to her talk for days haha.

The *shape* of the "I" is important not the actual numbers. Did I just hear that size doesn't matter?

the best video I've seen in 2016.... simply awesome

This makes sense with how friendships work, too. The friendships that I always see being the strongest tend to involve a lot more criticizing and small arguments. On the other side (and I've experienced this), friendships that fall through are the ones where you are actively trying to ignore the small negatives until finally, you've had it.

“You look valid today” - stick man 😂😂 3:33

interesting stuff indeed. I just learned my relationship's in the greatest of paths!

@RochesterOliveira

9 жыл бұрын

jackpaice that's quite interesting indeed, I've been doing this for 8 years now and didn't even notice! :)

@David-ld3ts

9 жыл бұрын

Do you mean that sarcastically?

@jackpaice

9 жыл бұрын

Edward Kenway no...

@nilen

3 жыл бұрын

Edward Kenway no...

I have to say, mathematicians would probably be among the very last people I would go to for relationship advice.

@kestasjk

3 жыл бұрын

All the family friends who are mathematicians or stasticians all punch way above their weight with their partners actually

I've seen quite a few Audible sponsor spots in my days, but this one is the most effective so far.

I think one thing that I do question about this is the scoring system. I think some studies have shown that a negative reaction is more ...powerfully negative than a positive, because it is more unexpected in society. Perhaps that study only applies to first impressions, but I would think it probably would have some affect in a relationship, too.

I love the stick figure relationship! "here's a diamond ring!" "amazeballs!" 😂😂😂😂

That's really nice to know that you actually argue a lot about small things. Well of course when you think about it now, it feels so obvious. When you constantly argue about small things and get them resolved early on, the issues aren't going to get any big scale and emotions involving those constant small arguments are also going to stay small so there's no fear of losing anything big or that eagerness to "win" the argument to gain something big. The arguments stay on civilized level and they stay small and life continues.

@asneakychicken322

7 жыл бұрын

And importantly of course how you argue, like whether you are validating or humorous or whether you "wish bad upon them" like was said in the video

Great video, as always! I especially appreciated the Audible "tease" at the end where we get to hear Hannah reading her new book. Well played, sir....well played.

Spaff... just cause they didnt wanna use sacs

@anatine_banana_69

3 жыл бұрын

my thoughts exactly

Thanks for the great video, I love Numberphile! This one was especially cool in that this time I could share Numberphile with my girlfriend (who is HR, not an engineer like me) and SHE liked it too! I wanted more, however! It was great to see the one equation and scoring system, but I'd like to see the dynamics demonstrated more concretely. And the comparison with countries going to war is fascinating--but where's the example showing two countries and how they did or didn't go to war?

What i got from this video is that your significant other is a nice person, especially to you since they got you a beautiful diamond ring. Also you generally speak up about things they do that bother you, but you are aiming to set your threshold higher to push your relationship toward the more positive quadrant.

8:24 download bait

@nicholasfernandez7720

6 жыл бұрын

definitely

@NomadUrpagi

4 жыл бұрын

And said with a low tone to arouse us. Damn women use psychology to sell

@nilen

3 жыл бұрын

It’s 100% worth it

Pretty sure if you listen to a couple argue for 15 minutes, without the system, anyone could tell with a 90% accuracy if they're going to get divorced.

@petarbul

9 жыл бұрын

No

@R3fug333

9 жыл бұрын

perokb24 Maybe not you.

@rjlee3112

9 жыл бұрын

R3fug33 Maybe not after 15 minutes, but over a longer observation period I'd agree that it is not that hard to figure out where a relationship is going.

@julianvillaruz

9 жыл бұрын

R3fug33 But since this is a formula/algorithm, that means a computer can too, and that's the takeaway here. A lot of things are easy for humans but hard for computers (making conversation) and vice versa (chess)

this is a brilliant use of mirroring ... The de esculation process if you used a reverse mirror is absoloutly mental ...so much control of a situation

Joy, Sadness, Anger, Disgust and Fear - Riley's emotional team!

I'd like a changepoint analysis algorithm to determine when yo do like someone and a probabilistic model to determine whether someone likes you, that would be awesome, but I think the first one would be almost impossible to implement in real life. The second may be implemented as a calculator using Bayesian statistics, demographics and some custom parameters (such as size of population and a safety factor)

My love equation: f(x)=abs(sin(x)) + 5*e^(-x^100)*cos(x) (where -3

@PapoochCZ

9 жыл бұрын

I giggled

@miguelguerrero3394

9 жыл бұрын

My love equation is f(x)=sqrt(-|x|) :(

@razielhamalakh9813

9 жыл бұрын

Angular Momentum |x| is always real and non-negative.

@nrxzionistlibertarian6168

9 жыл бұрын

Udit Gupta Your mum still found it pleasant.

@Markus9705

9 жыл бұрын

libertarianDE This is just amazing.

That is awesome! Very interesting video and I like Hannah's way of explaining things.

This makes a lot of sense. My dad's family airs all their problems all the time, and makes no secret of being in each other's business. The result: no divorces in the last three generations. My mother's family on the other hand is much more reserved and keeps things hidden and secret from one another, in the name of being polite above all else to each other. The result: four divorces in the last three generations.

That is so weird that couples with a low negativity threshold get on the best. Does that mean that they constantly pester each other with big fights over little things? I cant see how I'd stay in a relationship if I am walking on eggshells knowing that my partner could have a strong negative reaction to something only slightly negative. It makes me wonder if the people designing the tests, and deciding whats positive or negative (or whats worth positive or negative points) are perhaps biasing the tests for the kind of person they are. I've seen disagreement, even among professionals, on what constitutes stonewalling; one party is stonewalling but when the other party does seemingly the same thing, no stonewalling is called out. So basically, how do you remove bias from the tests? And do any of the personality models factor into the equations? INTJ, etc? I would think that would change the results. Maybe not. But I dont think I could ever be happy in a relationship with someone who had a low negativity threshold, and so were always irritated. So I guess I'm a bit surprised.

"You look very valid today" **takes notes**

Very interesting! This is pretty similar to an excerpt of a book on anthropology that I read quite a while ago (can't remember the title of the book anymore) which posits that cultures that seem more tolerant, forgiving and respectful end up being more violent than cultures that are more confrontative and open about the feelings each member of the society have with the others.

The message here is that honesty keeps your relationship together. Though that ought to be a given, since that's all a relationship is.

"I like ABBA music." "I wish bad upon you." "... k den :'( "

she makes me wanna study math more ;)

wow this changes my life completely

This is mathematical psychology. I don't just approve of it: I bloody adore it!

But.. But... I wanted to see the model applied! It looks like an amazing series of differential equations, and depending on the numeration of everything, I can imagine it making a very interesting state space. *wimper* But seriously, thanks a ton for sharing this with us! It's fascinating to see this kind of social analysis and interesting to consider what useful conclusions might be derived from this research.

"I wish bad upon you" cracked me up so much. Just made my day.

This video looks very valid today!

Where does the heart rate, blood pressure and skin conductivity come into play in this experiment?

@sandwichboy1268

6 жыл бұрын

Daniel measuring mood and stuff. Aka: helps measure their reactions to the conversations

"AMAZEBALLS!"

This is incredibly fascinating.

the animation is so clever, as usual. brady you found a winner.

smart girls who are sexy are sexy

@bentleykennedy-stone673

6 жыл бұрын

Tautologies that are tautological are tautological.

@blew1t

5 жыл бұрын

Really stretching to include your islamophobia in this conversation, but more than anything I'm impressed.

@elisabeth4912

5 жыл бұрын

@NihilisticEntropy ?

@neliq7670

5 жыл бұрын

a+b includes a in it, that's right.

@dawidaleksanderwitkowski7455

4 жыл бұрын

Simple truths are true that are true

What was the p-value?

I always watch every numberphile video as soon as they come out, and I always learn something with them, but in this one I can just concentrate on that gorgeous red hair and voice.

This video tought me more about women, relationships and love more than all those years dating!

two different female redhead mathematicians on numberfile. what are the chances? literally.. you should have a statsitics guy/gal look into that :)

@chrisphuckitt7818

9 жыл бұрын

Ruudsch Ma' Hinda Well... this channel is based at the University of Nottingham. It's kind of like the redhead capitol of the world.

@MarcDonis

9 жыл бұрын

Ruudsch Ma' Hinda If we use the incidence of red hair in northern and western Europe, which is about 2 - 6%, and if these two are the only female mathematicians on Numberphile... then I suppose the odds of a *second* female redhead are about 2 to 6%. Note that the first one was not surprising, since she might have had any of a number of unlikely traits.

@chitlitlah

9 жыл бұрын

Marc Donis Maybe he has a thing for redheads in particular, in which case the first one would count.

@fransezomer

9 жыл бұрын

Ruudsch Ma' Hinda Hmm... interesting point... But the true question is: 'Does the carpet match the curtains with redheads?'.

@hollth6770

9 жыл бұрын

Pietje Puk I have a theory that eyebrows tell all

Very clever and super interesting!

Best Audible plug ever, BTW.

I know an other love equation: (x²+y²-1)³-x²*y³=0

@jgmartn

9 жыл бұрын

Trestein Jordklatt Heart curve

@kikones34

9 жыл бұрын

But that's empty love. Here you have real love: (cos(x)^(1/2) * cos(200*x) + abs(x)^(1/2)) * (4-x^2)^0.01

@unvergebeneid

9 жыл бұрын

***** At least Wolfram Alpha is refusing me with this one. They don't feel the love, they just feel that I've exceeded their computation time.

@tresteinjordklatt8133

9 жыл бұрын

Penny Lane Try this: (cos(x)^(1/2) * cos(200*x) + abs(x)^(1/2))*(4-x²)^(1/100) from -5 to 5

@unvergebeneid

9 жыл бұрын

Trestein Jordklatt It's the imaginary part that makes the thing really charming IMHO :)

Her voice is amazing.

Could've been first, but I couldn't wait to watch her speak. This is really impressive! Research is something that really can describe some of the most seemingly random stuff there we find in this universe. So good.

She kinda cute.

@jamesssss621

7 жыл бұрын

Kinda?

@LorrdFfuzyLogik

7 жыл бұрын

You English kinda rubbish.

@jamesssss621

7 жыл бұрын

NecroBanana Especially considering he didn't use the proper pronoun lol.

@LorrdFfuzyLogik

7 жыл бұрын

NecroBanana But it IS an example of your writing skills. Only one, small example, mind you, but it's still valid.

@LorrdFfuzyLogik

7 жыл бұрын

NecroBanana NO I DON'T WANT TO. :(

Amazing woman!

great information

0:49 I don't know why "I wish bad upon you" kind of cracked me up here. 😂😂

Hannah, my love for you is like y=2^x... exponentially growing! ;D

@WorldsOfWalsh

9 жыл бұрын

TheYvesL y=e^x :D

@garethlan78

9 жыл бұрын

Dylan Walsh 2^x has an exponetial growth. It is not the exponential function properly speking but it's growth is :)

@rtswift

9 жыл бұрын

"i can only think about one thing when i see hannah, and thats the integral of e^x"

@Xalnop

9 жыл бұрын

Aedra Daedra Complex?

@MrTknight33

9 жыл бұрын

Xalnop I would rather say imaginary.

one thing is clear in the equation: tu estai riiiicaaa, como para que te den como caja toda la noche 😂😂😂😂😂😂😂😂

@CoolJoe330

7 жыл бұрын

Indeed

i have never in my been more convinced that i need to go to download an audio book

I'll get that book! Please keep promoting the work of your scientists, I am too lazy to google them myself.

guys i think i'm in love

Quick question: Whats 0 to the power of 0?

@hollth6770

9 жыл бұрын

honey_badger777 1.

@tedlibum

9 жыл бұрын

Hollth cool

@seanlegge3854

9 жыл бұрын

honey_badger777 Actually, it is an indeterminate form, meaning that expressions of this form need not have a unique limit. For example, the limit of x^0 as x approaches 0 from above is 1, but the limit of 0^x as x approaches 0 from above is 0.

@seanlegge3854

9 жыл бұрын

Limits are the ONLY way to consider such expressions. Without limits, 0^0 is undefined. Period. Otherwise, you run into the mathematical version of an unstoppable force meeting an immovable object: 0 to any power should be 0, but any number to the power of 0 should be 1.

@pedroalexxxxxx

9 жыл бұрын

Uhm I think you're right.

This links in quite well with a module I'm currently taking, very interesting actually

I think the ending of this video gives a very good advice on relationships, regardless of the math behind it :)

I love you Hannah !!! :)