The mathematics of love | Hannah Fry

Prevoditelj: Katarina Smetko Recezent: Ivan Stamenković

Today I want to talk to you about the mathematics of love.

Danas bih vam htjela reći ponešto o matematici ljubavi.

Mislim da se svi možemo složiti

Now, I think that we can all agree

that mathematicians are famously excellent at finding love.

da su matematičari poznati po tome da s lakoćom pronalaze ljubav.

(Laughter)

But it's not just because of our dashing personalities,

Ali nije to samo zbog naših očaravajućih osobnosti,

superior conversational skills and excellent pencil cases.

fantastičnih društvenih vještina i izvrsnih pernica,

već i stoga što smo zapravo stvarno puno radili na tome da izračunamo

It's also because we've actually done an awful lot of work into the maths

of how to find the perfect partner.

kako pronaći savršenog partnera.

Now, in my favorite paper on the subject, which is entitled,

U mojem najdražem članku na tu temu, čiji je naslov

„Zašto nemam djevojku” (Smijeh)

"Why I Don't Have a Girlfriend" --

(Laughter)

Peter Backus tries to rate his chances of finding love.

Peter Backus pokušava procijeniti svoje izglede da pronađe ljubav.

Now, Peter's not a very greedy man.

Peter nije vrlo zahtjevan čovjek.

Of all of the available women in the UK,

Od svih žena koje žive u Ujedinjenoj Kraljevini,

all Peter's looking for is somebody who lives near him,

Peter traži takvu koja živi blizu njega,

koja je prave dobi,

somebody in the right age range,

somebody with a university degree,

koja je završila fakultet,

somebody he's likely to get on well with,

s kojom bi se mogao dobro slagati,

somebody who's likely to be attractive,

koja bi bila privlačna,

somebody who's likely to find him attractive.

kojoj bi on bio privlačan.

(Laughter)

(Smijeh)

And comes up with an estimate of 26 women in the whole of the UK.

Na kraju je procijenio da u cijeloj državi ima 26 takvih žena.

(Laughter)

It's not looking very good, is it Peter?

Ne izgleda baš dobro, zar ne?

Now, just to put that into perspective,

Da bismo to stavili u perspektivu,

that's about 400 times fewer than the best estimates

to je oko 400 puta manji broj od najboljih procjena

of how many intelligent extraterrestrial life forms there are.

toga koliko postoji inteligentnih izvanzemaljskih oblika života.

And it also gives Peter a 1 in 285,000 chance

Peter tako ima šanse u omjeru 1 : 285 000

of bumping into any one of these special ladies

da tijekom izlaska naleti na jednu

on a given night out.

od tih posebnih žena.

I'd like to think that's why mathematicians

Rado bih mislila da je to razlog iz kojeg

don't really bother going on nights out anymore.

matematičari više baš i ne izlaze.

No, ja osobno

The thing is that I personally don't subscribe

ne prihvaćam takav pesimistični stav.

to such a pessimistic view.

Because I know, just as well as all of you do,

Zato što znam, kao i svi vi,

that love doesn't really work like that.

da ljubav zapravo ne funkcionira tako.

Human emotion isn't neatly ordered and rational and easily predictable.

Ljudski osjećaji nisu uredni ni racionalni i ne može ih se lako predvidjeti.

But I also know that that doesn't mean

Ali znam i da to ne znači

that mathematics hasn't got something that it can offer us,

da nam matematika tu ne može ništa ponuditi

because, love, as with most of life, is full of patterns

jer se ljubav, kao i mnogo toga u životu, često odvija po određenim uzorcima,

and mathematics is, ultimately, all about the study of patterns.

a matematika je, na kraju krajeva, proučavanje uzoraka,

Patterns from predicting the weather to the fluctuations in the stock market,

od predviđanja vremenskih uvjeta do fluktuacija na tržištu dionica,

to the movement of the planets or the growth of cities.

kretanja planeta i rasta gradova.

And if we're being honest, none of those things

A, iskreno, ništa od toga

are exactly neatly ordered and easily predictable, either.

nije baš naročito uredno niti se može lako predvidjeti.

Because I believe that mathematics is so powerful that it has the potential

Vjerujem da je matematika toliko moćna da nam može

pružiti novi način gledanja bilo čega.

to offer us a new way of looking at almost anything.

Even something as mysterious as love.

Čak i nečega misterioznog poput ljubavi.

And so, to try to persuade you

Stoga, kako bih vas uvjerila

of how totally amazing, excellent and relevant mathematics is,

da je matematika potpuno divna, odlična i relevantna.

I want to give you my top three mathematically verifiable tips for love.

dat ću vam svoja tri glavna matematički provjerljiva savjeta za ljubav.

(Laughter)

Savjet br. 1:

OK, so Top Tip #1:

Kako uspješno pronaći ljubav na internetu.

How to win at online dating.

So my favorite online dating website is OkCupid,

OkCupid mi je najdraža internetska stranica za traženje partnera,

not least because it was started by a group of mathematicians.

i to ne samo zato što ju je pokrenula skupina matematičara.

Now, because they're mathematicians,

Budući da su matematičari,

they have been collecting data

gotovo deset godina

on everybody who uses their site for almost a decade.

prikupljaju podatke o svima koji koriste njihovu stranicu.

Nastoje pronaći uzorke

And they've been trying to search for patterns

in the way that we talk about ourselves

u načinu na koji govorimo o sebi

and the way that we interact with each other

i na koji komuniciramo jedni s drugima

on an online dating website.

na internetskoj stranici za traženje partnera.

And they've come up with some seriously interesting findings.

I otkrili su neke stvarno zanimljive stvari.

But my particular favorite

Meni je najdraže

is that it turns out that on an online dating website,

to što se pokazalo da na stranicama za traženje partnera

how attractive you are does not dictate how popular you are,

vaša popularnost ne ovisi o tome koliko ste privlačni

and actually, having people think that you're ugly

i zapravo, ako ljudi misle da ste ružni,

can work to your advantage.

to vam može ići u prilog.

(Laughter)

Let me show you how this works.

Pokazat ću vam kako to funkcionira.

In a thankfully voluntary section of OkCupid,

U nasreću neobveznom dijelu OkCupida

you are allowed to rate how attractive you think people are

možete ocijeniti koliko ljude smatrate privlačnima,

on a scale between one and five.

ocjenama od 1 do 5.

Now, if we compare this score, the average score,

Ako ovaj prosječan rezultat usporedimo

to how many messages a selection of people receive,

s brojem poruka koje primaju određeni ljudi,

you can begin to get a sense

možete pomalo vidjeti

of how attractiveness links to popularity on an online dating website.

kakav je odnos privlačnosti i popularnosti na stranicama za traženje partnera.

Ovaj su graf izradili dečki s OkCupida.

This is the graph the OkCupid guys have come up with.

And the important thing to notice is that it's not totally true

Važno je primijetiti da nije potpuno istina

that the more attractive you are, the more messages you get.

da ćete dobiti više poruka ako ste privlačniji.

But the question arises then of what is it about people up here

Ali postavlja se pitanje po čemu su to ljudi ovdje gore

toliko popularniji od ljudi ovdje dolje,

who are so much more popular than people down here,

even though they have the same score of attractiveness?

iako imaju jednaku ocjenu privlačnosti?

And the reason why is that it's not just straightforward looks that are important.

Razlog je taj što nije bitan samo izgled.

So let me try to illustrate their findings with an example.

Dat ću vam primjer za ilustraciju onoga što su otkrili.

So if you take someone like Portia de Rossi, for example,

Netko poput Portije de Rossi, na primjer.

everybody agrees that Portia de Rossi is a very beautiful woman.

Svi se slažu da je Portia de Rossi vrlo zgodna žena.

Nobody thinks that she's ugly, but she's not a supermodel, either.

Nitko ne misli da je ružna, ali nije ni supermodel.

If you compare Portia de Rossi to someone like Sarah Jessica Parker,

Ako usporedite Portiju de Rossi s nekime poput Sarah Jessice Parker,

now, a lot of people, myself included, I should say,

mnogi ljudi, pa, moram priznati, i ja,

misle da je Sarah Jessica Parker stvarno fantastična

think that Sarah Jessica Parker is seriously fabulous

and possibly one of the most beautiful creatures

i možda jedno od najljepših bića

to have ever have walked on the face of the Earth.

koja su ikad hodala Zemljom.

But some other people, i.e., most of the Internet ...

Ali čini se da neki drugi ljudi, recimo većina ljudi na internetu,

(Laughter)

misle da malo naliči konju. (Smijeh)

seem to think that she looks a bit like a horse.

(Laughter)

Now, I think that if you ask people how attractive they thought

Mislim da, kad biste pitali ljude za njihovo mišljenje o privlačnosti

Jessica Parker or Portia de Rossi were,

Sarah Jessice Parker i Portije de Rossi

and you ask them to give them a score between one and five

i kad biste tražili da ih ocijene od 1 do 5,

I reckon that they'd average out to have roughly the same score.

mislim da bi u prosjeku imale otprilike jednak rezultat.

But the way that people would vote would be very different.

Ali ljudi bi glasali na vrlo različite načine.

Portijine bi ocjene uglavnom bile oko 4

So Portia's scores would all be clustered around the four

jer se svi slažu da je prekrasna,

because everybody agrees that she's very beautiful,

dok se za Sarah Jessicu Parker mišljenja potpuno razlikuju.

whereas Sarah Jessica Parker completely divides opinion.

Imala bi vrlo raznolike ocjene.

There'd be a huge spread in her scores.

And actually it's this spread that counts.

I upravo je ta raznolikost bitna.

It's this spread that makes you more popular

Zbog te ste raznolikosti popularniji

on an online Internet dating website.

na stranicama za traženje partnera.

So what that means then

To, dakle, znači

is that if some people think that you're attractive,

da, ako neki ljudi misle da ste privlačni,

you're actually better off

zapravo je za vas bolje

having some other people think that you're a massive minger.

da neki drugi ljudi misle da ste rugoba.

That's much better than everybody just thinking

To je mnogo bolje nego da svi misle

that you're the cute girl next door.

da ste slatka djevojka iz susjedstva.

Mislim da to ima malo više smisla

Now, I think this begins to make a bit more sense

when you think in terms of the people who are sending these messages.

ako razmišljate kao ljudi koji šalju te poruke.

So let's say that you think somebody's attractive,

Recimo da vam je netko privlačan,

ali mislite da drugi ljudi neće nužno biti toliko zainteresirani.

but you suspect that other people won't necessarily be that interested.

To znači da imate manje konkurencije

That means there's less competition for you

and it's an extra incentive for you to get in touch.

i to vam je dodatan poticaj da stupite u kontakt s tom osobom.

S druge strane, netko vam je privlačan,

Whereas compare that to if you think somebody is attractive

ali mislite da će ta osoba biti privlačna i svima drugima.

but you suspect that everybody is going to think they're attractive.

Well, why would you bother humiliating yourself, let's be honest?

Budimo iskreni, zašto biste se ponižavali?

Dolazimo do stvarno zanimljivog dijela.

But here's where the really interesting part comes.

Kad ljudi biraju fotografije koje koriste na stranicama za traženje partnera,

Because when people choose the pictures that they use on an online dating website,

they often try to minimize the things

često nastoje pokazati što manje stvari

that they think some people will find unattractive.

za koje misle da će nekima biti neprivlačne.

The classic example is people who are, perhaps, a little bit overweight

Tipičan su primjer ljudi koji su možda malo pretili

deliberately choosing a very cropped photo,

i koji namjerno biraju vrlo odrezane fotografije.

(Laughter)

Ili ćelavi muškarci

or bald men, for example,

deliberately choosing pictures where they're wearing hats.

koji namjerno biraju fotografije na kojima nose kapu.

But actually this is the opposite of what you should do

Ali, ako želite postići uspjeh, trebalo bi raditi

if you want to be successful.

upravo suprotno od toga.

You should really, instead,

Zapravo biste trebali igrati na ono što vas čini drugačijim,

play up to whatever it is that makes you different,

even if you think that some people will find it unattractive.

čak i ako mislite da nekima to neće biti privlačno.

Because the people who fancy you are just going to fancy you anyway,

Ljudima kojima se sviđate sviđat ćete se ionako,

and the unimportant losers who don't, well, they only play up to your advantage.

a oni nebitni kojima se ne sviđate samo vam idu u korist.

OK, Top Tip #2: How to pick the perfect partner.

U redu, savjet br. 2: Kako izabrati savršenog partnera.

So let's imagine then that you're a roaring success

Zamislimo da ste vrlo popularni

on the dating scene.

u svijetu traženja partnera.

But the question arises of how do you then convert that success

Ali postavlja se pitanje kako taj uspjeh pretvoriti

into longer-term happiness,

u dugoročnu sreću i, konkretno,

and in particular, how do you decide when is the right time to settle down?

kako odlučiti kad je pravo vrijeme za skrasiti se?

Now generally, it's not advisable to just cash in

Općenito se ne preporuča odmah se povući

and marry the first person who comes along and shows you any interest at all.

i vjenčati se s prvom osobom koja naiđe

i pokaže interes za vas.

But, equally, you don't really want to leave it too long

Ali isto tako ne biste trebali ni predugo čekati

if you want to maximize your chance of long-term happiness.

ako želite povećati svoje izglede za dugoročnu sreću.

As my favorite author, Jane Austen, puts it,

Riječima Jane Austen, moje najdraže spisateljice,

"An unmarried woman of seven and twenty

„Neudana žena od 27 godina uopće se

can never hope to feel or inspire affection again."

ne može nadati da će ponovno osjetiti ljubav niti nadahnuti koga ljubavlju.”

(Laughter)

(Smijeh)

Baš ti hvala, Jane. Što ti znaš o ljubavi?

Thanks a lot, Jane.

What do you know about love?

(Laughter)

So the question is then,

Stoga je pitanje

how do you know when is the right time to settle down,

kako znati kad je pravo vrijeme da se skrasite,

s obzirom na sve ljude s kojima možete izlaziti u životu?

given all the people that you can date in your lifetime?

Nasreću, za pomoć se možemo poslužiti krasnim dijelom matematike:

Thankfully, there's a rather delicious bit of mathematics that we can use

to help us out here, called optimal stopping theory.

teorijom optimalnog zaustavljanja.

Zamislimo

So let's imagine, then,

da počnete izlaziti s 15 godina

that you start dating when you're 15

and ideally, you'd like to be married by the time that you're 35.

i u idealnom biste slučaju do 35. godine htjeli biti vjenčani.

And there's a number of people

Postoji mnogo ljudi

s kojima biste u životu potencijalno mogli izlaziti

that you could potentially date across your lifetime,

and they'll be at varying levels of goodness.

i ti će vam ljudi više ili manje odgovarati.

Now the rules are that once you cash in and get married,

Pravila su takva da jednom kad se povučete i vjenčate,

you can't look ahead to see what you could have had,

više ne možete gledati što ste mogli imati

and equally, you can't go back and change your mind.

i jednako tako više se ne možete ni predomisliti.

In my experience at least,

Prema mojem iskustvu,

I find that typically people don't much like being recalled

ljudi obično baš i ne vole kad ih se netko sjeti

years after being passed up for somebody else, or that's just me.

godinama nakon što su zamijenjeni nekim drugim. Ili je možda samo meni tako.

So the math says then that what you should do

Matematika kaže

in the first 37 percent of your dating window,

da u prvih 37 % svojeg razdoblja izlaženja

you should just reject everybody as serious marriage potential.

nikoga ne biste trebali smatrati potencijalnim supružnikom.

(Laughter)

(Smijeh)

And then, you should pick the next person that comes along

Zatim biste trebali izabrati sljedeću osobu koja naiđe

that is better than everybody that you've seen before.

i koja je bolja od ikoga koga ste dotad vidjeli.

So here's the example.

Evo primjera.

Now if you do this, it can be mathematically proven, in fact,

Ako to učinite, može se matematički dokazati

that this is the best possible way

da je to najbolji mogući način

of maximizing your chances of finding the perfect partner.

da si povećate izglede za pronalaženje savršenog partnera.

Now unfortunately, I have to tell you that this method does come with some risks.

Nažalost, moram vam reći da ta metoda ima i određene rizike.

For instance, imagine if your perfect partner appeared

Zamislite, ne primjer, da se vaš savršeni partner pojavio

during your first 37 percent.

tijekom vaših prvih 37 % vremena.

Now, unfortunately, you'd have to reject them.

Nažalost, morali biste ga odbiti.

(Laughter)

(Smijeh)

Ako pratite ovu matematiku,

Now, if you're following the maths,

bojim se da neće naići nitko drugi

I'm afraid no one else comes along

that's better than anyone you've seen before,

tko bi bio bolji od bilo koga koga ste vidjeli prije

pa ćete i dalje morati odbijati svakoga i umrijeti sami.

so you have to go on rejecting everyone and die alone.

(Laughter)

(Smijeh)

Probably surrounded by cats ...

Vjerojatno okruženi mačkama koje će pojesti vaše ostatke.

(Laughter)

nibbling at your remains.

OK, another risk is, let's imagine, instead,

U redu, a drugi je rizik, zamislimo radije

that the first people that you dated in your first 37 percent

da su prvi ljudi s kojima ste izlazili u svojih prvih 37 % vremena

are just incredibly dull, boring, terrible people.

nevjerojatno bezvezni, dosadni i užasni.

That's OK, because you're in your rejection phase,

To je u redu jer ste u fazi odbijanja

so that's fine, you can reject them.

i možete ih odbiti bez problema.

But then imagine the next person to come along

Ali zamislite da je iduća osoba koja naiđe

is just marginally less boring, dull and terrible ...

tek malo manje bezvezna, dosadna i užasna

(Laughter)

than everybody that you've seen before.

od svih koje ste dotad vidjeli.

Now, if you are following the maths, I'm afraid you have to marry them ...

Ako pratite ovu matematiku, bojim se da ćete se morati vjenčati s tom osobom

(Laughter)

i završit ćete u vezi koja nije optimalna.

and end up in a relationship which is, frankly, suboptimal.

Sorry about that.

Žao mi je.

But I do think that there's an opportunity here for Hallmark to cash in on

Ali mislim da se proizvođačima čestitaka

tu javlja tržište i prilika za zaradu.

and really cater for this market.

A Valentine's Day card like this.

Na ovakvim čestitkama za Valentinovo (Smijeh)

(Laughter)

„Dragi mužu, malo si manje užasan

"My darling husband, you are marginally less terrible

than the first 37 percent of people I dated."

od prvih 37 % ljudi s kojima sam izlazila.”

(Laughter)

To je zapravo romantičnije nego što ja obično zvučim.

It's actually more romantic than I normally manage.

(Laughter)

OK, so this method doesn't give you a 100 percent success rate,

Znači, ovom metodom ne postiže se stopostotni uspjeh,

but there's no other possible strategy that can do any better.

ali nema druge bolje strategije.

And actually, in the wild, there are certain types of fish

U divljini zapravo postoje vrste riba

which follow and employ this exact strategy.

koje primjenjuju upravo tu strategiju.

So they reject every possible suitor that turns up

Odbijaju svakog udvarača koji se pojavi

in the first 37 percent of the mating season,

u prvih 37 % sezone parenja,

and then they pick the next fish that comes along after that window

a zatim izaberu sljedeću ribu koja naiđe nakon toga

that's, I don't know, bigger and burlier

i koja je, ne znam, veća i snažnija

than all of the fish that they've seen before.

od svih riba koje su dotad vidjele.

I also think that subconsciously, humans, we do sort of do this anyway.

Mislim da mi ljudi to podsvjesno ionako radimo.

We give ourselves a little bit of time to play the field,

Dajemo si malo vremena da izlazimo s više ljudi

get a feel for the marketplace or whatever when we're young.

i pogledamo što se nudi dok smo mladi.

And then we only start looking seriously at potential marriage candidates

Zatim kandidate za brak počnemo ozbiljno tražiti

once we hit our mid-to-late 20s.

tek kad dođemo u srednje ili kasne 20-e.

I think this is conclusive proof, if ever it were needed,

Mislim da je to jasan dokaz, ako je uopće bio potreban,

da je svačiji mozak barem malo matematički nastrojen.

that everybody's brains are prewired to be just a little bit mathematical.

OK, so that was Top Tip #2.

Dakle to je bio savjet br. 2.

Now, Top Tip #3: How to avoid divorce.

Evo savjeta br. 3: Kako izbjeći razvod.

Zamislimo da ste izabrali savršenog partnera

OK, so let's imagine then that you picked your perfect partner

i s njim ili njom krećete u doživotnu vezu.

and you're settling into a lifelong relationship with them.

Now, I like to think that everybody would ideally like to avoid divorce,

Volim misliti da se, u idealnom slučaju, nitko ne želi razvesti,

apart from, I don't know, Piers Morgan's wife, maybe?

osim, ne znam, možda supruge Piersa Morgana?

(Laughter)

But it's a sad fact of modern life

Ali tužna je činjenica modernog doba

that one in two marriages in the States ends in divorce,

da pola brakova u SAD-u završi razvodom,

with the rest of the world not being far behind.

a ni ostatak svijeta ne zaostaje mnogo.

Now, you can be forgiven, perhaps

Možda bi vam se moglo oprostiti

for thinking that the arguments that precede a marital breakup

ako mislite da svađe koje prethode raskidu braka

are not an ideal candidate for mathematical investigation.

nisu idealan kandidat za matematička istraživanja.

Ako ništa drugo, vrlo je teško znati

For one thing, it's very hard to know

što bi trebalo mjeriti ili što bi trebalo brojiti.

what you should be measuring or what you should be quantifying.

Ali to nije spriječilo psihologa Johna Gottmana da učini upravo to.

But this didn't stop a psychologist, John Gottman, who did exactly that.

Gottman observed hundreds of couples having a conversation

Gottman je promatrao stotine parova koji su razgovarali

and recorded, well, everything you can think of.

i bilježio sve što možete zamisliti.

So he recorded what was said in the conversation,

Bilježio je što je rečeno u razgovoru,

he recorded their skin conductivity,

vodljivost kože,

he recorded their facial expressions,

izraze lica,

their heart rates, their blood pressure,

brzine otkucaja srca, tlak,

basically everything apart from whether or not the wife was actually always right,

sve osim toga je li supruga stvarno uvijek u pravu ili nije,

which incidentally she totally is.

a, inače, naravno da jest.

But what Gottman and his team found

Ali Gottman i njegov tim otkrili su

was that one of the most important predictors

da je jedan od najvažnijih faktora

toga hoće li se ili neće određeni par razvesti

for whether or not a couple is going to get divorced

bio to koliko je svaki partner bio pozitivan ili negativan tijekom razgovora.

was how positive or negative each partner was being in the conversation.

Now, couples that were very low-risk

Parovi koji su bili izloženi malom riziku

scored a lot more positive points on Gottman's scale than negative.

imali su mnogo više pozitivnih nego negativnih bodova na Gottmanovoj ljestvici.

Whereas bad relationships,

S druge strane, u lošim vezama,

by which I mean, probably going to get divorced,

odnosno onima koje će vjerojatno završiti razvodom,

partneri su bili vrlo negativni.

they found themselves getting into a spiral of negativity.

Now just by using these very simple ideas,

Samo na temelju tih vrlo jednostavnih pretpostavki

Gottman and his group were able to predict

Gottman i njegov tim uspjeli su predvidjeti

whether a given couple was going to get divorced

hoće li se određeni par razvesti,

with a 90 percent accuracy.

i to s točnošću predviđanja od 90 %.

Ali tek kad je počeo raditi zajedno s matematičarom Jamesom Murrayjem

But it wasn't until he teamed up with a mathematician, James Murray,

that they really started to understand

počeli su stvarno shvaćati

what causes these negativity spirals and how they occur.

što uzrokuje tu negativnost i kako do nje dolazi.

And the results that they found,

Mislim da su njihovi rezultati

I think, are just incredibly impressively simple and interesting.

nevjerojatno i impresivno jednostavni i zanimljivi.

So these equations predict how the wife or husband is going to respond

Ovim se jednadžbama predviđa kako će žena ili muž reagirati

in their next turn of the conversation,

kad na njih dođe red u razgovoru,

koliko će biti pozitivni ili negativni.

how positive or negative they're going to be.

And these equations depend on

Te jednadžbe ovise

o raspoloženju osobe kad je sama,

the mood of the person when they're on their own,

the mood of the person when they're with their partner,

o raspoloženju osobe kad je s partnerom,

ali najviše ovise

but most importantly, they depend on

how much the husband and wife influence one another.

o tome koliko muž i žena utječu jedno na drugo.

Mislim da je u ovoj fazi važno istaknuti

Now, I think it's important to point out at this stage,

that these exact equations have also been shown

da se upravo ovim jednadžbama

savršeno može opisati

to be perfectly able at describing

what happens between two countries in an arms race.

i što se događa kad se dvije zemlje utrkuju u naoružanju.

(Smijeh)

(Laughter)

So that an arguing couple spiraling into negativity

Par koji se svađa, dakle, postaje sve negativniji

and teetering on the brink of divorce

i visi na rubu razvoda --

is actually mathematically equivalent to the beginning of a nuclear war.

matematički je to jednako početku nuklearnog rata.

(Laughter)

(Smijeh)

Ali zaista bitan faktor u ovoj jednadži

But the really important term in this equation

is the influence that people have on one another,

jest utjecaj koji ljudi imaju jedni na druge,

and in particular, something called "the negativity threshold."

a posebno nešto što se zove prag negativnosti.

Prag negativnosti jest mjera

Now, the negativity threshold,

you can think of as how annoying the husband can be

koliko muž može biti iritantan

before the wife starts to get really pissed off, and vice versa.

prije nego se žena stvarno naljuti, i obratno.

Now, I always thought that good marriages were about compromise and understanding

Oduvijek sam mislila da su dobri brakovi puni kompromisa i razumijevanja

and allowing the person to have the space to be themselves.

i da svatko ima prostora da bude kakav stvarno jest.

So I would have thought that perhaps the most successful relationships

Pretpostavila bih možda da su najuspješnije veze

were ones where there was a really high negativity threshold.

one u kojima postoji vrlo visok prag negativnosti.

Where couples let things go

U kojima se parovi ne svađaju oko svega

and only brought things up if they really were a big deal.

i započinju raspravu samo ako je stvar zaista bitna.

But actually, the mathematics and subsequent findings by the team

No, matematika i kasniji rezultati do kojih je tim došao

have shown the exact opposite is true.

pokazali su da je istina baš suprotna.

The best couples, or the most successful couples,

Najbolji, najuspješniji parovi

oni su koji imaju zaista nizak prag negativnosti.

are the ones with a really low negativity threshold.

These are the couples that don't let anything go unnoticed

To su parovi kod kojih ništa ne prolazi nezamijećeno

and allow each other some room to complain.

i koji se mogu jedno drugome žaliti.

These are the couples that are continually trying to repair their own relationship,

To su parovi koji neprestano nastoje popraviti svoju vezu,

that have a much more positive outlook on their marriage.

koji imaju mnogo pozitivniju sliku o svojem braku.

Couples that don't let things go

Parovi koji ne zanemaruju neslaganja

and couples that don't let trivial things end up being a really big deal.

i parovi koji ne dopuštaju da se sitnice prenapušu.

Now of course, it takes a bit more than just a low negativity threshold

Naravno da nizak prag negativnosti

and not compromising to have a successful relationship.

i neprihvaćanje kompromisa nisu dovoljni za uspješnu vezu.

But I think that it's quite interesting

Ali mislim da je vrlo zanimljivo

to know that there is really mathematical evidence

znati da zaista postoji matematički dokaz

to say that you should never let the sun go down on your anger.

da nikad ne smijete ostati ljuti preko noći.

So those are my top three tips

Eto, to su moja tri glavna savjeta

of how maths can help you with love and relationships.

o tome kako vam matematika može pomoći u ljubavi i vezama.

But I hope, that aside from their use as tips,

Ali nadam se da će, osim kao savjeti,

they also give you a little bit of insight into the power of mathematics.

poslužiti i da vam malo prikažu moć matematike.

Because for me, equations and symbols aren't just a thing.

Meni jednadže i simboli nisu samo stvari.

They're a voice that speaks out about the incredible richness of nature

Oni su glas koji govori o nevjerojatnom bogatstvu prirode

and the startling simplicity

i zadivljujućoj jednostavnosti

in the patterns that twist and turn and warp and evolve all around us,

uzoraka koji se uvijaju, okreću, izvrću i razvijaju svuda oko nas,

from how the world works to how we behave.

od načina na koji svijet funkcionira do načina na koji se ponašamo.

So I hope that perhaps, for just a couple of you,

Nadam se da će barem nekoliko vas

a little bit of insight into the mathematics of love

malo uvida u matematiku ljubavi

potaknuti da pokažete malo više ljubavi za matematiku.

can persuade you to have a little bit more love for mathematics.

Thank you.

Hvala.

(Applause)

(Pljesak)