0216: "Romantic Drama Equation"

This forum is for the individual discussion thread that goes with each new comic.

Moderators: Moderators General, Prelates, Magistrates

EarlGreenleaf
Posts: 1
Joined: Fri Feb 08, 2013 1:42 am UTC

Re: 0216: "Romantic Drama Equation"

Postby EarlGreenleaf » Fri Feb 08, 2013 2:14 am UTC

I took physics in High School 10 years ago so I will leave the math to you, but the gay line seems all wrong to me.

Here is why:
100 men all gay = 50 gay pairings
100 women all gay = 50 gay pairings
50/50 men and women = 50 gay pairings (25 of each).

Doesn't that mean the gay line should be straight?
Also, does that mean that an all gay world is the most optimal world for pairings no matter the numbers?

User avatar
phlip
Restorer of Worlds
Posts: 7573
Joined: Sat Sep 23, 2006 3:56 am UTC
Location: Australia
Contact:

Re: 0216: "Romantic Drama Equation"

Postby phlip » Fri Feb 08, 2013 6:26 am UTC

The equations in the comic aren't for non-overlapping simultaneous pairings, but total number of potential pairings between anyone.

Say, if there are 6 people, all the same gender (call them A, B, C, D, E, F), then there are 15 different pairings (AB, AC, AD, AE, AF, BC, BD, BE, BF, CD, CE, CF, DE, DF, EF).
On the other hand, if there are 6 people, 3 male 3 female (call them A, B, C, 1, 2, 3) then there are 6 gay pairings (AB, AC, BC, 12, 13, 23) and 9 straight pairings (A1, A2, A3, B1, B2, B3, C1, C2, C3).

At the 50/50 mark, the "straight" curve is slightly higher than the "gay" curve, though that difference goes down as the population gets larger (in the limit, with an infinite population, there would be no difference, and the two curves would be tangential at the 50/50 mark).

Code: Select all

enum ಠ_ಠ {°□°╰=1, °Д°╰, ಠ益ಠ╰};
void ┻━┻︵​╰(ಠ_ಠ ⚠) {exit((int)⚠);}
[he/him/his]

User avatar
Klear
Posts: 1965
Joined: Sun Jun 13, 2010 8:43 am UTC
Location: Prague

Re: 0216: "Romantic Drama Equation"

Postby Klear » Fri Feb 08, 2013 10:09 am UTC

EarlGreenleaf wrote:Also, does that mean that an all gay world is the most optimal world for pairings no matter the numbers?


Of course not. All bi world is the way to go...

User avatar
Pfhorrest
Posts: 5480
Joined: Fri Oct 30, 2009 6:11 am UTC
Contact:

Re: 0216: "Romantic Drama Equation"

Postby Pfhorrest » Fri Feb 08, 2013 9:32 pm UTC

Klear wrote:
EarlGreenleaf wrote:Also, does that mean that an all gay world is the most optimal world for pairings no matter the numbers?


Of course not. All bi world is the way to go...

I can get behind that.

Or in front of it. Or atop it, or beneath it, whatever floats its boat...
Forrest Cameranesi, Geek of All Trades
"I am Sam. Sam I am. I do not like trolls, flames, or spam."
The Codex Quaerendae (my philosophy) - The Chronicles of Quelouva (my fiction)

User avatar
addams
Posts: 10331
Joined: Sun Sep 12, 2010 4:44 am UTC
Location: Oregon Coast: 97444

Re: 0216: "Romantic Drama Equation"

Postby addams » Fri Feb 08, 2013 9:56 pm UTC

Pfhorrest wrote:
Klear wrote:
EarlGreenleaf wrote:Also, does that mean that an all gay world is the most optimal world for pairings no matter the numbers?


Of course not. All bi world is the way to go...

I can get behind that.

Or in front of it. Or atop it, or beneath it, whatever floats its boat...

Yes. Without speech; Maybe.
Even in an all Bi, all the time, world.
It is still not easy.

Would it be easier in an all Bi, all the time, world?
I think it is a wonderful idea.
Who told us we were not Bi?
Did you get the memo?

Pansexuals. That is the way to go.
Everything is so sexy.
I want to be that. You?

Of course: Each and everyone of us will be ever so slightly different from all others.
Twins. Even, twins are not the same. Close. Yet, different.
Life is, just, an exchange of electrons; It is up to us to give it meaning.

We are all in The Gutter.
Some of us see The Gutter.
Some of us see The Stars.
by mr. Oscar Wilde.

Those that want to Know; Know.
Those that do not Know; Don't tell them.
They do terrible things to people that Tell Them.

User avatar
Pfhorrest
Posts: 5480
Joined: Fri Oct 30, 2009 6:11 am UTC
Contact:

Re: 0216: "Romantic Drama Equation"

Postby Pfhorrest » Fri Feb 08, 2013 10:13 pm UTC

addams wrote:Pansexuals. That is the way to go.
Everything is so sexy.
I want to be that. You?

Already there, just didn't want to bring go off-tangent from the joke to digress about non-binary genders.
Forrest Cameranesi, Geek of All Trades
"I am Sam. Sam I am. I do not like trolls, flames, or spam."
The Codex Quaerendae (my philosophy) - The Chronicles of Quelouva (my fiction)

User avatar
addams
Posts: 10331
Joined: Sun Sep 12, 2010 4:44 am UTC
Location: Oregon Coast: 97444

Re: 0216: "Romantic Drama Equation"

Postby addams » Sat Feb 09, 2013 12:34 am UTC

Pfhorrest wrote:
addams wrote:Pansexuals. That is the way to go.
Everything is so sexy.
I want to be that. You?

Already there, just didn't want to bring go off-tangent from the joke to digress about non-binary genders.

You can graph non bionarys.
I can't. What would be the point?

He was watching some stupid TV program.
Those people only have one or two ways to be human.
Mean and hetero or Mean and homo. Pfft.

I saw a few moments of the program.
Those people did not write the memo.
Those people are not allowed pen and paper. Right?

Oh, Dear. I was thinking.
It true! I think.
Sexuality and Wonder. Close?

I was so interested in something large.
A large system. I was inside the system.
It was thrilling. Sex? Not really.

I stopped to think. I thought of this thread.
Sex? Not really.
It felt like there was something in the wind.
So exciting. The sea birds were whirling through the air.
White bird against shockingly blue sky.

A lover holds our attention.
Many things hold our attention.

ok. Some people do not notice.
shhh. Don't tell them.
Life is, just, an exchange of electrons; It is up to us to give it meaning.

We are all in The Gutter.
Some of us see The Gutter.
Some of us see The Stars.
by mr. Oscar Wilde.

Those that want to Know; Know.
Those that do not Know; Don't tell them.
They do terrible things to people that Tell Them.

J Thomas
Everyone's a jerk. You. Me. This Jerk.^
Posts: 1190
Joined: Fri Sep 23, 2011 3:18 pm UTC

Re: "Romantic Drama Equation" discussion

Postby J Thomas » Sat Feb 09, 2013 1:28 pm UTC

beard0 wrote:
TonyD wrote:Is it just me or is the equation for straight pairings incorrect?

Nope, not just you. n(n-1) is guaranteed to be even, so dividing by two is possible (and also, for other reasons, correct) x(n-x) has no such guarantee. Take for example the case where there are 2 cast members, one male; There should be 1 pairing possible, not half a pairing.


Do it from scratch.
m = # males
f = # females.

Total pairings = (m+f)*(m+f) - (m+f)
(we remove the cases where individuals are paired with themselves.)

m*m - m + f*f -f + 2 m*f

Every off-diagonal element has been counted twice, and all the diagonal elements have been thrown away.

So it's right. we divide the total n(n-1) by two to get the total number of pairings. And we divide 2x(n-x) by 2 to get the total number of heterosexual pairings.

I'm not clear how to use this, though. Imagine that each person chooses his preference to maximize the number of choices. Say there are 750 actresses and 250 actors. Then the actresses get the most choice by all being lesbians, and once they have chosen that the actors must all be gay too. The actors would be better off to be heterosexual but the actresses don't cooperate. When the numbers are off somebody gets the short end of the stick no matter what.

But as pointed out, if everybody is bisexual then everybody gets 999 chances.

But then you don't need 999 partners. You can get by with one good one.
The Law of Fives is true. I see it everywhere I look for it.

User avatar
Klear
Posts: 1965
Joined: Sun Jun 13, 2010 8:43 am UTC
Location: Prague

Re: "Romantic Drama Equation" discussion

Postby Klear » Sat Feb 09, 2013 3:37 pm UTC

J Thomas wrote:But as pointed out, if everybody is bisexual then everybody gets 999 chances.

But then you don't need 999 partners. You can get by with one good one.


What? Masturbation doesn't count? =P

J Thomas
Everyone's a jerk. You. Me. This Jerk.^
Posts: 1190
Joined: Fri Sep 23, 2011 3:18 pm UTC

Re: "Romantic Drama Equation" discussion

Postby J Thomas » Sat Feb 09, 2013 7:46 pm UTC

Klear wrote:
J Thomas wrote:But as pointed out, if everybody is bisexual then everybody gets 999 chances.

But then you don't need 999 partners. You can get by with one good one.


What? Masturbation doesn't count? =P


Not usually, if the requirement is romantic drama.

Though I guess for drama it might be better to have 3 or more involved. My old geometry teacher said that the triangle is the only stable structure.
The Law of Fives is true. I see it everywhere I look for it.

User avatar
addams
Posts: 10331
Joined: Sun Sep 12, 2010 4:44 am UTC
Location: Oregon Coast: 97444

Re: "Romantic Drama Equation" discussion

Postby addams » Sun Feb 10, 2013 6:21 am UTC

J Thomas wrote:
Klear wrote:
J Thomas wrote:But as pointed out, if everybody is bisexual then everybody gets 999 chances.

But then you don't need 999 partners. You can get by with one good one.


What? Masturbation doesn't count? =P


Not usually, if the requirement is romantic drama.

Though I guess for drama it might be better to have 3 or more involved. My old geometry teacher said that the triangle is the only stable structure.


It might be true. Not that it is the only stable structure. Working together triangles are strong. I don't remember the details.
Do you? Big triangles? Or, Little triangles? Or, those wonderful pyramid shapes. Those are good, too.
Life is, just, an exchange of electrons; It is up to us to give it meaning.

We are all in The Gutter.
Some of us see The Gutter.
Some of us see The Stars.
by mr. Oscar Wilde.

Those that want to Know; Know.
Those that do not Know; Don't tell them.
They do terrible things to people that Tell Them.


Return to “Individual XKCD Comic Threads”

Who is online

Users browsing this forum: No registered users and 111 guests