Xkcd dating age equation

Sure, you could then also say that the cast being constant is an assumption of the graph, but that's not really accurate either.

The graph simply doesn't observe the passage of time. You'd have to add a time axis for that, making the graph three-dimensional. I think a better way to explain the gay pairing equation would be to look at it like this: Then substract x n-x which is the equation for all straight pairings. Hope I'm editing correctly.

It actually comes out that if each individual's gender is chosen randomly, the expected value for straight casts and for gay casts is the same not too hard to prove via induction. It's 'cause you're dumb. Real-life prospective-pairing curves over things like age can get depressing. Explanation [ edit ] The equations in the comic and the graph show how many different love pairs can be made if you know the number of females and males in a group.


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Formulas [ edit ] The formulas may be derived as follows: Equations and links to wolfram-alpha [ edit ] Formula for Gay pairing: Assumptions [ edit ] The chart and the calculations assume that: No one is bisexual, asexual, polyamorous, celibate, or of some other sexuality. All genders are constant. Everyone is available, and gender is the only criterion for determining if a hook-up is possible. Number of male or female cast members.

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Each of the above equations forms a curve. The two curves intersect at two points close to the middle. Consider a cast of 4 with 2 male A, B and 2 female C, D. Possible gay pairings - 2 A-B and C-D.


For cast members, with of each gender, the gay couplings comes out at , and straight at 1,, Presumably this is the small cross over the diagram alludes to. I wonder where exactly that small crossover region should be.

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Hm, he said for large casts, so I suppose Randall's making approximations based on the limit. But can we calculate an exact trend? Also, that can't possibly be right because it would give a negative answer but whatever, it's late, I think I did the approximated math right so that's good enough Hope I'm editing correctly It actually comes out that if each individual's gender is chosen randomly, the expected value for straight casts and for gay casts is the same not too hard to prove via induction.

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Dating Pools - explain xkcd

From another point of view, the chart can be interpreted as saying that there should not be an age disparity of as much as five years unless the younger person has an age of 19 or more, a ten-year disparity should exist only if the younger person has an age of 24 or more, and a twenty-year disparity should occur only if the younger person has an age of 34 or more. And people only slightly older than 14 should only be involved with those almost exactly the same age as themselves. To read the chart, go to the position along the x-axis which corresponds to your age, and the green range between the black and red lines directly above that position corresponds to the range of your partner's ages which is deemed acceptable by the rule.

The area between the blue and red lines shows where you are the older partner in the half-age-plus-seven calculation, while the area between the black and blue lines shows where you are the younger partner. Hugh Herbert , it's stated or implied that at the beginning of a relationship or marriage, the woman's age "is supposed to be half the man's age, plus seven", which gives a different asymmetrical interpretation to the rule.

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Similarly, in his autobiography, George Arnold Escher , father of famous artist M. Escher claimed that when he was looking for a wife ca.

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Age dating formula xkcd

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