Editing 602: Overstimulated
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==Explanation== | ==Explanation== | ||
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After being cooped up working on papers, [[Cueball]] goes to a party, only to find himself tuning out the gossip of his friends in order to work on math problems in his head. He writes down the prime numbers on cards, and then stretches them out such that the area of the card is the same (say, 1), but one of the sides has been elongated to a length equal to the number on the card. This reduces the length on the other dimension to the reciprocal of the number on the card (i.e. 1/''n'', with ''n'' being the number on the card), according to the area formula for rectangles. | After being cooped up working on papers, [[Cueball]] goes to a party, only to find himself tuning out the gossip of his friends in order to work on math problems in his head. He writes down the prime numbers on cards, and then stretches them out such that the area of the card is the same (say, 1), but one of the sides has been elongated to a length equal to the number on the card. This reduces the length on the other dimension to the reciprocal of the number on the card (i.e. 1/''n'', with ''n'' being the number on the card), according to the area formula for rectangles. | ||
− | Stacking these reciprocals all up will eventually diverge, meaning the sum will be infinite without ever leveling off. This is referred to as the {{w|divergence of the sum of the reciprocals of the primes}}, and was proven by {{w|Euler}} in 1737. | + | Stacking these reciprocals all up will eventually diverge, meaning the sum will be infinite without ever leveling off. This is unimaginatively referred to as the {{w|divergence of the sum of the reciprocals of the primes}}, and was proven by {{w|Euler}} in 1737. |
− | [http://aq.server8.org/ The Cambridge Aspergers Test] includes questions on preferences for, and ability to cope with, social situations. It also asks the person taking the test if they have an affinity for numbers and see patterns in every day objects. Cueball | + | [http://aq.server8.org/ The Cambridge Aspergers Test] includes questions on preferences for, and ability to cope with, social situations. It also asks the person taking the test if they have an affinity for numbers and see patterns in every day objects. Cueball would score high on the Asperger's scale — or he could just be introverted. Thinking about things on one's own is often relaxing for an introvert, while hanging out with other people is not. Hence the irony of the comment in the last panel. Cueball's friends fail to realize that hanging out with them is actually more stressful for him than doing math. |
− | The title text mentions people that talk negatively about people that aren't there. A much later comic; [[1176: Those Not Present]], is about just that. | + | The title text mentions people that talk negatively about people that aren't there, which isn't uncommon. A much later comic; [[1176: Those Not Present]], is about just that. |
==Transcript== | ==Transcript== | ||
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:[Cueball is cringing away from all the text; none of the text is attributed to specific people.] | :[Cueball is cringing away from all the text; none of the text is attributed to specific people.] | ||
:Somebody: It's so lame how she hangs around him even when he's not single: | :Somebody: It's so lame how she hangs around him even when he's not single: | ||
− | :Somebody: | + | :Somebody: HE LIKES IT. |
− | :Somebody: | + | :Somebody: SOMEONE SERIOUSLY NEEDS TO DATE HER. |
− | :Somebody: | + | :Somebody: TOTALLY. |
:Somebody: And honestly I feel like a jerk but I wouldn't mind if she hung around with us a little less. She needs other friends, you know! | :Somebody: And honestly I feel like a jerk but I wouldn't mind if she hung around with us a little less. She needs other friends, you know! | ||
:[Cueball peels a hole in the panel. The numbers '1', '2', and '3' are visible through the gap.] | :[Cueball peels a hole in the panel. The numbers '1', '2', and '3' are visible through the gap.] | ||
− | :Somebody: | + | :Somebody: HAVE YOU NOTICED HOW EVERY DUDE SHE DATES IS A TOTAL DRUGGIE? |
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:Somebody: I'm glad I'm not the only one who thought that was weird. | :Somebody: I'm glad I'm not the only one who thought that was weird. | ||
:Somebody: Michelle dates potheads like Elaine but at least they both have real jobs. | :Somebody: Michelle dates potheads like Elaine but at least they both have real jobs. | ||
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:1 2 3 4 5 6 7 8 9 10 11 12 | :1 2 3 4 5 6 7 8 9 10 11 12 | ||
− | + | :[The man starts taking down the prime numbers.] | |
− | + | :1 4 6 8 9 10 12 14 15 2 3 5 7 11 13 | |
− | + | :[The man grabs and squeezes the 2, so it is half as wide and twice as tall.] | |
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− | :[ | ||
− | :1 4 6 8 9 10 12 14 15 | ||
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− | :[ | ||
− | :[A formula: | + | :[A formula: \Sum_{i=1}^{\infty}{1 P_i} = h] |
− | :[The panel shows a 2 that is 2 units tall and 1 | + | ::[ie. The sum from 1 to infinity of the inverse of each prime.] |
+ | :[The panel shows a 2 that is 2 units tall and 1 2 wide, a 3 that is 3 units tall and 1 3 wide, and so on. Cueball is moving the 7.] | ||
− | :[Cueball writes h = | + | :[Cueball writes h = infinity. The numbers are piled on their side next to a scale.] |
:Voice: Don't you agree? | :Voice: Don't you agree? | ||
:Voice: Hey, wake up. | :Voice: Hey, wake up. | ||
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[[Category:Comics featuring Megan]] | [[Category:Comics featuring Megan]] | ||
[[Category:Comics featuring Ponytail]] | [[Category:Comics featuring Ponytail]] | ||
− | [[Category: | + | [[Category:Math]] |
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