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Science Quiz / Simpson's Mathematics III

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Can you answer the questions about Mathematics topics found in The Simpsons? III

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Episode: IntroAnswerQuestion: Further Info
Marge and Homer Turn a Couple Play
At the ballpark, the Jumbo-Vision asks to guess the attendance through a multiple choice question.		The first answer is A) 8191. That can be written in the form of 2p - 1, where p is a prime number: 213 - 1. What is the name of this special type of Prime Number? (We know of 48 such numbers.)
Marge and Homer Turn a Couple Play
At the ballpark, the Jumbo-Vision asks to guess the attendance through a multiple choice question.		The second answer is B) 8128. The divisors of 8128 (excluding itself) when added together give 8128 as their sum. What special type of number is 8128? (We know of 48 such numbers, these numbers have an interesting relation to the previous numbers.)
Marge and Homer Turn a Couple Play
At the ballpark, the Jumbo-Vision asks to guess the attendance through a multiple choice question.		The third answer is C) 8208. The number is equal to the sum of each of its digits raised to the power of the number of its digits: 8208 = 84 + 24 + 04 + 84. What type of number is this?
Old Yeller Belly
Barry 'Duffman' Duffman is teaching Adult Mathematics at the Springfield Men's Mission.		If you have 6 liters of blood, and your blood is 80% alcohol, how much alcohol do you have? How many liters of alcohol would be in your corpse?
The Front
Bart and Lisa play rock-paper-scissors in order to determine whose name will go first on an Itchy and Scratchy show they co-authored.		When playing RPS, which item is 'thrown down' by most people, especially males? Lisa knows that if she is playing against a novice, she should attack that item, though if playing against against an expert, she would expect another item. She knows Bart is a novice, and makes the winning move.
Postcards from the Wedge
Bart says he would end all life on earth to avoid fractions. Lisa tells him they are easy, you just have a common denominator.		For example, one-half plus one-third equals three (sic) [five-]______. Bart makes an explosion sound, and Lisa tells him he will need fractions to make that bomb. Fill in the blank, completing Lisa's corrected hint.
Dead Putting Society
Homer is in a 'Fraid not!' 'Fraid so!' battle with Ned. Homer tries to end it with 'Fraid not infinity!' 		He is stymied by Ned who retorts, 'Fraid so infinity plus one!' What famous hotel shows that infinity plus one is no larger than infinity?
The Math Club
In 2002 the several Simpson's writers started a Math Club. The first talk was given by writer J. Stewart Burns.		He spoke about an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers invented by John H. Conway in 1969. What are these numbers called?
The Math Club
They often had guest speakers. One such speaker had authored more than two dozen papers with Paul Erdős, and popularized Erdős numbers.		He also is known for using the largest number ever used in a mathematical paper, named after himself. If each digit of the number had the volume of the Planck volume, and 1073 could fit in a hydrogen atom, the entire visible universe would not be large enough to contain the number. Who is this mathematician?
The Math Club
The Twisted World of Marge Simpson
This famous problem was the topic of an episode, and a talk given by writer David S. Cohen, who had studied it at Harvard.		Homer receives a plate of flapjacks in a random size order. Pn is the number of flips required to put them in the correct size order in a worst case scenario. What is the name of this problem, the subject of the only mathematical paper Bill Gates ever published?
The Twisted World of Marge Simpson
Disco Stu points to a chart for the years 1973-1976.		'Did you know that disco record sales were up 400% for the year ending 1976? If these trends continue … aaaaaaay!' What statistical error describes making predictions beyond the domain of the explanatory variable (in this case years).
The PTA Disbands
Lisa attempts to build a perpetual motion machine.		Homer chides, 'Lisa, in this house we OBEY the laws of _____. ' To what laws was Homer referring?
They Saved Lisa's Brain
Stephen Hawking chats with Homer in Moe's.		What shape does Homer conjecture the universe is shaped as? If correct, one could go straight in several directions, and would eventually return to one's starting point. Hawking says he is intrigued, and may have to steal Homer's idea. In actuality, some believe the universe to be so shaped.
HOMR (with backwards R)
Homer uses calculus to prove that God does not exist. Flanders sets the proof on fire.		The scene pays homage to an oft told but probably false story about a famous mathematician who, at the request of Catherine the Great, supposedly confronted Diderot with a phony mathematical proof of the existence of God. Diderot was left speechless. Who was the famous mathematician who supposedly duped Diderot?
How I Learned to Stop Worrying and Love Legalized Gambling
Homer fishes out a pair of glasses Henry Kissinger had dropped in a toilet, and appears to become brilliant.		He says, clearly erroneously: 'The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side.' This is a direct quotation from The Wizard of Oz, showing that maybe brains cannot be conferred, but confidence can be built. What is this conjecture known as?
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