Mathematical Mysteries

image screencap from CBS.com

It’s always fun when things you like intersect, especially when math is involved! One of my favorite shows is CBS’s Elementary, so I was very excited when earlier this month there was a math-themed episode. In the second episode of Season 2, “Solve for X,” we see series regulars Sherlock and Joan investigating the death of a mathematician. As the mystery progresses, they realize that the murder victim was working on the famous P vs. NP problem, and may have been killed by a rival interested in claiming the Millenium Prize associated with finding the solution.

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Joint Math Meetings – Baltimore

JMMMD2014-web-headerDo you plan to attend the Joint Math Meetings (JMM) in Baltimore, MD? The meeting is the largest math meeting in the world and will take place from January 15 – 18, 2014 (Wednesday – Saturday). The complete program is available here. You can also follow the Twitter feed at https://twitter.com/jointmath. The official hashtag is #JMM14.

If you are planning to attend, what are you most excited about?

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Splitting Apartment Rent – A Case of Fair Division

rent balancePaying rent – it’s an annoyance that many of us have to deal with on a regular basis. But, it’s also a source of interesting mathematics. Splitting rent in an equitable way is a classic problem in fair division, one which I’ve posed to my own students in the following manner:

Suppose that three people are renting a house together and they want to fairly split the rent.  The house has one master bedroom and two (equally sized) smaller bedrooms.  The person who takes the master bedroom will have their own bathroom, while the other two will have to share a bathroom.  How can these three people equally split the rent?

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Numerosity – Sixth Sense?

A study that appeared in Science magazine on Sept 6, 2013 entitled Topographic Representation of Numerosity in the Human Parietal Cortex discusses the possibility that the ability to understand the quantity of a small group of visual objects without counting is an additional sense. The article was written by B. M. Harvey, B. P. Klein, N. Petridou, S. O. Dumoulin and its abstract reads:

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Are you good at asking questions?

question_head_md_whtOne might think that asking a question is very trivial; in mathematics, maybe in early years of learning, asking what 1+1 is might be very innocent, until to later realize that the answer can be complicated. After years of mathematical training, some students seem to get so used to be assigned exercises that they may think that asking questions (and solving them) probably is the easiest skills they need to acquire during their training. Nevertheless, Georg Cantor seems to hold a different opinion about questions; indeed, he claimed, “In mathematics, the art of proposing a question must be held of higher value than solving it.” What could be involved in asking a question that makes it so important, according to Cantor?

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