Playoff Probabilities

Continuing with last week’s theme, and since we are in the midst of playoffs, I’d like to take a moment now to discuss another link between baseball and mathematics.  This link is particularly timely since the scuttlebutt on the internet suggests that next year the playoff rules for baseball will be changed: the number of teams competing for the World Series will increase from 8 to 10, and because of that, another round of playoff games will be introduced.

Currently, the playoffs consist of three rounds.  The first round is the Division Series, in which eight teams compete in a best-of-five match-up (equivalently, a first-to-three match-up, i.e. the first team to win three games wins the series).  The second and third rounds, better known as the Championship Series and World Series, are composed of four and two teams, respectively, but are both best-of-seven (equivalently, first-to-four).  Because of these three rounds . . . → Read More: Playoff Probabilities

Moneyball

This weekend, mathematics played a supporting role to Brad Pitt in one of fall’s first critical darlings, Moneyball. Based on the Michael Lewis book of the same name, the film profiles the Oakland A’s during their 2002 bid for World Series glory.  What allegedly separates their story from the story of other teams during that season is the way General Manager Billy Beane, played by Brad Pitt, deals with the budget constraints imposed on him by the team’s owners.

With a payroll roughly a third the size of the Yankees’, Beane understood that the playing field was not a level one from an economic standpoint.  What’s more, at the end of the 2001 season, three of the A’s star players left Oakland for bigger paychecks.  To fill the void, the film (and book) show how Beane took a more analytic approach, and used statistical analysis . . . → Read More: Moneyball

Wedding Mathematics, Part 3

Today I would like to wrap up my series on mathematics and weddings (a series begun here and continued here) with a little advice for soon-to-be brides and grooms who are looking to integrate some math into their celebrations.  If this describes you, then congratulations – not only on your upcoming nuptials, but also on the classy way you are looking to celebrate them.

For our own wedding, my bride and I decided it would be natural to incorporate some mathematics into the table numbers.  There is some freedom in how one decides to do this.  For example, we initially toyed with the idea of using numbers for the tables that were somehow significant to us and our relationship, but found it too difficult to come up with examples meeting this criterion.  If one wants intrinsically interesting numbers, there are many examples among the whole numbers (I was particularly fond . . . → Read More: Wedding Mathematics, Part 3

Wedding Planning and the Ménage Problem

Last month I wrote a wedding-themed post on some statistics behind the show Four Weddings.  Now, fully refreshed from my own two week honeymoon, I would like to take some time to discuss some other areas of intersection between weddings and mathematics.

One of the things I most looked forward to during the planning of our wedding was the determination of the seating chart.  Searching for an optimal arrangement given peoples’ preferences to sit next to their friends and away from their enemies was a fun little challenge.  In the end, though, perhaps I made things too easy on myself.  Although I assigned people to specific tables, I did not assign seats within the tables themselves.  Instead, people were free to sit however they chose once they found their table.

An example of our seating. Hat tip to Dave Gilbert for the shot!

Were I truly a glutton for . . . → Read More: Wedding Planning and the Ménage Problem

Four Weddings and Some Statistics

When my fiancee was in the midst of the wedding planning, part of her research (or perhaps it was simply a guilty pleasure) involved watching wedding shows on basic cable.  For those of you who have not had the pleasure, between stations like WE tv and TLC, there are no fewer than nine different wedding-themed reality shows airing weekly.  Many of them are appealing in a rubbernecking sort of way; much like a car crash, the spectacle is too ridiculous to turn away from (I’m looking at you, My Big Fat Gypsy Wedding).

Of all of these shows, though, the one that most piques my mathematical interest is TLC’s Four Weddings.  Based on a British show with the same name, the premise is as follows: four brides-to-be, unknown to one another, meet and attend each others’ weddings.  When one bride gets married, the other three score various . . . → Read More: Four Weddings and Some Statistics

Batman Interlude

Hi everyone.  Apologies for flying under the radar lately.  I am getting married soon, and along with life’s usual habit of getting in the way, preparations are surprisingly time consuming.

Having said that, I have a couple of articles in the pipeline specifically addressing the intersection of mathematics and weddings (the intersection is non-empty, I assure you).  In the meantime, if you’re looking for a mathematical fix, you need look no further than this link, which gives an explicit function whose graph bears a striking resemblance to the Batman logo.  Mathematicians who need to contact crime fighters need no longer live in fear.

Na-na-na-na Na-na-na-na MATH GRAPHS!!!!

Want to see your favorite superhero’s logo memorialized in the Cartesian coordinate plane?  Give it a shot!

I’ll be back soon with some more substantial content.  Hat tip to Nate for the link to this crime-reducing function.

. . . → Read More: Batman Interlude

Math Jams

Sorry I’m so late to the party on this one, but I wanted to draw your attention to this NPR article from a couple of months back.  It profiles the “Songwriter in Residence” program at the University of Tennessee’s National Institute for Mathematical and Biological Synthesis (or NIMBioS if you feel like spitting a bunch of letters out of your mouth).  The experimental program hires songwriters for one month stints at the Institute, during which time they work with researchers to develop two songs on current scientific/mathematical research.  Here’s one of the resident’s performing a song on sexual selection:

While combining the arts with the sciences is nothing new, it’s cool to see a program embrace the intersection of these disciplines with such gusto.  Of course, it can be difficult to squeeze educational content out of a song with a science focus, but . . . → Read More: Math Jams

More Shameless Self-Promotion

Hi all.  As a small gift for you going into this weekend, here‘s a link to an article from The Numbers Guy at the Wall Street Journal.  I was one of several people interviewed for my thoughts on the preponderance of math holidays that have been in the news recently.  If you’ve been reading this blog for a while, you will already know my general feelings towards these holidays.  More details, though, can be found here or here.  If you’re curious, you can probably find other articles in which I jump on the soapbox.

I’ll be back next week with something more substantive.  In the meantime, enjoy your weekend, and if you’re in Los Angeles, Happy Carmageddon!