Skip to main content

Cookie Monster Numbers, Journal Reading, and Mini-Blogging


I just spent the last several minute taking it easy at the end of my day reading a little bit about set theory.  It wasn't the dry and/or indecipherable stuff some of you might remember from first grade thanks to the 'new math'.  Nope, this article on set theory was on something called the Cookie Monster Number, the least number of moves that Cookie Monster can take to empty a set of jars of cookies if he can only take the same amount of cookies from every jar on each move.  Since I'm headed off to bed for the night, rather than rehash the subject here, I'll spend competitora little bit of time telling you about where you can read more on the subject.

For a brief intro to the Cookie Monster Number, check out +Richard Green's mini-blog on G+.  Specifically, you'll want the post on Cookie Monster[1].  For those reading this on my blog as opposed to G+, the Facebook competitor from Google has actually become quite the mini-blogging site for scientists of all flavors.  For a quick sampling of what's available you can check out the circle of folks that follow Richard Greens math posts[6].  While it's becoming more diverse all the time, the circle still contains a large number of very interesting science writers and readers for that matter.

If you'd like to delve even further into the Cookie Monster Number, you can check out the article I was reading[2] tonight in the College Mathematics Journal from the +Mathematical Association of America.

The journals from the MAA are all my current favorites.  When I entered physics as an undergraduate, I was immediately advised to read journals in my field even if I didn't understand them at first.  No offense to the +American Physical Society, but try as I might, I got nothing from Physical Review A-D and Letters until I was a grad. student. Now that I have the background, I'm of course loving these journals, but I digress...  What I should have been reading and what I would heartily advise any undergrad in science to read are the MAA journals:

College Mathematics Journal[3]

Mathematics Magazine[4]

and American Mathematics Monthly[5]

I've listed them from what I perceive to be the simplest to the most complex. They're well written and generally fun.  There's always at least one great article that I can comprehend, month after month, and no matter what your field, these journals can help you build the mathematical foundations you'll need.

References
1.  Richard Green on Cookie Monster
https://plus.google.com/101584889282878921052/posts/8qWvSaLJVGD

2.  Cookie Monster and Fibonacci Sequences
http://www.jstor.org/discover/10.4169/college.math.j.45.2.129?uid=3739920&uid=2&uid=4&uid=3739256&sid=21103590207767

and the open access version on Arxiv
http://arxiv.org/abs/1305.4305

3.  http://www.jstor.org/action/showPublication?journalCode=collmathj

4.  http://www.jstor.org/action/showPublication?journalCode=mathmaga

5.  http://www.jstor.org/action/showPublication?journalCode=amermathmont

6.  Richard Green's Engager Showcase Circle
https://plus.google.com/101584889282878921052/posts/KjVfRTXA5Go

Comments

Popular posts from this blog

The Valentine's Day Magnetic Monopole

There's an assymetry to the form of the two Maxwell's equations shown in picture 1.  While the divergence of the electric field is proportional to the electric charge density at a given point, the divergence of the magnetic field is equal to zero.  This is typically explained in the following way.  While we know that electrons, the fundamental electric charge carriers exist, evidence seems to indicate that magnetic monopoles, the particles that would carry magnetic 'charge', either don't exist, or, the energies required to create them are so high that they are exceedingly rare.  That doesn't stop us from looking for them though! Keeping with the theme of Fairbank[1] and his academic progeny over the semester break, today's post is about the discovery of a magnetic monopole candidate event by one of the Fairbank's graduate students, Blas Cabrera[2].  Cabrera was utilizing a loop type of magnetic monopole detector.  Its operation is in concept very sim

Cool Math Tricks: Deriving the Divergence, (Del or Nabla) into New (Cylindrical) Coordinate Systems

Now available as a Kindle ebook for 99 cents ! Get a spiffy ebook, and fund more physics The following is a pretty lengthy procedure, but converting the divergence, (nabla, del) operator between coordinate systems comes up pretty often. While there are tables for converting between common coordinate systems , there seem to be fewer explanations of the procedure for deriving the conversion, so here goes! What do we actually want? To convert the Cartesian nabla to the nabla for another coordinate system, say… cylindrical coordinates. What we’ll need: 1. The Cartesian Nabla: 2. A set of equations relating the Cartesian coordinates to cylindrical coordinates: 3. A set of equations relating the Cartesian basis vectors to the basis vectors of the new coordinate system: How to do it: Use the chain rule for differentiation to convert the derivatives with respect to the Cartesian variables to derivatives with respect to the cylindrical variables. The chain

More Cowbell! Record Production using Google Forms and Charts

First, the what : This article shows how to embed a new Google Form into any web page. To demonstrate ths, a chart and form that allow blog readers to control the recording levels of each instrument in Blue Oyster Cult's "(Don't Fear) The Reaper" is used. HTML code from the Google version of the form included on this page is shown and the parts that need to be modified are highlighted. Next, the why : Google recently released an e-mail form feature that allows users of Google Documents to create an e-mail a form that automatically places each user's input into an associated spreadsheet. As it turns out, with a little bit of work, the forms that are created by Google Docs can be embedded into any web page. Now, The Goods: Click on the instrument you want turned up, click the submit button and then refresh the page. Through the magic of Google Forms as soon as you click on submit and refresh this web page, the data chart will update immediately. Turn up the: