__107th Carnival of Mathematics__

The number 107 is a Chen prime. Say what?

**A Chen prime**. Named after Mathematician Chen Jingrun, it is defined as any prime number *p* which exists such that *p+2* is either a prime or a product of two primes. Obviously,107+2=109 is a prime number, thereby satisfying one of the above-mentioned conditions.

Also, the number 107 is the exponent of a Mersenne prime given by the formwhich happens to yield thegargantuan value of 162259276829213363391578010288127. Don't forget 2^{3} + 2^{3} + 3^{3} + 4^{3} = 107. Rather neat don't you think?

Straying off for a bit, here are some other fun facts (not exactly related to maths though):

- 107 is the atomic number of Bohrium.
- There is a 107% rule which is applicable to Formula 1 racing qualifying sessions; this rule states that during the first qualifying phase, any driver failing to establish a lap timing within 107 percent of the fastest time in that phase itself will be disallowed from starting the race.
- A common designation for the
*fair use*exception in US copyright law (read: 17 U.S.C. 107)

And so the carnival shall commence. Welcome to the 107th edition.

Football and Maths would seem to make an odd combination, but Oluwasanya Awe's post titled

**"An Optimization Problem: UEFA Champions League Standings"**will set you thinking otherwise. He explains:

**"I was inspired to look into the Mathematics of UEFA Champions League tables after the end of the group stages of the competition and I was fascinated by my observations."**

Still on the topic of football, Matifutbol composes a

**piece**which involves

**"a new signing, a public secret, sports betting, spirals, sunflowers, the Parthenon, and a Greek newspaper."**

Some technicalities as well as Mathematical definitions were explained and explored in greater depth; Richard Elwes suggests serious readers spend time going through

**Skulls In The Stars**'s post about

**Abel summation and analytic continuation.**He himself has also written at length about the "philosophy" of infinite series,as seen from this

**post**of his. Colin Beveridge gives his two cents as well in the

**"Why The Maths of Infinite Sums Is Dangerous"**post.

Alison Atkins feels terribly upset about Coca-Cola's recent Coke Zero advertisement in the UK, so much so she has taken to writing about

**all that's wrong with the ad itself.**

Shecky R highlights an interesting error within an old problem/calculation from a classic Math volume by Edward Kasner and James Newman in her post titled

**"Polygons, Circles and Limits, Oh My… an interesting errata"**, while Jim Frost over at the

**Minitab Blog**explains his

**preference for the standard error S over the coefficient of determination R**

^{2 }in regression analysis.It is common knowledge that 0! and a

^{0 }are both equivalent to the magical value of 1. But do you know exactly why? Peter Rowlett does a rather marvellous job

**in explaining this**to students.

David Orden who writes at

**Mapping Ignorance**poses an interesting question:

**"Imagine you are a watchman, having to patrol some streets. Today you are assigned to straight, well-illuminated, and wide streets, that can be checked with a glance from the intersection. Before starting the route, you want to determine the shortest route allowing to check all your streets. How difficult can this be?"**

Apparently not quite a walk in the park, as he attempts to break down the complexity of this problem in a recent

**post**of his.

And then we move on to the topic of names. There is

**xkcd's**oddball yet humorous discourse about

**baby names and their statistical occurences**, and there is also a treatment on the appropriate collective noun-naming for Mathematicians of various fields over at

**Scientific American**.

Before I conclude this edition, do check out John Cook's thoughts on

**rational cosines**, and my

**derivation of the Lactus Rectum of a Hyperbola.**

Hope you will have as much fun lapping up the offerings here as I did in presenting them. Peace.

**6 February 2014**

Do note that the next edition of the Carnival of Mathematics will be hosted at

**Math Hombre**.

(PS: I would like to accord a sincere thank-you to

**for giving me the opportunity to contribute once again to this blossoming math blogging community. )**

__Katie Steckles__