Erdős–Bacon numbers got their start when Simon Singh (reference 1 archived) was having lunch with me, and I observed that mine was 4. He writes for a living, so he wrote a column.
Oddly, I was long ago written out of this Wikipedia article.
There is a reasonable ambiguity about Erdős numbers, as people do publish posthumously with him, based on collaborations while he was alive.
There is also an ambiguity about Bacon numbers. One can take the spirit of the original dorm room bull sessions that started Bacon numbers, or one can take the idiosyncrasies as gospel of the web site that now reports Bacon numbers. For example, a mathematician can appear as themself in a documentary, and gain a Bacon number according to this web site. They defend this by observing that these mathematicians did experience film sets (so do caterers) but the reality is that it's too hard to clean the data. I've been interviewed multiple times for documentaries, and the experience bears no resemblance whatsoever to that of working on and acting in "A Beautiful Mind". The original intent was to count actors with credited speaking roles.
Thanks for the background! Why did you two choose to make it the sum of the two scores (so L1 distance) rather than L-inf/max?
It seems to me that you'd want to have the minimum value be a 1, representing someone who co-authored a paper with Erdos and appeared in a film with Bacon. The sum will always be at least two though (whatever I guess), but that also (2,2) isn't that far away from the "origin" such that it feels wrong to call it 4 (and similarly 2,4 being 6 seems funny).
I prefer the sum, as it describes the minimum-length path containing all participants. It seems like the intuitive expansion of the concept of the Erdös number.
Yes, Dave Bayer. I was the math consultant, but it's like joining the circus, once inside you do what you can. For one example, when I was a kid my Mom left out a Time Life book on drugs, and my brother and I were fascinated by the various photographs of spiderwebs made under the influence of different recreational drugs. That idea helped shape the "mad shack" in the film. I was also Russell Crowe's hand double, and I had a speaking part in the pen ceremony.
I personally want to thank you. As a mathematician, I always dislike the way maths is displayed in most movies. It was very refreshing to see students compute De Rham cohomology and discuss Galois theory (if I recall correctly) in a major Hollywood production.
Then again, "It's my turn" has a proof of the snake lemma in it! :-) (but the scene is much less realistic)
Not having seen the movie, I'm guessing there are scenes where Crowe needs to write some math, and it just looked more convicing by letting an actual mathematician do it for him.
Not the OP, but I'm guessing that Syzygies is Professor David Allen Bayer. [0][1]
>Bayer was a mathematics consultant for the film A Beautiful Mind, the biopic of John Nash,
"Syzygies" appears to be a reference to a construct in abstract algebra. [2][3]
Dave Bayer is referenced on the version of the Wikipedia page Erdős–Bacon number dated 03:25, 9 February 2013. [4]
>For a time, the person with the lowest known Erdős–Bacon number was Dave Bayer, mathematical consultant to A Beautiful Mind who was on screen in a minor role in the movie. Rance Howard was also in A Beautiful Mind and in Apollo 13 with Kevin Bacon to give Bayer a Bacon number of 2. Bayer wrote a paper with Persi Diaconis, who has an Erdős number of 1 due to a jointly authored 1977 Stanford University technical report, later published in a 2004 compilation. As such, Bayer's Erdős–Bacon number is 4. ...
But there is a tsunami of deletions [5] by Wikipedia User:Cresix [6] on that day, and the text above plus a table that references Dave Bayer is gone.
Oddly, I was long ago written out of this Wikipedia article.
There is a reasonable ambiguity about Erdős numbers, as people do publish posthumously with him, based on collaborations while he was alive.
There is also an ambiguity about Bacon numbers. One can take the spirit of the original dorm room bull sessions that started Bacon numbers, or one can take the idiosyncrasies as gospel of the web site that now reports Bacon numbers. For example, a mathematician can appear as themself in a documentary, and gain a Bacon number according to this web site. They defend this by observing that these mathematicians did experience film sets (so do caterers) but the reality is that it's too hard to clean the data. I've been interviewed multiple times for documentaries, and the experience bears no resemblance whatsoever to that of working on and acting in "A Beautiful Mind". The original intent was to count actors with credited speaking roles.