In which I tell you about solving problems with at least 2 different approaches. And the squeeze theorem.
Absolutes and almost every
Back when I was writing my thesis, I came across this abbreviation: a.e. It took me a while, but I eventually found that it meant almost every. This might have been almost everywhere in measure theory, but I don’t think so. I seem to recall just “almost every”.
Almost every what, you ask?
Well, I was doing research on computer virus behaviour, so I had books from computer security, graph theory, biological viruses, mathematical models (with exponents and ordinary differential equations and such). I think it was in graph theory. An author was talking about a result or theorem and the proof included almost every type of graph, which was good enough.
I thought that was interesting, because I’ve thought of mathematics as absolute. Maybe this was why I suck at statistics… The idea of some event having a probability of happening, instead of just be or be not, shakes my world somewhat. Of course, I’m less shaken now since life isn’t really absolute…
My greatest accomplishment came when I was in the computer lab, and a Masters student was around. She’s from China, and you know those people are wicked clever. She held up a book, looked at me, then walked over to me.
“Do you know what a.e. means?”
AHA! Me, honours student, knew something a Masters student didn’t!
“I think it means almost every.”
“Oh. OHHHH! Thanks!”
I suspect she asked me because she believed my English was better than hers, and not because I was more knowledgeable in whatever topic that book of hers was about. Have you seen programming books translated to Chinese? I can read the words, but that doesn’t mean I know what the hashbrown that meant… She approached me probably (yay statistics) because she believed a.e. stood for something that someone moderately versed in English will know.
Still, it was an accomplishment. I could tell you I went on to brag about it to all my friends, but truth be told, I continued working on my program code… I was in the computer lab for something, you know…
Don’t rely on just the average!
I made this video because I’ve always been skeptical about reports (such as population census and surveys) with the average as the only statistical measurement.
Conic Space-Time
I received an email from Parker Emmerson. He’s a mathematician, and he’s solved the innate velocity within the Lorentz transformation. And he’s asked me if I was interested in working on a project with him.
Now, I’m flattered by this. I also want to say I’m not really that smart (I had to look up “Lorentz transformation”…). You, on the other hand, are smarter than me. So here’s the document he sent me: The Geometric Pattern of Perception Theorems. I haven’t done academic math in a while. That’s a lot of equations to digest for me…
So here are the few projects he has in mind for collaboration:
- Write the paper in Latex for co-author credit while making it look and feel more official by including outside sources about relativity.
- Figure out why the equation will solve at all. To me, it looks like it shouldn’t solve.
- Write a computer program using the formulae that has some external application beyond making a graph. For instance, the system of a circle transforming through a cone is similar to complex analysis, and I have already done work connecting the two frameworks. We use complex analysis for video games.
- What is the relationship to black holes?
- The algebraic structure of the height of the cone necessitates acceleration. How can we relate this to the acceleration of galaxies?
Just reading through those project descriptions, being a mathematician, a physicist (black holes!), a programmer seems helpful.
If you’re interested, please contact Parker. For security, I’m not listing his email address here, but you can find him at his site (his email’s listed there). Or you can leave a comment here or contact me, and I’ll introduce you to him.
Personally, I think that’s awesome. It’s a pity I’m not that smart. So help Parker if you can. Help science forge a new frontier.
To infinity and beyond!
Carnival of Mathematics #67
The 67th Carnival of Mathematics is up. Awesome stuff there, so go check it out.
Something caught my attention. James Grime created a video of a math puzzle involving two trains and a fly. Hmm… sounds familiar…
Then there’s the video with the solution:
That sounds really familiar…

Bzzz…


I write about maths, programming, entrepreneurship and business stuff. I also make videos.






