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Maximal range of a projectile at height h

I remember entering a design contest at school where we had to make a self propelled vehicle out of toilet rolls, elastic, etc... During that process one of the Physics teachers mentioned that to maximize the range of a projectile one should aim at 45 degrees. This is another story of how a teacher was wrong. It is also the story of how he was

How to find k-subsets, grey codes and polynomials

I have recently been online hunting for some interesting programming/math related questions and found a question which essentially boiled down to finding the 2-subsets of a set. There could be many applications for an algorithm which can do this efficiently, such as finding all possible edges in a graph, or in the general case of k-subsets

Parallelising python network jobs for a sweet speed boost.

Khan Academy offer all sorts of coach stats for student feedback. The interface allows you to see a large overview of your classes, or to get super granular and see how a particular student has struggled. One thing they don't offer, however, is the ability to see a students energy points over a particular time period. We wanted to send our

Why my school teachers were wrong to say 0.999... = 1

I remember school maths surprisingly well. One thing I remember was the day my teacher confidently asserted that the decimal expansion 0.999... = 1. This felt wrong to me, and I remember one day day dreaming while staring at an asymptote on the board. I daydreamed that the graph represented the time until the end of the period. This produced a

Exploring Javas Fork Join Framework

We've been taking a look at concurrency recently, which leaves an excellent opportunity to study Java's new(ish) Fork/Join framework. The idea is, you have a task, and if it can benifit from splitting into a bunch of threads it forks out, and later joins them together when the work is done. Traditionally, to make a thread we(I) do something

My motivation behind interning at Numeric.org

When I first came across one of Sals videos in 2009, I felt a sense of liberation and independance I'd so often sought out at school. In school, I had the ability to do well, but couldn't stand the unforgiving structure of the school framework and as such often came out of a school day feeling as though I could finally go home and learn. Mostly

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