This page demonstrates the use of JavaScript to perform Fourier Transforms, and DHTML to produce graphs of functions
I had a look around but most of the math animations are Java applets which I find a bit top heavy, and this should be doable in Javascript.
Topology has countless applications to other areas of mathematics, but I’d not heard of much work directly applying topology to practical physical problems.
I've come to realise that I can consider it as wandering around on a smooth landscape in 1800 dimensions
R is a language and environment for statistical computing and graphics. It is a GNU project which is similar to the S language and environment which was developed at Bell Laboratories (formerly AT&T, now Lucent Technologies) by John Chambers and colleagues. R can be considered as a different implementation of S. There are some important differences, but much code written for S runs unaltered under R.
It's found by following a relatively simple math formula. But in the end, it's still only 2D and flat - there's no depth, shadows, perspective, or light sourcing. What we have featured in this article is a potential 3D version of the same fractal. For the impatient, you can skip to the nice pics, but the below makes an interesting read (with a little math as well for the curious).
This is an attempt to collect all known amicable pairs.
Perhaps the best way to view the plane is via linear algebra. Using the standard construction via homogeneous coordinates, we can identify the points with the non-zero ordered triples of binary digits, excluding 000. This can be done in such a way that for every two points we can find the third point on the line through the two by adding modulo 2 in each position. In other words, the points of the Fano plane correspond to the non-zero points of the finite vector space F23 of dimension 3 over F2 , the finite field of order 2. A line in the Fano plane corresponds to a 2-dimensional subspace of F23: the points a, b, c are collinear if and only if a + b = c (equivalently, b + c = a, or c + a = b).
A set of nontransitive dice is a set of dice for which the relation "is more likely to roll a higher number" is not transitive. See also intransitivity.
Given a circle. Find the probability that a chord chosen at random be longer than the side of an inscribed equilateral triangle.
The word 'four' has 4 letters and is the smallest honest number. Honest numbers are numbers n that can be described using exactly n letters in standard mathematical English.