Snip!t channels - Alan Dix

Cross-validation is the statistical practice of partitio... data into subsets such that the analysis is initially pe... single subset, while the other subset(s) are retained fo...
The initial subset of data is called the training set; t ...
The theory

A comparison of some of the most common proportions show... differ. Of the proportions that are shown here, the lett... widest, and the golden section is the longest. 3 x 4 is ... of the common TV, 5 x 7 is a popular photo print format,... format (24

If we define
to be a new estimator of , then the bias of is
which is less than the bias of since it eliminates the ...
where i = 1, ... n. This is the first order jackknife e ...
.

For a large range of practically useful cases, MIT resea... to increase the speed of one of the most important algor... information sciences.

The power to understand and predict the quantities of th... be restricted to those with a freakish knack for manipul...
When most people speak of Math, what they have in mind i ...
This mechanism of math evolved for a reason: it was the ...
We are no l

Self-Referential Aptitude Test
by Jim Propp (propp@math.mit.edu)
A few years ago I wrote a "Self-Referential Aptitude Tes ...
The solution to the puzzle is unique, and in some cases ...
... all of the above

The Hanging Chain
The first continuous system whose normal modes were know ...

Take about 30 paper clips, and connect them end-to-end i... Hold one end of the chain in your fingers and let the ot... Gently swing (or twirl) the chain and you should find th... "lock" in on a very specific mode shape which occurs at ...
The shapes

JsMath is a collection of JavaScript programs that make ... display mathematics within web pages. It works across mu... and hardware platforms, without the need for additional ... plugins on the part of the user. (It helps, however, if ... a set of ma

MathJax is an open source JavaScript display engine for ...
No more setup for readers. No more browser plugins. No m ...
LaTeX:
Jα(x)=∑m=0∞(−1)mm!Γ(m+α+1)(x2)2m+α
... (Math rendered by MathJax)

An example of a Quadratic Equation:
Quadratic Equation
Quadratic equations pop up in many real world situations!

A “standard-free” definition for the meter was actually proposed back in the 17th century. The Dutch mechanic, physicist, mathematician, astronomer, and inventor Christiaan Huygens suggested using a simple pendulum for this purpose. You...

The other striking story from this year’s results is the huge and growing popularity of maths, which becomes the first A-level to exceed 100,000 entries, while 17,000 pupils took further maths, making it the subject with the biggest year-...