# matrix

### Example 9.21: The birthday "problem" re-examined

February 23, 2012 |

The so-called birthday paradox or birthday problem is simply the counter-intutitive discovery that the probability of (at least) two people in a group sharing a birthday goes up surprisingly fast as the group size increases. If the group is only 23 peo...

### Once you’re comfortable with 2-arrays and 2-matrices, you…

October 15, 2011 |

Once you’re comfortable with 2-arrays and 2-matrices, you can move up a dimension or two, to 4-arrays or 4-tensors. You can move up to a 3-array / 3-tensor just by imagining a matrix which “extends back into the blackboard”. Like a 5 × 5 ma... [Read more...]

### Le Monde puzzle [#738]

September 1, 2011 |

The Friday puzzle in Le Monde this week is about “friendly perfect squares”, namely perfect squares x2__10 and y2__10 with the same number of digits and such that, when drifting all digits of x2 by the same value a (modulo 10), one recovers y2. For instance, 121 is “friend” with 676. Here is ... [Read more...]

### Example 9.1: Scatterplots with binning for large datasets

July 5, 2011 |

Scatterplots can get very hard to interpret when displaying large datasets, as points inevitably overplot and can't be individually discerned. A number of approaches have been crafted to help with this problem. One approach uses binning. This approa...

### Summarize Data by Several Variables

May 23, 2011 |

Here's an example how to conveniently summarize data with the cast function (package reshape). By the way you see how this could be done "in-conveniently" by hand. You also see how a for-loop works and how a matrix is constructed and fill...

### Block diagonal matrices in R

April 13, 2011 |

As far as I can tell, R doesn’t have a function for building block diagonal matrices so as I needed one, I’ve coded it myself. It might save someone some time. Example: Let m1 and m2 two square matrices. Selec … Continue reading → [Read more...]

### Example 7.31: Contour plot of BMI by weight and height

April 5, 2010 |

A contour plot is a simple way to plot a surface in two dimensions. Lines with a constant Z value are plotted on the X-Y plane.Typical uses include weather maps displaying "isobars" (lines of constant pressure), and maps displaying lines of constant e...