k -d Darts

Exercises in High-Dimensional Sampling: Maximal Poisson-Disk Sampling and k-d Darts

We review our recent progress on efficient algorithms for generating wellspaced samples of high dimensional data, and for exploring and characterizing these data, the underlying domain, and functions over the domain. To our knowledge, these techniques have not yet been applied to computational topology, but the possible connections are worth considering. In particular, computational topology pr...

Studies of Three-Body B^+→D ̅^* 〖(2007)〗^0 K^+ K ̅^0 and B^0→D^* 〖(2010)〗^- K^+ K ̅^0 Decays

We analyze three-body decays of and . Under the factorization approach, there are tree level diagrams for these decay modes and the transition matrix element of decay is factorized into a form factor multiplied by decay constant and form factor multiplied into weak vertices form factor. The transition matrix element of decay is also factorized into a form factor multiplied into weak vertic...

A Statistician Plays Darts

Darts is enjoyed both as a pub game and as a professional competitive activity. Yet most players aim for the highest scoring region of the board, regardless of their skill level. By modeling a dart throw as a 2-dimensional Gaussian random variable, we show that this is not always the optimal strategy. We develop a method, using the EM algorithm, for a player to obtain a personalized heatmap, wh...

Darts and hoopla board design

The Empoisoned Darts of Venus

OIn 1775 Joseph Priestley issued the first volumes of his Experiments & Observations on different kinds of Air [1], the fruit of work which had been occupying him for the previous four or five years [2], In the appendix to volume II of Priestley's work appeared a letter dated 3rd October 1775 in which the writer asserts that there is "no room to doubt of the great advantages the medical world m...