Some Topics Pick-up in Australia

Pick up sticks

Break a ruler of length n inches with indentations at each inchmark into n sticks of length one by repeatedly picking up all the fragments which are still of length greater than one and throwing them down all at once until all the sticks are of length one. Assume that each stick breaks into exactly two sticks uniformly at the inchmarks. What is the expected number of throws needed to complete t...

Some topics in orthogonality

Some Topics in Parser Generation

An algorithm has been developed that generates an error-correcting recursive-descent syntax analyzer (parser) with no backtrack from an extended context-free grammar. A program, LLGEN, has been written to implement this algorithm. The paper discusses three aspects of the algorithm: the support of separate compilation, the mechanism for the static or dynamic resolving of conflicts, and the error...

Some topics in ergodic theory

Contents Chapter 1. Introduction 5 Chapter 2. Measure-preserving transformations and other basic notions of ergodic theory for deterministic systems 11 1. Example: circle rotations 11 2. Measure-preserving transformations. Formal definitions 13 3. Poincaré's recurrence theorem 15 4. Stochastic processes: basic notions 17 5. Interpretation of measure-preserving maps via stationary processes 19 6...

A Brief History of the Pick Environment in Australia

Mainstream Information Technology professionals have misunderstood the Pick environment for many years. The Pick environment has been conceived, designed and built with business solutions as its key driver. At its heyday there were over 3,000 business applications available across a very wide range of hardware platforms supporting from 1 to thousands of real time users. The tentative economic r...