Swinging and Twisting
A geometric dissection is a cutting of a geometric figure into pieces that can be arranged to form another figure. They are employed in visual demonstrations of relationships such as Pythagoras’ theorem, and as mathematical puzzles such as Loyd and Dudeney’s hinged dissection of a quadrilateral triangle to a square. For those fascinated by beautiful geometric objects, Frederickson presents his second collection of dissections, hinged rather than simply cut, and including swings and twists for 3D puzzles. Off-mint with a felt-tip mark on lower trimmed edge.
How the World Became Obsessed with Time
‘Technology is making everything faster, and because we know that things will become faster in the future, it follows that nothing is fast enough now.’ Surveying how, over the last 250 years, time has come to dominate our lives, Simon Garfield considers its practical applications rather than theoretical physics: the subjects of his ‘illuminating stories’ include – definitely not in chronological order – football, Beethoven’s Ninth, railway timetables, Roger Bannister, Swiss watchmakers, The Clock (Christian Marclay’s film) and the British Museum.
Entropy of Hidden Markov Processes and Connections to Dynamical Systems
Papers from the Banff International Research Station Workshop
The mathematics of hidden Markov processes (HMPs) can be applied to many kinds of noise-related technologies, from speech and optical character recognition to biomolecular sequence analysis. This collection of nine papers from a 2007 workshop at the Banff International Research Station covers the entropy rate problem, or measure of randomness, of HMPs, with reference to informational theory, dynamical systems, statistical mechanics and probability theory.