There are many more pictures from Germany and Poland on my picassa page.
5 years ago
A blog about physics and math and teaching and music and travel and life at home
Roadwork next 1.41 MilesThis raises a number of questions. First, how many digits are really needed? Would alerting drivers that the construction will last for 1.4 miles be sufficient? How can the additional one hundredth of a mile matter?
Intrinsic computation refers to how dynamical systems store, structure, and transform historical and spatial information. By graphing a measure of structural complexity against a measure of randomness, complexity-entropy diagrams display the range and different kinds of intrinsic computation across an entire class of system. Here, we use complexity-entropy diagrams to analyze intrinsic computation in a broad array of deterministic nonlinear and linear stochastic processes, including maps of the interval, cellular automata and Ising spin systems in one and two dimensions, Markov chains, and probabilistic minimal finite-state machines. Since complexity-entropy diagrams are a function only of observed configurations, they can be used to compare systems without reference to system coordinates or parameters. It has been known for some time that in special cases complexity-entropy diagrams reveal that high degrees of information processing are associated with phase transitions in the underlying process space, the so-called ``edge of chaos''. Generally, though, complexity-entropy diagrams differ substantially in character, demonstrating a genuine diversity of distinct kinds of intrinsic computation.
We're looking for dynamic team players, individuals who appreciate our respect for innovation in the classroom...Amazing. They're not looking for an innovative teacher. They're not even looking for someone who respects other people's innovative teaching. Nope, they're looking for someone who appreciates other people's respect for other people's innovative teaching. Brilliant.