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ACM Ubiquity - In Search of the Real Network Science: An Interview with David Alderson
David Alderson has become a leading advocate for formulating the foundations of network science so that its predictions can be applied to real networks. He is an assistant professor in the Operations Research Department at the Naval Postgraduate School in Monterey, Calif., where he conducts research with military officer-students on the operation, attack, and defense of network infrastructure systems. We interviewed him to find out what is going on.
Polymath1 and open collaborative mathematics « Gowers’s Weblog
Retrospective about online mathematical collaboration project that recently took place at Gower's weblog.
Technology Review: Blogs: arXiv blog: The Surprisingly Complex Art of Cake Cutting
The problem is this: how do you cut a cake and divide it fairly among n people when each person may have a different opinion of the value of each piece?
The Failure of Macroeconomics « ThinkMarkets
it is not simply a matter of finding the right explanation of the recent financial meltdown and recession. The search by most macroeconomists is constrained by a certain set of unquestioned methodological precepts. These precepts go to the heart of the conception of Economics as a Science.
The Church-Turing Thesis: Breaking the Myth | Lambda the Ultimate
This paper seeks to explode the myth that Turing Machines (TM) are the universal model for all computation.
Benford’s law, Zipf’s law, and the Pareto distribution « What’s new
A remarkable phenomenon in probability theory is that of universality – that many seemingly unrelated probability distributions, which ostensibly involve large numbers of unknown parameters, can end up converging to a universal law that may only depend on a small handful of parameters. One of the most famous examples of the universality phenomenon is the central limit theorem
MIT OpenCourseWare | Mathematics | 18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics, Spring 2005 | Home
This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields.
Picoeconomics
Picoeconomics (micro-micro-economics) explores the implications of an experimental discovery: that people (often) and lower animals (always) discount the prospect of future rewards in a curve that is more deeply bowed than a "rational," exponential curve. Over a range of delays from seconds to decades, there are pairs of alternative rewards such that subjects prefer the smaller, earlier reward over the larger, later alternative when delay to the smaller reward will be short, but prefer the larger, later reward when the smaller alternative will be more delayed, even though the time from the earlier to the later reward stays the same. The curves that fit the observed data best are hyperbolic, that is, show value as inversely proportional to delay.
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